Interpreting Summary Results with lc500s
a12_interpreting_summary_results_lc500s.RmdGoal
This vignette explains what each summary-mode dataframe stores in the
bundled lc500s study.
For each dataframe:
- You get markdown column descriptions.
- You see
head(...)output.
Summary Folder Metadata (metadata.json)
This JSON file is not a dataframe, but it controls how all summary tables should be interpreted.
Top-level fields:
-
study_name: Summary study folder name. -
original_study_name: Source patient-level study. -
source_path: Path to source study used during precompute. -
mode: Expected value issummary. -
demographics: Cohort and age/sex summary block. -
clustering: Clustering quality and cluster-size summaries byk. -
cluster_k_values: List of precomputedkvalues. -
concept_limit: Max concepts used in clustering pipeline. -
min_cell_count: Suppression threshold used in precompute. -
significant_concepts: Count of significant concepts retained. -
clustering_guardrails: Guardrails for matrix and overlap computations.
#> List of 11
#> $ study_name : chr "lc500s"
#> $ original_study_name : chr "lc500"
#> $ source_path : chr "inst/example/st/lc500"
#> $ mode : chr "summary"
#> $ demographics :List of 7
#> ..$ target_patients : int 500
#> ..$ control_patients: int 346
#> ..$ age_mean : num 67
#> ..$ age_median : num 66
#> ..$ age_std : num 10.4
#> ..$ male_proportion : num 0.562
#> ..$ distributions :List of 4
#> $ clustering :List of 4
#> ..$ 2:List of 5
#> ..$ 3:List of 5
#> ..$ 4:List of 5
#> ..$ 5:List of 5
#> $ cluster_k_values :List of 4
#> ..$ : int 2
#> ..$ : int 3
#> ..$ : int 4
#> ..$ : int 5
#> $ concept_limit : int 60
#> $ min_cell_count : int 5
#> $ significant_concepts : int 16
#> $ clustering_guardrails:List of 2
#> ..$ cluster_feature_matrix_cell_threshold: int 50000000
#> ..$ pairwise_overlap_max_concepts : int 500
concept_summaries.parquet
One row per concept with overall summary statistics.
Column descriptions:
-
CONCEPT_ID: Concept identifier. -
HERITAGE: Domain/heritage of concept. -
time_count: Number of timing observations used. -
time_min: Minimum time-to-event. -
time_max: Maximum time-to-event. -
time_mean: Mean time-to-event. -
time_median: Median time-to-event. -
time_std: Standard deviation of time-to-event. -
time_q1: 25th percentile of time-to-event. -
time_q3: 75th percentile of time-to-event. -
time_iqr: Interquartile range of time-to-event. -
patient_count: Number of target patients with concept. -
CONCEPT_NAME: Concept name. -
time_histogram_bins: JSON text for histogram bin edges. -
time_histogram_counts: JSON text for histogram counts. -
time_kde_x: JSON text for KDE x-grid. -
time_kde_y: JSON text for KDE y-values. -
age_mean: Mean age for concept-positive patients. -
age_median: Median age for concept-positive patients. -
age_std: Age standard deviation. -
age_q1: 25th percentile of age. -
age_q3: 75th percentile of age. -
n_ages: Number of non-missing ages used. -
male_proportion: Male proportion for concept-positive patients. -
TARGET_SUBJECT_PREVALENCE: Target prevalence. -
CONTROL_SUBJECT_PREVALENCE: Control prevalence. -
PREVALENCE_DIFFERENCE_RATIO: Target/control prevalence ratio.
#> CONCEPT_ID HERITAGE time_count time_min time_max time_mean
#> 1 2107967 procedure_occurrence 247 0 161 25.30769
#> 2 2107968 procedure_occurrence 171 0 147 22.96491
#> 3 2108158 procedure_occurrence 156 0 89 21.06410
#> 4 32280 death 541 11 320 224.82070
#> 5 32815 death 150 19 299 239.34000
#> 6 4008211 procedure_occurrence 739 0 160 36.50609
#> 7 4008226 procedure_occurrence 566 0 151 29.57951
#> 8 4014023 observation 205 39 309 211.08780
#> 9 4032404 procedure_occurrence 673 0 36 12.19019
#> 10 4167262 procedure_occurrence 682 0 33 11.95601
#> time_median time_std time_q1 time_q3 time_iqr patient_count
#> 1 22 19.061157 17 28.00 11.00 165
#> 2 18 21.523966 13 24.00 11.00 168
#> 3 21 9.573943 16 26.00 10.00 156
#> 4 224 34.996074 202 249.00 47.00 156
#> 5 248 41.324194 231 258.75 27.75 147
#> 6 36 16.465153 25 47.00 22.00 171
#> 7 29 13.213825 22 37.00 15.00 164
#> 8 215 38.142819 192 233.00 41.00 147
#> 9 12 7.170506 7 17.00 10.00 462
#> 10 12 6.805746 7 17.00 10.00 455
#> CONCEPT_NAME
#> 1 Lobectomy
#> 2 Lobectomy of lung
#> 3 Partial pneumonectomy
#> 4 Death
#> 5 Death Certificate
#> 6 Radiotherapy
#> 7 Chemotherapy
#> 8 Palliative care
#> 9 Bronchoscopy
#> 10 Needle biopsy of lung
#> time_histogram_bins
#> 1 [0.0, 3.22, 6.44, 9.66, 12.88, 16.1, 19.32, 22.540000000000003, 25.76, 28.98, 32.2, 35.42, 38.64, 41.86, 45.080000000000005, 48.300000000000004, 51.52, 54.74, 57.96, 61.18000000000001, 64.4, 67.62, 70.84, 74.06, 77.28, 80.5, 83.72, 86.94000000000001, 90.16000000000001, 93.38000000000001, 96.60000000000001, 99.82000000000001, 103.04, 106.26, 109.48, 112.7, 115.92, 119.14, 122.36000000000001, 125.58000000000001, 128.8, 132.02, 135.24, 138.46, 141.68, 144.9, 148.12, 151.34, 154.56, 157.78, 161.0]
#> 2 [0.0, 2.94, 5.88, 8.82, 11.76, 14.7, 17.64, 20.58, 23.52, 26.46, 29.4, 32.339999999999996, 35.28, 38.22, 41.16, 44.1, 47.04, 49.98, 52.92, 55.86, 58.8, 61.74, 64.67999999999999, 67.62, 70.56, 73.5, 76.44, 79.38, 82.32, 85.26, 88.2, 91.14, 94.08, 97.02, 99.96, 102.89999999999999, 105.84, 108.78, 111.72, 114.66, 117.6, 120.53999999999999, 123.48, 126.42, 129.35999999999999, 132.3, 135.24, 138.18, 141.12, 144.06, 147.0]
#> 3 [0.0, 1.78, 3.56, 5.34, 7.12, 8.9, 10.68, 12.46, 14.24, 16.02, 17.8, 19.580000000000002, 21.36, 23.14, 24.92, 26.7, 28.48, 30.26, 32.04, 33.82, 35.6, 37.38, 39.160000000000004, 40.94, 42.72, 44.5, 46.28, 48.06, 49.84, 51.62, 53.4, 55.18, 56.96, 58.74, 60.52, 62.300000000000004, 64.08, 65.86, 67.64, 69.42, 71.2, 72.98, 74.76, 76.54, 78.32000000000001, 80.1, 81.88, 83.66, 85.44, 87.22, 89.0]
#> 4 [11.0, 17.18, 23.36, 29.54, 35.72, 41.9, 48.08, 54.26, 60.44, 66.62, 72.8, 78.97999999999999, 85.16, 91.34, 97.52, 103.69999999999999, 109.88, 116.06, 122.24, 128.42, 134.6, 140.78, 146.95999999999998, 153.14, 159.32, 165.5, 171.68, 177.85999999999999, 184.04, 190.22, 196.39999999999998, 202.57999999999998, 208.76, 214.94, 221.12, 227.29999999999998, 233.48, 239.66, 245.83999999999997, 252.01999999999998, 258.2, 264.38, 270.56, 276.74, 282.91999999999996, 289.09999999999997, 295.28, 301.46, 307.64, 313.82, 320.0]
#> 5 [19.0, 24.6, 30.2, 35.8, 41.4, 47.0, 52.599999999999994, 58.199999999999996, 63.8, 69.4, 75.0, 80.6, 86.19999999999999, 91.8, 97.39999999999999, 103.0, 108.6, 114.19999999999999, 119.8, 125.39999999999999, 131.0, 136.6, 142.2, 147.79999999999998, 153.39999999999998, 159.0, 164.6, 170.2, 175.79999999999998, 181.39999999999998, 187.0, 192.6, 198.2, 203.79999999999998, 209.39999999999998, 215.0, 220.6, 226.2, 231.79999999999998, 237.39999999999998, 243.0, 248.6, 254.2, 259.79999999999995, 265.4, 271.0, 276.59999999999997, 282.2, 287.79999999999995, 293.4, 299.0]
#> 6 [0.0, 3.2, 6.4, 9.600000000000001, 12.8, 16.0, 19.200000000000003, 22.400000000000002, 25.6, 28.8, 32.0, 35.2, 38.400000000000006, 41.6, 44.800000000000004, 48.0, 51.2, 54.400000000000006, 57.6, 60.800000000000004, 64.0, 67.2, 70.4, 73.60000000000001, 76.80000000000001, 80.0, 83.2, 86.4, 89.60000000000001, 92.80000000000001, 96.0, 99.2, 102.4, 105.60000000000001, 108.80000000000001, 112.0, 115.2, 118.4, 121.60000000000001, 124.80000000000001, 128.0, 131.20000000000002, 134.4, 137.6, 140.8, 144.0, 147.20000000000002, 150.4, 153.60000000000002, 156.8, 160.0]
#> 7 [0.0, 3.02, 6.04, 9.06, 12.08, 15.1, 18.12, 21.14, 24.16, 27.18, 30.2, 33.22, 36.24, 39.26, 42.28, 45.3, 48.32, 51.34, 54.36, 57.38, 60.4, 63.42, 66.44, 69.46, 72.48, 75.5, 78.52, 81.54, 84.56, 87.58, 90.6, 93.62, 96.64, 99.66, 102.68, 105.7, 108.72, 111.74, 114.76, 117.78, 120.8, 123.82000000000001, 126.84, 129.86, 132.88, 135.9, 138.92, 141.94, 144.96, 147.98, 151.0]
#> 8 [39.0, 44.4, 49.8, 55.2, 60.6, 66.0, 71.4, 76.80000000000001, 82.2, 87.6, 93.0, 98.4, 103.80000000000001, 109.2, 114.60000000000001, 120.0, 125.4, 130.8, 136.2, 141.60000000000002, 147.0, 152.4, 157.8, 163.2, 168.60000000000002, 174.0, 179.4, 184.8, 190.20000000000002, 195.60000000000002, 201.0, 206.4, 211.8, 217.20000000000002, 222.60000000000002, 228.0, 233.4, 238.8, 244.20000000000002, 249.60000000000002, 255.0, 260.4, 265.8, 271.20000000000005, 276.6, 282.0, 287.4, 292.8, 298.20000000000005, 303.6, 309.0]
#> 9 [0.0, 0.72, 1.44, 2.16, 2.88, 3.5999999999999996, 4.32, 5.04, 5.76, 6.4799999999999995, 7.199999999999999, 7.92, 8.64, 9.36, 10.08, 10.799999999999999, 11.52, 12.24, 12.959999999999999, 13.68, 14.399999999999999, 15.12, 15.84, 16.56, 17.28, 18.0, 18.72, 19.439999999999998, 20.16, 20.88, 21.599999999999998, 22.32, 23.04, 23.759999999999998, 24.48, 25.2, 25.919999999999998, 26.64, 27.36, 28.08, 28.799999999999997, 29.52, 30.24, 30.959999999999997, 31.68, 32.4, 33.12, 33.839999999999996, 34.56, 35.28, 36.0]
#> 10 [0.0, 0.66, 1.32, 1.98, 2.64, 3.3000000000000003, 3.96, 4.62, 5.28, 5.94, 6.6000000000000005, 7.260000000000001, 7.92, 8.58, 9.24, 9.9, 10.56, 11.22, 11.88, 12.540000000000001, 13.200000000000001, 13.860000000000001, 14.520000000000001, 15.180000000000001, 15.84, 16.5, 17.16, 17.82, 18.48, 19.14, 19.8, 20.46, 21.12, 21.78, 22.44, 23.1, 23.76, 24.42, 25.080000000000002, 25.740000000000002, 26.400000000000002, 27.060000000000002, 27.720000000000002, 28.380000000000003, 29.040000000000003, 29.700000000000003, 30.360000000000003, 31.020000000000003, 31.68, 32.34, 33.0]
#> time_histogram_counts
#> 1 [5, 5, 5, 13, 26, 39, 37, 32, 32, 20, 13, 10, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5]
#> 2 [5, 5, 10, 14, 21, 30, 22, 18, 21, 10, 6, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5]
#> 3 [5, 0, 5, 5, 5, 5, 5, 15, 10, 8, 17, 17, 19, 6, 12, 6, 11, 6, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5]
#> 4 [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 6, 5, 14, 17, 14, 22, 28, 23, 32, 34, 40, 52, 31, 39, 26, 34, 32, 20, 15, 13, 13, 6, 7, 6, 5, 5, 5]
#> 5 [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 9, 10, 15, 6, 18, 19, 16, 15, 7, 6, 5, 5, 5, 5]
#> 6 [13, 8, 8, 14, 22, 41, 38, 46, 44, 53, 72, 52, 58, 53, 48, 50, 25, 27, 19, 14, 13, 8, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5]
#> 7 [13, 6, 8, 16, 21, 37, 37, 54, 65, 59, 45, 52, 50, 27, 22, 24, 10, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5]
#> 8 [5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 8, 7, 5, 5, 12, 11, 8, 14, 12, 19, 12, 19, 10, 11, 9, 5, 8, 5, 5, 7, 5, 5, 5, 0, 0, 5, 5]
#> 9 [45, 11, 12, 0, 15, 17, 23, 0, 18, 35, 0, 28, 37, 40, 0, 46, 39, 0, 36, 30, 27, 0, 39, 30, 0, 22, 24, 14, 0, 18, 15, 10, 0, 9, 12, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5]
#> 10 [37, 10, 0, 24, 15, 0, 18, 23, 0, 26, 35, 0, 27, 40, 0, 35, 34, 0, 44, 41, 0, 28, 28, 0, 28, 42, 0, 30, 29, 0, 21, 19, 0, 10, 9, 0, 6, 5, 0, 5, 5, 0, 5, 6, 0, 5, 5, 0, 5, 5]
#> time_kde_x
#> 1 [0.0, 1.6262626262626263, 3.2525252525252526, 4.878787878787879, 6.505050505050505, 8.131313131313131, 9.757575757575758, 11.383838383838384, 13.01010101010101, 14.636363636363637, 16.262626262626263, 17.88888888888889, 19.515151515151516, 21.141414141414142, 22.767676767676768, 24.393939393939394, 26.02020202020202, 27.646464646464647, 29.272727272727273, 30.8989898989899, 32.525252525252526, 34.151515151515156, 35.77777777777778, 37.4040404040404, 39.03030303030303, 40.65656565656566, 42.282828282828284, 43.90909090909091, 45.535353535353536, 47.161616161616166, 48.78787878787879, 50.41414141414141, 52.04040404040404, 53.66666666666667, 55.292929292929294, 56.91919191919192, 58.54545454545455, 60.17171717171718, 61.7979797979798, 63.42424242424242, 65.05050505050505, 66.67676767676768, 68.30303030303031, 69.92929292929293, 71.55555555555556, 73.18181818181819, 74.8080808080808, 76.43434343434343, 78.06060606060606, 79.68686868686869, 81.31313131313132, 82.93939393939394, 84.56565656565657, 86.1919191919192, 87.81818181818181, 89.44444444444444, 91.07070707070707, 92.6969696969697, 94.32323232323233, 95.94949494949495, 97.57575757575758, 99.20202020202021, 100.82828282828282, 102.45454545454545, 104.08080808080808, 105.70707070707071, 107.33333333333334, 108.95959595959596, 110.58585858585859, 112.21212121212122, 113.83838383838383, 115.46464646464646, 117.0909090909091, 118.71717171717172, 120.34343434343435, 121.96969696969697, 123.5959595959596, 125.22222222222223, 126.84848484848484, 128.4747474747475, 130.1010101010101, 131.72727272727272, 133.35353535353536, 134.97979797979798, 136.60606060606062, 138.23232323232324, 139.85858585858585, 141.4848484848485, 143.11111111111111, 144.73737373737373, 146.36363636363637, 147.989898989899, 149.6161616161616, 151.24242424242425, 152.86868686868686, 154.4949494949495, 156.12121212121212, 157.74747474747474, 159.37373737373738, 161.0]
#> 2 [0.0, 1.4848484848484849, 2.9696969696969697, 4.454545454545455, 5.9393939393939394, 7.424242424242424, 8.90909090909091, 10.393939393939394, 11.878787878787879, 13.363636363636363, 14.848484848484848, 16.333333333333332, 17.81818181818182, 19.303030303030305, 20.78787878787879, 22.272727272727273, 23.757575757575758, 25.242424242424242, 26.727272727272727, 28.21212121212121, 29.696969696969695, 31.181818181818183, 32.666666666666664, 34.15151515151515, 35.63636363636364, 37.121212121212125, 38.60606060606061, 40.09090909090909, 41.57575757575758, 43.06060606060606, 44.54545454545455, 46.03030303030303, 47.515151515151516, 49.0, 50.484848484848484, 51.96969696969697, 53.45454545454545, 54.93939393939394, 56.42424242424242, 57.90909090909091, 59.39393939393939, 60.87878787878788, 62.36363636363637, 63.84848484848485, 65.33333333333333, 66.81818181818181, 68.3030303030303, 69.78787878787878, 71.27272727272728, 72.75757575757576, 74.24242424242425, 75.72727272727273, 77.21212121212122, 78.6969696969697, 80.18181818181819, 81.66666666666667, 83.15151515151516, 84.63636363636364, 86.12121212121212, 87.60606060606061, 89.0909090909091, 90.57575757575758, 92.06060606060606, 93.54545454545455, 95.03030303030303, 96.51515151515152, 98.0, 99.48484848484848, 100.96969696969697, 102.45454545454545, 103.93939393939394, 105.42424242424242, 106.9090909090909, 108.39393939393939, 109.87878787878788, 111.36363636363636, 112.84848484848484, 114.33333333333333, 115.81818181818181, 117.3030303030303, 118.78787878787878, 120.27272727272728, 121.75757575757576, 123.24242424242425, 124.72727272727273, 126.21212121212122, 127.6969696969697, 129.1818181818182, 130.66666666666666, 132.15151515151516, 133.63636363636363, 135.12121212121212, 136.6060606060606, 138.0909090909091, 139.57575757575756, 141.06060606060606, 142.54545454545456, 144.03030303030303, 145.51515151515153, 147.0]
#> 3 [0.0, 0.898989898989899, 1.797979797979798, 2.6969696969696972, 3.595959595959596, 4.494949494949495, 5.3939393939393945, 6.292929292929293, 7.191919191919192, 8.090909090909092, 8.98989898989899, 9.88888888888889, 10.787878787878789, 11.686868686868687, 12.585858585858587, 13.484848484848484, 14.383838383838384, 15.282828282828284, 16.181818181818183, 17.08080808080808, 17.97979797979798, 18.87878787878788, 19.77777777777778, 20.67676767676768, 21.575757575757578, 22.474747474747474, 23.373737373737374, 24.272727272727273, 25.171717171717173, 26.070707070707073, 26.96969696969697, 27.86868686868687, 28.767676767676768, 29.666666666666668, 30.565656565656568, 31.464646464646464, 32.36363636363637, 33.26262626262626, 34.16161616161616, 35.06060606060606, 35.95959595959596, 36.85858585858586, 37.75757575757576, 38.656565656565654, 39.55555555555556, 40.45454545454545, 41.35353535353536, 42.25252525252525, 43.151515151515156, 44.05050505050505, 44.94949494949495, 45.84848484848485, 46.74747474747475, 47.64646464646465, 48.54545454545455, 49.44444444444444, 50.343434343434346, 51.24242424242424, 52.141414141414145, 53.04040404040404, 53.93939393939394, 54.83838383838384, 55.73737373737374, 56.63636363636364, 57.535353535353536, 58.43434343434343, 59.333333333333336, 60.23232323232323, 61.131313131313135, 62.03030303030303, 62.92929292929293, 63.82828282828283, 64.72727272727273, 65.62626262626263, 66.52525252525253, 67.42424242424242, 68.32323232323232, 69.22222222222223, 70.12121212121212, 71.02020202020202, 71.91919191919192, 72.81818181818181, 73.71717171717172, 74.61616161616162, 75.51515151515152, 76.41414141414141, 77.31313131313131, 78.21212121212122, 79.11111111111111, 80.01010101010101, 80.9090909090909, 81.8080808080808, 82.70707070707071, 83.60606060606061, 84.5050505050505, 85.4040404040404, 86.30303030303031, 87.20202020202021, 88.1010101010101, 89.0]
#> 4 [11.0, 14.121212121212121, 17.242424242424242, 20.363636363636363, 23.484848484848484, 26.606060606060606, 29.727272727272727, 32.848484848484844, 35.96969696969697, 39.09090909090909, 42.21212121212121, 45.33333333333333, 48.45454545454545, 51.57575757575758, 54.696969696969695, 57.81818181818181, 60.93939393939394, 64.06060606060606, 67.18181818181819, 70.3030303030303, 73.42424242424242, 76.54545454545455, 79.66666666666666, 82.78787878787878, 85.9090909090909, 89.03030303030303, 92.15151515151516, 95.27272727272727, 98.39393939393939, 101.51515151515152, 104.63636363636363, 107.75757575757575, 110.87878787878788, 114.0, 117.12121212121212, 120.24242424242424, 123.36363636363636, 126.48484848484848, 129.6060606060606, 132.72727272727272, 135.84848484848484, 138.96969696969697, 142.0909090909091, 145.21212121212122, 148.33333333333331, 151.45454545454544, 154.57575757575756, 157.6969696969697, 160.8181818181818, 163.93939393939394, 167.06060606060606, 170.1818181818182, 173.3030303030303, 176.4242424242424, 179.54545454545453, 182.66666666666666, 185.78787878787878, 188.9090909090909, 192.03030303030303, 195.15151515151516, 198.27272727272725, 201.39393939393938, 204.5151515151515, 207.63636363636363, 210.75757575757575, 213.87878787878788, 217.0, 220.12121212121212, 223.24242424242425, 226.36363636363635, 229.48484848484847, 232.6060606060606, 235.72727272727272, 238.84848484848484, 241.96969696969697, 245.0909090909091, 248.2121212121212, 251.33333333333331, 254.45454545454544, 257.57575757575756, 260.6969696969697, 263.8181818181818, 266.93939393939394, 270.06060606060606, 273.1818181818182, 276.3030303030303, 279.42424242424244, 282.54545454545456, 285.66666666666663, 288.78787878787875, 291.9090909090909, 295.030303030303, 298.1515151515151, 301.27272727272725, 304.3939393939394, 307.5151515151515, 310.6363636363636, 313.75757575757575, 316.8787878787879, 320.0]
#> 5 [19.0, 21.828282828282827, 24.656565656565657, 27.484848484848484, 30.313131313131315, 33.141414141414145, 35.96969696969697, 38.7979797979798, 41.62626262626263, 44.45454545454545, 47.282828282828284, 50.111111111111114, 52.93939393939394, 55.76767676767677, 58.5959595959596, 61.42424242424242, 64.25252525252526, 67.08080808080808, 69.9090909090909, 72.73737373737373, 75.56565656565657, 78.39393939393939, 81.22222222222223, 84.05050505050505, 86.87878787878788, 89.70707070707071, 92.53535353535354, 95.36363636363636, 98.1919191919192, 101.02020202020202, 103.84848484848484, 106.67676767676768, 109.5050505050505, 112.33333333333333, 115.16161616161617, 117.98989898989899, 120.81818181818181, 123.64646464646465, 126.47474747474747, 129.3030303030303, 132.13131313131314, 134.95959595959596, 137.78787878787878, 140.6161616161616, 143.44444444444446, 146.27272727272725, 149.1010101010101, 151.92929292929293, 154.75757575757575, 157.58585858585857, 160.41414141414143, 163.24242424242425, 166.07070707070707, 168.8989898989899, 171.72727272727272, 174.55555555555554, 177.3838383838384, 180.21212121212122, 183.04040404040404, 185.86868686868686, 188.6969696969697, 191.5252525252525, 194.35353535353536, 197.1818181818182, 200.010101010101, 202.83838383838383, 205.66666666666666, 208.4949494949495, 211.32323232323233, 214.15151515151516, 216.97979797979798, 219.8080808080808, 222.63636363636363, 225.46464646464648, 228.2929292929293, 231.12121212121212, 233.94949494949495, 236.77777777777777, 239.6060606060606, 242.43434343434345, 245.26262626262627, 248.0909090909091, 250.91919191919192, 253.74747474747474, 256.57575757575756, 259.4040404040404, 262.2323232323232, 265.06060606060606, 267.8888888888889, 270.7171717171717, 273.5454545454545, 276.37373737373736, 279.2020202020202, 282.030303030303, 284.85858585858585, 287.6868686868687, 290.5151515151515, 293.34343434343435, 296.17171717171715, 299.0]
#> 6 [0.0, 1.6161616161616161, 3.2323232323232323, 4.848484848484849, 6.4646464646464645, 8.080808080808081, 9.696969696969697, 11.313131313131313, 12.929292929292929, 14.545454545454545, 16.161616161616163, 17.77777777777778, 19.393939393939394, 21.01010101010101, 22.626262626262626, 24.242424242424242, 25.858585858585858, 27.474747474747474, 29.09090909090909, 30.707070707070706, 32.323232323232325, 33.93939393939394, 35.55555555555556, 37.17171717171717, 38.78787878787879, 40.4040404040404, 42.02020202020202, 43.63636363636363, 45.25252525252525, 46.868686868686865, 48.484848484848484, 50.1010101010101, 51.717171717171716, 53.333333333333336, 54.94949494949495, 56.56565656565657, 58.18181818181818, 59.7979797979798, 61.41414141414141, 63.03030303030303, 64.64646464646465, 66.26262626262626, 67.87878787878788, 69.4949494949495, 71.11111111111111, 72.72727272727272, 74.34343434343434, 75.95959595959596, 77.57575757575758, 79.1919191919192, 80.8080808080808, 82.42424242424242, 84.04040404040404, 85.65656565656566, 87.27272727272727, 88.88888888888889, 90.5050505050505, 92.12121212121212, 93.73737373737373, 95.35353535353535, 96.96969696969697, 98.58585858585859, 100.2020202020202, 101.81818181818181, 103.43434343434343, 105.05050505050505, 106.66666666666667, 108.28282828282828, 109.8989898989899, 111.51515151515152, 113.13131313131314, 114.74747474747474, 116.36363636363636, 117.97979797979798, 119.5959595959596, 121.2121212121212, 122.82828282828282, 124.44444444444444, 126.06060606060606, 127.67676767676767, 129.2929292929293, 130.9090909090909, 132.5252525252525, 134.14141414141415, 135.75757575757575, 137.37373737373738, 138.989898989899, 140.6060606060606, 142.22222222222223, 143.83838383838383, 145.45454545454544, 147.07070707070707, 148.68686868686868, 150.3030303030303, 151.91919191919192, 153.53535353535352, 155.15151515151516, 156.76767676767676, 158.3838383838384, 160.0]
#> 7 [0.0, 1.5252525252525253, 3.0505050505050506, 4.575757575757576, 6.101010101010101, 7.626262626262626, 9.151515151515152, 10.676767676767676, 12.202020202020202, 13.727272727272728, 15.252525252525253, 16.77777777777778, 18.303030303030305, 19.82828282828283, 21.353535353535353, 22.87878787878788, 24.404040404040405, 25.92929292929293, 27.454545454545457, 28.97979797979798, 30.505050505050505, 32.03030303030303, 33.55555555555556, 35.08080808080808, 36.60606060606061, 38.131313131313135, 39.65656565656566, 41.18181818181818, 42.707070707070706, 44.23232323232323, 45.75757575757576, 47.282828282828284, 48.80808080808081, 50.333333333333336, 51.85858585858586, 53.38383838383839, 54.909090909090914, 56.43434343434344, 57.95959595959596, 59.484848484848484, 61.01010101010101, 62.535353535353536, 64.06060606060606, 65.58585858585859, 67.11111111111111, 68.63636363636364, 70.16161616161617, 71.68686868686869, 73.21212121212122, 74.73737373737374, 76.26262626262627, 77.7878787878788, 79.31313131313132, 80.83838383838385, 82.36363636363636, 83.88888888888889, 85.41414141414141, 86.93939393939394, 88.46464646464646, 89.98989898989899, 91.51515151515152, 93.04040404040404, 94.56565656565657, 96.0909090909091, 97.61616161616162, 99.14141414141415, 100.66666666666667, 102.1919191919192, 103.71717171717172, 105.24242424242425, 106.76767676767678, 108.2929292929293, 109.81818181818183, 111.34343434343435, 112.86868686868688, 114.39393939393939, 115.91919191919192, 117.44444444444444, 118.96969696969697, 120.4949494949495, 122.02020202020202, 123.54545454545455, 125.07070707070707, 126.5959595959596, 128.12121212121212, 129.64646464646466, 131.17171717171718, 132.6969696969697, 134.22222222222223, 135.74747474747474, 137.27272727272728, 138.7979797979798, 140.32323232323233, 141.84848484848484, 143.37373737373738, 144.8989898989899, 146.42424242424244, 147.94949494949495, 149.4747474747475, 151.0]
#> 8 [39.0, 41.72727272727273, 44.45454545454545, 47.18181818181818, 49.90909090909091, 52.63636363636363, 55.36363636363636, 58.09090909090909, 60.81818181818181, 63.54545454545455, 66.27272727272727, 69.0, 71.72727272727272, 74.45454545454545, 77.18181818181819, 79.9090909090909, 82.63636363636363, 85.36363636363636, 88.0909090909091, 90.81818181818181, 93.54545454545453, 96.27272727272727, 99.0, 101.72727272727272, 104.45454545454545, 107.18181818181817, 109.9090909090909, 112.63636363636363, 115.36363636363636, 118.09090909090908, 120.81818181818181, 123.54545454545453, 126.27272727272727, 129.0, 131.72727272727272, 134.45454545454544, 137.1818181818182, 139.9090909090909, 142.63636363636363, 145.36363636363637, 148.09090909090907, 150.8181818181818, 153.54545454545453, 156.27272727272725, 159.0, 161.72727272727272, 164.45454545454544, 167.18181818181816, 169.9090909090909, 172.63636363636363, 175.36363636363635, 178.0909090909091, 180.8181818181818, 183.54545454545453, 186.27272727272725, 189.0, 191.72727272727272, 194.45454545454544, 197.18181818181816, 199.9090909090909, 202.63636363636363, 205.36363636363635, 208.09090909090907, 210.8181818181818, 213.54545454545453, 216.27272727272725, 219.0, 221.72727272727272, 224.45454545454544, 227.18181818181816, 229.9090909090909, 232.63636363636363, 235.36363636363635, 238.09090909090907, 240.8181818181818, 243.54545454545453, 246.27272727272725, 248.99999999999997, 251.72727272727272, 254.45454545454544, 257.18181818181813, 259.9090909090909, 262.6363636363636, 265.3636363636364, 268.09090909090907, 270.8181818181818, 273.5454545454545, 276.27272727272725, 279.0, 281.72727272727275, 284.45454545454544, 287.18181818181813, 289.9090909090909, 292.6363636363636, 295.3636363636363, 298.09090909090907, 300.8181818181818, 303.5454545454545, 306.27272727272725, 309.0]
#> 9 [0.0, 0.36363636363636365, 0.7272727272727273, 1.0909090909090908, 1.4545454545454546, 1.8181818181818183, 2.1818181818181817, 2.5454545454545454, 2.909090909090909, 3.272727272727273, 3.6363636363636367, 4.0, 4.363636363636363, 4.7272727272727275, 5.090909090909091, 5.454545454545455, 5.818181818181818, 6.181818181818182, 6.545454545454546, 6.909090909090909, 7.272727272727273, 7.636363636363637, 8.0, 8.363636363636363, 8.727272727272727, 9.090909090909092, 9.454545454545455, 9.818181818181818, 10.181818181818182, 10.545454545454545, 10.90909090909091, 11.272727272727273, 11.636363636363637, 12.0, 12.363636363636363, 12.727272727272728, 13.090909090909092, 13.454545454545455, 13.818181818181818, 14.181818181818182, 14.545454545454547, 14.90909090909091, 15.272727272727273, 15.636363636363637, 16.0, 16.363636363636363, 16.727272727272727, 17.09090909090909, 17.454545454545453, 17.81818181818182, 18.181818181818183, 18.545454545454547, 18.90909090909091, 19.272727272727273, 19.636363636363637, 20.0, 20.363636363636363, 20.727272727272727, 21.09090909090909, 21.454545454545457, 21.81818181818182, 22.181818181818183, 22.545454545454547, 22.90909090909091, 23.272727272727273, 23.636363636363637, 24.0, 24.363636363636363, 24.727272727272727, 25.09090909090909, 25.454545454545457, 25.81818181818182, 26.181818181818183, 26.545454545454547, 26.90909090909091, 27.272727272727273, 27.636363636363637, 28.0, 28.363636363636363, 28.727272727272727, 29.090909090909093, 29.454545454545457, 29.81818181818182, 30.181818181818183, 30.545454545454547, 30.90909090909091, 31.272727272727273, 31.636363636363637, 32.0, 32.36363636363637, 32.72727272727273, 33.09090909090909, 33.45454545454545, 33.81818181818182, 34.18181818181818, 34.54545454545455, 34.90909090909091, 35.27272727272727, 35.63636363636364, 36.0]
#> 10 [0.0, 0.3333333333333333, 0.6666666666666666, 1.0, 1.3333333333333333, 1.6666666666666665, 2.0, 2.333333333333333, 2.6666666666666665, 3.0, 3.333333333333333, 3.6666666666666665, 4.0, 4.333333333333333, 4.666666666666666, 5.0, 5.333333333333333, 5.666666666666666, 6.0, 6.333333333333333, 6.666666666666666, 7.0, 7.333333333333333, 7.666666666666666, 8.0, 8.333333333333332, 8.666666666666666, 9.0, 9.333333333333332, 9.666666666666666, 10.0, 10.333333333333332, 10.666666666666666, 11.0, 11.333333333333332, 11.666666666666666, 12.0, 12.333333333333332, 12.666666666666666, 13.0, 13.333333333333332, 13.666666666666666, 14.0, 14.333333333333332, 14.666666666666666, 15.0, 15.333333333333332, 15.666666666666666, 16.0, 16.333333333333332, 16.666666666666664, 17.0, 17.333333333333332, 17.666666666666664, 18.0, 18.333333333333332, 18.666666666666664, 19.0, 19.333333333333332, 19.666666666666664, 20.0, 20.333333333333332, 20.666666666666664, 21.0, 21.333333333333332, 21.666666666666664, 22.0, 22.333333333333332, 22.666666666666664, 23.0, 23.333333333333332, 23.666666666666664, 24.0, 24.333333333333332, 24.666666666666664, 25.0, 25.333333333333332, 25.666666666666664, 26.0, 26.333333333333332, 26.666666666666664, 27.0, 27.333333333333332, 27.666666666666664, 28.0, 28.333333333333332, 28.666666666666664, 29.0, 29.333333333333332, 29.666666666666664, 30.0, 30.333333333333332, 30.666666666666664, 31.0, 31.333333333333332, 31.666666666666664, 32.0, 32.33333333333333, 32.666666666666664, 33.0]
#> time_kde_y
#> 1 [0.0033527565186855495, 0.0046436153530472766, 0.006318206673409978, 0.008439252833052394, 0.01104791427258442, 0.014145600617329057, 0.01767684076296404, 0.021518328142002614, 0.025479067290836432, 0.029314503135691727, 0.0327538744453553, 0.03553597353936435, 0.03744569514405714, 0.03834347507573331, 0.038181970784750024, 0.03700788683661015, 0.034950107656983836, 0.0321973957903463, 0.028970020768758792, 0.025490355216535955, 0.021957732842083886, 0.01853204799742138, 0.015328168243753357, 0.01241978170657254, 0.009848422283611562, 0.007632680722875755, 0.00577431440523572, 0.00426087344860483, 0.0030667212285270897, 0.0021547944105435746, 0.0014802987747787352, 0.0009958875741630038, 0.0006568457438972833, 0.0004248460007677216, 0.00026963727185502003, 0.00016892277075447192, 0.00010718649592436664, 7.421661034157423e-05, 6.374572755708654e-05, 7.226869193412575e-05, 9.790750267638262e-05, 0.0001392185123673798, 0.000194006118068072, 0.0002583922097917421, 0.0003264706696312196, 0.0003907834685989524, 0.000443602631401776, 0.0004786837874414017, 0.0004929099496612076, 0.0004871928520124234, 0.0004661993237039055, 0.00043687785766261065, 0.0004062349201902565, 0.00037915454459066654, 0.00035709303338727803, 0.0003381545246190337, 0.0003184810211581811, 0.00029433558360268675, 0.0002639953388576034, 0.0002287264678514939, 0.00019257974494162563, 0.00016125318107159238, 0.00014056081989119576, 0.00013503387940649284, 0.00014696484733096543, 0.00017597271694866603, 0.00021904221464129597, 0.00027096750442296086, 0.0003251292167517968, 0.00037449437766755365, 0.00041267192663219023, 0.00043484390518311745, 0.0004384488293208706, 0.000423572945511029, 0.00039303741460750685, 0.0003521396118648136, 0.000307976684247803, 0.0002683304824578026, 0.00024024335068813224, 0.0002285923194095612, 0.00023506189131694685, 0.0002578458829802728, 0.0002921842166829792, 0.0003315515673026236, 0.00036909448295726884, 0.0003988744913287916, 0.0004166408273582428, 0.0004201302028125323, 0.00040909790984907345, 0.00038528921214292105, 0.0003523741693215109, 0.00031565445182528716, 0.00028130036149356995, 0.0002550657547779143, 0.00024075680528746115, 0.00023899084894981693, 0.0002467983182314929, 0.0002583527424829857, 0.00026667140722164747, 0.0002657160990393458]
#> 2 [0.00811882830572124, 0.010323472370181837, 0.0128410816404724, 0.015627196296924002, 0.018609003831562797, 0.021686645385169307, 0.024738016610366103, 0.027626897568954718, 0.030213616776803502, 0.03236692366420628, 0.03397546042226941, 0.03495727672039461, 0.03526620977481574, 0.03489454877737704, 0.03387204539459664, 0.03226184982260856, 0.030154235425771603, 0.02765901024591955, 0.024897373652434277, 0.021993777724144997, 0.01906819969693594, 0.016229173213383408, 0.013567945145335185, 0.011154158111531618, 0.009033434331034308, 0.007227108780352731, 0.005734129247571504, 0.004534852068450439, 0.0035961849563260566, 0.0028773333903515438, 0.0023353450544483768, 0.0019297348100213872, 0.0016256909917926662, 0.0013956622025286772, 0.001219434453218893, 0.0010830631573102677, 0.0009771715573742754, 0.0008951445637019335, 0.0008316465626916817, 0.0007817136841718053, 0.0007404700821721528, 0.0007033464590192607, 0.0006665734004782886, 0.0006276948030061112, 0.0005858885118003347, 0.0005419684664023126, 0.0004980463485272651, 0.00045692500224436735, 0.00042136218641744235, 0.000393371615710478, 0.0003737169142824838, 0.0003617081902197957, 0.00035534148896332985, 0.00035174394019341293, 0.00034781956069101773, 0.00034094833715991277, 0.0003295843701626981, 0.000313628255659822, 0.00029450534917847, 0.0002749487914970116, 0.000258546187604929, 0.00024914797618138173, 0.00025024848080274013, 0.0002644406572485128, 0.00029302120239666505, 0.00033579295442112456, 0.00039108201343210553, 0.00045595916318728446, 0.0005266283254847908, 0.0005989195693506798, 0.0006688047066603958, 0.0007328465354587383, 0.0007885044272598479, 0.0008342503045667823, 0.0008694937625271854, 0.0008943604183306097, 0.0009093990231168408, 0.0009153003040444969, 0.0009126927718615032, 0.0009020463676387502, 0.0008836782380249568, 0.0008578298144787214, 0.0008247775705467155, 0.0007849487233646585, 0.0007390278738692952, 0.0006880498968776601, 0.0006334720097156067, 0.0005772060173243526, 0.0005215796314474043, 0.00046919489638253827, 0.0004226691344144106, 0.000384277735741094, 0.0003555579947491454, 0.0003369636683327109, 0.0003276671116017343, 0.000325583095553146, 0.000327639360019477, 0.0003302567425363384, 0.0003299448565971061, 0.0003238855646736715]
#> 3 [0.0026300109337619153, 0.003247309520743016, 0.004015716652271703, 0.004974709162352495, 0.0061469835792674985, 0.00753116760564568, 0.009105625634995318, 0.010843307073340537, 0.012731392738068892, 0.014785699135378699, 0.01705096411816582, 0.01958432589572465, 0.02242766272599795, 0.025580500629848006, 0.02898535684724975, 0.03253134345647718, 0.03607297898568305, 0.039454527471372486, 0.04252938291354708, 0.04516892469949008, 0.0472624270226712, 0.04871467540555673, 0.049448355228746806, 0.04941433539238368, 0.048607161329612465, 0.04707849401310575, 0.044940171563466455, 0.042351672104341515, 0.039492834416863624, 0.036529181576688205, 0.033581176726706824, 0.030708225441043877, 0.027913112299576298, 0.025164765907526233, 0.02243005470233466, 0.01970190995145544, 0.01701304586047246, 0.014431029208464603, 0.01203842677212732, 0.009907540685624452, 0.008080351177400705, 0.006560677911829079, 0.005319498029273096, 0.004308986150195176, 0.003478480367714318, 0.0027866063161570134, 0.0022068343648365425, 0.0017268310541674536, 0.0013437609447668414, 0.0010580188659252213, 0.0008673528151416024, 0.0007626858077921124, 0.0007264588608656391, 0.0007338724929556268, 0.0007567766345870167, 0.0007691516467574879, 0.0007524518279611263, 0.0006989770076282282, 0.0006121081602823681, 0.0005034626272315376, 0.00038821108286017316, 0.0002803634662566427, 0.00018954911934846152, 0.00011994026024671337, 7.102290023268078e-05, 3.9354579328356896e-05, 2.0405253184047026e-05, 9.89991803157598e-06, 4.494284488767302e-06, 1.909092872147715e-06, 7.588049556716899e-07, 2.822080483619622e-07, 9.82074884197269e-08, 3.197842938688815e-08, 9.743907758888645e-09, 2.781260289782113e-09, 7.579820262450146e-10, 2.608329996417923e-10, 3.5995255345666595e-10, 1.2466546671563586e-09, 4.5236157019349405e-09, 1.5463279410038817e-08, 4.9478705362154526e-08, 1.4814258694628277e-07, 4.150282564255573e-07, 1.0879553294882762e-06, 2.668579167274339e-06, 6.124698947704325e-06, 1.315300632507324e-05, 2.6430229801557425e-05, 4.969497506313021e-05, 8.7429831709229e-05, 0.00014392705380426106, 0.00022169753078146539, 0.0003195324021234329, 0.00043092786737938794, 0.0005437883304350244, 0.0006420824721316552, 0.0007093937748884086, 0.0007333639530229585]
#> 4 [7.418787417081405e-05, 7.061902551054395e-05, 6.090993011923666e-05, 4.760275294787866e-05, 3.3709601995407915e-05, 2.1629813142563488e-05, 1.257562266165523e-05, 6.624968458568708e-06, 3.1623921224619315e-06, 1.3678082262980184e-06, 5.36058627973796e-07, 1.903605526077382e-07, 6.125185008055847e-08, 1.7858256798319072e-08, 4.717771541796936e-09, 1.1293442118481366e-09, 2.4523368112824405e-10, 5.013253086647337e-11, 2.0955137258982843e-11, 7.114488175452849e-11, 3.567546995725216e-10, 1.653400452091124e-09, 6.956568543260226e-09, 2.656017967058463e-08, 9.202719333351617e-08, 2.8939313751517303e-07, 8.260133023771088e-07, 2.140212412743172e-06, 5.034444960131148e-06, 1.0753403333868286e-05, 2.0862175709243143e-05, 3.677972201147471e-05, 5.8981124467252765e-05, 8.620412968566323e-05, 0.00011529734363786266, 0.00014230301963238449, 0.00016477712139810488, 0.00018443675171838758, 0.00020861485675866817, 0.0002492763209877868, 0.0003195393392642306, 0.0004291384058470141, 0.0005811865810149178, 0.0007722990836458921, 0.0009965135456673734, 0.0012510662110615548, 0.0015402700712750096, 0.0018740783868115582, 0.002261066681258419, 0.0027000123037135924, 0.0031765596611070144, 0.003668821194312951, 0.004159122386963716, 0.004643517876837212, 0.005131470619400822, 0.005635499410311005, 0.006158793827561642, 0.006690610014521582, 0.007212950407255426, 0.007713069278298135, 0.008192274705936106, 0.008664983400168953, 0.009149069997021418, 0.00965333092323864, 0.010168054844069976, 0.010662266139309174, 0.011088781622816438, 0.011396107313859134, 0.011543639440075805, 0.011514480760418668, 0.011320649363786527, 0.010998973638945073, 0.010599911319816881, 0.010173191917835613, 0.009753970508540852, 0.009353276954270337, 0.008956907476810697, 0.008534868287939161, 0.008058061817530878, 0.0075137312180612046, 0.006911328429225512, 0.006276714271323695, 0.00564005026415244, 0.005025543603959168, 0.0044479227223798695, 0.003914766472439211, 0.0034303197031578755, 0.002997079902033828, 0.002614620913085355, 0.002277880675455972, 0.001977555111677262, 0.0017033702713503385, 0.0014484802248347505, 0.0012120513069018414, 0.0009982020115266814, 0.0008120397999533284, 0.0006555508599646828, 0.0005260017471310104, 0.00041750953071214544, 0.0003242280678834325]
#> 5 [0.00032793852752742957, 0.0003378422373847327, 0.00033703019692098445, 0.00032564087941012245, 0.0003048489176198312, 0.00027671261797640294, 0.00024390637853183536, 0.00020939531672575695, 0.00017611533751334772, 0.00014671132539221285, 0.00012336361673697904, 0.00010770620391270287, 0.00010081760288646062, 0.00010325318025523176, 0.00011508823155834363, 0.00013595217290927932, 0.00016505053820430434, 0.00020118648232633277, 0.00024280156116936928, 0.0002880538234006536, 0.0003349403981097426, 0.0003814556919473767, 0.00042576075025395197, 0.00046632994436168426, 0.0005020416686427854, 0.000532190821818974, 0.0005564198663617595, 0.000574587037212488, 0.0005866085665002836, 0.000592321023029714, 0.00059140668527165, 0.0005834092243886419, 0.0005678424034430927, 0.0005443674487296982, 0.0005129929638298292, 0.0004742415151520458, 0.00042923286713922293, 0.00037965416658855, 0.0003276164568364758, 0.0002754261834576387, 0.00022532128895746037, 0.00017922845249710483, 0.00013859006524203187, 0.0001042903493099848, 7.668626293883081e-05, 5.572745315085563e-05, 4.1135472961466634e-05, 3.260750214453504e-05, 3.001262150294029e-05, 3.3556306450956335e-05, 4.389817441094345e-05, 6.221723294531373e-05, 9.02274757425373e-05, 0.00013015504295265761, 0.00018469636979150575, 0.0002569835032686414, 0.00035058511715208013, 0.00046956588589671083, 0.0006186099359947364, 0.0008031863985887593, 0.0010297017398738322, 0.0013055544073420306, 0.0016389948226317277, 0.0020387087441758865, 0.0025130889906017986, 0.003069233785174234, 0.0037117928653468534, 0.004441850420739716, 0.005256061327932143, 0.006146226572956407, 0.007099404102358839, 0.008098522097182193, 0.009123330256067971, 0.010151436353953857, 0.011159167631652051, 0.012122083319547367, 0.013015126169707684, 0.013812585910458804, 0.014488187909376997, 0.015015655272769077, 0.015369993369741878, 0.015529530446003602, 0.015478479330405455, 0.015209550786417433, 0.014726030608183815, 0.014042776556595643, 0.013185791799465602, 0.0121903325487597, 0.011097822656901275, 0.009952089924501101, 0.00879554785371754, 0.007665906118647245, 0.006593830305403067, 0.005601743193424534, 0.004703730751376705, 0.003906338689307998, 0.0032099479528672477, 0.0026104016727601263, 0.0021006036914481673, 0.001671892547414174]
#> 6 [0.002211672313148038, 0.0027798615052066987, 0.003323372416355388, 0.0038662601670660076, 0.004473598869054254, 0.005225571356900443, 0.006186362806643376, 0.007383023277557851, 0.008799526413562856, 0.010382720641883442, 0.012055851784465098, 0.013736787311276057, 0.015355825622164563, 0.01686569390004079, 0.018241058243211494, 0.01947287213415876, 0.020563309134838854, 0.021520118630923003, 0.022347740161183103, 0.023040287727443737, 0.023584960589470832, 0.02397377923619522, 0.02420889180195021, 0.024290864492074994, 0.02419879886262254, 0.023883600330521268, 0.0232857327921902, 0.02236687588919089, 0.02113446207667819, 0.01964703673544456, 0.01800249778019274, 0.016315722803721257, 0.01468981068060976, 0.013187854651265853, 0.011819671216812532, 0.010555953612466652, 0.009363288056581228, 0.008233243033529897, 0.007182187893990763, 0.006226493973886216, 0.00536118455372554, 0.004563877484703278, 0.003818468458812191, 0.0031338438650753454, 0.0025391412293780747, 0.002059768988410652, 0.0016952984602351831, 0.0014170378121202676, 0.0011848792659310719, 0.0009681814868879164, 0.0007562090753991961, 0.0005551996882719818, 0.00037850294240610244, 0.00023730415389252202, 0.00013567774359068288, 7.020916146835724e-05, 3.2662933834106275e-05, 1.3583672109498187e-05, 5.026259960768608e-06, 1.6485779069438006e-06, 4.778886512450475e-07, 1.2214919798626594e-07, 2.7479715822052907e-08, 5.43337377806806e-09, 9.431242561598974e-10, 1.43596472118051e-10, 1.9274270905410584e-11, 3.3886440711579318e-12, 1.0285027761935219e-11, 7.687212387986051e-11, 5.130118773514918e-10, 2.9911584914331975e-09, 1.5233264485368768e-08, 6.776208768725395e-08, 2.632817740405687e-07, 8.93500985962914e-07, 2.648558068026015e-06, 6.857474233892577e-06, 1.550811784217667e-05, 3.063333095313211e-05, 5.285299178725646e-05, 7.964988472974061e-05, 0.00010484336492435857, 0.00012054160875855105, 0.00012105237682704013, 0.00010618191533460965, 8.135298129974283e-05, 5.444787003154956e-05, 3.185571697996135e-05, 1.6388146202587342e-05, 7.757406588166984e-06, 4.4404867076727375e-06, 5.425013673750992e-06, 1.1043830684863593e-05, 2.2716927188670555e-05, 4.1641433346551836e-05, 6.68392178337918e-05, 9.373717573936033e-05, 0.00011482836862456932, 0.00012286517271857346]
#> 7 [0.002904048118435557, 0.003389774194658926, 0.003828116522500814, 0.004366976163012289, 0.0051506842793178536, 0.006262578388170165, 0.007715743522811881, 0.00947273520781275, 0.011475495890183565, 0.013675817850774551, 0.0160547279759918, 0.01862196206457448, 0.021392699293289862, 0.024338368264754818, 0.027320673754371052, 0.0300517184116808, 0.03213898235418191, 0.03323403381053203, 0.033222663198150176, 0.032328613526536404, 0.03102333364732696, 0.029765509024735, 0.028743283482581164, 0.027805067473858337, 0.02661485915161814, 0.02490231117448426, 0.02263598893368919, 0.020026853340894022, 0.017385368275647812, 0.014942592495146482, 0.01275919977235793, 0.01077138876391796, 0.008910750789814898, 0.0071850826080021, 0.005664134816943014, 0.004411166585908029, 0.003435975663947041, 0.002700141575071737, 0.0021491680816996847, 0.001735662280395778, 0.00142287789783388, 0.0011797568622225409, 0.0009797604325367255, 0.0008053555987210926, 0.0006514722923584768, 0.0005215944882729997, 0.00041868417334953623, 0.00034015422980807856, 0.0002815573988688083, 0.00024214970899864928, 0.0002228941165399621, 0.00021847809439116836, 0.00021459738441945945, 0.00019621150367431125, 0.00015880186341909214, 0.00011085806922207104, 6.597424400395394e-05, 3.330439065516811e-05, 1.4231079643969105e-05, 5.1428673614261025e-06, 1.5712572772499897e-06, 4.057877904972061e-07, 8.857956202464948e-08, 1.6343304216003318e-08, 2.5486687396776484e-09, 3.359326457658884e-10, 3.742445915785389e-11, 3.5238956039008665e-12, 2.804494410640698e-13, 1.8864709065146916e-14, 1.0725303977929266e-15, 5.153865295145512e-17, 2.0932469560784076e-18, 7.185745365169057e-20, 2.0849119547532893e-21, 5.1303975513701394e-23, 1.0171326325141569e-23, 4.0079664146324224e-22, 1.4899752910852898e-20, 4.681856624657983e-19, 1.2434293381586674e-17, 2.7911813788156317e-16, 5.2956461313861776e-15, 8.492074647900899e-14, 1.1509927767580449e-12, 1.3185461710313835e-11, 1.2766799396098967e-10, 1.0447988251404325e-09, 7.226820460519996e-09, 4.2249911545786466e-08, 2.0877009620535714e-07, 8.719161608893065e-07, 3.077833427241578e-06, 9.182891341558613e-06, 2.315675642783307e-05, 4.9356000324547965e-05, 8.89131789311187e-05, 0.00013538054751852368, 0.0001742249478194062, 0.00018950835804043293]
#> 8 [0.00018126988618241723, 0.00019414814965918717, 0.00020622387158703159, 0.0002190364595834115, 0.00023417445745239123, 0.00025283787574377324, 0.0002754512201454275, 0.0003014212162602544, 0.00032909712008489866, 0.00035594610455588554, 0.0003789142651489024, 0.00039491224931567436, 0.00040134469766031806, 0.0003965940144137083, 0.00038037256657596726, 0.0003538760724159864, 0.00031970555403986557, 0.0002815705047024367, 0.00024382975416106851, 0.00021095458013988084, 0.00018700188972995454, 0.00017516560928063012, 0.00017744397794966054, 0.00019443509740460805, 0.0002252633237765991, 0.00026764418951220615, 0.0003181046425588083, 0.00037237462373249347, 0.0004259473422455824, 0.00047477192581466785, 0.0005160054793802737, 0.0005487260246489344, 0.0005745012874091604, 0.0005977190527431034, 0.0006256042291553048, 0.0006678681912002756, 0.0007359579930457814, 0.0008419071107198734, 0.0009968494406059948, 0.001209349862370254, 0.0014838134065730268, 0.0018193232230819861, 0.002209273411884045, 0.0026420623780933315, 0.0031028860779045357, 0.0035763617784231702, 0.0040494162606973996, 0.004513704769780677, 0.004966880025173627, 0.005412322729168264, 0.005857398927085349, 0.0063107709125657906, 0.0067795835020145806, 0.0072673570890386665, 0.007773133058534122, 0.00829194447635774, 0.008816209094424238, 0.009337344780111381, 0.009846895817067682, 0.010336723322097022, 0.010798240692506999, 0.011221098105150368, 0.011591983425299233, 0.011894221190817109, 0.012108617422506879, 0.01221559862945238, 0.012198261247220479, 0.012045622360470267, 0.01175524785713924, 0.011334567150369113, 0.010800522217646956, 0.010177634024314248, 0.009494961211505334, 0.008782651741043207, 0.008068788145181846, 0.007377025887676595, 0.006725219296092288, 0.006124947210846247, 0.005581691513577121, 0.005095418289130205, 0.004661418781259642, 0.004271392974403635, 0.003914813942999179, 0.00358055809198669, 0.003258654960865863, 0.0029418779184846844, 0.00262684456076685, 0.002314363929931067, 0.0020089394527094033, 0.0017175486874917221, 0.0014479977352268778, 0.0012072342615721706, 0.0009999816881253241, 0.0008279479408488439, 0.0006897063808046547, 0.0005811892835862272, 0.0004966118597431037, 0.000429579139206904, 0.00037412534329137336, 0.0003254878319234713]
#> 9 [0.02112439744666821, 0.02245311664697785, 0.023442673475224565, 0.02412876731295009, 0.02458050959675978, 0.02488802112050554, 0.02514805658762514, 0.02545067546865362, 0.02586932091605985, 0.02645550937006618, 0.02723807363896857, 0.028225911082078736, 0.029412688265144298, 0.030781973374207308, 0.032311672031278015, 0.03397720813267475, 0.0357534007771492, 0.03761529997275868, 0.039538325249484724, 0.04149796700045098, 0.043469176048907904, 0.045425491434651646, 0.047337994269709284, 0.04917430796021051, 0.050898014892242716, 0.05246893093640686, 0.053844603099349804, 0.05498316232475056, 0.05584732640533457, 0.0564090029252408, 0.056653690781817284, 0.05658379427732675, 0.05622007097710123, 0.05560071005818127, 0.054777924564372325, 0.05381236762442073, 0.05276607919682695, 0.051694973984514406, 0.050642039222364384, 0.04963238034197769, 0.04867101035820554, 0.047743838246795366, 0.04682173546774895, 0.04586696130690326, 0.044840748878469304, 0.04371062420658891, 0.042456121836477186, 0.041071953207422594, 0.03956827083661501, 0.03796829066731915, 0.03630402705723993, 0.03461115431420841, 0.03292401108551377, 0.031271559177314515, 0.029674787950243177, 0.02814571289947564, 0.026687820917528974, 0.02529760184976568, 0.023966690349360775, 0.022684127048627885, 0.021438330224875894, 0.020218532088952995, 0.019015639795300802, 0.017822671416381212, 0.016635026925961607, 0.015450839928310532, 0.01427151877510451, 0.013102379701435888, 0.011953089152579189, 0.010837556255846295, 0.00977299754538261, 0.008778118060108359, 0.007870638658622161, 0.007064642127798421, 0.006368318229271252, 0.005782619590231916, 0.005301121057467005, 0.004911081160286667, 0.0045954305892394525, 0.004335236312954028, 0.004112146495155106, 0.00391039983234541, 0.003718139217649982, 0.0035279480358789785, 0.0033366803811114886, 0.003144756149072752, 0.002955131851047997, 0.0027721482651092, 0.0026004158113605595, 0.002443848587096154, 0.0023049149562602783, 0.002184145049948787, 0.002079922493110779, 0.0019885799635492194, 0.0019048031743551963, 0.0018223161795684968, 0.0017347725237955695, 0.001636723296830318, 0.001524494419558966, 0.0013968012530259177]
#> 10 [0.02074293188292171, 0.022423505329500146, 0.023843365598138516, 0.024999320307279124, 0.025913949021540192, 0.0266309100662283, 0.02720820130489437, 0.027710633769810658, 0.02820263532788547, 0.028742180199356076, 0.02937627526499306, 0.030138131219339812, 0.03104595166112022, 0.03210317479200392, 0.033299956882315566, 0.03461564944673622, 0.03602197036990105, 0.03748650907702793, 0.03897616432198625, 0.040460121935293865, 0.04191205786341196, 0.04331139347396054, 0.04464360351727593, 0.04589973360353343, 0.047075376425273346, 0.048169359470058494, 0.04918232329986961, 0.050115265767048015, 0.05096805790315982, 0.05173795266356329, 0.0524182176789402, 0.05299718335754178, 0.053458122759644525, 0.053780378034146384, 0.0539419648885012, 0.0539235349698253, 0.053713143262269475, 0.05331088909210822, 0.0527323120883491, 0.05200951725340634, 0.05118938324587945, 0.050328795480900454, 0.049487498391287105, 0.04871971672907241, 0.04806601729164725, 0.04754689327082578, 0.04715925238079853, 0.04687644670543681, 0.046651817355706705, 0.046425083252294067, 0.04613041440819352, 0.04570479250971775, 0.04509531404344859, 0.044264406113956226, 0.04319241580057496, 0.041877577258838054, 0.040333829927853976, 0.038587259219208685, 0.03667201473242582, 0.034626447409170535, 0.03248996134162003, 0.030300786409016928, 0.02809462689228977, 0.025903982470286847, 0.023757886435215855, 0.021681841236599657, 0.01969781217926918, 0.017824222381205474, 0.016075945648155687, 0.014464310295611831, 0.01299711782038344, 0.011678667495029766, 0.01050978005218273, 0.009487835762138014, 0.008606873519902265, 0.007857817651943386, 0.00722889011993186, 0.006706223445059877, 0.006274627805646961, 0.00591841080058419, 0.005622126681048875, 0.005371156075593518, 0.005152078864380808, 0.004952875227143371, 0.004763040452827408, 0.004573705065356501, 0.004377811292149952, 0.004170329918242819, 0.003948440538222689, 0.0037115725701423233, 0.003461227023337033, 0.003200560923199411, 0.0029337915579958507, 0.0026655356976505247, 0.0024002176577763634, 0.0021416545470550274, 0.0018928694993642528, 0.0016561168284923635, 0.001433049956941032, 0.0012249386722070572]
#> age_mean age_median age_std age_q1 age_q3 n_ages male_proportion
#> 1 66.70909 67 5.691262 62 71 165 0.5939394
#> 2 66.79167 67 5.436464 62 71 168 0.6011905
#> 3 66.68590 67 5.499331 62 71 156 0.5833333
#> 4 78.35256 78 6.034101 73 84 156 0.5192308
#> 5 77.97279 78 6.624928 73 84 147 0.4829932
#> 6 56.94152 56 5.798283 52 62 171 0.5789474
#> 7 57.08537 57 5.972742 52 62 164 0.5853659
#> 8 77.82993 78 6.706544 73 84 147 0.5238095
#> 9 66.99567 66 10.367644 59 74 462 0.5714286
#> 10 67.10330 66 10.414551 59 74 455 0.5626374
#> TARGET_SUBJECT_PREVALENCE CONTROL_SUBJECT_PREVALENCE
#> 1 0.330 0.010
#> 2 0.336 0.010
#> 3 0.312 0.000
#> 4 0.312 0.000
#> 5 0.294 0.000
#> 6 0.342 0.010
#> 7 0.328 0.010
#> 8 0.294 0.010
#> 9 0.924 0.020
#> 10 0.910 0.014
#> PREVALENCE_DIFFERENCE_RATIO
#> 1 33.0
#> 2 33.6
#> 3 100.0
#> 4 100.0
#> 5 100.0
#> 6 34.2
#> 7 32.8
#> 8 29.4
#> 9 46.2
#> 10 65.0
ordinal_summaries.parquet
One row per ordinalized concept event (for repeated occurrences like 1st, 2nd, 3rd).
Column descriptions:
-
CONCEPT_ID: Ordinal concept identifier (derived). -
HERITAGE: Domain/heritage. -
ORDINAL: Ordinal index (1,2, …). -
time_count: Number of timing observations. -
time_min: Minimum time-to-event. -
time_max: Maximum time-to-event. -
time_mean: Mean time-to-event. -
time_median: Median time-to-event. -
time_std: Standard deviation of time-to-event. -
time_q1: 25th percentile of time-to-event. -
time_q3: 75th percentile of time-to-event. -
time_iqr: Interquartile range of time-to-event. -
patient_count: Number of target patients with this ordinal event. -
age_mean: Mean age. -
age_median: Median age. -
age_std: Age standard deviation. -
age_q1: 25th percentile of age. -
age_q3: 75th percentile of age. -
n_ages: Number of non-missing ages used. -
male_proportion: Male proportion. -
ordinal_name_suffix: Human-readable ordinal suffix (1st,2nd, …). -
ORIGINAL_CONCEPT_ID: Base concept id before ordinal expansion. -
CONCEPT_NAME: Ordinalized concept name (for exampleDeath 2nd). -
IS_ORDINAL: Flag for ordinal rows (TRUEhere). -
time_histogram_bins: JSON text for histogram bin edges. -
time_histogram_counts: JSON text for histogram counts. -
time_kde_x: JSON text for KDE x-grid. -
time_kde_y: JSON text for KDE y-values. -
TARGET_SUBJECT_PREVALENCE: Target prevalence. -
CONTROL_SUBJECT_PREVALENCE: Control prevalence. -
PREVALENCE_DIFFERENCE_RATIO: Target/control prevalence ratio.
#> CONCEPT_ID HERITAGE ORDINAL time_count time_min time_max
#> 1 32280_1 death 1 156 11 272
#> 2 32280_2 death 2 155 156 320
#> 3 32280_3 death 3 110 180 299
#> 4 32280_4 death 4 79 186 299
#> 5 4008211_1 procedure_occurrence 1 171 0 82
#> 6 4008211_2 procedure_occurrence 2 169 2 160
#> 7 4008211_3 procedure_occurrence 3 165 17 77
#> 8 4008211_4 procedure_occurrence 4 119 21 76
#> 9 4008226_1 procedure_occurrence 1 164 0 151
#> 10 4008226_2 procedure_occurrence 2 163 7 80
#> time_mean time_median time_std time_q1 time_q3 time_iqr patient_count
#> 1 193.45513 192.5 30.130542 175 212.0 37.0 156
#> 2 224.61290 222.0 28.463553 207 239.5 32.5 155
#> 3 236.76364 234.5 21.694259 224 251.0 27.0 110
#> 4 249.65823 251.0 22.726290 235 264.0 29.0 79
#> 5 20.69006 20.0 12.154054 13 26.0 13.0 171
#> 6 31.81065 31.0 15.516493 25 36.0 11.0 169
#> 7 39.87879 40.0 10.807511 32 46.0 14.0 165
#> 8 45.05042 44.0 10.805561 38 50.5 12.5 119
#> 9 19.18293 18.5 13.776149 13 25.0 12.0 164
#> 10 28.95706 28.0 9.287154 23 34.0 11.0 163
#> age_mean age_median age_std age_q1 age_q3 n_ages male_proportion
#> 1 78.35256 78.0 6.034101 73 84.00 156 0.5192308
#> 2 78.40000 78.0 6.024409 73 84.00 155 0.5161290
#> 3 78.20909 77.5 5.884353 73 83.75 110 0.4727273
#> 4 78.31646 78.0 5.891202 73 83.00 79 0.4683544
#> 5 56.94152 56.0 5.798283 52 62.00 171 0.5789474
#> 6 56.78698 56.0 5.637001 52 62.00 169 0.5798817
#> 7 56.66061 56.0 5.572687 52 62.00 165 0.5757576
#> 8 56.26891 55.0 5.690756 52 62.00 119 0.5882353
#> 9 57.08537 57.0 5.972742 52 62.00 164 0.5853659
#> 10 57.03067 57.0 5.949814 52 62.00 163 0.5889571
#> ordinal_name_suffix ORIGINAL_CONCEPT_ID CONCEPT_NAME IS_ORDINAL
#> 1 1st 32280 Death 1st TRUE
#> 2 2nd 32280 Death 2nd TRUE
#> 3 3rd 32280 Death 3rd TRUE
#> 4 4th 32280 Death 4th TRUE
#> 5 1st 4008211 Radiotherapy 1st TRUE
#> 6 2nd 4008211 Radiotherapy 2nd TRUE
#> 7 3rd 4008211 Radiotherapy 3rd TRUE
#> 8 4th 4008211 Radiotherapy 4th TRUE
#> 9 1st 4008226 Chemotherapy 1st TRUE
#> 10 2nd 4008226 Chemotherapy 2nd TRUE
#> time_histogram_bins
#> 1 [11.0, 16.22, 21.439999999999998, 26.66, 31.88, 37.099999999999994, 42.32, 47.54, 52.76, 57.98, 63.199999999999996, 68.41999999999999, 73.64, 78.86, 84.08, 89.3, 94.52, 99.74, 104.96, 110.17999999999999, 115.39999999999999, 120.61999999999999, 125.83999999999999, 131.06, 136.28, 141.5, 146.72, 151.94, 157.16, 162.38, 167.6, 172.82, 178.04, 183.26, 188.48, 193.7, 198.92, 204.14, 209.35999999999999, 214.57999999999998, 219.79999999999998, 225.01999999999998, 230.23999999999998, 235.45999999999998, 240.67999999999998, 245.89999999999998, 251.11999999999998, 256.34, 261.56, 266.78, 272.0]
#> 2 [156.0, 159.28, 162.56, 165.84, 169.12, 172.4, 175.68, 178.96, 182.24, 185.52, 188.8, 192.07999999999998, 195.36, 198.64, 201.92, 205.2, 208.48, 211.76, 215.04, 218.32, 221.6, 224.88, 228.16, 231.44, 234.72, 238.0, 241.28, 244.56, 247.83999999999997, 251.12, 254.39999999999998, 257.68, 260.96, 264.24, 267.52, 270.8, 274.08, 277.36, 280.64, 283.91999999999996, 287.2, 290.48, 293.76, 297.03999999999996, 300.32, 303.6, 306.88, 310.15999999999997, 313.44, 316.72, 320.0]
#> 3 [180.0, 182.38, 184.76, 187.14, 189.52, 191.9, 194.28, 196.66, 199.04, 201.42, 203.8, 206.18, 208.56, 210.94, 213.32, 215.7, 218.07999999999998, 220.46, 222.84, 225.22, 227.6, 229.98, 232.36, 234.74, 237.12, 239.5, 241.88, 244.26, 246.64, 249.01999999999998, 251.39999999999998, 253.78, 256.15999999999997, 258.53999999999996, 260.92, 263.3, 265.68, 268.06, 270.44, 272.82, 275.2, 277.58, 279.96, 282.34, 284.72, 287.1, 289.48, 291.86, 294.24, 296.62, 299.0]
#> 4 [186.0, 188.26, 190.52, 192.78, 195.04, 197.3, 199.56, 201.82, 204.07999999999998, 206.34, 208.6, 210.86, 213.12, 215.38, 217.64, 219.9, 222.16, 224.42, 226.68, 228.94, 231.2, 233.45999999999998, 235.72, 237.98, 240.24, 242.5, 244.76, 247.01999999999998, 249.28, 251.54, 253.8, 256.06, 258.32, 260.58, 262.84, 265.1, 267.36, 269.62, 271.88, 274.14, 276.4, 278.65999999999997, 280.91999999999996, 283.18, 285.44, 287.7, 289.96, 292.21999999999997, 294.48, 296.74, 299.0]
#> 5 [0.0, 1.64, 3.28, 4.92, 6.56, 8.2, 9.84, 11.479999999999999, 13.12, 14.76, 16.4, 18.04, 19.68, 21.32, 22.959999999999997, 24.599999999999998, 26.24, 27.88, 29.52, 31.159999999999997, 32.8, 34.44, 36.08, 37.72, 39.36, 41.0, 42.64, 44.279999999999994, 45.919999999999995, 47.559999999999995, 49.199999999999996, 50.839999999999996, 52.48, 54.12, 55.76, 57.4, 59.04, 60.68, 62.31999999999999, 63.959999999999994, 65.6, 67.24, 68.88, 70.52, 72.16, 73.8, 75.44, 77.08, 78.72, 80.36, 82.0]
#> 6 [2.0, 5.16, 8.32, 11.48, 14.64, 17.8, 20.96, 24.12, 27.28, 30.44, 33.6, 36.760000000000005, 39.92, 43.08, 46.24, 49.400000000000006, 52.56, 55.72, 58.88, 62.040000000000006, 65.2, 68.36, 71.52000000000001, 74.68, 77.84, 81.0, 84.16, 87.32000000000001, 90.48, 93.64, 96.80000000000001, 99.96000000000001, 103.12, 106.28, 109.44, 112.60000000000001, 115.76, 118.92, 122.08000000000001, 125.24000000000001, 128.4, 131.56, 134.72, 137.88, 141.04000000000002, 144.20000000000002, 147.36, 150.52, 153.68, 156.84, 160.0]
#> 7 [17.0, 18.2, 19.4, 20.6, 21.8, 23.0, 24.2, 25.4, 26.6, 27.799999999999997, 29.0, 30.2, 31.4, 32.6, 33.8, 35.0, 36.2, 37.4, 38.599999999999994, 39.8, 41.0, 42.2, 43.4, 44.599999999999994, 45.8, 47.0, 48.2, 49.4, 50.6, 51.8, 53.0, 54.199999999999996, 55.4, 56.6, 57.8, 59.0, 60.199999999999996, 61.4, 62.6, 63.8, 65.0, 66.19999999999999, 67.4, 68.6, 69.8, 71.0, 72.19999999999999, 73.4, 74.6, 75.8, 77.0]
#> 8 [21.0, 22.1, 23.2, 24.3, 25.4, 26.5, 27.6, 28.700000000000003, 29.8, 30.9, 32.0, 33.1, 34.2, 35.3, 36.400000000000006, 37.5, 38.6, 39.7, 40.8, 41.900000000000006, 43.0, 44.1, 45.2, 46.3, 47.400000000000006, 48.5, 49.6, 50.7, 51.800000000000004, 52.900000000000006, 54.0, 55.1, 56.2, 57.300000000000004, 58.400000000000006, 59.5, 60.6, 61.7, 62.800000000000004, 63.900000000000006, 65.0, 66.1, 67.2, 68.30000000000001, 69.4, 70.5, 71.6, 72.7, 73.80000000000001, 74.9, 76.0]
#> 9 [0.0, 3.02, 6.04, 9.06, 12.08, 15.1, 18.12, 21.14, 24.16, 27.18, 30.2, 33.22, 36.24, 39.26, 42.28, 45.3, 48.32, 51.34, 54.36, 57.38, 60.4, 63.42, 66.44, 69.46, 72.48, 75.5, 78.52, 81.54, 84.56, 87.58, 90.6, 93.62, 96.64, 99.66, 102.68, 105.7, 108.72, 111.74, 114.76, 117.78, 120.8, 123.82000000000001, 126.84, 129.86, 132.88, 135.9, 138.92, 141.94, 144.96, 147.98, 151.0]
#> 10 [7.0, 8.46, 9.92, 11.379999999999999, 12.84, 14.3, 15.76, 17.22, 18.68, 20.14, 21.6, 23.06, 24.52, 25.98, 27.439999999999998, 28.9, 30.36, 31.82, 33.28, 34.739999999999995, 36.2, 37.66, 39.12, 40.58, 42.04, 43.5, 44.96, 46.42, 47.879999999999995, 49.339999999999996, 50.8, 52.26, 53.72, 55.18, 56.64, 58.1, 59.56, 61.019999999999996, 62.48, 63.94, 65.4, 66.86, 68.32, 69.78, 71.24, 72.7, 74.16, 75.62, 77.08, 78.53999999999999, 80.0]
#> time_histogram_counts
#> 1 [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 11, 18, 6, 9, 21, 7, 13, 9, 13, 9, 7, 5, 5, 0, 5, 5, 0, 5, 5, 5]
#> 2 [5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 7, 7, 7, 7, 11, 10, 12, 11, 5, 5, 5, 5, 5, 5, 7, 5, 6, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5]
#> 3 [5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 6, 5, 0, 5, 0, 5, 5, 5, 11, 5, 5, 6, 7, 10, 5, 5, 5, 5, 9, 5, 5, 6, 5, 5, 5, 0, 6, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5]
#> 4 [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5]
#> 5 [6, 6, 5, 7, 5, 5, 8, 10, 5, 13, 14, 7, 14, 8, 12, 13, 5, 7, 10, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5]
#> 6 [5, 0, 5, 5, 5, 13, 18, 15, 27, 20, 25, 14, 17, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5]
#> 7 [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 8, 5, 5, 7, 5, 5, 9, 9, 12, 8, 5, 6, 5, 9, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5]
#> 8 [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 5, 8, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5]
#> 9 [13, 6, 7, 14, 15, 27, 18, 20, 19, 15, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5]
#> 10 [5, 0, 5, 5, 5, 5, 5, 5, 11, 5, 13, 9, 9, 16, 9, 13, 5, 16, 6, 10, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5]
#> time_kde_x
#> 1 [11.0, 13.636363636363637, 16.272727272727273, 18.909090909090907, 21.545454545454547, 24.18181818181818, 26.818181818181817, 29.454545454545453, 32.09090909090909, 34.72727272727273, 37.36363636363636, 40.0, 42.63636363636363, 45.27272727272727, 47.90909090909091, 50.54545454545455, 53.18181818181818, 55.81818181818181, 58.45454545454545, 61.090909090909086, 63.72727272727273, 66.36363636363636, 69.0, 71.63636363636363, 74.27272727272727, 76.9090909090909, 79.54545454545455, 82.18181818181817, 84.81818181818181, 87.45454545454545, 90.0909090909091, 92.72727272727272, 95.36363636363636, 98.0, 100.63636363636363, 103.27272727272727, 105.9090909090909, 108.54545454545455, 111.18181818181817, 113.81818181818181, 116.45454545454545, 119.09090909090908, 121.72727272727272, 124.36363636363636, 127.0, 129.63636363636363, 132.27272727272725, 134.9090909090909, 137.54545454545453, 140.1818181818182, 142.8181818181818, 145.45454545454544, 148.0909090909091, 150.72727272727272, 153.36363636363635, 156.0, 158.63636363636363, 161.27272727272725, 163.9090909090909, 166.54545454545453, 169.1818181818182, 171.8181818181818, 174.45454545454544, 177.0909090909091, 179.72727272727272, 182.36363636363635, 185.0, 187.63636363636363, 190.27272727272725, 192.9090909090909, 195.54545454545453, 198.1818181818182, 200.8181818181818, 203.45454545454544, 206.0909090909091, 208.72727272727272, 211.36363636363635, 214.0, 216.63636363636363, 219.27272727272725, 221.9090909090909, 224.54545454545453, 227.18181818181816, 229.8181818181818, 232.45454545454544, 235.0909090909091, 237.72727272727272, 240.36363636363635, 243.0, 245.63636363636363, 248.27272727272725, 250.9090909090909, 253.54545454545453, 256.18181818181813, 258.8181818181818, 261.45454545454544, 264.09090909090907, 266.72727272727275, 269.3636363636364, 272.0]
#> 2 [156.0, 157.65656565656565, 159.31313131313132, 160.96969696969697, 162.62626262626262, 164.2828282828283, 165.93939393939394, 167.59595959595958, 169.25252525252526, 170.9090909090909, 172.56565656565658, 174.22222222222223, 175.87878787878788, 177.53535353535352, 179.1919191919192, 180.84848484848484, 182.50505050505052, 184.16161616161617, 185.8181818181818, 187.47474747474746, 189.13131313131314, 190.78787878787878, 192.44444444444446, 194.1010101010101, 195.75757575757575, 197.4141414141414, 199.07070707070707, 200.72727272727272, 202.3838383838384, 204.04040404040404, 205.6969696969697, 207.35353535353536, 209.010101010101, 210.66666666666666, 212.32323232323233, 213.97979797979798, 215.63636363636363, 217.2929292929293, 218.94949494949495, 220.60606060606062, 222.26262626262627, 223.91919191919192, 225.57575757575756, 227.23232323232324, 228.88888888888889, 230.54545454545456, 232.2020202020202, 233.85858585858585, 235.5151515151515, 237.17171717171718, 238.82828282828282, 240.4848484848485, 242.14141414141415, 243.7979797979798, 245.45454545454544, 247.11111111111111, 248.76767676767676, 250.42424242424244, 252.08080808080808, 253.73737373737373, 255.39393939393938, 257.0505050505051, 258.7070707070707, 260.3636363636364, 262.020202020202, 263.67676767676767, 265.3333333333333, 266.98989898989896, 268.64646464646466, 270.3030303030303, 271.95959595959596, 273.6161616161616, 275.27272727272725, 276.92929292929296, 278.5858585858586, 280.24242424242425, 281.8989898989899, 283.55555555555554, 285.21212121212125, 286.86868686868684, 288.52525252525254, 290.1818181818182, 291.83838383838383, 293.49494949494954, 295.1515151515151, 296.80808080808083, 298.4646464646465, 300.1212121212121, 301.77777777777777, 303.4343434343434, 305.0909090909091, 306.7474747474747, 308.4040404040404, 310.06060606060606, 311.7171717171717, 313.3737373737374, 315.030303030303, 316.6868686868687, 318.34343434343435, 320.0]
#> 3 [180.0, 181.2020202020202, 182.40404040404042, 183.6060606060606, 184.8080808080808, 186.010101010101, 187.21212121212122, 188.41414141414143, 189.6161616161616, 190.8181818181818, 192.02020202020202, 193.22222222222223, 194.42424242424244, 195.62626262626262, 196.82828282828282, 198.03030303030303, 199.23232323232324, 200.43434343434342, 201.63636363636363, 202.83838383838383, 204.04040404040404, 205.24242424242425, 206.44444444444446, 207.64646464646464, 208.84848484848484, 210.05050505050505, 211.25252525252526, 212.45454545454544, 213.65656565656565, 214.85858585858585, 216.06060606060606, 217.26262626262627, 218.46464646464648, 219.66666666666666, 220.86868686868686, 222.07070707070707, 223.27272727272728, 224.47474747474746, 225.67676767676767, 226.87878787878788, 228.08080808080808, 229.2828282828283, 230.4848484848485, 231.68686868686868, 232.88888888888889, 234.0909090909091, 235.2929292929293, 236.49494949494948, 237.6969696969697, 238.8989898989899, 240.1010101010101, 241.3030303030303, 242.50505050505052, 243.7070707070707, 244.9090909090909, 246.11111111111111, 247.3131313131313, 248.5151515151515, 249.7171717171717, 250.91919191919192, 252.12121212121212, 253.32323232323233, 254.52525252525254, 255.72727272727272, 256.92929292929296, 258.13131313131316, 259.3333333333333, 260.5353535353535, 261.73737373737373, 262.93939393939394, 264.14141414141415, 265.34343434343435, 266.54545454545456, 267.7474747474747, 268.9494949494949, 270.1515151515151, 271.35353535353534, 272.55555555555554, 273.75757575757575, 274.95959595959596, 276.16161616161617, 277.3636363636364, 278.5656565656566, 279.7676767676768, 280.969696969697, 282.17171717171715, 283.37373737373736, 284.57575757575756, 285.77777777777777, 286.979797979798, 288.1818181818182, 289.3838383838384, 290.5858585858586, 291.78787878787875, 292.98989898989896, 294.19191919191917, 295.3939393939394, 296.5959595959596, 297.7979797979798, 299.0]
#> 4 [186.0, 187.14141414141415, 188.2828282828283, 189.42424242424244, 190.56565656565655, 191.7070707070707, 192.84848484848484, 193.989898989899, 195.13131313131314, 196.27272727272728, 197.41414141414143, 198.55555555555554, 199.6969696969697, 200.83838383838383, 201.97979797979798, 203.12121212121212, 204.26262626262627, 205.40404040404042, 206.54545454545456, 207.68686868686868, 208.82828282828282, 209.96969696969697, 211.11111111111111, 212.25252525252526, 213.3939393939394, 214.53535353535352, 215.67676767676767, 216.8181818181818, 217.95959595959596, 219.1010101010101, 220.24242424242425, 221.3838383838384, 222.52525252525254, 223.66666666666666, 224.8080808080808, 225.94949494949495, 227.0909090909091, 228.23232323232324, 229.37373737373738, 230.5151515151515, 231.65656565656565, 232.7979797979798, 233.93939393939394, 235.08080808080808, 236.22222222222223, 237.36363636363637, 238.50505050505052, 239.64646464646466, 240.78787878787878, 241.92929292929293, 243.07070707070707, 244.21212121212122, 245.35353535353536, 246.49494949494948, 247.63636363636363, 248.77777777777777, 249.91919191919192, 251.06060606060606, 252.2020202020202, 253.34343434343435, 254.4848484848485, 255.62626262626264, 256.7676767676768, 257.9090909090909, 259.0505050505051, 260.19191919191917, 261.3333333333333, 262.47474747474746, 263.6161616161616, 264.75757575757575, 265.8989898989899, 267.04040404040404, 268.1818181818182, 269.32323232323233, 270.4646464646465, 271.6060606060606, 272.74747474747477, 273.8888888888889, 275.030303030303, 276.1717171717172, 277.3131313131313, 278.45454545454544, 279.5959595959596, 280.73737373737373, 281.8787878787879, 283.020202020202, 284.16161616161617, 285.3030303030303, 286.44444444444446, 287.5858585858586, 288.72727272727275, 289.86868686868684, 291.01010101010104, 292.1515151515151, 293.29292929292933, 294.4343434343434, 295.57575757575756, 296.7171717171717, 297.85858585858585, 299.0]
#> 5 [0.0, 0.8282828282828283, 1.6565656565656566, 2.484848484848485, 3.313131313131313, 4.141414141414142, 4.96969696969697, 5.797979797979798, 6.626262626262626, 7.454545454545455, 8.282828282828284, 9.11111111111111, 9.93939393939394, 10.767676767676768, 11.595959595959595, 12.424242424242424, 13.252525252525253, 14.080808080808081, 14.90909090909091, 15.737373737373737, 16.565656565656568, 17.393939393939394, 18.22222222222222, 19.050505050505052, 19.87878787878788, 20.707070707070706, 21.535353535353536, 22.363636363636363, 23.19191919191919, 24.02020202020202, 24.848484848484848, 25.67676767676768, 26.505050505050505, 27.333333333333332, 28.161616161616163, 28.98989898989899, 29.81818181818182, 30.646464646464647, 31.474747474747474, 32.303030303030305, 33.131313131313135, 33.95959595959596, 34.78787878787879, 35.61616161616162, 36.44444444444444, 37.27272727272727, 38.101010101010104, 38.92929292929293, 39.75757575757576, 40.58585858585859, 41.41414141414141, 42.24242424242424, 43.07070707070707, 43.898989898989896, 44.72727272727273, 45.55555555555556, 46.38383838383838, 47.21212121212121, 48.04040404040404, 48.86868686868687, 49.696969696969695, 50.525252525252526, 51.35353535353536, 52.18181818181818, 53.01010101010101, 53.83838383838384, 54.666666666666664, 55.494949494949495, 56.323232323232325, 57.15151515151515, 57.97979797979798, 58.80808080808081, 59.63636363636364, 60.464646464646464, 61.292929292929294, 62.121212121212125, 62.94949494949495, 63.77777777777778, 64.60606060606061, 65.43434343434343, 66.26262626262627, 67.0909090909091, 67.91919191919192, 68.74747474747475, 69.57575757575758, 70.4040404040404, 71.23232323232324, 72.06060606060606, 72.88888888888889, 73.71717171717172, 74.54545454545455, 75.37373737373737, 76.20202020202021, 77.03030303030303, 77.85858585858585, 78.68686868686869, 79.51515151515152, 80.34343434343434, 81.17171717171718, 82.0]
#> 6 [2.0, 3.595959595959596, 5.191919191919192, 6.787878787878788, 8.383838383838384, 9.97979797979798, 11.575757575757576, 13.171717171717173, 14.767676767676768, 16.363636363636363, 17.95959595959596, 19.555555555555557, 21.151515151515152, 22.747474747474747, 24.343434343434346, 25.93939393939394, 27.535353535353536, 29.13131313131313, 30.727272727272727, 32.323232323232325, 33.91919191919192, 35.515151515151516, 37.111111111111114, 38.707070707070706, 40.303030303030305, 41.8989898989899, 43.494949494949495, 45.09090909090909, 46.68686868686869, 48.282828282828284, 49.87878787878788, 51.474747474747474, 53.07070707070707, 54.66666666666667, 56.26262626262626, 57.85858585858586, 59.45454545454545, 61.05050505050505, 62.64646464646465, 64.24242424242425, 65.83838383838383, 67.43434343434343, 69.03030303030303, 70.62626262626263, 72.22222222222223, 73.81818181818183, 75.41414141414141, 77.01010101010101, 78.60606060606061, 80.20202020202021, 81.7979797979798, 83.39393939393939, 84.98989898989899, 86.58585858585859, 88.18181818181819, 89.77777777777779, 91.37373737373738, 92.96969696969697, 94.56565656565657, 96.16161616161617, 97.75757575757576, 99.35353535353536, 100.94949494949495, 102.54545454545455, 104.14141414141415, 105.73737373737374, 107.33333333333334, 108.92929292929293, 110.52525252525253, 112.12121212121212, 113.71717171717172, 115.31313131313132, 116.9090909090909, 118.5050505050505, 120.1010101010101, 121.6969696969697, 123.2929292929293, 124.8888888888889, 126.48484848484848, 128.08080808080808, 129.67676767676767, 131.27272727272728, 132.86868686868686, 134.46464646464648, 136.06060606060606, 137.65656565656568, 139.25252525252526, 140.84848484848484, 142.44444444444446, 144.04040404040404, 145.63636363636365, 147.23232323232324, 148.82828282828282, 150.42424242424244, 152.02020202020202, 153.61616161616163, 155.21212121212122, 156.8080808080808, 158.40404040404042, 160.0]
#> 7 [17.0, 17.606060606060606, 18.21212121212121, 18.81818181818182, 19.424242424242426, 20.03030303030303, 20.636363636363637, 21.242424242424242, 21.848484848484848, 22.454545454545453, 23.060606060606062, 23.666666666666668, 24.272727272727273, 24.87878787878788, 25.484848484848484, 26.090909090909093, 26.696969696969695, 27.303030303030305, 27.90909090909091, 28.515151515151516, 29.12121212121212, 29.727272727272727, 30.333333333333336, 30.939393939393938, 31.545454545454547, 32.151515151515156, 32.75757575757576, 33.36363636363636, 33.96969696969697, 34.57575757575758, 35.18181818181819, 35.78787878787879, 36.39393939393939, 37.0, 37.60606060606061, 38.21212121212121, 38.81818181818182, 39.42424242424242, 40.03030303030303, 40.63636363636364, 41.24242424242424, 41.848484848484844, 42.45454545454545, 43.06060606060606, 43.66666666666667, 44.27272727272727, 44.878787878787875, 45.484848484848484, 46.09090909090909, 46.6969696969697, 47.303030303030305, 47.90909090909091, 48.515151515151516, 49.121212121212125, 49.72727272727273, 50.333333333333336, 50.93939393939394, 51.54545454545455, 52.151515151515156, 52.75757575757576, 53.36363636363637, 53.96969696969697, 54.57575757575758, 55.18181818181818, 55.78787878787879, 56.3939393939394, 57.0, 57.60606060606061, 58.21212121212121, 58.81818181818182, 59.42424242424242, 60.03030303030303, 60.63636363636364, 61.24242424242424, 61.84848484848485, 62.45454545454545, 63.06060606060606, 63.66666666666667, 64.27272727272728, 64.87878787878788, 65.48484848484848, 66.0909090909091, 66.69696969696969, 67.30303030303031, 67.9090909090909, 68.51515151515152, 69.12121212121212, 69.72727272727272, 70.33333333333334, 70.93939393939394, 71.54545454545455, 72.15151515151516, 72.75757575757575, 73.36363636363637, 73.96969696969697, 74.57575757575758, 75.18181818181819, 75.78787878787878, 76.3939393939394, 77.0]
#> 8 [21.0, 21.555555555555557, 22.11111111111111, 22.666666666666668, 23.22222222222222, 23.77777777777778, 24.333333333333332, 24.88888888888889, 25.444444444444443, 26.0, 26.555555555555557, 27.11111111111111, 27.666666666666668, 28.22222222222222, 28.77777777777778, 29.333333333333336, 29.88888888888889, 30.444444444444443, 31.0, 31.555555555555557, 32.111111111111114, 32.66666666666667, 33.22222222222222, 33.77777777777778, 34.333333333333336, 34.888888888888886, 35.44444444444444, 36.0, 36.55555555555556, 37.111111111111114, 37.66666666666667, 38.22222222222222, 38.77777777777778, 39.333333333333336, 39.888888888888886, 40.44444444444444, 41.0, 41.55555555555556, 42.111111111111114, 42.66666666666667, 43.22222222222222, 43.77777777777778, 44.333333333333336, 44.888888888888886, 45.44444444444444, 46.0, 46.55555555555556, 47.111111111111114, 47.66666666666667, 48.22222222222223, 48.77777777777778, 49.333333333333336, 49.888888888888886, 50.44444444444444, 51.0, 51.55555555555556, 52.111111111111114, 52.66666666666667, 53.22222222222222, 53.77777777777778, 54.333333333333336, 54.88888888888889, 55.44444444444444, 56.0, 56.55555555555556, 57.111111111111114, 57.66666666666667, 58.22222222222222, 58.77777777777778, 59.333333333333336, 59.88888888888889, 60.44444444444444, 61.0, 61.55555555555556, 62.111111111111114, 62.66666666666667, 63.22222222222222, 63.77777777777778, 64.33333333333334, 64.88888888888889, 65.44444444444444, 66.0, 66.55555555555556, 67.11111111111111, 67.66666666666667, 68.22222222222223, 68.77777777777777, 69.33333333333334, 69.88888888888889, 70.44444444444446, 71.0, 71.55555555555556, 72.11111111111111, 72.66666666666667, 73.22222222222223, 73.77777777777777, 74.33333333333334, 74.88888888888889, 75.44444444444446, 76.0]
#> 9 [0.0, 1.5252525252525253, 3.0505050505050506, 4.575757575757576, 6.101010101010101, 7.626262626262626, 9.151515151515152, 10.676767676767676, 12.202020202020202, 13.727272727272728, 15.252525252525253, 16.77777777777778, 18.303030303030305, 19.82828282828283, 21.353535353535353, 22.87878787878788, 24.404040404040405, 25.92929292929293, 27.454545454545457, 28.97979797979798, 30.505050505050505, 32.03030303030303, 33.55555555555556, 35.08080808080808, 36.60606060606061, 38.131313131313135, 39.65656565656566, 41.18181818181818, 42.707070707070706, 44.23232323232323, 45.75757575757576, 47.282828282828284, 48.80808080808081, 50.333333333333336, 51.85858585858586, 53.38383838383839, 54.909090909090914, 56.43434343434344, 57.95959595959596, 59.484848484848484, 61.01010101010101, 62.535353535353536, 64.06060606060606, 65.58585858585859, 67.11111111111111, 68.63636363636364, 70.16161616161617, 71.68686868686869, 73.21212121212122, 74.73737373737374, 76.26262626262627, 77.7878787878788, 79.31313131313132, 80.83838383838385, 82.36363636363636, 83.88888888888889, 85.41414141414141, 86.93939393939394, 88.46464646464646, 89.98989898989899, 91.51515151515152, 93.04040404040404, 94.56565656565657, 96.0909090909091, 97.61616161616162, 99.14141414141415, 100.66666666666667, 102.1919191919192, 103.71717171717172, 105.24242424242425, 106.76767676767678, 108.2929292929293, 109.81818181818183, 111.34343434343435, 112.86868686868688, 114.39393939393939, 115.91919191919192, 117.44444444444444, 118.96969696969697, 120.4949494949495, 122.02020202020202, 123.54545454545455, 125.07070707070707, 126.5959595959596, 128.12121212121212, 129.64646464646466, 131.17171717171718, 132.6969696969697, 134.22222222222223, 135.74747474747474, 137.27272727272728, 138.7979797979798, 140.32323232323233, 141.84848484848484, 143.37373737373738, 144.8989898989899, 146.42424242424244, 147.94949494949495, 149.4747474747475, 151.0]
#> 10 [7.0, 7.737373737373737, 8.474747474747474, 9.212121212121211, 9.94949494949495, 10.686868686868687, 11.424242424242424, 12.161616161616163, 12.8989898989899, 13.636363636363637, 14.373737373737374, 15.11111111111111, 15.848484848484848, 16.585858585858585, 17.323232323232325, 18.060606060606062, 18.7979797979798, 19.535353535353536, 20.272727272727273, 21.01010101010101, 21.747474747474747, 22.484848484848484, 23.22222222222222, 23.95959595959596, 24.696969696969695, 25.434343434343432, 26.17171717171717, 26.90909090909091, 27.646464646464647, 28.383838383838384, 29.12121212121212, 29.858585858585858, 30.595959595959595, 31.333333333333332, 32.07070707070707, 32.8080808080808, 33.54545454545455, 34.28282828282828, 35.02020202020202, 35.75757575757576, 36.494949494949495, 37.23232323232323, 37.96969696969697, 38.707070707070706, 39.44444444444444, 40.18181818181818, 40.91919191919192, 41.656565656565654, 42.39393939393939, 43.13131313131313, 43.868686868686865, 44.6060606060606, 45.34343434343434, 46.080808080808076, 46.81818181818182, 47.55555555555556, 48.292929292929294, 49.03030303030303, 49.76767676767677, 50.505050505050505, 51.24242424242424, 51.97979797979798, 52.717171717171716, 53.45454545454545, 54.19191919191919, 54.92929292929293, 55.666666666666664, 56.4040404040404, 57.14141414141414, 57.878787878787875, 58.61616161616161, 59.35353535353535, 60.090909090909086, 60.82828282828282, 61.56565656565656, 62.303030303030305, 63.04040404040404, 63.77777777777778, 64.51515151515152, 65.25252525252526, 65.98989898989899, 66.72727272727272, 67.46464646464646, 68.20202020202021, 68.93939393939394, 69.67676767676767, 70.41414141414141, 71.15151515151516, 71.88888888888889, 72.62626262626263, 73.36363636363636, 74.1010101010101, 74.83838383838383, 75.57575757575758, 76.31313131313131, 77.05050505050505, 77.78787878787878, 78.52525252525253, 79.26262626262626, 80.0]
#> time_kde_y
#> 1 [0.00023302549387978672, 0.00022639769450415097, 0.00020762406442582107, 0.00017972997037586958, 0.00014685895806767815, 0.00011327068014520122, 8.246538665725038e-05, 5.667127931075837e-05, 3.676135064082027e-05, 2.2509042839747e-05, 1.3009473530846879e-05, 7.097404240033714e-06, 3.654908316838869e-06, 1.7766036872099498e-06, 8.151579433029913e-07, 3.530451027361106e-07, 1.4433008236409531e-07, 5.569724706348526e-08, 2.029556165466489e-08, 7.009717190129657e-09, 2.395415384402803e-09, 1.1674104267528035e-09, 1.8118062558050071e-09, 5.229253760479723e-09, 1.571127077508466e-08, 4.498512649440527e-08, 1.2176690423457188e-07, 3.1139177215499216e-07, 7.523016960725168e-07, 1.717112205763002e-06, 3.702943190211893e-06, 7.545066237992897e-06, 1.4527213350425187e-05, 2.6433635818198817e-05, 4.5463908561614576e-05, 7.393311497890246e-05, 0.0001137313821770333, 0.00016562716255303002, 0.00022864321950276145, 0.0002998460978836485, 0.00037488015389756414, 0.0004493842537788695, 0.0005210740771707935, 0.0005918832518070349, 0.0006693286438092551, 0.0007663697632806688, 0.0008995098030114647, 0.0010855924134431814, 0.0013383909811206345, 0.001666340871190362, 0.0020724243964825207, 0.0025563213650350767, 0.0031178059801476527, 0.0037595240592908446, 0.0044872343464370645, 0.005306570893556537, 0.006217107487949001, 0.0072062100533910175, 0.008245887662150977, 0.009294969411403911, 0.010306618256141544, 0.011238503455704102, 0.012061361939298038, 0.01276222702606016, 0.013341184958753924, 0.01380380314261408, 0.014153509380492263, 0.014387938124941796, 0.014500752467689367, 0.014487196127721853, 0.014349546229037648, 0.014098885211645878, 0.013751922818927271, 0.013324530169984763, 0.012825508987975935, 0.012253969848286517, 0.011601784751974991, 0.010860065890902491, 0.010026819684026467, 0.009112601097089513, 0.008142074342111862, 0.007151156695372723, 0.0061810105332583565, 0.00527097502125099, 0.004452484929243948, 0.0037453632222835846, 0.0031569696611347398, 0.0026838462280585514, 0.002314910294619458, 0.0020350097672221074, 0.0018278040172690737, 0.0016774063108793084, 0.0015688336171354848, 0.0014878024776836512, 0.0014205781527102477, 0.0013543844107299532, 0.0012784532668670295, 0.0011853736106472953, 0.0010721828914850937, 0.0009407061972187639]
#> 2 [0.0006912647167904268, 0.0007552814126724429, 0.0008234492325198714, 0.0008991438621060977, 0.0009864832796232178, 0.0010900816389340662, 0.0012147703371150236, 0.0013653229083108915, 0.0015462114117150744, 0.0017614078761816994, 0.0020142297548291013, 0.002307217809369225, 0.0026420315217745086, 0.003019351790677928, 0.003438791527115819, 0.003898828040648694, 0.004396782136931127, 0.0049288733899871375, 0.005490376446282875, 0.006075889105559011, 0.0066797013948457565, 0.007296230016997039, 0.007920459677977547, 0.008548317207183588, 0.009176900404843716, 0.009804493659168691, 0.010430326744489278, 0.011054069640066827, 0.011675100391590502, 0.012291629027975728, 0.01289980132274402, 0.013492934298652177, 0.014061043748490477, 0.014590807112782576, 0.015066060172603606, 0.015468855011561011, 0.01578101705376134, 0.015986043979710908, 0.016071106620325206, 0.016028860381098516, 0.0158587709237651, 0.0155677073756836, 0.01516965662018282, 0.014684547630254912, 0.014136320311710738, 0.013550499943796309, 0.012951620102200846, 0.012360857488397605, 0.011794198479676995, 0.011261360494335041, 0.010765563105686955, 0.010304110673230258, 0.009869634716737258, 0.009451767798263752, 0.009038988803171418, 0.008620389962134574, 0.008187159285654935, 0.007733635420776611, 0.007257862573937729, 0.006761640915979807, 0.0062501260307646, 0.00573107566808742, 0.005213871382305475, 0.00470845560663345, 0.004224320993534112, 0.0037696690869496318, 0.003350821872783217, 0.0029719268943004824, 0.002634950798195566, 0.002339914792493648, 0.0020852954375745725, 0.0018685002051433877, 0.001686330751866591, 0.0015353656295762047, 0.0014122229179745892, 0.0013136950761116098, 0.0012367762527785442, 0.0011786210354109267, 0.0011364804040733003, 0.0011076556396525483, 0.0010894967869262394, 0.0010794533330453322, 0.0010751659458348992, 0.0010745738467273958, 0.0010760057439795324, 0.0010782244274061094, 0.0010804053275919247, 0.0010820450183307297, 0.0010828130620538353, 0.0010823756596211754, 0.0010802286681885296, 0.0010755783888805955, 0.0010673006217659434, 0.0010539933351311236, 0.0010341190771289263, 0.0010062141431212196, 0.0009691267282492508, 0.0009222391432742139, 0.0008656312481787391, 0.0008001530730485097]
#> 3 [0.0008088151867655098, 0.000905581303981699, 0.0010128668968380835, 0.0011330962969916458, 0.001268963174469951, 0.0014232752975575696, 0.00159876169442585, 0.0017978506142518592, 0.002022430212714502, 0.002273608882691747, 0.002551498518658308, 0.0028550507017373397, 0.0031819808316468317, 0.003528816028729022, 0.0038910966855400506, 0.004263747294031145, 0.004641609743372471, 0.005020103953898263, 0.005395950838608773, 0.00576786694491456, 0.006137124802238867, 0.006507872990829394, 0.006887127903859365, 0.00728438451569007, 0.007710842141817388, 0.008178296157796748, 0.008697799104159196, 0.009278235510136281, 0.009924976625849322, 0.010638779619089772, 0.011415070258841826, 0.012243702506521155, 0.013109230204132577, 0.013991664818148956, 0.014867638877924947, 0.01571185549446268, 0.016498684889298846, 0.017203769614434594, 0.01780551734570623, 0.018286387064338674, 0.018633903392350507, 0.018841358318261545, 0.018908176064034315, 0.0188399258078675, 0.018647972295888146, 0.01834876191336802, 0.017962757115427344, 0.01751305825279801, 0.017023787671761992, 0.016518350995081657, 0.016017725844195273, 0.015538948977751035, 0.015093970578005147, 0.014689015032934327, 0.014324532519666583, 0.013995752262281858, 0.013693768248124199, 0.013407015220863343, 0.013122939847716994, 0.012829648467694429, 0.012517322763203411, 0.012179236000395315, 0.011812267622450953, 0.011416891557921617, 0.010996690591875496, 0.01055751325055635, 0.010106431399985856, 0.009650670952956951, 0.009196674409098535, 0.008749416765908187, 0.008312043620725768, 0.007885842070157079, 0.0074705015146574304, 0.007064581251954925, 0.006666080262713468, 0.00627300344400155, 0.005883835444219301, 0.005497862810550643, 0.0051153202414796085, 0.004737370064567755, 0.004365949703466099, 0.0040035363259081505, 0.00365288035422375, 0.003316751906526141, 0.0029977301288795564, 0.0026980490950503535, 0.0024194994581870936, 0.0021633751385350683, 0.0019304502345572597, 0.0017209726762809317, 0.0015346662930260362, 0.0013707396777990907, 0.001227906202417806, 0.0011044229880111903, 0.0009981566491176358, 0.0009066802768622454, 0.0008274003532389721, 0.0007577056203407176, 0.0006951240726344411, 0.0006374706742782475]
#> 4 [0.0008567297801018124, 0.0009198593045940619, 0.0009849798713337586, 0.0010531493257191942, 0.0011256472549536153, 0.0012039110036746777, 0.0012894552427874378, 0.0013837805736434954, 0.0014882780100760424, 0.001604137198180353, 0.001732266816047154, 0.0018732356310171966, 0.0020272420546990663, 0.0021941186090687504, 0.0023733754288971006, 0.002564283792591321, 0.00276599683522582, 0.0029777003359549165, 0.003198782201750289, 0.0034290054982555403, 0.003668667141947721, 0.003918723148782661, 0.004180861984551405, 0.004457510238864309, 0.004751759478289902, 0.005067209428508663, 0.005407730100052975, 0.005777153477297479, 0.006178913230014798, 0.0066156578604391674, 0.007088868081805046, 0.007598512427655491, 0.00814277561465372, 0.008717891669709679, 0.00931810811961258, 0.009935798709134228, 0.010561730548835604, 0.011185478035865231, 0.011795961441948501, 0.012382074140604946, 0.01293335066689084, 0.013440619795300273, 0.013896583986234692, 0.014296269812766733, 0.014637303567441648, 0.014919981566649877, 0.015147124282970945, 0.015323725201635654, 0.015456426628850885, 0.015552872904274078, 0.015621004225768155, 0.01566835989751901, 0.01570145752478168, 0.01572530482996938, 0.015743084704629658, 0.01575603399754449, 0.01576351500229189, 0.015763258356060496, 0.01575173948833285, 0.015724639621724813, 0.01567733755238327, 0.015605380058888273, 0.015504886035339512, 0.015372850932053808, 0.01520733207652581, 0.015007510113743421, 0.014773635477535445, 0.014506880138970328, 0.014209122951874162, 0.013882701252025464, 0.013530161899904986, 0.013154041968102983, 0.01275670331645716, 0.01234023712506142, 0.011906444962237972, 0.011456893130607469, 0.010993027863275426, 0.010516331390439513, 0.010028493787856935, 0.009531573448974562, 0.00902812027372329, 0.008521240143345366, 0.008014586460355487, 0.007512273624807478, 0.007018717176662438, 0.006538414720276072, 0.006075689466594922, 0.005634423298834656, 0.0052178080548302905, 0.004828142025910852, 0.004466693756438635, 0.004133647759105343, 0.0038281377156494482, 0.0035483632542284327, 0.00329177763575599, 0.003055326654085045, 0.0028357145085346398, 0.0026296707492177132, 0.0024341936604224527, 0.002246749315590833]
#> 5 [0.008984869189537998, 0.010174901945381282, 0.011330788473660277, 0.012439011785706212, 0.013497927953329035, 0.014517723205295378, 0.015518483370562792, 0.016526724298294607, 0.017571018384444033, 0.01867749955530968, 0.019865999225532678, 0.021147366716052104, 0.022522215811303908, 0.023981005100604278, 0.025505098992273656, 0.027068336322217845, 0.02863867130620725, 0.030179611566082544, 0.031651390139085696, 0.033011997617928064, 0.034218312588891235, 0.03522758229104997, 0.03599942959810245, 0.03649842226172149, 0.036697064810407444, 0.03657889040030799, 0.03614116984350323, 0.03539665750496072, 0.03437380617618356, 0.03311504638487649, 0.031673049486389736, 0.030105333181030338, 0.028468017583895004, 0.026809857796141114, 0.025167735918543536, 0.02356453144652998, 0.022009749370131712, 0.020502616707635476, 0.019036760663005164, 0.0176052359184091, 0.016204670560921706, 0.01483763006301556, 0.013512836808967239, 0.012243459595801363, 0.011044145002930396, 0.009927698464144073, 0.008902308694997474, 0.007969981052387495, 0.007126481992354168, 0.00636269485871977, 0.005666942091417273, 0.005027618440454401, 0.004435449809585619, 0.0038848447755328802, 0.003374093951937584, 0.002904510182313267, 0.002478888912570667, 0.002099819451514179, 0.0017683569140689687, 0.0014833926818628514, 0.001241807748956295, 0.0010392479214360226, 0.0008711981700902743, 0.0007339921020613064, 0.0006254622650381927, 0.0005450747143003784, 0.0004935428713874183, 0.00047203820299043017, 0.0004811886197595707, 0.0005200812399563097, 0.0005854765729787892, 0.0006714071821109219, 0.0007692787945048763, 0.0008685138206157256, 0.0009576778797923742, 0.0010259222303462773, 0.0010644849128562531, 0.0010679521780803652, 0.0010350122577428345, 0.000968537440257695, 0.0008749834330233634, 0.0007632533980825752, 0.0006432902955030926, 0.0005247016611951395, 0.0004156780228925275, 0.0003223594055750091, 0.00024867153263784215, 0.00019653561154038136, 0.0001662839829929995, 0.00015710130885110204, 0.00016735168710612627, 0.00019472689698113148, 0.00023623453613927324, 0.0002881125929478678, 0.0003457906237472558, 0.00040400851811495396, 0.000457154814751257, 0.0004998121325000434, 0.0005274203695162199, 0.0005369139689480908]
#> 6 [0.0010211222265451103, 0.0014266064558347525, 0.0020159216656305042, 0.002857175553416046, 0.004012535030897057, 0.00552413628872501, 0.007404887313282722, 0.009638433013572114, 0.012188214281500501, 0.015010017643104922, 0.018059118428799405, 0.02128528052748258, 0.024616518523686185, 0.027941189272427124, 0.03110125989486167, 0.03390430587594591, 0.03615116872065655, 0.037667766972685555, 0.038329048631655184, 0.03806989150253665, 0.03688593267605446, 0.03483086224858547, 0.032014308169027283, 0.028599400985729117, 0.02479572547995899, 0.020843537095256416, 0.016988140711869985, 0.013447650340363151, 0.010381517963706413, 0.00786944106247676, 0.005908514475510012, 0.004430298630102112, 0.0033314300124219344, 0.002506082150220655, 0.0018691929532576436, 0.0013651961575269302, 0.0009641212004106902, 0.000651347509028664, 0.0004175209197422865, 0.0002524227808462054, 0.0001433090189640195, 7.615538803659434e-05, 3.778387991448824e-05, 1.7465856427437584e-05, 7.509114305554928e-06, 2.9981013217986997e-06, 1.110177890717659e-06, 3.8083189259446925e-07, 1.209045507353319e-07, 3.54941310468406e-08, 9.628673719300139e-09, 2.412198317216158e-09, 5.578014710204532e-10, 1.1901092258336405e-10, 2.3419970626402624e-11, 4.249684582923379e-12, 7.10900791581512e-13, 1.0977323856671112e-13, 1.6989041949065224e-14, 1.2980282824819438e-14, 7.81252339823645e-14, 5.10548613231632e-13, 3.082097185127829e-12, 1.7136344342934355e-11, 8.774665442614237e-11, 4.1379297511752023e-10, 1.7971147717444763e-09, 7.188009927586873e-09, 2.647778652043073e-08, 8.982450614343462e-08, 2.806390837109183e-07, 8.074983118475651e-07, 2.1398101646526506e-06, 5.222146162488888e-06, 1.1737158080039437e-05, 2.4295007560654885e-05, 4.6313891911978114e-05, 8.131032058237894e-05, 0.00013146805333778228, 0.00019576496898577583, 0.00026846644245757343, 0.0003390670980173581, 0.0003943874751422848, 0.0004224806258874997, 0.0004168239475545854, 0.0003788075873951529, 0.00031725986995131223, 0.00024530327973612374, 0.00017620322300445558, 0.00012017896166295619, 8.329775082527088e-05, 6.823910202172662e-05, 7.575006852152976e-05, 0.0001054848600058703, 0.00015556727834274077, 0.00022121542513050093, 0.0002935891100098628, 0.0003601821726999332, 0.00040737264360559566, 0.00042444843333547494]
#> 7 [0.004298631398802324, 0.004991189632784004, 0.00572762578358274, 0.0065031211479595905, 0.00731397312927061, 0.008158093563920853, 0.009035219390900052, 0.009946780422509719, 0.010895430627182737, 0.01188431134555895, 0.012916162186015458, 0.013992416758789384, 0.015112412351828, 0.016272810647471752, 0.017467283362906826, 0.01868647748479439, 0.019918251271574112, 0.021148167714457395, 0.02236023985915631, 0.0235379278715583, 0.024665375072207008, 0.025728829516717722, 0.026718131284555226, 0.027628069602109794, 0.028459354796531836, 0.029218936583498615, 0.02991945299135405, 0.030577717048663397, 0.031212323837504448, 0.0318406524684378, 0.03247569953894999, 0.03312326848539171, 0.0337800236866911, 0.03443279413863889, 0.035059300822824, 0.03563022864707179, 0.036112323515821304, 0.03647202042814184, 0.03667903605558054, 0.03670940044651885, 0.03654754156944698, 0.0361872356522512, 0.035631446987560836, 0.0348912565733204, 0.033984187100110565, 0.03293226067670983, 0.03176008483709508, 0.030493176861602, 0.029156637314790814, 0.027774197909811296, 0.026367611938957536, 0.02495632938862748, 0.023557394348431446, 0.022185505735937132, 0.020853182650160545, 0.019570969520673952, 0.018347609007472475, 0.0171901130214132, 0.016103684146678007, 0.0150914840285826, 0.014154304401118001, 0.01329025345987273, 0.012494604359257764, 0.011759946702295156, 0.011076730051730748, 0.010434199577339537, 0.009821620167871366, 0.009229595875983375, 0.008651243499312207, 0.008082988637464102, 0.007524819744150207, 0.006979944290172975, 0.006453913689251984, 0.005953389676539055, 0.0054847896890872294, 0.005053059919893372, 0.0046607839108457096, 0.004307755885932357, 0.003991052585627249, 0.0037055468802251862, 0.0034447379048738046, 0.0032017350771171116, 0.002970228223857643, 0.002745297962079589, 0.0025239608053338933, 0.002305392858867581, 0.0020908262419797436, 0.0018831573274121635, 0.0016863412493780556, 0.0015046701973778817, 0.0013420423034100951, 0.0012013231238664863, 0.0010838837993655335, 0.0009893714123003266, 0.0009157317795611345, 0.0008594679524212716, 0.0008160845098981803, 0.0007806433261715602, 0.0007483445010529074, 0.0007150481258499249]
#> 8 [0.0035665480054400795, 0.003950261847304873, 0.004352871366337973, 0.004775857342902061, 0.005221379551154391, 0.0056922910470168725, 0.0061921427494022515, 0.006725173800296599, 0.007296274520897455, 0.007910901436337773, 0.008574920443583633, 0.009294356821624015, 0.010075040376867846, 0.010922150017767475, 0.011839682314699332, 0.012829889661775095, 0.01389275131860208, 0.015025550729754615, 0.01622263186353114, 0.01747539429608709, 0.018772561936359834, 0.02010072641120568, 0.021445127882409282, 0.02279059932111931, 0.024122571123199366, 0.025428016675296553, 0.026696219534461895, 0.027919260230086736, 0.029092153540089156, 0.030212611083731827, 0.03128045296586959, 0.03229673886262671, 0.033262726494132186, 0.034178788433250125, 0.03504342349829973, 0.03585248620917628, 0.03659872937089148, 0.0372717154989883, 0.03785810863913533, 0.038342315589272175, 0.03870741024457842, 0.038936250703485505, 0.03901268763644632, 0.038922763686404835, 0.03865581488603324, 0.0382054025791856, 0.03757002413008088, 0.0367535693322272, 0.03576550462975653, 0.03462077832747711, 0.03333944770599232, 0.031946035321397614, 0.030468629175484287, 0.028937752001847346, 0.027385039695299745, 0.025841787444604133, 0.024337442261998025, 0.022898138800027147, 0.02154538736453052, 0.0202950248661849, 0.019156528322467503, 0.018132765675429884, 0.017220221807737482, 0.01640969271842337, 0.01568739355667007, 0.015036383004294333, 0.014438173302698308, 0.01387437652542521, 0.013328235823358528, 0.01278590522440083, 0.012237370856924102, 0.01167694623439596, 0.011103319596258229, 0.010519177125356438, 0.009930467375645596, 0.009345405400586404, 0.008773336798450737, 0.008223590231392656, 0.007704441222110218, 0.007222290847250939, 0.0067811324502524565, 0.0063823412338665135, 0.0060247802945608084, 0.005705177738235015, 0.005418698315451839, 0.005159613938744457, 0.004921973125141281, 0.004700180118942134, 0.004489417948842382, 0.0042858815328060944, 0.004086821353528539, 0.0038904291018018893, 0.003695618843768168, 0.0035017674226799278, 0.003308475138074884, 0.003115393950178607, 0.0029221492567945706, 0.002728357544364119, 0.0025337208489403735, 0.002338163953743623]
#> 9 [0.009415792005866142, 0.01118893687417599, 0.013019379531666488, 0.01503119814109205, 0.017354186205748114, 0.020058134159905344, 0.02311143994368508, 0.026379143923032963, 0.029655608221657543, 0.0327134719030064, 0.035347244744679034, 0.03739599585470741, 0.038741792211271046, 0.03929363670639045, 0.038974039216264564, 0.037722575311334536, 0.03551946887977475, 0.032419322111275566, 0.02857756257748337, 0.0242528591272107, 0.019776950521692687, 0.015496452634832123, 0.011704458584454997, 0.008586195266480788, 0.00619772920336256, 0.004481894620531201, 0.0033099758465163715, 0.002529844923611729, 0.002003712807468804, 0.0016275869032469394, 0.0013339589838067024, 0.0010847861700964787, 0.0008621529770244892, 0.0006607208830707735, 0.00048238146578200334, 0.00033194679746069607, 0.00021337595160840066, 0.00012720242495725656, 6.9940788633788e-05, 3.5325936093916166e-05, 1.6342811280106188e-05, 6.911087719213912e-06, 2.6677217751504523e-06, 9.39050217663402e-07, 3.01234178471932e-07, 8.802206283462109e-08, 2.3421684401258193e-08, 5.674062035897691e-09, 1.2512913973518025e-09, 2.511712630716719e-10, 4.588814932196886e-11, 7.630117768072084e-12, 1.1546467894934585e-12, 1.5901772001128103e-13, 1.993032602530716e-14, 2.273273821766562e-15, 2.359689251256102e-16, 2.2290598049100692e-17, 1.916245703097146e-18, 1.4991405963483956e-19, 1.0673199819345314e-20, 6.915245697850601e-22, 4.077378362838428e-23, 2.1878368538075953e-24, 1.0687484803248368e-25, 5.810354220678582e-27, 2.5194417495492012e-26, 5.35233882870567e-25, 1.0426855827479592e-23, 1.8485392554777884e-22, 2.9823857951864014e-21, 4.37883713327422e-20, 5.850777573919179e-19, 7.114235042073155e-18, 7.872318497037576e-17, 7.927512381087611e-16, 7.264923192976187e-15, 6.058776760842131e-14, 4.598314807111926e-13, 3.175939899489258e-12, 1.9962074680399746e-11, 1.1418233033556659e-10, 5.943632572530031e-10, 2.815560290892112e-09, 1.2137731734659602e-08, 4.761788076948633e-08, 1.7000528300869205e-07, 5.523503040605371e-07, 1.6331519843239122e-06, 4.394388343571216e-06, 1.0760441499256376e-05, 2.3978475771916543e-05, 4.862648539958943e-05, 8.973957626300228e-05, 0.00015071447799063346, 0.00023034869619884685, 0.00032038809399196136, 0.00040553356432631335, 0.0004671292545477902, 0.0004896741223047488]
#> 10 [0.002026348972100904, 0.0024973371143609774, 0.003050840805530561, 0.0037003841967216578, 0.004460172782592838, 0.005344752027100561, 0.00636900385550552, 0.007548057626465769, 0.008896459042236037, 0.010426141871767663, 0.01214339789644838, 0.014045840893271308, 0.016120810951836657, 0.018346349937961883, 0.020694766593208035, 0.023137370150808353, 0.025647966043430757, 0.028202846393617843, 0.030776409553633397, 0.033333662684004076, 0.035822711661883166, 0.03817100025229022, 0.040288148568700555, 0.04207610553988183, 0.04344482746257843, 0.04432974619454147, 0.044706488148990545, 0.044598772002447176, 0.04407691833788434, 0.04324656313902233, 0.04222954412318058, 0.04114102081711599, 0.04006811310702192, 0.03905518128861857, 0.03809916448734684, 0.03715558336535711, 0.036152878094248955, 0.03501079580063811, 0.033658219425264875, 0.03204700537605173, 0.03016026113480844, 0.028015082572658553, 0.025660533755514015, 0.023171693533055402, 0.020640456169845656, 0.018163960934578928, 0.015832117709198325, 0.013716316231363608, 0.011861528263369451, 0.010283352947518271, 0.008970287242090966, 0.007890147366892369, 0.006998679633795303, 0.006248263072938691, 0.005595119648247819, 0.0050042427045624725, 0.004451940910833082, 0.003926267213989353, 0.003425694922379705, 0.0029563983138584304, 0.0025285637066422293, 0.0021523383944943592, 0.0018342127338418013, 0.001574655320680247, 0.0013675704614355552, 0.0012016502140910449, 0.0010631205661300552, 0.0009389629186216389, 0.0008196017245718046, 0.0007003175291171007, 0.000581147080426721, 0.0004655540621837783, 0.0003584954245334396, 0.0002645709521356542, 0.00018675860965054422, 0.0001259287754942248, 8.104033257244666e-05, 4.9749218979811126e-05, 2.9130198198283795e-05, 1.6288351304737376e-05, 8.754725488132866e-06, 4.665468439493815e-06, 2.786951366582436e-06, 2.4685113153776325e-06, 3.59227955364053e-06, 6.561318295980402e-06, 1.2333209384241011e-05, 2.2471023277899325e-05, 3.915061363262135e-05, 6.503970469002106e-05, 0.00010296363440462678, 0.00015531048745811925, 0.00022321233388519486, 0.0003056565977581835, 0.0003987925750263273, 0.0004957445592265935, 0.0005871734804943638, 0.0006626321258489802, 0.0007124856483214501, 0.0007299234760035233]
#> TARGET_SUBJECT_PREVALENCE CONTROL_SUBJECT_PREVALENCE
#> 1 0.312 0.00
#> 2 0.310 0.00
#> 3 0.220 0.00
#> 4 0.158 0.00
#> 5 0.342 0.01
#> 6 0.338 0.00
#> 7 0.330 0.00
#> 8 0.238 0.00
#> 9 0.328 0.01
#> 10 0.326 0.00
#> PREVALENCE_DIFFERENCE_RATIO
#> 1 100.0
#> 2 100.0
#> 3 100.0
#> 4 100.0
#> 5 34.2
#> 6 100.0
#> 7 100.0
#> 8 100.0
#> 9 32.8
#> 10 100.0
clustering_k*_summary.parquet
Each file contains one row per concept per cluster for a fixed
k.
Shared columns (k=2,3,4,5):
-
CONCEPT_ID: Concept identifier. -
cluster: Cluster label (C1,C2, …). -
patient_count: Number of patients in that cluster with concept present. -
time_median: Median time-to-event for concept within cluster. -
time_q1: 25th percentile of time-to-event within cluster. -
time_q3: 75th percentile of time-to-event within cluster. -
time_min: Minimum time-to-event within cluster. -
time_max: Maximum time-to-event within cluster. -
total_cluster_patients: Cluster size. -
CONCEPT_NAME: Concept name. -
ORIGINAL_CONCEPT_ID: Base concept id. -
ORDINAL: Ordinal index (0 for non-ordinal rows). -
IS_ORDINAL: Ordinal flag. -
age_mean: Mean age for concept-positive patients in cluster. -
age_std: Age standard deviation in cluster. -
male_proportion: Male proportion in cluster. -
prevalence:patient_count / total_cluster_patients.
clustering_k2_summary.parquet
#> CONCEPT_ID cluster patient_count time_median time_q1 time_q3 time_min
#> 1 2107967 C1 156 22.0 17.00 27.00 0
#> 2 2107967 C2 9 30.0 22.75 68.25 16
#> 3 2107968 C1 160 18.0 13.00 24.00 0
#> 4 2107968 C2 8 37.0 19.00 96.50 3
#> 5 2108158 C1 152 20.5 15.75 25.25 0
#> 6 2108158 C2 5 25.0 22.50 41.75 18
#> 7 32280 C2 156 224.0 202.00 249.00 11
#> 8 32815 C1 5 80.0 27.00 90.00 19
#> 9 32815 C2 144 248.0 233.00 260.00 113
#> 10 4008211 C1 169 36.0 25.00 46.00 0
#> time_max total_cluster_patients CONCEPT_NAME ORIGINAL_CONCEPT_ID
#> 1 161 336 Lobectomy 2107967
#> 2 145 164 Lobectomy 2107967
#> 3 129 336 Lobectomy of lung 2107968
#> 4 147 164 Lobectomy of lung 2107968
#> 5 50 336 Partial pneumonectomy 2108158
#> 6 89 164 Partial pneumonectomy 2108158
#> 7 320 164 Death 32280
#> 8 101 336 Death Certificate 32815
#> 9 299 164 Death Certificate 32815
#> 10 160 336 Radiotherapy 4008211
#> ORDINAL IS_ORDINAL age_mean age_std male_proportion prevalence
#> 1 0 FALSE 66.37179 5.415888 0.5897436 0.46428571
#> 2 0 FALSE 72.55556 7.418071 0.6666667 0.05487805
#> 3 0 FALSE 66.57500 5.271914 0.6000000 0.47619048
#> 4 0 FALSE 71.12500 7.160158 0.6250000 0.04878049
#> 5 0 FALSE 66.59211 5.408303 0.5723684 0.45238095
#> 6 0 FALSE 70.25000 8.539126 1.0000000 0.03048780
#> 7 0 FALSE 78.35256 6.034101 0.5192308 0.95121951
#> 8 0 FALSE 60.66667 4.163332 0.3333333 0.01488095
#> 9 0 FALSE 78.33333 6.176880 0.4861111 0.87804878
#> 10 0 FALSE 56.76331 5.589389 0.5798817 0.50297619
clustering_k3_summary.parquet
#> CONCEPT_ID cluster patient_count time_median time_q1 time_q3 time_min
#> 1 2107967 C1 5 116.5 104.75 130.25 80
#> 2 2107967 C2 5 61.5 33.75 103.25 28
#> 3 2107967 C3 157 22.0 17.00 27.00 0
#> 4 2107968 C1 5 104.0 65.00 121.00 47
#> 5 2107968 C2 5 84.0 49.25 114.25 19
#> 6 2107968 C3 160 17.5 13.00 24.00 0
#> 7 2108158 C1 5 50.0 50.00 50.00 50
#> 8 2108158 C2 5 89.0 89.00 89.00 89
#> 9 2108158 C3 154 20.5 16.00 25.00 0
#> 10 32280 C2 155 224.0 202.75 249.00 123
#> time_max total_cluster_patients CONCEPT_NAME ORIGINAL_CONCEPT_ID
#> 1 161 170 Lobectomy 2107967
#> 2 145 160 Lobectomy 2107967
#> 3 43 170 Lobectomy 2107967
#> 4 129 170 Lobectomy of lung 2107968
#> 5 147 160 Lobectomy of lung 2107968
#> 6 82 170 Lobectomy of lung 2107968
#> 7 50 170 Partial pneumonectomy 2108158
#> 8 89 160 Partial pneumonectomy 2108158
#> 9 41 170 Partial pneumonectomy 2108158
#> 10 320 160 Death 32280
#> ORDINAL IS_ORDINAL age_mean age_std male_proportion prevalence
#> 1 0 FALSE 53.66667 7.234178 0.6666667 0.02941176
#> 2 0 FALSE 76.80000 6.942622 0.6000000 0.03125000
#> 3 0 FALSE 66.63694 5.060091 0.5923567 0.92352941
#> 4 0 FALSE 57.75000 3.403430 0.7500000 0.02941176
#> 5 0 FALSE 75.00000 8.041559 0.5000000 0.03125000
#> 6 0 FALSE 66.81250 5.084429 0.6000000 0.94117647
#> 7 0 FALSE 50.00000 0.000000 1.0000000 0.02941176
#> 8 0 FALSE 82.00000 0.000000 1.0000000 0.03125000
#> 9 0 FALSE 66.69481 5.223536 0.5779221 0.90588235
#> 10 0 FALSE 78.40000 6.024409 0.5161290 0.96875000
clustering_k4_summary.parquet
#> CONCEPT_ID cluster patient_count time_median time_q1 time_q3 time_min
#> 1 2107967 C1 49 22.0 17.50 26.00 6
#> 2 2107967 C2 5 116.5 104.75 130.25 80
#> 3 2107967 C3 108 22.0 17.00 28.00 0
#> 4 2107967 C4 5 61.5 33.75 103.25 28
#> 5 2107968 C1 48 16.5 12.75 22.25 0
#> 6 2107968 C2 5 104.0 65.00 121.00 47
#> 7 2107968 C3 112 18.0 13.00 24.00 2
#> 8 2107968 C4 5 84.0 49.25 114.25 19
#> 9 2108158 C1 47 20.0 15.50 23.50 0
#> 10 2108158 C2 5 50.0 50.00 50.00 50
#> time_max total_cluster_patients CONCEPT_NAME ORIGINAL_CONCEPT_ID
#> 1 38 51 Lobectomy 2107967
#> 2 161 170 Lobectomy 2107967
#> 3 43 119 Lobectomy 2107967
#> 4 145 160 Lobectomy 2107967
#> 5 44 51 Lobectomy of lung 2107968
#> 6 129 170 Lobectomy of lung 2107968
#> 7 82 119 Lobectomy of lung 2107968
#> 8 147 160 Lobectomy of lung 2107968
#> 9 38 51 Partial pneumonectomy 2108158
#> 10 50 170 Partial pneumonectomy 2108158
#> ORDINAL IS_ORDINAL age_mean age_std male_proportion prevalence
#> 1 0 FALSE 66.04082 5.396601 0.6530612 0.96078431
#> 2 0 FALSE 53.66667 7.234178 0.6666667 0.02941176
#> 3 0 FALSE 66.90741 4.901911 0.5648148 0.90756303
#> 4 0 FALSE 76.80000 6.942622 0.6000000 0.03125000
#> 5 0 FALSE 66.12500 5.448502 0.6666667 0.94117647
#> 6 0 FALSE 57.75000 3.403430 0.7500000 0.02941176
#> 7 0 FALSE 67.10714 4.916157 0.5714286 0.94117647
#> 8 0 FALSE 75.00000 8.041559 0.5000000 0.03125000
#> 9 0 FALSE 66.23404 5.545122 0.6382979 0.92156863
#> 10 0 FALSE 50.00000 0.000000 1.0000000 0.02941176
clustering_k5_summary.parquet
#> CONCEPT_ID cluster patient_count time_median time_q1 time_q3 time_min
#> 1 2107967 C1 5 116.5 104.75 130.25 80
#> 2 2107967 C2 108 22.0 17.00 28.00 0
#> 3 2107967 C4 5 61.5 33.75 103.25 28
#> 4 2107967 C5 49 22.0 17.50 26.00 6
#> 5 2107968 C1 5 112.5 94.25 123.00 65
#> 6 2107968 C2 112 18.0 13.00 24.00 2
#> 7 2107968 C3 5 47.0 47.00 47.00 47
#> 8 2107968 C4 5 84.0 49.25 114.25 19
#> 9 2107968 C5 48 16.5 12.75 22.25 0
#> 10 2108158 C2 107 21.0 16.00 26.00 0
#> time_max total_cluster_patients CONCEPT_NAME ORIGINAL_CONCEPT_ID
#> 1 161 126 Lobectomy 2107967
#> 2 43 119 Lobectomy 2107967
#> 3 145 160 Lobectomy 2107967
#> 4 38 51 Lobectomy 2107967
#> 5 129 126 Lobectomy of lung 2107968
#> 6 82 119 Lobectomy of lung 2107968
#> 7 47 44 Lobectomy of lung 2107968
#> 8 147 160 Lobectomy of lung 2107968
#> 9 44 51 Lobectomy of lung 2107968
#> 10 41 119 Partial pneumonectomy 2108158
#> ORDINAL IS_ORDINAL age_mean age_std male_proportion prevalence
#> 1 0 FALSE 53.66667 7.234178 0.6666667 0.03968254
#> 2 0 FALSE 66.90741 4.901911 0.5648148 0.90756303
#> 3 0 FALSE 76.80000 6.942622 0.6000000 0.03125000
#> 4 0 FALSE 66.04082 5.396601 0.6530612 0.96078431
#> 5 0 FALSE 58.66667 3.511885 1.0000000 0.03968254
#> 6 0 FALSE 67.10714 4.916157 0.5714286 0.94117647
#> 7 0 FALSE 55.00000 0.000000 0.0000000 0.11363636
#> 8 0 FALSE 75.00000 8.041559 0.5000000 0.03125000
#> 9 0 FALSE 66.12500 5.448502 0.6666667 0.94117647
#> 10 0 FALSE 66.89720 5.089639 0.5514019 0.89915966
clustering_k*_pairwise_overlap.parquet
Each file contains concept-pair overlap metrics for
overall and each cluster group for fixed
k.
Shared columns (k=2,3,4,5):
-
concept_id_1: First concept in pair. -
concept_id_2: Second concept in pair. -
jaccard: Jaccard overlap for pair. -
phi_correlation: Phi correlation for pair. -
prevalence: Single-concept prevalence (diagonal rows where concept1 == concept2). -
patient_count: Single-concept patient count (diagonal rows). -
group:overallor cluster (C1,C2, …). -
co_occurrence: Co-occurrence count (typically off-diagonal rows). -
union: Union count (typically off-diagonal rows).
clustering_k2_pairwise_overlap.parquet
#> concept_id_1 concept_id_2 jaccard phi_correlation prevalence
#> 1 2107967 2107967 1.00000000 1.00000000 0.33
#> 2 2107967 2107968 0.80000000 0.83349940 NA
#> 3 2107967 2108158 0.79329609 0.83101460 NA
#> 4 2107967 32280 0.01904762 -0.41752700 NA
#> 5 2107967 32815 0.01298701 -0.41554418 NA
#> 6 2107967 4008211 0.01510574 -0.46113294 NA
#> 7 2107967 4008226 0.01230769 -0.45407242 NA
#> 8 2107967 4014023 0.01960784 -0.39687223 NA
#> 9 2107967 4032404 0.32558140 0.02471801 NA
#> 10 2107967 4167262 0.31078224 -0.04681707 NA
#> patient_count group co_occurrence union
#> 1 165 overall NA NA
#> 2 NA overall 148 185
#> 3 NA overall 142 179
#> 4 NA overall 6 315
#> 5 NA overall 5 308
#> 6 NA overall 5 331
#> 7 NA overall 5 325
#> 8 NA overall 6 306
#> 9 NA overall 154 473
#> 10 NA overall 147 473
clustering_k3_pairwise_overlap.parquet
#> concept_id_1 concept_id_2 jaccard phi_correlation prevalence
#> 1 2107967 2107967 1.00000000 1.00000000 0.33
#> 2 2107967 2107968 0.80000000 0.83349940 NA
#> 3 2107967 2108158 0.79329609 0.83101460 NA
#> 4 2107967 32280 0.01904762 -0.41752700 NA
#> 5 2107967 32815 0.01298701 -0.41554418 NA
#> 6 2107967 4008211 0.01510574 -0.46113294 NA
#> 7 2107967 4008226 0.01230769 -0.45407242 NA
#> 8 2107967 4014023 0.01960784 -0.39687223 NA
#> 9 2107967 4032404 0.32558140 0.02471801 NA
#> 10 2107967 4167262 0.31078224 -0.04681707 NA
#> patient_count group co_occurrence union
#> 1 165 overall NA NA
#> 2 NA overall 148 185
#> 3 NA overall 142 179
#> 4 NA overall 6 315
#> 5 NA overall 5 308
#> 6 NA overall 5 331
#> 7 NA overall 5 325
#> 8 NA overall 6 306
#> 9 NA overall 154 473
#> 10 NA overall 147 473
clustering_k4_pairwise_overlap.parquet
#> concept_id_1 concept_id_2 jaccard phi_correlation prevalence
#> 1 2107967 2107967 1.00000000 1.00000000 0.33
#> 2 2107967 2107968 0.80000000 0.83349940 NA
#> 3 2107967 2108158 0.79329609 0.83101460 NA
#> 4 2107967 32280 0.01904762 -0.41752700 NA
#> 5 2107967 32815 0.01298701 -0.41554418 NA
#> 6 2107967 4008211 0.01510574 -0.46113294 NA
#> 7 2107967 4008226 0.01230769 -0.45407242 NA
#> 8 2107967 4014023 0.01960784 -0.39687223 NA
#> 9 2107967 4032404 0.32558140 0.02471801 NA
#> 10 2107967 4167262 0.31078224 -0.04681707 NA
#> patient_count group co_occurrence union
#> 1 165 overall NA NA
#> 2 NA overall 148 185
#> 3 NA overall 142 179
#> 4 NA overall 6 315
#> 5 NA overall 5 308
#> 6 NA overall 5 331
#> 7 NA overall 5 325
#> 8 NA overall 6 306
#> 9 NA overall 154 473
#> 10 NA overall 147 473
clustering_k5_pairwise_overlap.parquet
#> concept_id_1 concept_id_2 jaccard phi_correlation prevalence
#> 1 2107967 2107967 1.00000000 1.00000000 0.33
#> 2 2107967 2107968 0.80000000 0.83349940 NA
#> 3 2107967 2108158 0.79329609 0.83101460 NA
#> 4 2107967 32280 0.01904762 -0.41752700 NA
#> 5 2107967 32815 0.01298701 -0.41554418 NA
#> 6 2107967 4008211 0.01510574 -0.46113294 NA
#> 7 2107967 4008226 0.01230769 -0.45407242 NA
#> 8 2107967 4014023 0.01960784 -0.39687223 NA
#> 9 2107967 4032404 0.32558140 0.02471801 NA
#> 10 2107967 4167262 0.31078224 -0.04681707 NA
#> patient_count group co_occurrence union
#> 1 165 overall NA NA
#> 2 NA overall 148 185
#> 3 NA overall 142 179
#> 4 NA overall 6 315
#> 5 NA overall 5 308
#> 6 NA overall 5 331
#> 7 NA overall 5 325
#> 8 NA overall 6 306
#> 9 NA overall 154 473
#> 10 NA overall 147 473
complementaryMappingTable.parquet
Concept mapping history table (same schema as patient mode). In
lc500s it is empty.
Column descriptions:
-
CONCEPT_ID: Original concept id. -
CONCEPT_NAME: Original concept name. -
NEW_CONCEPT_ID: Mapped concept id. -
NEW_CONCEPT_NAME: Mapped concept name. -
TYPE: Mapping type. -
HERITAGE: Heritage/domain.
#> [1] CONCEPT_ID CONCEPT_NAME NEW_CONCEPT_ID NEW_CONCEPT_NAME
#> [5] TYPE HERITAGE
#> <0 rows> (or 0-length row.names)