Analysis of variance: variably complex

To compare two groups, we described how the t test is used (Drummond & Tom, 2011a,b).To compare more than two groups, we would use a different test, analysis of variance (ANOVA).We start with a premise very similar to the logic of the t test: is it possible that these groups could have been sampled from a single population?A variety of forms of analysis of variance exist, and the test can be used (and misused!) in different ways.Some of these variants are very useful in the analysis of common experimental designs, when more than one intervention is used.To appreciate the different types of test of this sort, we will go back to the jumping frogs that we discussed before (Drummond & Tom, 2011a).Let's suppose that we have a random sample of 30 frogs from California and also have 30 frogs sampled at random from Texas, and 30 from Ohio.We want