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Mixed Models ANOVA Within-Subjects & Between-Subjects Chapter 14
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Research 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 effects of testing mode (treadmill, bike) and gender (male, female) on maximum VO 2. The purpose of this experiment was to determine the effects of testing mode (treadmill, bike) and gender (male, female) on maximum VO 2. Testing mode is a within subjects factor with 2 levels Testing mode is a within subjects factor with 2 levels Gender is a between subjects factor with 2 levels Gender is a between subjects factor with 2 levels Maximum VO 2 is the dependent variable. Maximum VO 2 is the dependent variable.
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The 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 Measures
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Add Within Subjects Factors Click Define
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Options Button Check homogeneity of variance if you have a between subjects factor. Choose the Sidak post hoc test.
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Plots Horizontal Axis Separate Lines Separate Plots PersonalityLooksGender LooksGenderPersonality GenderPersonalityLooks PersonalityLooks PersonalityGender LooksGender
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Simple 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 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 one between-subjects factor Gender (male, female) was used determine the effects of personality, looks and gender on attitude.
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Output: 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 =.000 Sig. 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 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 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 Effects They are all different from each other
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Simple Effects for Gender 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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Homework MONDAY 11 / 29 1:00 – 3:00 PM Stat Consulting In class assignment: analyze Practice File 1 and Practice File 2.
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