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Summary of Statistical Tests

Method
GroupsScale of Measurement
Purpose

z test

1

Interval

Test means

t test

1

Interval

Test means

Independent groups

2

Interval

Difference between 2 means

Dependent groups

2

Interval

Difference between 2 means

F test for variance (Scheffe’)

2

Interval

Find differences between variances

ANOVA

2 or more

Interval

Differences among means

Chi square

1 or more

Nominal

Determine if observations = frequencies or if variables are associated

Correlation (Pearson r)

2

Interval

Degree of relationship

Correlation (Rank Order)

2

Ordinal

Degree of relationship

Correlation (Point Biserial)

2

X interval,
Y nominal

Degree of relationship

Correlation (Phi)

2

Nominal

Degree of relationship

(after Young & Veldman, 1981, p. 538)

Enriching Educators. Serving the Community. Preparing Students (PK-16 and Beyond). Teacher preparation, professional development and outreach.
Enriching Educators. Serving the Community. Preparing Students (PK-16 and Beyond). Teacher preparation, professional development and outreach.