Chi- Squared Distribution Table for Highest Density Regions

The chi-squared distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. Some of the statistical methods involve summarizing a probability distribution by means of covering a sample space region of a specified probability. To select the sample space region it is required to contain points of relatively high density. These Highest density regions also referred to as HDR are particularly useful for displaying multimodal distributions.

ν50%60%67%70%75%
30.2592.5430.1703.0610.1203.4860.0993.7310.0704.155
40.8713.8360.6844.4110.5654.8760.5065.1430.4205.603
51.5765.0971.3155.7301.1416.2381.0526.5270.9187.023
62.3276.3302.0047.0161.7837.5631.6697.8741.4938.404
73.1077.5402.7298.2762.4678.8602.3319.1902.1189.753
83.9078.7323.4809.5153.18110.1333.02510.4822.77911.075
94.7249.9114.25110.7373.91711.3873.74211.7543.46512.376
105.55211.0795.03711.9464.67112.6264.47913.0094.17413.658
116.39112.2385.83613.1435.44013.8515.23114.2504.89914.925
127.23813.3886.64514.3306.22115.0665.99715.4805.63916.179
138.09314.5327.46415.5087.01316.2716.77416.6996.39217.422
148.95415.6698.29016.6797.81417.4677.56017.9097.15518.654
159.82116.8019.12417.8448.62218.6568.35519.1117.92819.878
1610.69217.9299.96319.0039.43819.8389.15820.3068.70921.094
1711.56819.05210.80920.15610.26021.0149.96821.4949.49722.303
1812.44820.17111.65921.30411.08822.18410.78322.67710.29323.505
1913.33121.28712.51422.44811.92123.34911.60523.85411.09524.701
2014.21822.39913.37323.58912.75924.51012.43125.02611.90225.892
2115.10823.50914.23524.72513.60225.66713.26226.19412.71527.078
2216.00124.61515.10225.85814.44826.82014.09827.35713.53228.259
2316.89725.71915.97126.98715.29827.96914.93728.51714.35429.436
2417.79426.82116.84428.11416.15229.11415.78029.67215.18030.609
2518.69527.92117.71929.23817.00830.25716.62730.82516.01031.778
2619.59729.01818.59730.36017.86831.39617.47731.97416.84332.944
2720.50130.11319.47831.47918.73132.53318.32933.12117.68034.106
2821.40731.20720.36132.59519.59633.66719.18534.26418.52035.265
2922.31532.29921.24633.71020.46434.79820.04435.40519.36336.421
3023.22533.38922.13334.82221.33535.92720.90536.54320.20937.575
3527.79538.81826.59740.35725.71841.54125.24542.20124.47743.304
4032.39644.21631.09945.85330.14647.11229.63247.81228.79748.981
4537.02349.58835.63351.31834.61152.64634.05953.38333.16154.616
5041.67054.94040.19456.75739.10658.15038.51858.92437.56060.216
5546.33660.27544.77662.17443.62663.62943.00464.43741.99065.784
6051.01765.59349.37867.57248.16969.08647.51469.92646.44671.328

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