# chi-square test to check relationshio between season and win/loss

Given records for a team in 2 semesters Fall and Spring. We want to check if there is a relationship between the semester "Fall or Spring" and result "win or loss". Can chi-square test be used? Example of data

Fall , Spring
win , loss
win , loss
win , loss
win , win
win, win
loss, loss
loss, win
loss, loss


Many thanks

I think so. Make a 2x2 contingency table: Fall by rows, Spring by columns. Do the tabulations in each cell. The expected numbers, assuming independence, ought to be $.25N$, where $N$ is the number of pairs. Your critical $\chi^2$ should have 1 d.f.
• @tnaser: You conclude that the two variables are statistically dependent, correct. Then, if you want to dig deeper, form a test of proportions (a two sample proportion test), eg, $H_a: p_{\text{Fall Wins}} > p_{\text{Spring Wins}}$ – baudolino Apr 3 '13 at 2:31