1. An Interactive Tutorial for SPSS 10.0 for Windows©
Factorial
Analysis of Variance by
Julia Hartman
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© Copyright 2000, Julia Hartman
© Copyright 2000, Julia Hartman

2. Factorial ANOVA: Introduction
In this tutorial, Factorial Analysis of Variance (ANOVA) will be used to determine whether gender and residency location interact to affect scores on the US Medical Licensing Exam (Part 2) scores.
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3. Factorial ANOVA: Introduction
Independent variables (fixed factors)
gender: Gender of student (1 = female, 2 = male)
resloc: Residency location (1 = in-state, 2 = out of state)
Dependent variable
usmle2: USMLE Step 2 (continuous)
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4. Factorial ANOVA: Starting the Procedure
In the menu, click Analyze
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5. Factorial ANOVA: Starting the Procedure
In the menu, click on Analyze
Point to General Linear Model
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6. Factorial ANOVA: Starting the Procedure
In the menu, click on Analyze
Point to General Linear Model
Point to Univariate…
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7. Factorial ANOVA: Starting the Procedure
In the menu, click on Analyze
Point to General Linear Model
Point to Univariate…
… and click.
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8. Factorial ANOVA: Selecting Variables
Choose the variables for analysis from the list in the variable box.
For this tutorial, begin by pointing to the variable labeled GENDER OF STUDENT
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9. Factorial ANOVA: Selecting Variables
Choose the variables for analysis from the list in the variable box.
For this tutorial, begin by pointing to the variable labeled GENDER OF STUDENT
…and click.
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10. Factorial ANOVA: Selecting Variables
Move gender, a categorical variable, to the box labeled Fixed Factor(s) by clicking the arrow.
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11. Factorial ANOVA: Selecting Variables
Scroll down the list, point to the variable resloc, which is labeled RESIDENCY LOCATION,
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12. Factorial ANOVA: Selecting Variables
Scroll down the list, point to the variable resloc, which is labeled RESIDENCY LOCATION,
…and click.
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13. Factorial ANOVA: Selecting Variables
Move resloc, another categorical variable, to the box labeled Fixed Factor(s) by clicking the arrow.
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14. Factorial ANOVA: Selecting Variables
Scroll further down the list and point to the variable usmle2, which is labeled USMLE STEP 2,
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15. Factorial ANOVA: Selecting Variables
Scroll further down the list and point to the variable usmle2, which is labeled USMLE STEP 2 TOTAL,
…and click.
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16. Factorial ANOVA: Selecting Variables
Move usmle2, a continuous variable, to the box labeled Dependent Variable by clicking the arrow.
Move usmle2, a continuous variable, to the box labeled Dependent Variable by clicking the arrow.
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17. Factorial ANOVA: Tutorial Options
The Univariate GLM procedure offers a number of options.
Click this button
for a list of the options included in this tutorial.
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18. Factorial ANOVA: List of Tutorial Options
Click the box for the desired option.
Profile plots of estimated marginal means
Post hoc tests for pairwise multiple comparisons
Optional descriptive and diagnostic statistics
Continue with the analysis
© Copyright 2000, Julia Hartman

19. Factorial ANOVA: List of Tutorial Options
Click the box for the desired option.
Profile plots of estimated marginal means
Post hoc tests for pairwise multiple comparisons
Optional descriptive and diagnostic statistics
Continue with the analysis
© Copyright 2000, Julia Hartman

20. Factorial ANOVA: List of Tutorial Options
Click the box for the desired option.
Profile plots of estimated marginal means
Post hoc tests for pairwise multiple comparisons
Optional descriptive and diagnostic statistics
Continue with the analysis
© Copyright 2000, Julia Hartman

21. Factorial ANOVA: List of Tutorial Options
Click the box for the desired option.
Profile plots of estimated marginal means
Post hoc tests for pairwise multiple comparisons
Optional descriptive and diagnostic statistics
Continue with the analysis
© Copyright 2000, Julia Hartman

22. Factorial ANOVA: Profile Plots
Request profile plots of estimated marginal means by clicking the button labeled Plots…
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23. Factorial ANOVA: Profile Plots
This tutorial requests both available profile plots, gender*resloc and resloc*gender.
Click gender in the Factors box.
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24. Factorial ANOVA: Profile Plots
Move gender to the Horizontal Axis box by clicking the arrow.
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25. Factorial ANOVA: Profile Plots
Now click resloc in the Factors box …
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26. Factorial ANOVA: Profile Plots
and move it to the Separate Lines box by clicking the arrow.
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27. Factorial ANOVA: Profile Plots
Click the Add button to request the plot.
© Copyright 2000, Julia Hartman

28. Factorial ANOVA: Profile Plots
To request the plot of resloc*gender,
click resloc in the Factors box.
© Copyright 2000, Julia Hartman

29. Factorial ANOVA: Profile Plots
Move resloc to the Horizontal Axis box by clicking the arrow.
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30. Factorial ANOVA: Profile Plots
Now click gender in the Factors box…
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31. Factorial ANOVA: Profile Plots
…and move it to the Separate Lines box by clicking the arrow.
© Copyright 2000, Julia Hartman

32. Factorial ANOVA: Profile Plots
Click the Add button to request the plot.
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33. Factorial ANOVA: Profile Plots
Click the Continue button.
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34. Factorial ANOVA: Post Hoc Multiple Comparisons
To request post hoc tests for pairwise multiple comparisons, click the Post Hoc… button.
(The factors in this analysis--gender and resloc--each have only two categories, so post hoc option is explained only for tutorial purposes.)
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35. Factorial ANOVA: Post Hoc Multiple Comparisons
This example requests tests for gender only.
Click gender in the Factor(s) box.
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36. Factorial ANOVA: Post Hoc Multiple Comparisons
Move gender to the Post Hoc Tests for: box by clicking the arrow.
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37. Factorial ANOVA: Post Hoc Multiple Comparisons
Request multiple comparison test(s) by clicking in the corresponding checkbox.
For this tutorial, click Bonferroni.
© Copyright 2000, Julia Hartman

38. Factorial ANOVA: Post Hoc Multiple Comparisons
In SPSS, you can request as many multiple comparison tests as you want.
To continue the tutorial, click the Continue button.
© Copyright 2000, Julia Hartman

39. Factorial ANOVA: Optional Descriptive and Diagnostic Statistics
To display estimated marginal means, parameter estimates, and descriptive and diagnostic statistics, and or to change the alpha level, click the Options… button.
© Copyright 2000, Julia Hartman

40. Factorial ANOVA: Options: Estimated Marginal Means
You can request an overall (grand) marginal mean, as well as marginal means for the factors and the interaction(s).
To select all of these at once, first click [OVERALL] .
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41. Factorial ANOVA: Options: Estimated Marginal Means
Hold the Shift key (on the keyboard) and click gender*resloc to select the entire list.
© Copyright 2000, Julia Hartman

42. Factorial ANOVA: Options: Estimated Marginal Means
Click the arrow to move the factors and factor interaction terms to the Display Means for: box.
© Copyright 2000, Julia Hartman

43. Factorial ANOVA: Options: Estimated Marginal Means
In SPSS, you can display information by right-clicking, but right-clicking doesn’t work in this tutorial.
To see what right-clicking would show, left-click Compare main effects.
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44. Factorial ANOVA: Options: Estimated Marginal Means
Click the checkbox for
Compare main effects.
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45. Factorial ANOVA: Options: Estimated Marginal Means
You can change the method used for confidence interval adjustments by selecting from the drop-down list.
Click the drop-down arrow for Confidence interval adjustment.
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46. Factorial ANOVA: Options: Estimated Marginal Means
This tutorial will use the default method, so click elsewhere on the window to close the drop-down menu.
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47. Factorial ANOVA: Selecting Options
Request other options by clicking the appropriate checkbox.
In the Display area, click the checkbox for
Descriptive statistics…
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48. Factorial ANOVA: Selecting Options
…and the one for
Homogeneity tests.
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49. Factorial ANOVA: Selecting Options
This tutorial uses no more options, so click the
Continue button.
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50. Factorial ANOVA: Run the analysis
Click the OK button to run the Factorial ANOVA.
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51. Factorial ANOVA Output: Warnings and General Information
The labels and format of your output may be somewhat different.
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52. Factorial ANOVA Output: : Descriptive Statistics
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53. Factorial ANOVA Output: Test of Equality of Error Variances
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54. Factorial ANOVA Output: Tests of Between-Subjects Effects
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55. Factorial ANOVA Output: Estimated Marginal Means: Grand Mean
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56. Factorial ANOVA: Gender: Estimated Marginal Means
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57. Factorial ANOVA: Gender: Pairwise Comparisons
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58. Factorial ANOVA: Gender: Univariate Tests
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59. Factorial ANOVA: Resloc: Estimated Marginal Means
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60. Factorial ANOVA: Resloc: Pairwise Comparisons
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61. Factorial ANOVA: Resloc: Univariate Tests
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62. Factorial ANOVA: Interaction: Means, Std Errors, C.I.
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63. Factorial ANOVA: Profile Plot: Gender*Resloc
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64. Factorial ANOVA: Profile Plot: Resloc*Gender
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65. An Interactive Tutorial for SPSS 10.0 for Windows©: Factorial ANOVA
Click one of the following:
Repeat this tutorial
Return to the list of options in this tutorial
Return to the list of tutorials
© Copyright 2000, Julia Hartman
© Copyright 2000, Julia Hartman