# 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.