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# ANOVA and MANOVA in SPSS

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

#### Solution Preview

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 ...

#### Solution Summary

Interpretations of F tables and ANOVA of SPSS results.

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