{"example":"Enzyme Kinetics: Michaelis–Menten","labtools_version":"0.14.3","generated":"2026-09-23","calls":[{"label":"stats.describe","method":"stats.describe","params":{},"result":{"columns":[{"excess_kurtosis":null,"iqr":0.05999999999999961,"max":3.61,"mean":3.5566666666666666,"median":3.57,"min":3.49,"n":3,"n_missing":0,"name":"0.5 µM","q1":3.5300000000000002,"q3":3.59,"range":0.11999999999999966,"sd":0.06110100926607768,"sem":0.03527668414752777,"skewness":-0.9352195295828185,"sum":10.67,"variance":0.0037333333333333107},{"excess_kurtosis":null,"iqr":0.28500000000000014,"max":7.27,"mean":7.06,"median":7.21,"min":6.7,"n":3,"n_missing":0,"name":"1.0 µM","q1":6.955,"q3":7.24,"range":0.5699999999999994,"sd":0.3132091952673163,"sem":0.18083141320025112,"skewness":-1.6608180541907953,"sum":21.18,"variance":0.09809999999999984},{"excess_kurtosis":null,"iqr":2.7249999999999943,"max":87.01,"mean":84.48,"median":84.87,"min":81.56,"n":3,"n_missing":0,"name":"120.0 µM","q1":83.215,"q3":85.94,"range":5.450000000000003,"sd":2.745851416227762,"sem":1.5853180543138137,"skewness":-0.6262523875048079,"sum":253.44,"variance":7.539700000000008},{"excess_kurtosis":null,"iqr":1.7850000000000037,"max":53.78,"mean":51.876666666666665,"median":51.64,"min":50.21,"n":3,"n_missing":0,"name":"15.0 µM","q1":50.925,"q3":52.71,"range":3.5700000000000003,"sd":1.796728508521344,"sem":1.0373416880554729,"skewness":0.5824596361910088,"sum":155.63,"variance":3.2282333333333337},{"excess_kurtosis":null,"iqr":0.5549999999999997,"max":13.67,"mean":13.023333333333333,"median":12.84,"min":12.56,"n":3,"n_missing":0,"name":"2.0 µM","q1":12.7,"q3":13.254999999999999,"range":1.1099999999999994,"sd":0.5772636601530821,"sem":0.33328332958277057,"skewness":1.2850064666536731,"sum":39.07,"variance":0.33323333333333305},{"excess_kurtosis":null,"iqr":1.6049999999999898,"max":87.04,"mean":85.59333333333332,"median":85.91,"min":83.83,"n":3,"n_missing":0,"name":"240.0 µM","q1":84.87,"q3":86.475,"range":3.210000000000008,"sd":1.6282608308662787,"sem":0.9400768290115697,"skewness":-0.8420654127259741,"sum":256.78,"variance":2.6512333333333444},{"excess_kurtosis":null,"iqr":1.0700000000000074,"max":70.47,"mean":69.5,"median":69.7,"min":68.33,"n":3,"n_missing":0,"name":"30.0 µM","q1":69.015,"q3":70.08500000000001,"range":2.1400000000000006,"sd":1.0839280418920811,"sem":0.625806146768577,"skewness":-0.8020450258612088,"sum":208.5,"variance":1.1749000000000014},{"excess_kurtosis":null,"iqr":1.0750000000000028,"max":24.06,"mean":23.073333333333334,"median":23.25,"min":21.91,"n":3,"n_missing":0,"name":"4.0 µM","q1":22.58,"q3":23.655,"range":2.1499999999999986,"sd":1.0858330135584071,"sem":0.626905982672929,"skewness":-0.712775284200734,"sum":69.22,"variance":1.1790333333333318},{"excess_kurtosis":null,"iqr":1.1700000000000017,"max":79.33,"mean":78.32,"median":78.64,"min":76.99,"n":3,"n_missing":0,"name":"60.0 µM","q1":77.815,"q3":78.985,"range":2.3400000000000034,"sd":1.2023726543796667,"sem":0.6941901756723454,"skewness":-1.1128028655184694,"sum":234.95999999999998,"variance":1.4457000000000053},{"excess_kurtosis":null,"iqr":2.1650000000000063,"max":38.56,"mean":36.656666666666666,"median":37.18,"min":34.23,"n":3,"n_missing":0,"name":"8.0 µM","q1":35.705,"q3":37.870000000000005,"range":4.330000000000005,"sd":2.211929775859384,"sem":1.2770582515209639,"skewness":-1.0050829015739249,"sum":109.97,"variance":4.892633333333345}],"n_columns":10,"notes":["Group '0.5 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '1.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '120.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '15.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '2.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '240.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '30.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '4.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '60.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality.","Group '8.0 µM' has n = 3; normality screening has very low power at this size, so a non-significant Shapiro–Wilk is weak evidence of normality."],"source":{"kind":"arrays"}},"error":null},{"label":"stats.correlation","method":"stats.correlation","params":{"method":"pearson"},"result":{"alpha":0.05,"coefficient":0.7395513055210168,"interpretation":"very strong positive correlation (r = 0.740, p = 0.0000)","method":"pearson","n":30,"n_dropped":0,"notes":["Pearson's r measures LINEAR association only, and is sensitive to outliers. A scatter plot (plot.create kind='scatter') is worth a look before reporting it; use method='spearman' if the relationship is monotonic but curved."],"p_value":3.023036445537824e-06,"r_squared":0.5469361334978403,"significant":true,"source":{"kind":"arrays"},"t_statistic":5.813900705088513,"test":"Pearson","variables":["a","b"]},"error":null},{"label":"stats.correlation","method":"stats.correlation","params":{"method":"spearman"},"result":{"alpha":0.05,"coefficient":0.9915182824329701,"interpretation":"extremely strong positive monotonic correlation (ρ = 0.992, p = 0.0000)","method":"spearman","n":30,"n_dropped":0,"notes":[],"p_value":2.3189349859286244e-26,"r_squared":null,"significant":true,"source":{"kind":"arrays"},"t_statistic":40.36878607152938,"test":"Spearman","variables":["a","b"]},"error":null},{"label":"stats.correlation","method":"stats.correlation","params":{"method":"kendall"},"result":{"alpha":0.05,"coefficient":0.9172413793103448,"interpretation":"very strong positive rank correlation (τ = 0.917, p = 0.0000)","method":"kendall","n":30,"n_dropped":0,"notes":[],"p_value":1.0905146419034308e-12,"r_squared":null,"significant":true,"source":{"kind":"arrays"},"t_statistic":7.118571370397129,"test":"Kendall","variables":["a","b"]},"error":null}]}