STAT 301 Lecture Notes - Dependent And Independent Variables, Test Statistic, Statistical Hypothesis Testing

• School: CSU
• Department: Statistics
• Course: STAT 301
• Professor: Brett Hunter

Document Summary

The expected cell frequency for cell (i, j) is eij, where eij (total row i)(total column j) We refer to the discrepancy for cell (i, j) as discrepi,j = 2 i,j = (obsij e ij)2. If assumptions hold, 2 ~ 2 (r 1) (c 1) with df = (r 1) (c 1) r = # or rows, c = # of columns. P-value p-value = p ( 2 (r 1) (c 1) 2) The critical value is what the test statistic"s value would be if it had a p-value = . For any hypothesis test, we can compare the critical value to the test statistic to make a decision. We don"t use critical values as often as p-values since the rejection rule changes depending on the alternative hypothesis for most tests. Always have the same rule for a chi-squared test. Reject h0 if 2 test 2 crit. To find 2 crit) = . crit, solve p ( 2 df 2.