Case processing summary, minority classification category tabulation, and test of independence

Figure 1. Output tables with case processing summary, minority classification category tabulation, and test of independence
Output tables with case processing summary, minority classification category tabulation, and test of independence

The output includes a 2 by 2 contingency table. Because the grand total is fixed under the sampling scheme, the table cell counts follow a joint multinomial distribution. The Bayes factor is 1.834, which indicates that the observed counts are approximately 1.8 times more likely under the null hypothesis that gender and minority classification are independent of each other. Three frequentist statistics are output in terms of Pearson Chi-Square test, continuity correction test, and likelihood ratio test. All of the tests provide an associated p-value > 0.05, which indicates a failure to reject the null hypothesis of independence of the two factors.

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