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    ANOVA and MANOVA in SPSS

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    I have a student version of SPSS: The following was the question. I am unable to do a multivariate so I performed a univariate.

    9.
    a. Conduct a multivariate ANOVA (Analyze, General Linear Model, multivariate, dep vars are the 5 quizzes and the fixed factor (IV) is "final".
    In your own words, what is the interpretation of the multivariate test F-ratio obtained?

    Since a multivariate cannot be performed with the student version of SPSS. "Quiz " was used individually as the DV & "final" was used as the fixed IV.

    Between-Subjects Factors

    N
    final 40 1
    42 1
    43 1
    48 2
    49 3
    50 3
    52 4
    53 5
    54 2
    55 3
    56 1
    57 6
    58 2
    59 4
    60 7
    61 5
    62 7
    63 7
    64 3
    65 3
    66 4
    67 3
    68 8
    69 2
    70 2
    71 4
    72 3
    73 2
    74 4
    75 3

    Tests of Between-Subjects Effects

    Dependent Variable: quiz1
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 343.715(a) 29 11.852 2.999 .000
    Intercept 3448.294 1 3448.294 872.491 .000
    final 343.715 29 11.852 2.999 .000
    Error 296.418 75 3.952
    Total 6494.000 105
    Corrected Total 640.133 104
    a R Squared = .537 (Adjusted R Squared = .358)

    Tests of Between-Subjects Effects

    Dependent Variable: quiz2
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 132.596(a) 29 4.572 2.426 .001
    Intercept 4429.599 1 4429.599 2350.078 .000
    final 132.596 29 4.572 2.426 .001
    Error 141.365 75 1.885
    Total 6962.000 105
    Corrected Total 273.962 104
    a R Squared = .484 (Adjusted R Squared = .284)

    Tests of Between-Subjects Effects

    Dependent Variable: quiz3
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 295.011(a) 29 10.173 2.946 .000
    Intercept 4087.604 1 4087.604 1183.892 .000
    final 295.011 29 10.173 2.946 .000
    Error 258.951 75 3.453
    Total 7242.000 105
    Corrected Total 553.962 104
    a R Squared = .533 (Adjusted R Squared = .352)

    Tests of Between-Subjects Effects

    Dependent Variable: quiz4
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 253.242(a) 29 8.732 2.278 .002
    Intercept 3952.461 1 3952.461 1030.868 .000
    final 253.242 29 8.732 2.278 .002
    Error 287.558 75 3.834
    Total 6929.000 105
    Corrected Total 540.800 104
    a R Squared = .468 (Adjusted R Squared = .263)

    Tests of Between-Subjects Effects

    Dependent Variable: quiz5
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 139.354(a) 29 4.805 1.950 .011
    Intercept 4363.346 1 4363.346 1771.032 .000
    final 139.354 29 4.805 1.950 .011
    Error 184.780 75 2.464
    Total 6822.000 105
    Corrected Total 324.133 104
    a R Squared = .430 (Adjusted R Squared = .209)

    All the sig values are < .05, therefore the Null hypothesis are rejected. Quiz 1 had the highest F value (2.999). Quiz 5 had the lowest (1.950). But w

    © BrainMass Inc. brainmass.com December 24, 2021, 6:05 pm ad1c9bdddf
    https://brainmass.com/statistics/multivariate-anova/anova-manova-spss-90034

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    SOLUTION This solution is FREE courtesy of BrainMass!

    I have a student version of SPSS: The following was the question. I am unable to do a multivariate so I performed a univariate.

    9.
    a. Conduct a multivariate ANOVA (Analyze, General Linear Model, multivariate, dep vars are the 5 quizzes and the fixed factor (IV) is "final".
    In your own words, what is the interpretation of the multivariate test F-ratio obtained?

    Since a multivariate cannot be performed with the student version of SPSS. "Quiz " was used individually as the DV & "final" was used as the fixed IV.

    Between-Subjects Factors

    N
    final 40 1
    42 1
    43 1
    48 2
    49 3
    50 3
    52 4
    53 5
    54 2
    55 3
    56 1
    57 6
    58 2
    59 4
    60 7
    61 5
    62 7
    63 7
    64 3
    65 3
    66 4
    67 3
    68 8
    69 2
    70 2
    71 4
    72 3
    73 2
    74 4
    75 3

    Tests of Between-Subjects Effects

    Dependent Variable: quiz1
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 343.715(a) 29 11.852 2.999 .000
    Intercept 3448.294 1 3448.294 872.491 .000
    final 343.715 29 11.852 2.999 .000
    Error 296.418 75 3.952
    Total 6494.000 105
    Corrected Total 640.133 104
    a R Squared = .537 (Adjusted R Squared = .358)

    Here the null hypothesis tested

    H0: There is no significant difference in average score of Quiz1 among the 30 levels of Final.

    Conclusion : We reject the null Hypothesis since sig value is less than 0.05

    R Squared = .537 (Adjusted R Squared = .358) means that 35.8 % variability in quiz 1 can be explained by the variable Final. Adjusted R Square is calculated from R Square value by adding a correction factor for sample size

    Tests of Between-Subjects Effects

    Dependent Variable: quiz2
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 132.596(a) 29 4.572 2.426 .001
    Intercept 4429.599 1 4429.599 2350.078 .000
    final 132.596 29 4.572 2.426 .001
    Error 141.365 75 1.885
    Total 6962.000 105
    Corrected Total 273.962 104
    a R Squared = .484 (Adjusted R Squared = .284)

    Here the null hypothesis tested

    H0: There is no significant difference in average score of Quiz 2 among the 30 levels of Final.

    Conclusion : We reject the null Hypothesis since sig value is less than 0.05

    R Squared =0 .484 (Adjusted R Squared = .284)
    means that 28.4 % variability in quiz 2 can be explained by the variable Final.]

    Tests of Between-Subjects Effects

    Dependent Variable: quiz3
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 295.011(a) 29 10.173 2.946 .000
    Intercept 4087.604 1 4087.604 1183.892 .000
    final 295.011 29 10.173 2.946 .000
    Error 258.951 75 3.453
    Total 7242.000 105
    Corrected Total 553.962 104
    a R Squared = .533 (Adjusted R Squared = .352)

    Here the null hypothesis tested

    H0: There is no significant difference in average score of Quiz 3 among the 30 levels of Final.

    Conclusion : We reject the null Hypothesis since sig value is less than 0.05

    R Squared = .533 (Adjusted R Squared = .352)

    means that 35.2 % variability in quiz 3 can be explained by the variable Final.]

    Tests of Between-Subjects Effects

    Dependent Variable: quiz4
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 253.242(a) 29 8.732 2.278 .002
    Intercept 3952.461 1 3952.461 1030.868 .000
    final 253.242 29 8.732 2.278 .002
    Error 287.558 75 3.834
    Total 6929.000 105
    Corrected Total 540.800 104
    a R Squared = .468 (Adjusted R Squared = .263)

    Here the null hypothesis tested

    H0: There is no significant difference in average score of Quiz 4 among the 30 levels of Final.

    Conclusion : We reject the null Hypothesis since sig value is less than 0.05
    R Squared = .468 (Adjusted R Squared = .263)
    means that 26.3 % variability in quiz 4 can be explained by the variable Final.]

    Tests of Between-Subjects Effects

    Dependent Variable: quiz5
    Source Type III Sum of Squares df Mean Square F Sig.
    Corrected Model 139.354(a) 29 4.805 1.950 .011
    Intercept 4363.346 1 4363.346 1771.032 .000
    final 139.354 29 4.805 1.950 .011
    Error 184.780 75 2.464
    Total 6822.000 105
    Corrected Total 324.133 104
    a R Squared = .430 (Adjusted R Squared = .209)
    Here the null hypothesis tested

    H0: There is no significant difference in average score of Quiz 5 among the 30 levels of Final.

    Conclusion : We reject the null Hypothesis since sig value is less than 0.05
    R Squared = .430 (Adjusted R Squared = .209) means that 20.9% variability in quiz 5 can be explained by the variable Final.]

    All the sig values are < .05, therefore the Null hypothesis are rejected. Quiz 1 had the highest F value (2.999). Quiz 5 had the lowest (1.950). But what am I really looking at? What else can I interpret?

    Hypothesis F value
    1 2.999
    2 2.426
    3 2.946
    4 2.276
    5 1.950
    High value of F indicates that there is more difference among the 30 levels of Final .
    Thus here we claim that there high degree of dissimilarity for mean value of Quiz 1 among 30 level of Final and this type of difference is comparatively low for the varia

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 6:05 pm ad1c9bdddf>
    https://brainmass.com/statistics/multivariate-anova/anova-manova-spss-90034

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