Reporting Results from the Chi Square Test of Independence



The results for the example on the effects of the early childhood intervention example could be reported as follows:
The proportion of students from the early-intervention group who graduated from high school was 0.86 whereas the proportion from the control group who graduated was only 0.52. The difference in proportions is significant, χ²(1, N = 167) = 22.01, p < 0.001.
The experiment on the effect of the anti-anxiety drug on chess playing could be reported as:
The number of subjects winning,losing,and drawing as a function of drug condition is shown in Figure 1. Although subjects receiving the drug performed slightly worse than subjects not receiving the drug, the difference was not significant, χ²(2, N = 70) = 3.52, p = 0.17.