Assumption of Homogeneity of Slopes

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Complete the exercise and then complete the worksheet below by filling in the blanks and answering the questions.

H01: There is no significantdifference among the depression scores of students who receive Journal and Counseling therapy, Journal therapy only, or Counseling therapy only, while controlling for pre-test depression scores.

Assumptions

Outliers: Create a Box and Whisker plot for each group.

Insert Graph or Table Here

Fill in the blanks:

Group (Pre-Test):

Outliers (Item #)

Are there any outliers?

Journal and Counseling

Journal only

Counseling only

Group (Post-Test):

Outliers (Item #)

Are there any outliers?

Journal and Counseling

Journal only

Counseling only

Assumption of Normality: Run a normality test for each group. InsertTests of Normality table below:

Insert Graph or Table Here

Fill in the blanks:

Should you use a Shapiro-Wilks or Kolmogorov-Smirnov test? Why?

Answer:

Groups (Pre-Test)

Significance

Is the assumption of normality met?

Journal and Counseling

Journal only

Counseling only

Groups (Post-Test)

Significance

Is the assumption of normality met?

Journal and Counseling

Journal only

Counseling only

Assumption of Linearity:Hint: Run a series of scatter plots between the pre-test variable and post-test variable for each group. Begin by going to Data > Split File (see lesson 15, p. 64), and then make the plots. Add line of fit. See Warner p. 168- 172. After making the scatterplots, go to Data > Split File > RESET before continuing with the analysis.

Insert Graph or Table Here

Fill in the blanks:

Variables

Is the assumption of linearity met?

Journal & Counseling (Pre)Description: http://wwwJournal & Counseling (Post)

Journal only (Pre)Description: http://www Journal only (Post)

Counseling only (Pre)Description: http://www Counseling only (Post)

Assumption of Bivariate Normal Distribution:Hint: Run a series of scatter plots between the pre-test variable and post-test variable for each group (Same as above). Look for the classic “cigar shape.” See Warner p. 168- 172.

Insert Graph or Table Here

Fill in the blanks:

Variables

Is the assumption of Bivariate Normal Distribution met?

Journal & Counseling (Pre)Description: http://www Journal & Counseling (Post)

Journal only (Pre)Description: http://www Journal only (Post)

Counseling only (Pre)Description: http://www Counseling only (Post)

Assumption of Homogeneity of Slopes:Hint: Remember to go to Univariate > Model > Custom and look for an interaction.

Insert Graph or Table Here

Fill in the blanks:

F-stat

Significance

Is the assumption of Homogeneity-of- Slopes met?

Assumption of Equal Variance: InsertLevene’s Test of Equality of Error Variancesa table(s) below:

Insert Graph or Table Here

Fill in the blanks:

Significance

Is the assumption of equal variance met?

Results

InsertTests of Between-Subjects Effects table(s) below:

Insert Graph or Table Here

Fill in the blanks:

Value

d.f. betweenGroups

d.f. withinGroups

F-statistic

F-critical (See Appendix C in Warner)

p- value

Partial Eta Squared

Is theF- statistic greater thanF-critical?

Answer:

Is thep- value less than .05?

Answer:

Should you reject or fail to reject the null?

Answer:

What is the effect size small, medium, or large (See Table 5.2 in Warner, p. 208)?

Answer:

Should you run post hoc analysis?

Answer:

Descriptive Statistics

Groups(Pre-Test)

Mean

S.D.

Journal and Counseling

Journal only

Counseling only

Groups(Post-Test)

Mean

S.D.

Journal and Counseling

Journal only

Counseling only

Groups(Estimates)

Adjusted Mean

S.E.

Journal and Counseling

Journal only

Counseling only

Assumption of Homogeneity of Slopes