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Illuminating Statistical Analysis Using Scenarios and Simulations by Jeffrey E. Kottemann

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30Multiple Proportions: Goodness of Fit

Rather than eyeballing a histogram or a continuous probability distribution, let's look at the img Table 30.1 that tells us the img value that corresponds to various img-values and various degrees of freedom. Our img value of 6.67 with two degrees of freedom corresponds to a img-value between 0.05 and 0.025. (A statistics calculator gives us the more precise img-value of 0.0356.) Notice that if there were three degrees of freedom, then the img-value would be between 0.10 and 0.05. These img-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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