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    An Interactive Tutorial for SPSS 10.0 for Windows

    Factorial

    Analysis of Variance

    by

    Julia Hartman

    Next

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    Factorial ANOVA:

    Introduction

    In this tutorial, Factorial Analysis of Variance

    (ANOVA) will be used to determine whethergender and residency location interact to affect

    scores on the US Medical Licensing Exam

    (Part 2) scores.

    Next

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    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)

    Next

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    Factorial ANOVA:

    Starting the Procedure

    In the menu, click

    Analyze

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    Factorial ANOVA:

    Starting the Procedure

    In the menu, click on

    Analyze

    Point to

    General Linear Model

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    Factorial ANOVA:

    Starting the Procedure

    In the menu, click on

    Analyze

    Point to

    General Linear Model

    Point to Univariate

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    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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    Factorial ANOVA:

    Selecting Variables

    Choose the variables

    for analysis from the

    list in the variablebox.

    For this tutorial,

    begin by pointing to

    the variable labeledGENDER OF STUDENT

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    Factorial ANOVA:

    Selecting Variables

    Choose the variables

    for analysis from the

    list in the variablebox.

    For this tutorial,

    begin by pointing to

    the variable labeledGENDER OF STUDENT

    and click.

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    Factorial ANOVA:

    Selecting Variables

    Move gender, a

    categorical variable, tothe box labeled

    Fixed Factor(s)by

    clicking the arrow.

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    Factorial ANOVA:

    Selecting Variables

    Scroll down the list,

    point to the variableresloc, which is labeled

    RESIDENCY LOCATION,

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    Factorial ANOVA:

    Selecting Variables

    Scroll down the list,

    point to the variableresloc, which is labeled

    RESIDENCY LOCATION,

    and click.

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    Factorial ANOVA:

    Selecting Variables

    Move resloc, another

    categorical variable, tothe box labeled

    Fixed Factor(s) by

    clicking the arrow.

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    Factorial ANOVA:

    Selecting Variables

    Scroll further down

    the list and point tothe variable usmle2,

    which is labeled

    USMLE STEP 2,

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    Factorial ANOVA:

    Selecting Variables

    and click.

    Scroll further down

    the list and point tothe variable usmle2,

    which is labeled

    USMLE STEP 2 TOTAL,

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    Factorial ANOVA:

    Selecting Variables

    Move usmle2, a

    continuous variable, tothe box labeled

    Dependent Variableby

    clicking the arrow.

    Move usmle2, a

    continuous variable, tothe box labeled

    Dependent Variableby

    clicking the arrow.

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    Factorial ANOVA:

    Tutorial Options

    The Univariate GLM

    procedure offers a

    number of options.

    for a list of the options

    included in this tutorial.

    Click this button

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    Factorial ANOVA:

    List of Tutorial Options

    Profile plots of estimated

    marginal means

    Post hoc tests for pairwise

    multiple comparisons

    Optional descriptive anddiagnostic statistics

    Click the box for the desired option.

    Continue with the analysis

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    Factorial ANOVA:

    List of Tutorial Options

    Profile plots of estimated

    marginal means

    Post hoc tests for pairwise

    multiple comparisons

    Optional descriptive anddiagnostic statistics

    Click the box for the desired option.

    Continue with the analysis

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    Factorial ANOVA:

    List of Tutorial Options

    Profile plots of estimated

    marginal means

    Post hoc tests for pairwise

    multiple comparisons

    Optional descriptive anddiagnostic statistics

    Click the box for the desired option.

    Continue with the analysis

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    Factorial ANOVA:

    List of Tutorial Options

    Profile plots of estimated

    marginal means

    Post hoc tests for pairwise

    multiple comparisons

    Optional descriptive anddiagnostic statistics

    Click the box for the desired option.

    Continue with the analysis

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    Factorial ANOVA:

    Profile Plots

    Request profile plots

    of estimated marginalmeans by clicking the

    button labeledPlots

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    Factorial ANOVA:

    Profile Plots

    This tutorial requests

    both available profile

    plots, gender*reslocand resloc*gender.

    Clickgender in the

    Factorsbox.

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    Factorial ANOVA:

    Profile Plots

    Move gender to theHorizontal Axisbox by

    clicking the arrow.

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    Factorial ANOVA:

    Profile Plots

    Now clickresloc inthe Factorsbox

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    Factorial ANOVA:

    Profile Plots

    and move it to theSeparate Linesbox

    by clicking the arrow.

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    Factorial ANOVA:

    Profile Plots

    Click the Add buttonto request the plot.

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    Factorial ANOVA:

    Profile Plots

    To request the plot of

    resloc*gender,clickresloc in the

    Factorsbox.

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    Factorial ANOVA:

    Profile Plots

    Move resloc to theHorizontal Axisbox by

    clicking the arrow.

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    Factorial ANOVA:

    Profile Plots

    Now clickgender inthe Factorsbox

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    Factorial ANOVA:

    Profile Plots

    and move it to theSeparate Linesbox

    by clicking the arrow.

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    Factorial ANOVA:

    Profile Plots

    Click the Add buttonto request the plot.

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    Factorial ANOVA:

    Profile Plots

    Click the Continuebutton.

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    Factorial ANOVA:

    Post Hoc Multiple Comparisons

    (The factors in this analysis--

    genderand resloc--eachhave only two categories, so

    post hoc option is explained

    only for tutorial purposes.)

    To request post hoc

    tests for pairwise

    multiple comparisons,

    click the Post Hoc

    button.

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    Factorial ANOVA:

    Post Hoc Multiple Comparisons

    This example

    requests tests forgenderonly.

    Clickgender in the

    Factor(s) box.

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    Factorial ANOVA:

    Post Hoc Multiple Comparisons

    Move gender to thePost Hoc Tests for:

    box by clicking the

    arrow.

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    Factorial ANOVA:

    Post Hoc Multiple Comparisons

    Request multiple

    comparison test(s) by

    clicking in the

    corresponding

    checkbox.

    For this tutorial,clickBonferroni.

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    Factorial ANOVA:

    Post Hoc Multiple Comparisons

    In SPSS, you can

    request as many

    multiple comparison

    tests as you want.

    To continue the

    tutorial, click theContinue button.

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    Factorial ANOVA:

    Optional Descriptive and

    DiagnosticStatistics

    To display estimated

    marginal means,

    parameter estimates,

    and descriptive and

    diagnostic statistics,

    and or to change the

    alpha level, click the

    Options button.

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    Factorial ANOVA:

    Options: Estimated Marginal Means

    You can request an overall

    (grand) marginal mean, as

    well as marginal meansfor the factors and the

    interaction(s).

    To select all of these atonce, first click

    [OVERALL].

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    Factorial ANOVA:

    Options: Estimated Marginal Means

    Hold the Shiftkey (on thekeyboard) and click

    gender*resloc to select the

    entire list.

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    Factorial ANOVA:

    Options: Estimated Marginal Means

    Click the arrow to move

    the factors and factor

    interaction terms to the

    Display Means for: box.

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    Factorial ANOVA:

    Options: Estimated Marginal Means

    In SPSS, you can display

    information by right-

    clicking, but right-

    clicking doesnt work in

    this tutorial.

    To see what right-clickingwould show, left-click

    Compare main effects.

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    Factorial ANOVA:

    Options: Estimated Marginal Means

    Click the checkbox for

    Compare main effects.

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    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-downarrow for Confidence

    interval adjustment.

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    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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    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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    Factorial ANOVA:

    Selecting Options

    and the one for

    Homogeneity tests.

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    Factorial ANOVA:

    Selecting Options

    This tutorial uses no more

    options, so click the

    Continue button.

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    Factorial ANOVA:

    Run the analysis

    Click the OK button torun the Factorial

    ANOVA.

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    Factorial ANOVA Output:

    Warnings and General Information

    The labels and format

    of your output may be

    somewhat different.

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    Factorial ANOVA Output: :

    Descriptive Statistics

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    Factorial ANOVA Output:

    Test of Equality of Error Variances

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    Factorial ANOVA Output:

    Tests of Between-Subjects Effects

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    Factorial ANOVA Output:

    Estimated Marginal Means:

    Grand Mean

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    Factorial ANOVA:

    Gender: Estimated Marginal Means

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    Factorial ANOVA:

    Gender: Pairwise Comparisons

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    Factorial ANOVA:

    Gender: Univariate Tests

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    Factorial ANOVA:

    Resloc: Estimated Marginal Means

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    Factorial ANOVA:

    Resloc: Pairwise Comparisons

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    Factorial ANOVA:

    Resloc: Univariate Tests

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    Factorial ANOVA:

    Profile Plot: Gender*Resloc

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    Factorial ANOVA:

    Profile Plot: Resloc*Gender

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    An Interactive Tutorial for

    SPSS 10.0 for Windows:

    Factorial ANOVA

    Repeat this tutorial

    Click one of the following:

    Return to the list of options in this tutorial

    Return to the list of tutorials