SPSS repeated measures ANOVA tests if the means of 3 or more metric variables are all equal in some population.
The simplest repeated measures ANOVA involves 3 outcome variables, all measured on 1 group of cases (often people). Whatever distinguishes these variables (sometimes just the time of measurement) is the within-subjects factor.
SPSS
Analyze - General Linear Model - Repeated Measuers
1. We may freely choose a name for our within-subjects factor.
2. We may also choose a name for our measure: whatever each of the four variables is supposed to reflect.
3. We now select all four variables and move them to the Within-subjects variables box with the arrow to the right.
4. Under Options we'll select Descriptive statistics.
5. Clicking Paste results in the syntax below.
Repeated Measures ANOVA Output - Mauchly’s Test
We now turn to Mauchly's test for the sphericity assumption. As a rule of thumb, sphericity is assumed if Sig. > 0.05.
Repeated Measures ANOVA Output - Within-Subjects Effects
Since our data seem spherical, we'll ignore the Greenhouse-Geisser, Huynh-Feldt and lower bound results in the table below. We'll simply interpret the uncorrected results denoted as “Sphericity Assumed”.
Reporting the Measures ANOVA Result
When reporting a basic repeated-measures ANOVA, we usually report
- the descriptive statistics table
- the outcome of Mauchly's test and
- the outcome of the within-subjects tests.
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