ANOVA
Summary Analysis of Variance
Loes van de Pas
,Inhoud
General information...............................................................................................................................4
When to use what test?.....................................................................................................................4
Reporting with or without 0?.............................................................................................................5
Post Hoc vs Planned Contrast.............................................................................................................5
Assumptions not met?........................................................................................................................5
1. Multiple Regression Analysis (Hierarchical Regression)......................................................................6
1.1 Introduction..................................................................................................................................6
1.2 Method.........................................................................................................................................6
1.2.1 Reliability analysis..................................................................................................................6
1.3 Results..........................................................................................................................................7
1.3.1 General..................................................................................................................................7
1.3.2 Checking assumptions...........................................................................................................7
1.3.3 Interpretation of the analysis................................................................................................9
1.4 Checklist Multiple Regression Analysis.......................................................................................11
2. Mediation Analysis...........................................................................................................................12
2.1 Introduction................................................................................................................................12
2.2 Method.......................................................................................................................................12
2.2.1 Reliability analysis................................................................................................................12
2.3 Results........................................................................................................................................12
2.3.1 General................................................................................................................................12
2.3.2 Checking assumptions.........................................................................................................13
2.3.3 Interpretation of the analysis..............................................................................................15
2.4 Checklist Mediation Analysis......................................................................................................17
3. Factorial ANOVA...............................................................................................................................18
3.1 Introduction................................................................................................................................18
3.2 Method.......................................................................................................................................18
3.2.1 Reliability analysis................................................................................................................18
3.3 Results........................................................................................................................................19
3.3.1 General................................................................................................................................19
3.3.2 Checking assumptions.........................................................................................................19
3.3.3 Interpretation of the analysis..............................................................................................20
3.4 Checklist Factorial ANOVA..........................................................................................................24
4. Moderation Analysis.........................................................................................................................25
4.1 Introduction................................................................................................................................25
2
, 4.2 Method.......................................................................................................................................25
4.2.1 Reliability analysis................................................................................................................25
4.3 Results........................................................................................................................................26
4.3.1 General................................................................................................................................26
4.3.2 Checking assumptions.........................................................................................................26
4.3.3 Interpretation of the analysis..............................................................................................28
4.4 Checklist Moderation Analysis....................................................................................................30
5. Repeated Measures ANOVA.............................................................................................................31
5.1 Introduction................................................................................................................................31
5.2 Method.......................................................................................................................................31
5.2.1 Reliability Analysis...............................................................................................................31
5.3 Results........................................................................................................................................31
5.3.1 General................................................................................................................................31
5.3.2 Checking assumptions.........................................................................................................32
5.3.3 Interpretation of the analysis..............................................................................................33
5.4 Checklist Repeated Measures ANOVA........................................................................................35
6. Mixed ANOVA...................................................................................................................................36
6.1 Introduction................................................................................................................................36
6.2 Method.......................................................................................................................................36
6.2.1 Reliability Analysis...............................................................................................................36
6.3 Results........................................................................................................................................36
6.3.1 General................................................................................................................................36
6.3.2 Checking assumptions.........................................................................................................37
6.3.3 Interpretation of the analysis..............................................................................................38
6.4 Checklist Mixed ANOVA..............................................................................................................40
3
, General information
When to use what test?
How many What type How many What type If a If a categorical What test to
outcome of predictors? of categorical predictor (IV), use?
variables? outcome? (IV) predictor? predictor within/between
(DV) (IV) (IV), how or both?
(DV) many
categories?
1 Continuous 1 Continuous - - Simple
regression
1 Continuous >1 Continuous - - Multiple
regression
1 Continuous 2 Continuous - - Mediation
(PROCESS)
1 Continuous >1 Categorical 2 or > 2 Between Factorial
ANOVA
1 Continuous 2 Continuous - Between Moderation
(PROCESS)
1 Continuous 1 or > 1 Categorical 2 or > 2 Within Repeated
Measures
1 Continuous >1 Categorical 2 or > 2 Between + within Mixed
ANOVA
4
Summary Analysis of Variance
Loes van de Pas
,Inhoud
General information...............................................................................................................................4
When to use what test?.....................................................................................................................4
Reporting with or without 0?.............................................................................................................5
Post Hoc vs Planned Contrast.............................................................................................................5
Assumptions not met?........................................................................................................................5
1. Multiple Regression Analysis (Hierarchical Regression)......................................................................6
1.1 Introduction..................................................................................................................................6
1.2 Method.........................................................................................................................................6
1.2.1 Reliability analysis..................................................................................................................6
1.3 Results..........................................................................................................................................7
1.3.1 General..................................................................................................................................7
1.3.2 Checking assumptions...........................................................................................................7
1.3.3 Interpretation of the analysis................................................................................................9
1.4 Checklist Multiple Regression Analysis.......................................................................................11
2. Mediation Analysis...........................................................................................................................12
2.1 Introduction................................................................................................................................12
2.2 Method.......................................................................................................................................12
2.2.1 Reliability analysis................................................................................................................12
2.3 Results........................................................................................................................................12
2.3.1 General................................................................................................................................12
2.3.2 Checking assumptions.........................................................................................................13
2.3.3 Interpretation of the analysis..............................................................................................15
2.4 Checklist Mediation Analysis......................................................................................................17
3. Factorial ANOVA...............................................................................................................................18
3.1 Introduction................................................................................................................................18
3.2 Method.......................................................................................................................................18
3.2.1 Reliability analysis................................................................................................................18
3.3 Results........................................................................................................................................19
3.3.1 General................................................................................................................................19
3.3.2 Checking assumptions.........................................................................................................19
3.3.3 Interpretation of the analysis..............................................................................................20
3.4 Checklist Factorial ANOVA..........................................................................................................24
4. Moderation Analysis.........................................................................................................................25
4.1 Introduction................................................................................................................................25
2
, 4.2 Method.......................................................................................................................................25
4.2.1 Reliability analysis................................................................................................................25
4.3 Results........................................................................................................................................26
4.3.1 General................................................................................................................................26
4.3.2 Checking assumptions.........................................................................................................26
4.3.3 Interpretation of the analysis..............................................................................................28
4.4 Checklist Moderation Analysis....................................................................................................30
5. Repeated Measures ANOVA.............................................................................................................31
5.1 Introduction................................................................................................................................31
5.2 Method.......................................................................................................................................31
5.2.1 Reliability Analysis...............................................................................................................31
5.3 Results........................................................................................................................................31
5.3.1 General................................................................................................................................31
5.3.2 Checking assumptions.........................................................................................................32
5.3.3 Interpretation of the analysis..............................................................................................33
5.4 Checklist Repeated Measures ANOVA........................................................................................35
6. Mixed ANOVA...................................................................................................................................36
6.1 Introduction................................................................................................................................36
6.2 Method.......................................................................................................................................36
6.2.1 Reliability Analysis...............................................................................................................36
6.3 Results........................................................................................................................................36
6.3.1 General................................................................................................................................36
6.3.2 Checking assumptions.........................................................................................................37
6.3.3 Interpretation of the analysis..............................................................................................38
6.4 Checklist Mixed ANOVA..............................................................................................................40
3
, General information
When to use what test?
How many What type How many What type If a If a categorical What test to
outcome of predictors? of categorical predictor (IV), use?
variables? outcome? (IV) predictor? predictor within/between
(DV) (IV) (IV), how or both?
(DV) many
categories?
1 Continuous 1 Continuous - - Simple
regression
1 Continuous >1 Continuous - - Multiple
regression
1 Continuous 2 Continuous - - Mediation
(PROCESS)
1 Continuous >1 Categorical 2 or > 2 Between Factorial
ANOVA
1 Continuous 2 Continuous - Between Moderation
(PROCESS)
1 Continuous 1 or > 1 Categorical 2 or > 2 Within Repeated
Measures
1 Continuous >1 Categorical 2 or > 2 Between + within Mixed
ANOVA
4
