30Multiple Proportions: Goodness of Fit
Rather than eyeballing a histogram or a continuous probability distribution, let's look at the Table 30.1 that tells us the value that corresponds to various -values and various degrees of freedom. Our value of 6.67 with two degrees of freedom corresponds to a -value between 0.05 and 0.025. (A statistics calculator gives us the more precise -value of 0.0356.) Notice that if there were three degrees of freedom, then the -value would be between 0.10 and 0.05. These -values mirror what we determined earlier with the simulation histograms.
Table 30.1 Chi-squared table.
-Value | ||||||||||
0.25 | 0.20 | 0.15 | 0.10 | 0.05 | 0.025 | 0.02 | 0.01 | 0.005 | 0.0025 | 0.001 ... |
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