# How do you write up the results of a repeated measures ANOVA?

## How do you write up the results of a repeated measures ANOVA?

When reporting the results of a repeated measures ANOVA, we always use the following general structure:

- A brief description of the independent and dependent variable.
- The overall F-value of the ANOVA and the corresponding p-value.

**How do you calculate F ratio between subjects ANOVA?**

F ratio. Each F ratio is computed by dividing the MS value by another MS value. The MS value for the denominator depends on the experimental design. For two-way ANOVA with no repeated measures: The denominator MS value is always the MSresidual.

### How many separate F-ratios are used in a two-factor Anova?

four separate F-ratios. Two independent variables (i.e., factors) are said to interact when _______________________. A. the effect of one independent variable depends on the levels of the second independent variable.

**How do you find the F value in ANOVA table?**

The F statistic is in the rightmost column of the ANOVA table and is computed by taking the ratio of MSB/MSE.

#### How is the F statistic in an ANOVA test calculated?

Find the F Statistic (the critical value for this test). The F statistic formula is: F Statistic = variance of the group means / mean of the within group variances. You can find the F Statistic in the F-Table.

**How do you report the F-statistic from a repeated measures ANOVA?**

We report the F -statistic from a repeated measures ANOVA as: which for our example would be: F (2, 10) = 12.53, p = .002 This means we can reject the null hypothesis and accept the alternative hypothesis. As we will discuss later, there are assumptions and effect sizes we can calculate that can alter how we report the above result.

## What is the difference between repeated measures and between-subjects F-distribution?

So, the F F -distributions for the repeated measures and between-subjects designs are actually different F F -distributions, because they have different degrees of freedom. Let’s do a couple simulations to see some the differences between the ANOVA for a repeated measures design, and the ANOVA for a between-subjects design.

**What are the special properties of repeated measures ANOVAs?**

Repeated Measures ANOVAs have some special properties that are worth knowing about. The main special property is that the error term used to for the F F -value (the MSE in the denominator) will always be smaller than the error term used for the F F -value the ANOVA for a between-subjects design.

### Is the dependent variable normally distributed in repeated measures ANOVA?

Even though the repeated measures ANOVA is fairly robust to violations of normality, the dependent variable should be approximately normally distributed for each level of the independent variable. MULTIVARIATE ASSUMPTIONS