/* @flow */ /** * **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;