## Mixed ANOVAs

## 2x2 Mixed ANOVA (i.e., two factors/IVs, each with 2 levels)

[Error Graph]

Figure 1. Mean <DV> and Confidence Intervals for <within-subjects factor> and <between-subjects factor>

*Descriptive Statistics*

<General statement of pattern>

<Report means>

<Report Confidence Intervals if required>

*If Mauchly's Test of Sphericity is > 0.05*

A 2 x 2 mixed ANOVA revealed a non/significant main effect of <within-subjects factor> at the 5% level, f(<df: Sphericity Assumed IV, Sphericity Assumed Error>) = <F>, p = <Sig.> (one/two-tailed). *If Significant* The Global Effect size using Partial Eta Squared was <Partial Eta Squared>, which is a small/medium/large effect. The observed power was <Observed Powerb>, which is weak/moderate/strong. The main effect of <between-subjects factor> was non/significant, f(<source ⤑ IV, source ⤑ Error>) = <F>, p = <Sig.> (one/two-tailed). *If Significant* The Global Effect size using Partial Eta Squared was <Partial Eta Squared>, which is a small/medium/large effect. The observed power was <Observed Powerb>, which is weak/moderate/strong.

*If Mauchly's Test of Sphericity is < 0.05*

A 2 x 2 mixed ANOVA revealed a non/significant main effect of <within-subjects factor> at the 5% level, f(<df: Greenhouse Geisser IV, Greenhouse Geisser Error>) = <F>, p = <Sig.> (one/two-tailed). *If Significant* The Global Effect size using Partial Eta Squared was <Partial Eta Squared>, which is a small/medium/large effect. The observed power was <Observed Powerb>, which is weak/moderate/strong. The main effect of <between-subjects factor> was non/significant, f(<source ⤑ IV, source ⤑ Error>) = <F>, p = <Sig.> (one/two-tailed). *If Significant* The Global Effect size using Partial Eta Squared was <Partial Eta Squared>, which is a small/medium/large effect. The observed power was <Observed Powerb>, which is weak/moderate/strong.

*The Interaction*

The interaction between <IV-1> and <IV-2> was non/significant at the 5% level f(<source: within-subjects-factor*between-subjects-factor, Error>) = <F>, p = <Sig.>). *If Significant* The Global Effect size using Partial Eta Squared was <Partial Eta Squared>, which is a small/medium/large effect. The observed power was <Observed Powerb>, which is weak/moderate/strong.

[Interaction Plot]

Figure 10. Interaction Plot for <within-subjects factor> and <between-subjects factor>

<Summarise the effect between the four points on the interaction plot>

*Follow-up Tests: Use paired and independent t-tests as appropriate*

*NB Apply Bonferroni Correction*

To investigate the significant interaction, 4 follow-up t-tests were conducted. There was a non/significant difference between <L1 of IV-1> and <L2 of IV-1> when participants were in <L1 of IV-2>, (t(<df>) = <t>, p </> 0.013), *if significant* with the <dv> significantly higher/lower for <L1 of IV-1> than <L2 of IV-1>. The effect size was small/medium/large (d = <(mean 1 – mean 3) ÷ ((SD1 + SD3) ÷ 2)>).

<Repeat for all four comparisons in a continuous paragraph>