chi_squared_distribution_table.js

/**
 * **Percentage Points of the χ2 (Chi-Squared) Distribution**
 *
 * The [χ2 (Chi-Squared) Distribution](http://en.wikipedia.org/wiki/Chi-squared_distribution) is used in the common
 * chi-squared tests for goodness of fit of an observed distribution to a theoretical one, the independence of two
 * criteria of classification of qualitative data, and in confidence interval estimation for a population standard
 * deviation of a normal distribution from a sample standard deviation.
 *
 * Values from Appendix 1, Table III of William W. Hines & Douglas C. Montgomery, "Probability and Statistics in
 * Engineering and Management Science", Wiley (1980).
 */
const chiSquaredDistributionTable = {
    1: {
        0.995: 0,
        0.99: 0,
        0.975: 0,
        0.95: 0,
        0.9: 0.02,
        0.5: 0.45,
        0.1: 2.71,
        0.05: 3.84,
        0.025: 5.02,
        0.01: 6.63,
        0.005: 7.88
    },
    2: {
        0.995: 0.01,
        0.99: 0.02,
        0.975: 0.05,
        0.95: 0.1,
        0.9: 0.21,
        0.5: 1.39,
        0.1: 4.61,
        0.05: 5.99,
        0.025: 7.38,
        0.01: 9.21,
        0.005: 10.6
    },
    3: {
        0.995: 0.07,
        0.99: 0.11,
        0.975: 0.22,
        0.95: 0.35,
        0.9: 0.58,
        0.5: 2.37,
        0.1: 6.25,
        0.05: 7.81,
        0.025: 9.35,
        0.01: 11.34,
        0.005: 12.84
    },
    4: {
        0.995: 0.21,
        0.99: 0.3,
        0.975: 0.48,
        0.95: 0.71,
        0.9: 1.06,
        0.5: 3.36,
        0.1: 7.78,
        0.05: 9.49,
        0.025: 11.14,
        0.01: 13.28,
        0.005: 14.86
    },
    5: {
        0.995: 0.41,
        0.99: 0.55,
        0.975: 0.83,
        0.95: 1.15,
        0.9: 1.61,
        0.5: 4.35,
        0.1: 9.24,
        0.05: 11.07,
        0.025: 12.83,
        0.01: 15.09,
        0.005: 16.75
    },
    6: {
        0.995: 0.68,
        0.99: 0.87,
        0.975: 1.24,
        0.95: 1.64,
        0.9: 2.2,
        0.5: 5.35,
        0.1: 10.65,
        0.05: 12.59,
        0.025: 14.45,
        0.01: 16.81,
        0.005: 18.55
    },
    7: {
        0.995: 0.99,
        0.99: 1.25,
        0.975: 1.69,
        0.95: 2.17,
        0.9: 2.83,
        0.5: 6.35,
        0.1: 12.02,
        0.05: 14.07,
        0.025: 16.01,
        0.01: 18.48,
        0.005: 20.28
    },
    8: {
        0.995: 1.34,
        0.99: 1.65,
        0.975: 2.18,
        0.95: 2.73,
        0.9: 3.49,
        0.5: 7.34,
        0.1: 13.36,
        0.05: 15.51,
        0.025: 17.53,
        0.01: 20.09,
        0.005: 21.96
    },
    9: {
        0.995: 1.73,
        0.99: 2.09,
        0.975: 2.7,
        0.95: 3.33,
        0.9: 4.17,
        0.5: 8.34,
        0.1: 14.68,
        0.05: 16.92,
        0.025: 19.02,
        0.01: 21.67,
        0.005: 23.59
    },
    10: {
        0.995: 2.16,
        0.99: 2.56,
        0.975: 3.25,
        0.95: 3.94,
        0.9: 4.87,
        0.5: 9.34,
        0.1: 15.99,
        0.05: 18.31,
        0.025: 20.48,
        0.01: 23.21,
        0.005: 25.19
    },
    11: {
        0.995: 2.6,
        0.99: 3.05,
        0.975: 3.82,
        0.95: 4.57,
        0.9: 5.58,
        0.5: 10.34,
        0.1: 17.28,
        0.05: 19.68,
        0.025: 21.92,
        0.01: 24.72,
        0.005: 26.76
    },
    12: {
        0.995: 3.07,
        0.99: 3.57,
        0.975: 4.4,
        0.95: 5.23,
        0.9: 6.3,
        0.5: 11.34,
        0.1: 18.55,
        0.05: 21.03,
        0.025: 23.34,
        0.01: 26.22,
        0.005: 28.3
    },
    13: {
        0.995: 3.57,
        0.99: 4.11,
        0.975: 5.01,
        0.95: 5.89,
        0.9: 7.04,
        0.5: 12.34,
        0.1: 19.81,
        0.05: 22.36,
        0.025: 24.74,
        0.01: 27.69,
        0.005: 29.82
    },
    14: {
        0.995: 4.07,
        0.99: 4.66,
        0.975: 5.63,
        0.95: 6.57,
        0.9: 7.79,
        0.5: 13.34,
        0.1: 21.06,
        0.05: 23.68,
        0.025: 26.12,
        0.01: 29.14,
        0.005: 31.32
    },
    15: {
        0.995: 4.6,
        0.99: 5.23,
        0.975: 6.27,
        0.95: 7.26,
        0.9: 8.55,
        0.5: 14.34,
        0.1: 22.31,
        0.05: 25,
        0.025: 27.49,
        0.01: 30.58,
        0.005: 32.8
    },
    16: {
        0.995: 5.14,
        0.99: 5.81,
        0.975: 6.91,
        0.95: 7.96,
        0.9: 9.31,
        0.5: 15.34,
        0.1: 23.54,
        0.05: 26.3,
        0.025: 28.85,
        0.01: 32,
        0.005: 34.27
    },
    17: {
        0.995: 5.7,
        0.99: 6.41,
        0.975: 7.56,
        0.95: 8.67,
        0.9: 10.09,
        0.5: 16.34,
        0.1: 24.77,
        0.05: 27.59,
        0.025: 30.19,
        0.01: 33.41,
        0.005: 35.72
    },
    18: {
        0.995: 6.26,
        0.99: 7.01,
        0.975: 8.23,
        0.95: 9.39,
        0.9: 10.87,
        0.5: 17.34,
        0.1: 25.99,
        0.05: 28.87,
        0.025: 31.53,
        0.01: 34.81,
        0.005: 37.16
    },
    19: {
        0.995: 6.84,
        0.99: 7.63,
        0.975: 8.91,
        0.95: 10.12,
        0.9: 11.65,
        0.5: 18.34,
        0.1: 27.2,
        0.05: 30.14,
        0.025: 32.85,
        0.01: 36.19,
        0.005: 38.58
    },
    20: {
        0.995: 7.43,
        0.99: 8.26,
        0.975: 9.59,
        0.95: 10.85,
        0.9: 12.44,
        0.5: 19.34,
        0.1: 28.41,
        0.05: 31.41,
        0.025: 34.17,
        0.01: 37.57,
        0.005: 40
    },
    21: {
        0.995: 8.03,
        0.99: 8.9,
        0.975: 10.28,
        0.95: 11.59,
        0.9: 13.24,
        0.5: 20.34,
        0.1: 29.62,
        0.05: 32.67,
        0.025: 35.48,
        0.01: 38.93,
        0.005: 41.4
    },
    22: {
        0.995: 8.64,
        0.99: 9.54,
        0.975: 10.98,
        0.95: 12.34,
        0.9: 14.04,
        0.5: 21.34,
        0.1: 30.81,
        0.05: 33.92,
        0.025: 36.78,
        0.01: 40.29,
        0.005: 42.8
    },
    23: {
        0.995: 9.26,
        0.99: 10.2,
        0.975: 11.69,
        0.95: 13.09,
        0.9: 14.85,
        0.5: 22.34,
        0.1: 32.01,
        0.05: 35.17,
        0.025: 38.08,
        0.01: 41.64,
        0.005: 44.18
    },
    24: {
        0.995: 9.89,
        0.99: 10.86,
        0.975: 12.4,
        0.95: 13.85,
        0.9: 15.66,
        0.5: 23.34,
        0.1: 33.2,
        0.05: 36.42,
        0.025: 39.36,
        0.01: 42.98,
        0.005: 45.56
    },
    25: {
        0.995: 10.52,
        0.99: 11.52,
        0.975: 13.12,
        0.95: 14.61,
        0.9: 16.47,
        0.5: 24.34,
        0.1: 34.28,
        0.05: 37.65,
        0.025: 40.65,
        0.01: 44.31,
        0.005: 46.93
    },
    26: {
        0.995: 11.16,
        0.99: 12.2,
        0.975: 13.84,
        0.95: 15.38,
        0.9: 17.29,
        0.5: 25.34,
        0.1: 35.56,
        0.05: 38.89,
        0.025: 41.92,
        0.01: 45.64,
        0.005: 48.29
    },
    27: {
        0.995: 11.81,
        0.99: 12.88,
        0.975: 14.57,
        0.95: 16.15,
        0.9: 18.11,
        0.5: 26.34,
        0.1: 36.74,
        0.05: 40.11,
        0.025: 43.19,
        0.01: 46.96,
        0.005: 49.65
    },
    28: {
        0.995: 12.46,
        0.99: 13.57,
        0.975: 15.31,
        0.95: 16.93,
        0.9: 18.94,
        0.5: 27.34,
        0.1: 37.92,
        0.05: 41.34,
        0.025: 44.46,
        0.01: 48.28,
        0.005: 50.99
    },
    29: {
        0.995: 13.12,
        0.99: 14.26,
        0.975: 16.05,
        0.95: 17.71,
        0.9: 19.77,
        0.5: 28.34,
        0.1: 39.09,
        0.05: 42.56,
        0.025: 45.72,
        0.01: 49.59,
        0.005: 52.34
    },
    30: {
        0.995: 13.79,
        0.99: 14.95,
        0.975: 16.79,
        0.95: 18.49,
        0.9: 20.6,
        0.5: 29.34,
        0.1: 40.26,
        0.05: 43.77,
        0.025: 46.98,
        0.01: 50.89,
        0.005: 53.67
    },
    40: {
        0.995: 20.71,
        0.99: 22.16,
        0.975: 24.43,
        0.95: 26.51,
        0.9: 29.05,
        0.5: 39.34,
        0.1: 51.81,
        0.05: 55.76,
        0.025: 59.34,
        0.01: 63.69,
        0.005: 66.77
    },
    50: {
        0.995: 27.99,
        0.99: 29.71,
        0.975: 32.36,
        0.95: 34.76,
        0.9: 37.69,
        0.5: 49.33,
        0.1: 63.17,
        0.05: 67.5,
        0.025: 71.42,
        0.01: 76.15,
        0.005: 79.49
    },
    60: {
        0.995: 35.53,
        0.99: 37.48,
        0.975: 40.48,
        0.95: 43.19,
        0.9: 46.46,
        0.5: 59.33,
        0.1: 74.4,
        0.05: 79.08,
        0.025: 83.3,
        0.01: 88.38,
        0.005: 91.95
    },
    70: {
        0.995: 43.28,
        0.99: 45.44,
        0.975: 48.76,
        0.95: 51.74,
        0.9: 55.33,
        0.5: 69.33,
        0.1: 85.53,
        0.05: 90.53,
        0.025: 95.02,
        0.01: 100.42,
        0.005: 104.22
    },
    80: {
        0.995: 51.17,
        0.99: 53.54,
        0.975: 57.15,
        0.95: 60.39,
        0.9: 64.28,
        0.5: 79.33,
        0.1: 96.58,
        0.05: 101.88,
        0.025: 106.63,
        0.01: 112.33,
        0.005: 116.32
    },
    90: {
        0.995: 59.2,
        0.99: 61.75,
        0.975: 65.65,
        0.95: 69.13,
        0.9: 73.29,
        0.5: 89.33,
        0.1: 107.57,
        0.05: 113.14,
        0.025: 118.14,
        0.01: 124.12,
        0.005: 128.3
    },
    100: {
        0.995: 67.33,
        0.99: 70.06,
        0.975: 74.22,
        0.95: 77.93,
        0.9: 82.36,
        0.5: 99.33,
        0.1: 118.5,
        0.05: 124.34,
        0.025: 129.56,
        0.01: 135.81,
        0.005: 140.17
    }
};

export default chiSquaredDistributionTable;