Tests the null hypothesis-the error covariance matrix


Discussion:

Using the SPSS output given below, interpret the data in the table for the within-subjects effects.

1. Make sure to discuss the findings of the analysis in terms of what they actually mean in the context of the study (example given in the lecture for the effects of room temperature on memory).

Within-Subjects Factors


Measure:MEASURE_1

Recall

Dependent Variable

1

Recall_60

2

Recall_70

3

Recall_80

Descriptive Statistics

 

Mean

Std. Deviation

N

Recall_60

5.4000

3.20936

5

Recall_70

4.6000

3.50714

5

Recall_80

4.0000

2.73861

5

Multivariate Testsb

Effect

Value

F

Hypothesis df

Error df

Sig.

Recall

Pillai's Trace

.220

.423a

2.000

3.000

.689

Wilks' Lambda

.780

.423a

2.000

3.000

.689

Hotelling's Trace

.282

.423a

2.000

3.000

.689

Roy's Largest Root

.282

.423a

2.000

3.000

.689

a. Exact statistic

b. Design: Intercept  Within Subjects Design: Recall

Mauchly's Test of Sphericityb

Measure:MEASURE_1

Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilona

Greenhouse-Geisser

Huynh-Feldt

Lower-bound

Recall

.766

.798

2

.671

.811

1.000

.500

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.

a. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table.

b. Design: Intercept

Within Subjects Design: Recall

Tests of Within-Subjects Effects

Measure:MEASURE_1

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Recall

Sphericity Assumed

4.933

2

2.467

.291

.755

Greenhouse-Geisser

4.933

1.621

3.043

.291

.714

Huynh-Feldt

4.933

2.000

2.467

.291

.755

Lower-bound

4.933

1.000

4.933

.291

.618

Error(Recall)

Sphericity Assumed

67.733

8

8.467

 

 

Greenhouse-Geisser

67.733

6.485

10.445

 

 

Huynh-Feldt

67.733

8.000

8.467

 

 

Lower-bound

67.733

4.000

16.933

 

 

Tests of Within-Subjects Contrasts

Measure:MEASURE_1

Source

Recall

Type III Sum of Squares

df

Mean Square

F

Sig.

Recall

Linear

4.900

1

4.900

1.114

.351

Quadratic

.033

1

.033

.003

.961

Error(Recall)

Linear

17.600

4

4.400

 

 

Quadratic

50.133

4

12.533

 

 

Tests of Between-Subjects Effects

Measure:MEASURE_1
Transformed Variable:Average

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Intercept

326.667

1

326.667

24.810

.008

Error

52.667

4

13.167

 

 

Was the assumption of sphericity violated? If so, then what?

Interpret the results in a Microsoft Word document.

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Basic Statistics: Tests the null hypothesis-the error covariance matrix
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