I have a few questions about the p-value.
Firstly: Let's say we have a p-value of 0.52 in a contingency table analysis with a sample size of 60. If the sample size would be 90 with the same sample odds ratio, what would the relative size of the p-value for the chi-square test be, compared to the sample of 60? And why??
and secondly: In a regression analysis, if R-squared is 0.28, and we did the analysis again (where sample size stays the same, and R-squared stayed the same) but with more independent variables, what would happen to the obtained p-value ofthe observed test statistic?
p-values sure are tricky things ;)