Mixed Models ANOVA Within-Subjects & Between-Subjects

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Mixed Models ANOVA Mixed Models ANOVA Within-Subjects Within-Subjects & & Between-Subjects Between-Subjects Chapter 14 Chapter 14

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Mixed Models ANOVA Within-Subjects & Between-Subjects. Chapter 14. Research Designs. Between – Between (2 between subjects factors) Mixed Design (1 between, 1 within subjects factor) Within – Within (2 within subjects factors) - PowerPoint PPT Presentation

Transcript of Mixed Models ANOVA Within-Subjects & Between-Subjects

Page 1: Mixed Models ANOVA Within-Subjects  & Between-Subjects

Mixed Models ANOVAMixed Models ANOVAWithin-Subjects Within-Subjects

&&Between-SubjectsBetween-Subjects

Chapter 14Chapter 14

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Research DesignsResearch Designs

Between – Between (2 between subjects factors)Between – Between (2 between subjects factors) Mixed Design (1 between, 1 within subjects factor)Mixed Design (1 between, 1 within subjects factor) Within – Within (2 within subjects factors)Within – Within (2 within subjects factors) The purpose of this experiment was to determine The purpose of this experiment was to determine

the effects of testing mode (treadmill, bike) and the effects of testing mode (treadmill, bike) and gender (male, female) on maximum VOgender (male, female) on maximum VO22..

Testing mode is a within subjects factor with 2 levelsTesting mode is a within subjects factor with 2 levelsGender is a between subjects factor with 2 levelsGender is a between subjects factor with 2 levelsMaximum VOMaximum VO22 is the dependent variable. is the dependent variable.

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The Effects of Gender, Looks, Charisma on AttitudeThe Effects of Gender, Looks, Charisma on Attitude

Create a categorical variable for all Between-Subjects Factors.

Gender (1 – Male, 2 – Female)

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Use GLM – Repeated MeasuresUse GLM – Repeated Measures

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Add Within Subjects FactorsAdd Within Subjects Factors

Click Define

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Options ButtonOptions Button

Check homogeneity of variance if you have a between subjects factor.

Choose the Sidak post hoc test.

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PlotsPlots

Horizontal Axis

Separate Lines

Separate Plots

Personality Looks Gender

Looks Gender Personality

Gender Personality Looks

Personality Looks

Personality Gender

Looks Gender

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Simple EffectsSimple Effects

Click Paste, then Window to view Syntax Window

/EMMEANS=TABLES(gender*Personality) COMPARE(gender) ADJ(SIDAK) /EMMEANS=TABLES(Personality*gender) COMPARE(Personality) ADJ(SIDAK) /EMMEANS=TABLES(gender*Looks) COMPARE(gender) ADJ(SIDAK) /EMMEANS=TABLES(Looks*gender) COMPARE(Looks) ADJ(SIDAK) /EMMEANS=TABLES(Personality*Looks) COMPARE(Personality) ADJ(SIDAK) /EMMEANS=TABLES(Looks*Personality) COMPARE(Looks) ADJ(SIDAK) /EMMEANS=TABLES(gender*Personality*Looks) Compare(gender) ADJ(SIDAK) /EMMEANS=TABLES(Personality*Looks*gender) Compare(Personality) ADJ(SIDAK) /EMMEANS=TABLES(Looks*gender*Personality) Compare(Looks) ADJ(SIDAK)Enter the first interaction term in the Compare ( ).Then switch the order.

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Verify the ModelVerify the Model

A 2 x 3 x 3 repeated measures ANVOVA with two within-subjects factors Personality (high, some, dull) and Looks (attractive, average, ugly) and onebetween-subjects factor Gender (male, female) was used determine the effects of personality,looks and gender on attitude.

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Output: DescriptivesOutput: Descriptives

The groups do NOT have equal Covariance, Box’s Test of Equality F(45,1064) = 1.53, p = .005

Check homogeneity of covariance for mixed models.

Sphericity is not violated

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No main effect for Gender F(1,42) = 2.032, p = .161.Sig. main effect for Gatorade F(2,42) = 20.065, p = .000Sig. interaction between Gender and Gatorade dose F(2,42) = 11.911, p = .000

Per. F(2,36) = 328, p = .000

P x G F(2,36) = 62, p=.000

Look F(2,36) = 423, p=.000

L x G F(2,36)=80, p=.000

P x L F(4,72)=36, p=.000

PxLxG F(4,72)=24, p=.000

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Between Subjects EffectsBetween Subjects Effects

The groups have equal variance.

No difference in gender

F(1,18) = .005, p = .946

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Post hoc for Personality Main EffectPost hoc for Personality Main Effect

Gender F(1,42) = 2.032, p = .161

They are all different from each other

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Post hoc for Looks Main EffectsPost hoc for Looks Main Effects

They are all different from each other

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Simple Effects for Simple Effects for Gender x PersonalityGender x Personality

Males high charisma are different from females with high charisma.

Males low charisma are different from females with low charisma.

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HomeworkHomework

MONDAY 11 / 29 1:00 – 3:00 PM Stat Consulting

In class assignment: analyze Practice File 1 and Practice File 2.