# 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

© BrainMass Inc. brainmass.com October 24, 2018, 8:11 pm ad1c9bdddfhttps://brainmass.com/statistics/multivariate-anova/anova-manova-spss-90034

#### 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.

Repeated Measure Two Way MANOVA- using SPSS

6.31. Peanuts are an important crop in parts of the southern United States. In an effort to develop

improved plants, crop scientists routinely compare varieties with respect to several

variables.The data for one two-factor experiment are given in Table 6.17 on page 354.

Three varieties (5, 6, and 8) were grown at two geographical locations (1, 2) and, in this

case, the three variables representing yield and the two important grade-grain characteristics

were measured.The three variables are

X1=Yield (plot weight)

X2=Sound mature kernels (weight in grams—maximum of 250 grams)

X3=Seed size (weight, in grams, of 100 seeds)

There were two replications of the experiment.

(a) Perform a two-factor MANOVA using the data in Table 6.17. Test for a location

effect, a variety effect, and a location-variety interaction. Use =.05

(b) Analyze the residuals from Part a. Do the usual MANOVA assumptions appear to

be satisfied? Discuss.

(c) Using the results in Part a, can we conclude that the location and>or variety effects

are additive? If not, does the interaction effect show up for some variables, but not

for others? Check by running three separate univariate two-factor ANOVA