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LI Desoriptives T-Te~ T I ~ovJ

li!I Classica_l

ANOVA

Re peated Measures AN OVA

ANCOVA

MANOVA

If! f Bayesian

ANOVA

Re peated Measures AN OVA

ANCOVA I .. - -- ·-··

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ANOVA DAA Section 2: Testing Assumptions

Open grades.jasp.

Section 2 asks for the homogeneity of variances test. Select ANOVA. Select Classical ANOVA. A new window appears.

SCREENSHOTS TAKEN FROM JASP version 16.

QUESTIONS? EMAIL: [email protected]

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•

't' ANOVA

,. id

& lastname

& firstname

A genderidentity

A ethnicity

1d year

A lowup

A section

' gpa

A extcr

A review

' '

percent

A nr::arfp

.... ANOVA

,. id

& lastname

& firstname

A genderidentity

A ethnicity

id year ,. lowup

' gpa ,. extcr ,. review

' QUiZ1

' quiz2

' QUiZ4

' quiz5

' final

' total

' percent

& grade

& n::ac::c::fa it

0 0 0 0 ! Dependent Variable!

� Fixed Factors

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.. WLSWeights

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0 0 • 0 Dependent Variable

I~ , quiz3

I Fixed Factors I �

WLSWeights

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Select quiz3. Select the arrow to move quiz3 to the Dependent Variable box.

Select section. Select the arrow to move section to the Fixed Factors box.

• , percent

&, grade

A passfail

Display

Descriptive statistics

Estimates of effect size

partial r]'

Vovk-Se ll ke maximum p-ratio

� Model

,.. Assumption C hecks

II Homogeneity tests

•

w•

Assumption Checks

WLS Weights

�

Tiest for EqtJal[ty of Variances (Leve ne's)

F df1 df2 p

�

I

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In the Assumptions Checks area, Select Homogeneity tests.

Copy and paste Assumption Checks output in DAA Section 2.

Below the output, interpret the Levene’s test; determine if the assumption of homogeneity IS violated or IS NOT violated.

• ~ ANOVA

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,. genderi dentity

,. ethni city

I year

,. lowup

gpa

,. eictcr

,. review

' quiz1 , quiz2

, quiz4

, quiz5

, fin al

, total

, perce nt

I,, grade

,. passfail

Display

Descri ptive stati sti cs

• Descriipf v,es

Descriptives. - ,q i!Z3

•

s,ec iorn

1 2 3

Mean

I

G 0 0 0 Dependent Vari able

� , quiz3

Fixed Factors

� ,. section

WLS Weights

�

SD

DAA Section 3: Results and Interpretation

Section 3 asks for descriptive statistics, the ANOVA results, and a post hoc test if the ANOVA is significant. Select Descriptive Statistics.

Copy and paste the Descriptives output into DAA Section 3.

If the homogeneity assumption is NOT violated, run the Homogeneity Corrections "None” test. Paste the ANOVA output into

DAA Section 3. Skip to Step 5.

AN OVA - q iz3

Gases

section

IResid als

II Homogeneity tests

II None own-Forsythe Welch

S lJ rn of SqtJares. ct · Mean SqtJare

ote. Type Ill StJ rn of SqtJares

•

AINOVA - ,quiz.3

II Homogeneity tests

Homogeneity corrections

None Brown-Forsythe II Welch

F

Homogeneity Corre-cHon Cases Sum of Squares df Mean Square

Welcti

Note. Type Ill Sum of Squares

•

seclion

Re.s iduals

p

IF p

However, if the homogeneity assumption IS violated, run the Homogeneity Corrections "Welch” test. Paste the ANOVA output into

DAA Section 3.

If the ANOVA is significant AND the homogeneity assumption is NOT violated, run the Standard post hoc test. Move section into the right box. Make sure that Tukey is selected under Correction. Paste the Post

Hoc Tests output into DAA Section 3. Skip to Step 7.

~ Post Hoc Tests

Type

II Stan dard

From

Effect siz.e

Games-Howell

Dun nett

Dunn

bootstraps

Post Hoc Tests

.S,tandard

�

Post Hoc Comparisons - sectto

•

1

.2

.2 3 3

Mean Differience

Not,e. P~i.ra lu e aidj,llste d for co mparing a family of 3

SE

Correction

II Tukey

Bonferron i

Holm

Sidak

Ptu ,

If the ANOVA is significant AND the homogeneity assumption IS violated, run the Games-Howell post hoc test. Move section into the

right box. Make sure that Tukey is selected under Correction. Paste the Post Hoc Tests output into DAA Section 3.

T Post Hoc Tests

•• section �

Type

•

Standard

From 1000 bootstraps

Effect size

II Games-How ell

Dunnett

Dunn

Post Hoc Tests ,,

Games-Howell

Games-Howell Post Hoc Comparisons - section

Comparison

1 - 2 1 - 3 2 - 3

Mean Difference SE

Note. Results based on uncorrected means .

•

Correction

II TuKey

Bonferroni

Holm

SidaK

di Ptuk ey

Below the output, report the means and standard deviations of each group. Interpret the ANOVA against the null hypothesis. Report and

interpret the post hoc tests.

DAA Sections 2 and 3 should look like this next page.

Testing Assumptions

Assumption Checks

Tes! for Equality ol Variances (Leverie's)

F df1

�

Descriptives

Descriptives - quiz3

AINOVA - quiz3

Cases

section

Res iduals

section

2 3

Sum of Squares

Note. Type Ill Sum of Squares

Post Hoc Tests

standard

Mean

I

di

Post Hoc Comparisons - section

Mean Difference

di2

SD

Mean Square

SE

p

N

F p

Determine if the homogeneity assumption IS violated or IS NOT violated.

Results & Interpretation

Report the means and standard deviations of quiz3 for each group of the section variable.

Report the results of the F test (homogeneity not violated shown above). Interpret the statistical

results against the null hypothesis and state whether it is rejected or not rejected.

Finally, if the F is significant, interpret the post-hoc tests (homogeneity not violated shown

above).