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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Document preview page 1

Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 1

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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach

A statistical analysis using MANOVA to examine treatment and gender effects on emotion.

Daniel Mitchell
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 1 preview imageAnalysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVAApproach1. What are the independent variables in this study? What are the dependent variables?Independentvariables:TREATMENT, GENDERDependentvariables:EMOTION, WORRY2. Why is a factorial MANOVA appropriate to use for this research design?There are two reasons why MANOVA is better for this research design:(1) MANOVA is a more powerful statistical technique because it is better able to detectdifferences when such difference do exist, when compared to a series of ANOVAS.(2) MANOVA provides a way to control inflated type I error.3. Did you find any errors that the researcher made when setting up the SPSS data file(don't forget to check the variable view)? If so, what did you find? How did you correct it?HINT:Yes, there are coding errors for Measures.Treatment and Gender variables should be nominal, not ordinal.The Emotion and Worry variables are not labeled.4. Perform Initial Data Screening. What did you find regarding missing values, univariateoutliers, multivariate outliers, normality?HINT:Revisit instructions from last module's readings on how to compute Mahalanobisdistance and then analyze for multivariate outliers.MISING VALUES:There are no missing values.Univariate StatisticsNMeanStd.DeviationMissingNo. of ExtremesaCountPercentLowHighTreatment1002.00.8290.000Gender100.50.5030.000Emotion10027.6413.9770.000
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 2 preview image
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 3 preview imageWorry10034.888.9850.010a.Number of cases outside the range (Q1-1.5*IQR, Q3 + 1.5*IQR).OUTLIERS.From the box plot, there is one outlier for WORRY. Observation No. 96, value= 8.Residuals StatisticsaMinimumMaximumMeanStd.DeviationNPredicted Value-.441.19.50.432100Std. Predicted Value-2.1681.591.0001.000100Standard Error ofPredicted Value.028.092.051.011100
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 4 preview imageAdjusted PredictedValue-.461.20.50.433100Residual-.673.504.000.257100Std. Residual-2.5821.934.000.985100Stud. Residual-2.6191.975-.0011.005100Deleted Residual-.692.526.000.268100Stud. Deleted Residual-2.7032.006-.0021.016100Mahal. Distance.11611.3872.9701.859100Cook's Distance.000.132.011.018100Centered LeverageValue.001.115.030.019100a. Dependent Variable: Gender
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 5 preview imageoutlierTests of NormalityKolmogorov-SmirnovaShapiro-WilkStatisticdfSig.StatisticdfSig.Emotion.095100.028.969100.017Worry.085100.069.986100.366a. LillieforsSignificance CorrectionEMOTION is not normal,p = 0.028 < 0.05WORRY is normal,p = 0.069 > 0.05Outlier StatisticsaCase NumberStatisticMahal.Distance19611.3872398.1733717.761477.5865577.431636.373716.0498225.5649955.40010685.382a. Dependent Variable: Gender
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Analysis of the Effects of Treatment and Gender on Emotion and Worry: A Factorial MANOVA Approach - Page 6 preview image5. Perform a factorial MANOVA on the data. Before interpreting the multivariate results ofthe MANOVA, check outcomes that test otherassumptions for this statistic: equality ofcovariance matrices (see Box's Test) and sufficient correlation among the DVs (seeBartlett's Test of Sphericity). Also check the results of the Levene's Test of Equality of ErrorVariances to evaluate that assumption for the univariate ANOVAs that are run and show inthe Tests of Between-Subjects Effects output. What have you found about whether the datameet these additional assumptions for the MANOVA and follow-up ANOVAs? Explain.HINTS:• Once in the Options box, remember to check box for "Residual SSCP matrix" to get resultsfor the Bartlett's test.• Also, remember to ask for post hoc tests for Treatment because there are more than twoconditions. Profile plots also help with visualizing interactions.Equality of covariance matrices (Box's Test)Box's Test of Equality of Covariance MatricesaBox's M12.642F.983df112df27143.492Sig..463Tests the null hypothesis that the observed covariance matrices of the dependent variablesare equalacross groups.a. Design: Intercept + Treatment + Gender + Treatment * GenderSufficient correlation among the DVs (Bartlett's Test of Sphericity)Bartlett's Test of SphericityaLikelihood Ratio.000Approx. Chi-Square51.982df2Sig..000
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