x-pack/platform/packages/shared/ml/chi2test/constants.ts

/* * Copyright Elasticsearch B.V. and/or licensed to Elasticsearch B.V. under one * or more contributor license agreements. Licensed under the Elastic License * 2.0; you may not use this file except in compliance with the Elastic License * 2.0. */ /** * Table generated from following python code import scipy.stats as stats import numpy as np # generate a chi-squared critical value table # degrees of freedom df = range(1,100) # levels of significance significance_levels = np.concatenate((np.logspace(-6, -3, 3), np.linspace(0.01, 0.99, 99))) # create the table table = [] for d in df: row = [] for l in significance_levels: row.append(round(stats.chi2.ppf(1 - l, d), 2)) table.append(row) critical_value_table = np.array(table) # print the critical value table as a TypeScipt array print("export const CRITICAL_VALUES_TABLE = [") for row in critical_value_table: print(f" [{', '.join([str(x) for x in row])}],") print("];") # print the significance levels as a TypeScript array print("export const SIGNIFICANCE_LEVELS = [") print(f" {', '.join([f'{x:.6f}' for x in significance_levels])}") print("];") * until we find a low size replacement for doing chi2test in js */ export const CRITICAL_VALUES_TABLE = [ [ 23.93, 17.32, 10.83, 6.63, 5.41, 4.71, 4.22, 3.84, 3.54, 3.28, 3.06, 2.87, 2.71, 2.55, 2.42, 2.29, 2.18, 2.07, 1.97, 1.88, 1.8, 1.72, 1.64, 1.57, 1.5, 1.44, 1.38, 1.32, 1.27, 1.22, 1.17, 1.12, 1.07, 1.03, 0.99, 0.95, 0.91, 0.87, 0.84, 0.8, 0.77, 0.74, 0.71, 0.68, 0.65, 0.62, 0.6, 0.57, 0.55, 0.52, 0.5, 0.48, 0.45, 0.43, 0.41, 0.39, 0.38, 0.36, 0.34, 0.32, 0.31, 0.29, 0.27, 0.26, 0.25, 0.23, 0.22, 0.21, 0.19, 0.18, 0.17, 0.16, 0.15, 0.14, 0.13, 0.12, 0.11, 0.1, 0.09, 0.09, 0.08, 0.07, 0.06, 0.06, 0.05, 0.05, 0.04, 0.04, 0.03, 0.03, 0.02, 0.02, 0.02, 0.01, 0.01, 0.01, 0.01, 0.0, 0.0, 0.0, 0.0, 0.0, ], [ 27.63, 20.72, 13.82, 9.21, 7.82, 7.01, 6.44, 5.99, 5.63, 5.32, 5.05, 4.82, 4.61, 4.41, 4.24, 4.08, 3.93, 3.79, 3.67, 3.54, 3.43, 3.32, 3.22, 3.12, 3.03, 2.94, 2.85, 2.77, 2.69, 2.62, 2.55, 2.48, 2.41, 2.34, 2.28, 2.22, 2.16, 2.1, 2.04, 1.99, 1.94, 1.88, 1.83, 1.78, 1.74, 1.69, 1.64, 1.6, 1.55, 1.51, 1.47, 1.43, 1.39, 1.35, 1.31, 1.27, 1.23, 1.2, 1.16, 1.12, 1.09, 1.06, 1.02, 0.99, 0.96, 0.92, 0.89, 0.86, 0.83, 0.8, 0.77, 0.74, 0.71, 0.68, 0.66, 0.63, 0.6, 0.58, 0.55, 0.52, 0.5, 0.47, 0.45, 0.42, 0.4, 0.37, 0.35, 0.33, 0.3, 0.28, 0.26, 0.23, 0.21, 0.19, 0.17, 0.15, 0.12, 0.1, 0.08, 0.06, 0.04, 0.02, ], [ 30.66, 23.51, 16.27, 11.34, 9.84, 8.95, 8.31, 7.81, 7.41, 7.06, 6.76, 6.49, 6.25, 6.03, 5.83, 5.65, 5.48, 5.32, 5.17, 5.02, 4.89, 4.76, 4.64, 4.53, 4.41, 4.31, 4.21, 4.11, 4.01, 3.92, 3.83, 3.75, 3.66, 3.58, 3.51, 3.43, 3.36, 3.28, 3.21, 3.14, 3.08, 3.01, 2.95, 2.88, 2.82, 2.76, 2.7, 2.64, 2.59, 2.53, 2.47, 2.42, 2.37, 2.31, 2.26, 2.21, 2.16, 2.11, 2.06, 2.01, 1.96, 1.92, 1.87, 1.82, 1.78, 1.73, 1.69, 1.64, 1.6, 1.55, 1.51, 1.47, 1.42, 1.38, 1.34, 1.3, 1.25, 1.21, 1.17, 1.13, 1.09, 1.05, 1.01, 0.96, 0.92, 0.88, 0.84, 0.8, 0.76, 0.71, 0.67, 0.63, 0.58, 0.54, 0.49, 0.45, 0.4, 0.35, 0.3, 0.25, 0.18, 0.11, ], [ 33.38, 26.0, 18.47, 13.28, 11.67, 10.71, 10.03, 9.49, 9.04, 8.67, 8.34, 8.04, 7.78, 7.54, 7.32, 7.11, 6.92, 6.74, 6.58, 6.42, 6.27, 6.13, 5.99, 5.86, 5.73, 5.61, 5.5, 5.39, 5.28, 5.17, 5.07, 4.97, 4.88, 4.79, 4.7, 4.61, 4.52, 4.44, 4.36, 4.28, 4.2, 4.12, 4.04, 3.97, 3.9, 3.83, 3.76, 3.69, 3.62, 3.55, 3.49, 3.42, 3.36, 3.29, 3.23, 3.17, 3.11, 3.05, 2.99, 2.93, 2.87, 2.81, 2.75, 2.7, 2.64, 2.58, 2.53, 2.47, 2.41, 2.36, 2.3, 2.25, 2.19, 2.14, 2.09, 2.03, 1.98, 1.92, 1.87, 1.81, 1.76, 1.7, 1.65, 1.59, 1.54, 1.48, 1.42, 1.37, 1.31, 1.25, 1.19, 1.13, 1.06, 1.0, 0.93, 0.86, 0.79, 0.71, 0.63, 0.54, 0.43, 0.3, ], [ 35.89, 28.31, 20.52, 15.09, 13.39, 12.37, 11.64, 11.07, 10.6, 10.19, 9.84, 9.52, 9.24, 8.98, 8.74, 8.52, 8.31, 8.12, 7.93, 7.76, 7.6, 7.44, 7.29, 7.15, 7.01, 6.88, 6.75, 6.63, 6.51, 6.39, 6.28, 6.17, 6.06, 5.96, 5.86, 5.76, 5.67, 5.57, 5.48, 5.39, 5.3, 5.22, 5.13, 5.05, 4.97, 4.89, 4.81, 4.73, 4.65, 4.57, 4.5, 4.42, 4.35, 4.28, 4.21, 4.14, 4.07, 4.0, 3.93, 3.86, 3.79, 3.72, 3.66, 3.59, 3.52, 3.46, 3.39, 3.33, 3.26, 3.19, 3.13, 3.06, 3.0, 2.94, 2.87, 2.81, 2.74, 2.67, 2.61, 2.54, 2.48, 2.41, 2.34, 2.27, 2.21, 2.14, 2.07, 1.99, 1.92, 1.85, 1.77, 1.69, 1.61, 1.53, 1.44, 1.35, 1.25, 1.15, 1.03, 0.9, 0.75, 0.55, ], [ 38.26, 30.5, 22.46, 16.81, 15.03, 13.97, 13.2, 12.59, 12.09, 11.66, 11.28, 10.95, 10.64, 10.37, 10.11, 9.88, 9.65, 9.45, 9.25, 9.06, 8.89, 8.72, 8.56, 8.4, 8.26, 8.11, 7.97, 7.84, 7.71, 7.59, 7.46, 7.35, 7.23, 7.12, 7.01, 6.9, 6.8, 6.69, 6.59, 6.5, 6.4, 6.3, 6.21, 6.12, 6.03, 5.94, 5.85, 5.77, 5.68, 5.6, 5.51, 5.43, 5.35, 5.27, 5.19, 5.11, 5.03, 4.95, 4.87, 4.8, 4.72, 4.65, 4.57, 4.5, 4.42, 4.35, 4.27, 4.2, 4.12, 4.05, 3.98, 3.9, 3.83, 3.75, 3.68, 3.6, 3.53, 3.45, 3.38, 3.3, 3.23, 3.15, 3.07, 2.99, 2.91, 2.83, 2.75, 2.66, 2.57, 2.49, 2.4, 2.3, 2.2, 2.1, 2.0, 1.88, 1.76, 1.64, 1.49, 1.33, 1.13, 0.87, ], [ 40.52, 32.59, 24.32, 18.48, 16.62, 15.51, 14.7, 14.07, 13.54, 13.09, 12.69, 12.34, 12.02, 11.72, 11.45, 11.2, 10.97, 10.75, 10.54, 10.34, 10.15, 9.97, 9.8, 9.64, 9.48, 9.33, 9.18, 9.04, 8.9, 8.76, 8.63, 8.51, 8.38, 8.26, 8.14, 8.03, 7.92, 7.81, 7.7, 7.59, 7.49, 7.38, 7.28, 7.18, 7.09, 6.99, 6.89, 6.8, 6.71, 6.62, 6.52, 6.43, 6.35, 6.26, 6.17, 6.08, 6.0, 5.91, 5.83, 5.74, 5.66, 5.58, 5.49, 5.41, 5.33, 5.25, 5.16, 5.08, 5.0, 4.92, 4.84, 4.75, 4.67, 4.59, 4.51, 4.42, 4.34, 4.25, 4.17, 4.08, 4.0, 3.91, 3.82, 3.73, 3.64, 3.55, 3.45, 3.36, 3.26, 3.16, 3.05, 2.95, 2.83, 2.72, 2.59, 2.46, 2.32, 2.17, 2.0, 1.8, 1.56, 1.24, ], [ 42.7, 34.6, 26.12, 20.09, 18.17, 17.01, 16.17, 15.51, 14.96, 14.48, 14.07, 13.7, 13.36, 13.05, 12.77, 12.51, 12.26, 12.03, 11.81, 11.6, 11.4, 11.21, 11.03, 10.86, 10.69, 10.53, 10.37, 10.22, 10.07, 9.93, 9.79, 9.66, 9.52, 9.4, 9.27, 9.15, 9.03, 8.91, 8.79, 8.68, 8.57, 8.46, 8.35, 8.24, 8.14, 8.04, 7.93, 7.83, 7.73, 7.63, 7.54, 7.44, 7.34, 7.25, 7.16, 7.06, 6.97, 6.88, 6.78, 6.69, 6.6, 6.51, 6.42, 6.33, 6.24, 6.15, 6.06, 5.98, 5.89, 5.8, 5.71, 5.62, 5.53, 5.44, 5.35, 5.26, 5.16, 5.07, 4.98, 4.88, 4.79, 4.69, 4.59, 4.49, 4.39, 4.29, 4.19, 4.08, 3.97, 3.85, 3.74, 3.62, 3.49, 3.36, 3.22, 3.07, 2.91, 2.73, 2.54, 2.31, 2.03, 1.65, ], [ 44.81, 36.55, 27.88, 21.67, 19.68, 18.48, 17.61, 16.92, 16.35, 15.85, 15.42, 15.03, 14.68, 14.36, 14.07, 13.79, 13.53, 13.29, 13.06, 12.84, 12.63, 12.43, 12.24, 12.06, 11.88, 11.71, 11.55, 11.39, 11.23, 11.08, 10.94, 10.8, 10.66, 10.52, 10.39, 10.26, 10.13, 10.01, 9.88, 9.76, 9.64, 9.53, 9.41, 9.3, 9.19, 9.08, 8.97, 8.86, 8.76, 8.65, 8.55, 8.44, 8.34, 8.24, 8.14, 8.04, 7.94, 7.84, 7.75, 7.65, 7.55, 7.45, 7.36, 7.26, 7.16, 7.07, 6.97, 6.88, 6.78, 6.68, 6.59, 6.49, 6.39, 6.3, 6.2, 6.1, 6.0, 5.9, 5.8, 5.7, 5.59, 5.49, 5.38, 5.27, 5.16, 5.05, 4.93, 4.82, 4.7, 4.57, 4.44, 4.31, 4.17, 4.02, 3.87, 3.7, 3.52, 3.33, 3.1, 2.85, 2.53, 2.09, ], [ 46.86, 38.45, 29.59, 23.21, 21.16, 19.92, 19.02, 18.31, 17.71, 17.2, 16.75, 16.35, 15.99, 15.65, 15.34, 15.06, 14.79, 14.53, 14.29, 14.07, 13.85, 13.64, 13.44, 13.25, 13.07, 12.89, 12.72, 12.55, 12.39, 12.23, 12.08, 11.93, 11.78, 11.64, 11.5, 11.36, 11.23, 11.1, 10.97, 10.84, 10.72, 10.59, 10.47, 10.35, 10.24, 10.12, 10.01, 9.89, 9.78, 9.67, 9.56, 9.45, 9.34, 9.23, 9.13, 9.02, 8.92, 8.81, 8.71, 8.6, 8.5, 8.4, 8.3, 8.19, 8.09, 7.99, 7.89, 7.78, 7.68, 7.58, 7.47, 7.37, 7.27, 7.16, 7.06, 6.95, 6.84, 6.74, 6.63, 6.52, 6.41, 6.29, 6.18, 6.06, 5.94, 5.82, 5.7, 5.57, 5.44, 5.3, 5.16, 5.02, 4.87, 4.7, 4.54, 4.35, 4.16, 3.94, 3.7, 3.41, 3.06, 2.56, ], [ 48.87, 40.31, 31.26, 24.72, 22.62, 21.34, 20.41, 19.68, 19.06, 18.53, 18.07, 17.65, 17.28, 16.93, 16.61, 16.31, 16.03, 15.77, 15.52, 15.28, 15.05, 14.84, 14.63, 14.43, 14.24, 14.05, 13.87, 13.7, 13.53, 13.37, 13.21, 13.05, 12.9, 12.75, 12.6, 12.46, 12.32, 12.18, 12.05, 11.92, 11.79, 11.66, 11.53, 11.4, 11.28, 11.16, 11.04, 10.92, 10.8, 10.69, 10.57, 10.45, 10.34, 10.23, 10.12, 10.0, 9.89, 9.78, 9.67, 9.56, 9.45, 9.35, 9.24, 9.13, 9.02, 8.91, 8.8, 8.7, 8.59, 8.48, 8.37, 8.26, 8.15, 8.04, 7.93, 7.81, 7.7, 7.58, 7.47, 7.35, 7.23, 7.11, 6.99, 6.86, 6.74, 6.61, 6.47, 6.34, 6.2, 6.05, 5.9, 5.74, 5.58, 5.4, 5.22, 5.02, 4.81, 4.57, 4.31, 4.0, 3.61, 3.05, ], [ 50.83, 42.13, 32.91, 26.22, 24.05, 22.74, 21.79, 21.03, 20.39, 19.85, 19.37, 18.94, 18.55, 18.19, 17.86, 17.55, 17.26, 16.99, 16.73, 16.49, 16.25, 16.03, 15.81, 15.61, 15.41, 15.21, 15.03, 14.85, 14.67, 14.5, 14.33, 14.17, 14.01, 13.86, 13.7, 13.56, 13.41, 13.27, 13.13, 12.99, 12.85, 12.72, 12.58, 12.45, 12.32, 12.2, 12.07, 11.95, 11.82, 11.7, 11.58, 11.46, 11.34, 11.22, 11.1, 10.99, 10.87, 10.76, 10.64, 10.53, 10.41, 10.3, 10.18, 10.07, 9.95, 9.84, 9.73, 9.61, 9.5, 9.38, 9.27, 9.15, 9.03, 8.92, 8.8, 8.68, 8.56, 8.44, 8.32, 8.19, 8.07, 7.94, 7.81, 7.67, 7.54, 7.4, 7.26, 7.11, 6.96, 6.81, 6.65, 6.48, 6.3, 6.12, 5.92, 5.71, 5.48, 5.23, 4.94, 4.6, 4.18, 3.57, ], [ 52.75, 43.92, 34.53, 27.69, 25.47, 24.12, 23.14, 22.36, 21.71, 21.15, 20.66, 20.21, 19.81, 19.44, 19.1, 18.78, 18.48, 18.2, 17.94, 17.68, 17.44, 17.21, 16.98, 16.77, 16.56, 16.36, 16.17, 15.98, 15.8, 15.62, 15.45, 15.28, 15.12, 14.96, 14.8, 14.65, 14.49, 14.35, 14.2, 14.05, 13.91, 13.77, 13.64, 13.5, 13.37, 13.23, 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7.12, 6.86, 6.57, 6.24, 5.86, 5.37, 4.66, ], [ 56.49, 47.41, 37.7, 30.58, 28.26, 26.85, 25.82, 25.0, 24.31, 23.72, 23.2, 22.73, 22.31, 21.92, 21.56, 21.22, 20.9, 20.6, 20.32, 20.05, 19.79, 19.55, 19.31, 19.08, 18.86, 18.65, 18.44, 18.25, 18.05, 17.86, 17.68, 17.5, 17.32, 17.15, 16.98, 16.82, 16.65, 16.49, 16.34, 16.18, 16.03, 15.88, 15.73, 15.59, 15.44, 15.3, 15.16, 15.02, 14.88, 14.74, 14.61, 14.47, 14.34, 14.21, 14.07, 13.94, 13.81, 13.68, 13.55, 13.42, 13.29, 13.16, 13.03, 12.9, 12.77, 12.64, 12.51, 12.38, 12.25, 12.12, 11.99, 11.85, 11.72, 11.59, 11.45, 11.31, 11.18, 11.04, 10.9, 10.75, 10.61, 10.46, 10.31, 10.15, 10.0, 9.83, 9.67, 9.5, 9.32, 9.14, 8.95, 8.75, 8.55, 8.33, 8.09, 7.84, 7.57, 7.26, 6.91, 6.5, 5.98, 5.23, ], [ 58.32, 49.12, 39.25, 32.0, 29.63, 28.19, 27.14, 26.3, 25.59, 24.99, 24.46, 23.98, 23.54, 23.14, 22.77, 22.42, 22.1, 21.79, 21.5, 21.23, 20.96, 20.71, 20.47, 20.23, 20.0, 19.79, 19.57, 19.37, 19.17, 18.97, 18.78, 18.6, 18.42, 18.24, 18.07, 17.9, 17.73, 17.56, 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72.29, 69.23, ], ]; /** * Signifance levels used by `computeChi2PValue`. */ export const SIGNIFICANCE_LEVELS = [ 0.000001, 0.000032, 0.001, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, ];

x-pack/platform/packages/shared/ml/chi2test/constants.ts (990 lines of code) (raw):