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+ | == Pairwise t-test == | ||
+ | * we have $n$ groups, $n > 2$ | ||
+ | * we conduct a series of [[Two-Sample t-test]]s to find out which groups are different | ||
+ | * e.g. in post-[[ANOVA]] analysis | ||
+ | |||
+ | |||
+ | === Controlling [[Family-Wise Error Rate]] === | ||
+ | It's important to modify $\alpha$ to avoid [[Type I Errors]] | ||
+ | * when we run many tests, it's inevitable that we make them just by chance | ||
+ | |||
+ | E.g. use [[Bonferroni Correction]] | ||
+ | * use modified confidence level $\alpha^* = \alpha \cdot \cfrac{1}{K}$ | ||
+ | * where for $k$ groups $K= \cfrac{k \cdot (k - 1)}{2}$ | ||
+ | |||
+ | |||
+ | == Sources == | ||
+ | * [[Statistics: Making Sense of Data (coursera)]] | ||
+ | * [[OpenIntro Statistics (book)]] | ||
+ | * http://projectile.sv.cmu.edu/research/public/talks/t-test.htm | ||
+ | |||
+ | [[Category:T-Test]] | ||
+ | [[Category:Statistics]] | ||
+ | [[Category:Statistical Tests]] | ||
+ | [[Category:R]] |
This is a stub. Edit it. |
It's important to modify $\alpha$ to avoid Type I Errors
E.g. use Bonferroni Correction