CORRELATIONS /VARIABLES=HS_Grades MathAchv FathEduc /PRINT=TWOTAIL NOSIG /STATISTICS DESCRIPTIVES /MISSING=LISTWISE .CorrelationsDescriptive Statistics5.71 1.592 7512.5645 6.67031 752.0000 .82199 75Grades in High SchoolMath Achievement TestFather's Education LevelMean Std. Deviation NCorrelationsa1 .439** .413**. .000 .000.439** 1 .449**.000 . .000.413** .449** 1.000 .000 .Pearson CorrelationSig. (2-tailed)Pearson CorrelationSig. (2-tailed)Pearson CorrelationSig. (2-tailed)Grades in High SchoolMath Achievement TestFather's Education LevelGrades inHigh SchoolMathAchievementTestFather'sEducationLevelCorrelation is significant at the 0.01 level (2-tailed).**. Listwise N=75a. MANOVA ExamplePage 1GLM HS_Grades MathAchv BY FathEduc /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /POSTHOC = FathEduc ( TUKEY GH ) /PRINT = DESCRIPTIVE ETASQ HOMOGENEITY /CRITERIA = ALPHA(.025) /DESIGN = FathEduc .General Linear ModelBetween-Subjects FactorsHS grad orless25SomeCollege25BS or More 251.002.003.00Father'sEducationLevelValue Label NDescriptive Statistics5.16 1.375 255.20 1.555 256.76 1.332 255.71 1.592 758.4134 5.49859 2513.5733 5.21092 2515.7067 7.10659 2512.5645 6.67031 75Father's Education LevelHS grad or lessSome CollegeBS or MoreTotalHS grad or lessSome CollegeBS or MoreTotalGrades in High SchoolMath Achievement TestMean Std. Deviation NMANOVA ExamplePage 2Box's Test of Equality of Covariance Matricesa4.572.7316129201.2.624Box's MFdf1df2Sig.Tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups.Design: Intercept+FathEduca. Multivariate Testsc.945 613.377a2.000 71.000 .000 .945.055 613.377a2.000 71.000 .000 .94517.278 613.377a2.000 71.000 .000 .94517.278 613.377a2.000 71.000 .000 .945.364 8.012 4.000 144.000 .000 .182.662 8.118a4.000 142.000 .000 .186.470 8.219 4.000 140.000 .000 .190.358 12.883b2.000 72.000 .000 .264Pillai's TraceWilks' LambdaHotelling's TraceRoy's Largest RootPillai's TraceWilks' LambdaHotelling's TraceRoy's Largest RootEffectInterceptFathEducValue F Hypothesis df Error df Sig.Partial EtaSquaredExact statistica. The statistic is an upper bound on F that yields a lower bound on the significance level.b. Design: Intercept+FathEducc. Levene's Test of Equality of Error Variancesa.818 2 72 .4453.105 2 72 .051Grades in High SchoolMath Achievement TestF df1 df2 Sig.Tests the null hypothesis that the error variance of the dependent variable is equal across groups.Design: Intercept+FathEduca. MANOVA ExamplePage 3Tests of Between-Subjects Effects41.627a2 20.813 10.270 .000 .222703.079b2 351.539 9.775 .000 .2142442.453 1 2442.453 1205.158 .000 .94411839.912 1 11839.912 329.216 .000 .82141.627 2 20.813 10.270 .000 .222703.079 2 351.539 9.775 .000 .214145.920 72 2.0272589.402 72 35.9642630.000 7515132.393 75187.547 743292.481 74Dependent VariableGrades in High SchoolMath Achievement TestGrades in High SchoolMath Achievement TestGrades in High SchoolMath Achievement TestGrades in High SchoolMath Achievement TestGrades in High SchoolMath Achievement TestGrades in High SchoolMath Achievement TestSourceCorrected ModelInterceptFathEducErrorTotalCorrected TotalType III Sumof Squaresdf Mean Square F Sig.Partial EtaSquaredR Squared = .222 (Adjusted R Squared = .200)a. R Squared = .214 (Adjusted R Squared = .192)b. MANOVA ExamplePage 4Post Hoc TestsFather's Education LevelMultiple Comparisons-.04 .403 .995 -1.12 1.04-1.60* .403 .000 -2.68 -.52.04 .403 .995 -1.04 1.12-1.56* .403 .001 -2.64 -.481.60* .403 .000 .52 2.681.56* .403 .001 .48 2.64-.04 .415 .995 -1.16 1.08-1.60* .383 .000 -2.64 -.56.04 .415 .995 -1.08 1.16-1.56* .409 .001 -2.67 -.451.60* .383 .000 .56 2.641.56* .409 .001 .45 2.67-5.1599* 1.69621 .009 -9.6913 -.6285-7.2934* 1.69621 .000 -11.8248 -2.76205.1599* 1.69621 .009 .6285 9.6913-2.1334 1.69621 .424 -6.6648 2.39807.2934* 1.69621 .000 2.7620 11.82482.1334 1.69621 .424 -2.3980 6.6648-5.1599* 1.51510 .004 -9.2610 -1.0589-7.2934* 1.79709 .001 -12.1692 -2.41765.1599* 1.51510 .004 1.0589 9.2610-2.1334 1.76247 .453 -6.9205 2.65367.2934* 1.79709 .001 2.4176 12.16922.1334 1.76247 .453 -2.6536 6.9205(J) Father'sEducation LevelSome CollegeBS or MoreHS grad or lessBS or MoreHS grad or lessSome CollegeSome CollegeBS or MoreHS grad or lessBS or MoreHS grad or lessSome CollegeSome CollegeBS or MoreHS grad or lessBS or MoreHS grad or lessSome CollegeSome CollegeBS or MoreHS grad or lessBS or MoreHS grad or lessSome College(I) Father'sEducation LevelHS grad or lessSome CollegeBS or MoreHS grad or lessSome CollegeBS or MoreHS grad or lessSome CollegeBS or MoreHS grad or lessSome CollegeBS or MoreTukey HSDGames-HowellTukey HSDGames-HowellDependent VariableGrades in High SchoolMath Achievement TestMeanDifference(I-J)Std. Error Sig. Lower Bound Upper Bound97.5% Confidence IntervalBased on observed means.The mean difference is significant at the .025 level.*. MANOVA ExamplePage 5Homogeneous SubsetsGrades in High School25 5.1625 5.2025 6.76.995 1.000Father's Education LevelHS grad or lessSome CollegeBS or MoreSig.Tukey HSDa,b,cN 1 2SubsetMeans for groups in homogeneous subsets are displayed.Based on Type III Sum of SquaresThe error term is Mean Square(Error) = 2.027.Uses Harmonic Mean Sample Size = 25.000.a. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.b. Alpha = .025.c. Math Achievement Test25 8.413425 13.573325 15.70671.000 .424Father's Education LevelHS grad or lessSome CollegeBS or MoreSig.Tukey HSDa,b,cN 1 2SubsetMeans for groups in homogeneous subsets are displayed.Based on Type III Sum of SquaresThe error term is Mean Square(Error) = 35.964.Uses Harmonic Mean Sample Size = 25.000.a. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.b. Alpha = .025.c. MANOVA ExamplePage