Module 03 Long Project Session Essay

Module 03 Long Project SessionPART ONE1.       T-TestGroup StatisticsGROUPNMeanStd. DeviationStd.

Error MeanPTEST1875.2526.7689.

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4642865.8828.84710.

199Independent Samples TestLevene’s Test for Equality of Variancest-test for Equality of MeansFSig.tdfSig. (2-tailed)Mean DifferenceStd. Error Difference95% Confidence Interval of the DifferenceLowerUpperPTESTEqual variances assumed.132.722.67414.5119.

37513.913-20.46639.216Equal variances not assumed.

67413.922.5119.37513.913-20.48239.232Equal variances not assumed line will be used for ‘Independent Samples Test’ as Assuming equal variances (Levene’s Test for Equality of Variances) the Sig value is greater than 0.05.

The t-test for Equality of Means is not significant as the Sig. (2-tailed) = 0.511 is greater than 0.05.

2.       RegressionVariables Entered/RemovedbModelVariables EnteredVariables RemovedMethod1GROUPa.Entera. All requested variables entered.b.

Dependent Variable: PTESTModel SummaryModelRR SquareAdjusted R SquareStd. Error of the Estimate1.177a.031-.03827.826a. Predictors: (Constant), GROUPANOVAbModelSum of SquaresdfMean SquareFSig.1Regression351.

5621351.562.454.511aResidual10840.37514774.312Total11191.93715a. Predictors: (Constant), GROUPb.

Dependent Variable: PTESTCoefficientsaModelUnstandardized CoefficientsStandardized CoefficientstSig.BStd. ErrorBeta1(Constant)84.62521.9993.847.002GROUP-9.37513.

913-.177-.674.511a.

Dependent Variable: PTESTThe value of r is equal to 0.177 and the value of r-squared is 0.031. Therefore, 3.1 percentage of variance in the PTEST (dependent variable) accounted for by the GROUP (independent variable).Lower t statistics (-0.674) for GROUP variable indicate that the regression test is not significant (or higher Sig = 0.511, which is greater than 0.

05).The t-statistic for the predictor (GROUP) is equal to the square root of the F-statistic.3.       Oneway ANOVADescriptivesPTESTNMeanStd.

DeviationStd. Error95% Confidence Interval for MeanMinimumMaximumLower BoundUpper Bound1875.2526.7689.46452.8797.6318992865.

8828.84710.19941.7689.991499Total1670.

5627.3156.82956.0185.121499Test of Homogeneity of VariancesPTESTLevene Statisticdf1df2Sig..

132114.722ANOVAPTESTSum of SquaresdfMean SquareFSig.Between Groups351.5621351.

562.454.511Within Groups10840.37514774.

312Total11191.93815ONEWAY ANOVA shows that the test is not significant as the value of Sig = 0.511 is greater than 0.05. Smaller F-statistic indicates that variance between groups is smaller than the variance within them.The descriptive statistics (Mean, Std.

Deviation and Std. Error of Mean) are identical for the t-test and for the One-way ANOVA test.4.       Univariate Analysis of VarianceBetween-Subjects FactorsNGROUP1828SEX1828Descriptive StatisticsDependent Variable:PTESTGROUPSEXMeanStd. DeviationN1174.5038.3714276.0014.

0714Total75.2526.76882158.5012.8194273.2540.

4014Total65.8828.8478Total166.5027.8318274.6228.

0468Total70.5627.31516Tests of Between-Subjects EffectsDependent Variable:PTESTSourceType III Sum of SquaresdfMean SquareFSig.Corrected Model791.

188a3263.729.304.822Intercept79665.062179665.06291.915.000GROUP351.

5621351.562.406.536SEX264.

0621264.062.305.

591GROUP * SEX175.5621175.562.203.661Error10400.75012866.729Total90857.

00016Corrected Total11191.93815a. R Squared = .071 (Adjusted R Squared = -.

162)Estimated Marginal MeansGROUPDependent Variable: PTESTGROUPMeanStd. Error95% Confidence IntervalLower BoundUpper Bound175.25010.

40952.57197.929265.87510.40943.19688.

554The Univariate Analysis of Variance shows that test is not significant. The smaller F-statistics values of GROUP, SEX indicates that SEX and GROUP do not significantly affect PTEST.PART TWOFirst, use CTBS Language NCE Score (interval) as DV, and gender (categorical? coded 0=female, 1=male) as IV? Try some predictive models:1.         ANALYZE: COMPARE MEANS: INDEPENDENT SAMPLES TTEST (remember to specify the two categories of gender)T-TestGroup StatisticsgenderNMeanStd. DeviationStd. Error MeanCTBS Language NCE scorefemale16252.994017.

255161.35569male15446.981418.182351.46518Independent Samples TestLevene’s Test for Equality of Variancest-test for Equality of MeansFSig.tdfSig. (2-tailed)Mean DifferenceStd.

Error Difference95% Confidence Interval of the DifferenceLowerUpperCTBS Language NCE scoreEqual variances assumed.597.4403.016314.0036.012591.

993512.090279.93492Equal variances not assumed3.012310.703.0036.012591.

996162.084909.94029Equal variances not assumed line will be used for ‘Independent Samples Test’ as Assuming equal variances (Levene’s Test for Equality of Variances) the Sig value is greater than 0.

05. The t-test for Equality of Means is significant as the Sig. (2-tailed) = 0.003 is less than 0.05.2.         ANALYZE: COMPARE MEANS: ONEWAY ANOVAOneway ANOVADescriptivesCTBS Language NCE scoreNMeanStd. DeviationStd.

Error95% Confidence Interval for MeanMinimumMaximumLower BoundUpper Boundfemale16252.994017.255161.3556950.316755.

67121.0198.99male15446.981418.182351.4651844.086849.

87601.0198.99Total31650.063817.939211.0091648.078252.04931.

0198.99Test of Homogeneity of VariancesCTBS Language NCE scoreLevene Statisticdf1df2Sig..5971314.440ANOVACTBS Language NCE scoreSum of SquaresdfMean SquareFSig.Between Groups2854.12112854.

1219.097.003Within Groups98517.691314313.751Total101371.

812315ONEWAY ANOVA shows that the test is significant as the value of Sig = 0.003 is less than 0.05. Larger F-statistic indicates that variance between groups is larger than the variance within them.The descriptive statistics (Mean, Std. Deviation and Std. Error of Mean) are identical for the t-test and for the One-way ANOVA test.3.

         REGRESSION : LINEARRegressionVariables Entered/RemovedbModelVariables EnteredVariables RemovedMethod1gendera.Entera. All requested variables entered.b.

Dependent Variable: CTBS Language NCE scoreModel SummaryModelRR SquareAdjusted R SquareStd. Error of the Estimate1.168a.

028.02517.71301a. Predictors: (Constant), genderANOVAbModelSum of SquaresdfMean SquareFSig.1Regression2854.12112854.1219.

097.003aResidual98517.691314313.751Total101371.812315a. Predictors: (Constant), genderb. Dependent Variable: CTBS Language NCE scoreCoefficientsaModelUnstandardized CoefficientsStandardized CoefficientstSig.BStd.

ErrorBeta1(Constant)52.9941.39238.080.000gender-6.0131.

994-.168-3.016.003a. Dependent Variable: CTBS Language NCE scoreThe value of r is equal to 0.168 and the value of r-squared is 0.028. Therefore, 2.

8 percentage of variance in the CTBS Language NCE score (dependent variable) accounted for by the Gender (independent variable).Higher t statistics (-3.016) for gender variable indicate that the regression test is significant (or lower Sig = 0.003, which is less than 0.05). The t-statistic for the predictor (gender) is equal to the square root of the F-statistic.Second, use CTBS Language NCE Score (interval) as DV, and gender (categorical? coded 0=female, 1=male) and engprof2 (categorical, recoded from engprof as 0=no nonEnglishproficiency [engprof=0 or 4], 1=some non-English proficiency [engprof=1, 2, 3], as IV? try as predictive models:4.

         GENERAL LINEAR MODEL : UNIVARIATE [gender and engprof2 are both fixed factors]Univariate Analysis of VarianceBetween-Subjects FactorsValue LabelNgender0female1621male154any non-english proficiency0no1921yes124Descriptive StatisticsDependent Variable:CTBS Language NCE scoregenderany non-english proficiencyMeanStd. DeviationNfemaleno56.375318.17537102yes47.245713.9142260Total52.994017.25516162maleno50.

150017.7221390yes42.525518.0187564Total46.981418.18235154Totalno53.

457218.18610192yes44.809516.27189124Total50.063817.93921316Levene’s Test of Equality of Error VariancesaDependent Variable: CTBS Language NCE scoreFdf1df2Sig.1.7293312.

161Tests the null hypothesis that the error variance of the dependent variable is equal across groups.a. Design: Intercept + gender + engprof2 + gender * engprof2Tests of Between-Subjects EffectsDependent Variable:CTBS Language NCE scoreSourceType III Sum of SquaresdfMean SquareFSig.

Corrected Model8177.200a32725.7339.125.000Intercept724200.8861724200.8862424.504.

000gender2251.68012251.6807.538.006engprof25275.64415275.

64417.662.000gender * engprof242.572142.572.

143.706Error93194.612312298.701Total893388.982316Corrected Total101371.812315a. R Squared = .081 (Adjusted R Squared = .

072)Estimated Marginal MeansGrand MeanDependent Variable:CTBS Language NCE scoreMeanStd. Error95% Confidence IntervalLower BoundUpper Bound49.074.

99747.11351.035The Univariate Analysis of Variance shows that test is significant. The higher F-statistics values of gender and engprof2 indicates that CTBS Language NCE score is significantly affected by gender and any non-English proficiency.5.

         [Multiple] REGRESSION : LINEAR [include interac [interaction (product) of gender and engprof2] along with gender and engprof2 as IVs]RegressionVariables Entered/RemovedbModelVariables EnteredVariables RemovedMethod1any non-english proficiency, gender, interaca.Entera. All requested variables entered.

b. Dependent Variable: CTBS Language NCE scoreModel SummaryModelRR SquareAdjusted R SquareStd. Error of the Estimate1.

284a.081.07217.28296a. Predictors: (Constant), any non-english proficiency, gender, interacANOVAbModelSum of SquaresdfMean SquareFSig.

1Regression8177.20032725.7339.125.000aResidual93194.

612312298.701Total101371.812315a. Predictors: (Constant), any non-english proficiency, gender, interacb. Dependent Variable: CTBS Language NCE scoreCoefficientsaModelUnstandardized CoefficientsStandardized CoefficientstSig.BStd. ErrorBeta1(Constant)56.

3751.71132.944.000interac1.5053.987.

034.378.706gender-6.2252.499-.174-2.491.

013any non-english proficiency-9.1302.812-.

249-3.247.001a. Dependent Variable: CTBS Language NCE scoreThe value of r is equal to 0.

284 and the value of r-squared is 0.081. Therefore, 8.

1 percentage of variance in the CTBS Language NCE score (dependent variable) accounted for by the Gender, any non-English proficiency, and interac (independent variables).The higher F-statistics values of gender and engprof2 indicates that CTBS Language NCE score is significantly affected by gender and any non-English proficiency.ONE MORE ANALYSISWe will check whether, there is a correlation exists between gender and  CTBS Language NCE score.CorrelationsDescriptive StatisticsMeanStd.

DeviationNgender.49.501316CTBS Language NCE score50.063817.93921316CorrelationsgenderCTBS Language NCE scoregenderPearson Correlation1.000-.168**Sig.

(2-tailed).003N316.000316CTBS Language NCE scorePearson Correlation-.168**1.000Sig. (2-tailed).

003N316316.000**. Correlation is significant at the 0.01 level (2-tailed).For a two-tailed test for significance at ? = .05, the Sig (2-tailed) is equal to 0.003 that indicates  there is correlation exists between gender and  CTBS Language NCE score.;

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