Chi-Square Distribution and p value

Chi-Square Distribution and p value, Understanding Chi-Square Statistics and Shaded Regions in Tables

In various statistical analyses, tables often display chi-square (χ²) statistics to represent the differences between observed and expected values.

The shaded region in these tables signifies the column indexes and holds significance in interpreting the results.

The chi-square distribution is a probability distribution used to determine the critical and p-values associated with these statistics.

Normal Distribution in R » Data Science Tutorials

Critical values help identify the significance level at which the observed results deviate from the expected values, while p-values quantify the probability of observing such deviations by chance.

By understanding the chi-square distribution and its relationship with shaded regions in tables, researchers can better assess the statistical significance of their findings and draw more informed conclusions from their data.

dfA=0.0050.0100.0250.050.100.250.500.750.900.950.9750.990.995
10.0000390.000160.000980.00390.01580.1020.4551.322.713.845.026.637.88
20.01000.02010.05060.1030.2110.5751.392.774.615.997.389.2110.6
30.07170.1150.2160.3520.5841.212.374.116.257.819.3511.312.8
40.2070.2970.4840.7111.061.923.365.397.789.4911.113.314.9
50.4120.5540.8311.151.612.674.356.639.2411.112.815.116.7
60.6760.8721.241.642.203.455.357.8410.612.614.416.818.5
70.9891.241.692.172.834.256.359.0412.014.116.018.520.3
81.341.652.182.733.495.077.3410.213.415.517.520.122.0
91.732.092.703.334.175.98.3411.414.716.919.021.723.6
102.162.563.253.944.876.749.3412.516.018.320.523.225.2
112.603.053.824.575.587.5810.313.717.319.721.924.726.8
123.073.574.405.236.308.4411.314.818.521.023.326.228.3
133.574.115.015.897.049.312.316.019.822.424.727.729.8
144.074.665.636.577.7910.213.317.121.123.726.129.131.3
154.605.236.267.268.5511.014.318.222.325.027.530.632.8
165.145.816.917.969.3111.915.319.423.526.328.832.034.3
175.706.417.568.6710.112.816.320.524.827.630.233.435.7
186.267.018.239.3910.913.717.321.626.028.931.534.837.2
196.847.638.9110.111.714.618.322.727.230.132.936.238.6
207.438.269.5910.912.415.519.323.828.431.434.237.640.0
218.038.9010.311.613.216.320.324.929.632.735.538.941.4
228.649.5411.012.314.017.221.326.030.833.936.840.342.8
239.2610.211.713.114.818.122.327.132.035.238.141.644.2
249.8910.912.413.815.719.023.328.233.236.439.443.045.6
2510.511.513.114.616.519.924.329.334.437.740.644.346.9
2611.212.213.815.417.320.825.330.435.638.941.945.648.3
2711.812.914.616.218.121.726.331.536.740.143.247.049.6
2812.513.615.316.918.922.727.332.637.941.344.548.351.0
2913.114.316.017.719.823.628.333.739.142.645.749.652.3
3013.815.016.818.520.624.529.334.840.343.847.050.953.7
3114.515.717.519.321.425.430.335.941.445.048.252.255.0
3215.116.418.320.122.326.331.337.042.646.249.553.556.3
3315.817.119.020.923.127.232.338.143.747.450.754.857.6
3416.517.819.821.724.028.133.339.144.948.652.056.159.0
3517.218.520.622.524.829.134.340.246.149.853.257.360.3
3617.919.221.323.325.630.035.341.347.251.054.458.661.6
3718.620.022.124.126.530.936.342.448.452.255.759.962.9
3819.320.722.924.927.331.837.343.549.553.456.961.264.2
3920.021.423.725.728.232.738.344.550.754.658.162.465.5
4020.722.224.426.529.133.739.345.651.855.859.363.766.8
4121.422.925.227.329.934.640.346.752.956.960.665.068.1
4222.123.726.028.130.835.541.347.854.158.161.866.269.3
4322.924.426.829.031.636.442.348.855.259.363.067.570.6
4423.625.127.629.832.537.443.349.956.460.564.268.771.9
4524.325.928.430.633.438.344.351.057.561.765.470.073.2
dfA=0.0050.0100.0250.050.100.250.500.750.900.950.9750.990.995

Causal Conclusions and Control of Confounding Variables (finnstats.com)

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