- Fill-in-the-blanks:

In a one-way ANOVA, SStotal is partitioned into 2 components:

(1) _______________ (variance due to the treatment effect) and (2) _______________ (unexplained variance).

We divide SS by their df to get ____________ which represent ________________________________________.

We then calculate the ratio of those MS values and compare it to the _______________ distribution.

Under the null hypothesis, we expect this ratio to equal _______________.

If the null hypothesis is false, this ratio will be _________________________.

The power of a statistical test refers to ____________________________________________________________.

If we want to increase the power of our ANOVA, we could:

(a) ______________________________ our sample size,

(b) ______________________________ our alpha-level, or

(c) ______________________________ the size of MSE.

If MSE is small, our MSR will be ____________________ and we have a better chance of rejecting our null hypothesis.

- The following figures attempt to demonstrate how the total variation is partitioned under one-way, AxB, and AxS (repeated measures) ANOVA. Explain how the AxB and AxS work to increase the power of our test.