Name_____________________________ Ψ 420 Ainsworth Psy 420 – Midterm 1 Part 2 – In lab (50 points total) Your 420 professor decides that he wants to find out how much impact amount of study time has on the first midterm. He randomly assigns students to study for 10 hours, 8 hours, 6 hours, 4 hours and 2 hours; recording each student’s midterm grade. Results are shown below. 10 hours 8 hours 6 hours 4 hours 2 hours 83 57 24 20 21 67 67 43 37 17 88 69 30 36 31 97 68 55 47 2 74 73 32 36 25 89 67 46 24 29 93 72 43 34 28 65 48 31 20 26 66 60 19 30 21 86 59 40 30 27 Mean 80.80 64.00 36.30 31.40 22.70 SD 11.87 7.82 10.98 8.45 8.42 SPSS output for 420 midterm study UNIANOVA score BY stdytime /CONTRAST (stdytime)=special (1 -1 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 1 -1) /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /PRINT = ETASQ HOMOGENEITY /CRITERIA = ALPHA(.05) /DESIGN = stdytime . Between-Subjects Factors10 hours78 hours76 hours74 hours72 hours712345STDYTIMEValue LabelN Levene's Test of Equality of Error VariancesaDependent Variable: SCORE1.202430.331Fdf1df2Sig.Tests the null hypothesis that the error variance of thedependent variable is equal across groups.Design: Intercept+STDYTIMEa.Name_____________________________ Ψ 420 Ainsworth Tests of Between-Subjects EffectsDependent Variable: SCORE18752.686a44688.17153.763.000.87884919.314184919.314973.845.000.97018752.68644688.17153.763.000.8782616.0003087.200106288.0003521368.68634SourceCorrected ModelInterceptSTDYTIMEErrorTotalCorrected TotalType III Sumof SquaresdfMean SquareFSig.Partial EtaSquaredR Squared = .878 (Adjusted R Squared = .861)a. Custom Hypothesis Tests Contrast Results (K Matrix)16.857016.8574.991.0026.66327.05128.571028.5714.991.00018.37838.7655.57105.5714.991.273-4.62215.76511.571011.5714.991.0271.37821.765Contrast EstimateHypothesized ValueDifference (Estimate - Hypothesized)Std. ErrorSig.Lower BoundUpper Bound95% Confidence Intervalfor DifferenceContrast EstimateHypothesized ValueDifference (Estimate - Hypothesized)Std. ErrorSig.Lower BoundUpper Bound95% Confidence Intervalfor DifferenceContrast EstimateHypothesized ValueDifference (Estimate - Hypothesized)Std. ErrorSig.Lower BoundUpper Bound95% Confidence Intervalfor DifferenceContrast EstimateHypothesized ValueDifference (Estimate - Hypothesized)Std. ErrorSig.Lower BoundUpper Bound95% Confidence Intervalfor DifferenceSTDYTIME Special ContrastComp 1Comp 2Comp 3Comp 4SCOREDependentVariableName_____________________________ Ψ 420 Ainsworth Questions referring to the 420 Midterm Experiment 1. Do the five groups meet the homogeneity of variance assumption? How do you know? (2 points) 2. Does amount of study time affect midterm scores? How do you know? (2 points) 3. Are the comparisons orthogonal? Show how you came to your conclusion. (2 points) 4. As a planned comparison, does studying for 4 hours improve your score when compared to only 2 hours? Explain your answer. (1 point) 5. Is 4 hours of study significantly different than 2 hours of study after a Tukey adjustment? Show your work. (3 points)Name_____________________________ Ψ 420 Ainsworth A research is interest in whether different stats courses offered at CSUN aversely affect quality of life for students enrolled. The researcher randomly selected 5 students from each of the following courses: Psy 420, Psy 524 and Psy 520. Results and layout for a regression analysis are listed below, scores are on a scale of 1 to 10 with 10 meaning better quality of life. y x1 x2 420 9 -1 -1 8 -1 -1 8 -1 -1 8 -1 -1 7 -1 -1 524 6 -1 1 7 -1 1 7 -1 1 8 -1 1 6 -1 1 520 3 2 0 3 2 0 3 2 0 2 2 0 3 2 0 Output for Stat Class Study Variables Entered/RemovedbX2, X1a.EnterModel1Variables EnteredVariablesRemovedMethodAll requested variables entered.a. Dependent Variable: Yb. Model Summary.964a.930.918.683Model1RR SquareAdjusted R SquareStd. Error ofthe EstimatePredictors: (Constant), X2, X1a. ANOVAb74.133237.06779.429.000a5.60012.46779.73314RegressionResidualTotalModel1Sum of SquaresdfMean SquareFSig.Predictors: (Constant), X2, X1a. Dependent Variable: Yb.Name_____________________________ Ψ 420 Ainsworth Coefficientsa5.867.17633.261.000-1.533.125-.941-12.294.000-.600.216-.212-2.777.017(Constant)X1X2Model1BStd. ErrorUnstandardized CoefficientsBetaStandardizedCoefficientstSig.Dependent Variable: Ya. Questions related to the Stat Course Study 6. Does quality of life differ for the three statistics courses? Explain. (2 points) 7. What is the η2 value for the effect of statistics classes? (2 points) 8. What is the predicted score for the first subject in the 420 course? Show how you got the answer. (2 points) 9. Is quality of life statistically worse for students in the 524 course when compared to the 420 course? How do you know? (2 points) 10. How do you interpret the B for X1 (-1.533)? The constant (5.867)? (2 points)Name_____________________________ Ψ 420 Ainsworth 11. You are an experimenter trying to test the effect of different disorders (Aspergers, Pervasive Developmental Disorder, Autism) and different types of behavioral therapy (Floor time, Discrete Trials, Pivotal Response Training) on length of eye contact of each child (measured in seconds). 9 children with each disorder were randomly assigned to one of the three treatments (27 subjects total). Set up the chart below to do an ANOVA through regression for this data; just set it up, do not proceed to the analysis (20 points) A B Y Aspergers FT 2 1 2 DTT 3 4 3 PRT 2 2 1 Pervasive DD FT 3 4 4 DTT 2 4 3 PRT 1 2 2 Autism FT 1 0 1 DTT 3 3 3 PRT 1 1 1 Sum 59 Sum Sq 163Name_____________________________ Ψ 420 Ainsworth Output for the Disorders by Treatment study Between-Subjects FactorsAspergers9PervasiveDevelopmental Disorder9Autism9Floortime9Discrete TrialTraining9PivotalResponseTraining91.002.003.00DISORDER1.002.003.00TREATMNTValue LabelN Descriptive StatisticsDependent Variable: