What is a family of comparisons following two-way ANOVA with three or more columns?
Prism 4 and 5 only offer two kinds of comparison. Within each row, it can compare each mean to every other mean on that row. Or it can compare every mean to the control mean (usually column A) on that row. Multiple comparison calculations take into account the entire a family of comparisons, so the 95% confidence level and 5% significance level applies to the entire family. When the family of comparisons is large, it is requires a large difference to be considered statistically significant. Thus it is essential to carefully define the meaning of “family”.
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