STATISTICAL CHART

Procedure

Purpose

Scale of Measurement

Design

No. of IV's & Levels

Description of Procedure

Graphs

D

All

NA

Gives picture of data

Mean

D

Int/Ratio

NA

Central tendency

Median

D

Ord+

NA

Central tendency

Mode

D

All

NA

Central tendency

Range

D

Int/Ratio

NA

Variability

Standard Deviation

D

Int/Ratio

NA

Variability

Variance

D

Int/Ratio

NA

Variability

Pearson's r

D-Para

Int/Ratio

Corr

NA

Degree of Relationship; bivariate data

Spearman's r

D-Nonpara

Int/Ratio

Corr

NA

Degree of Relationship; bivariate data

t Test - One Sample

I-para

Int/Ratio

Indep

NA

Sample X, came from pop w/ mean, mu?

t Test - Independent Samples

I-para

Int/Ratio

Indep

1 & 2

2 sample X from same pop?

t Test - Correlated Samples

I-para

Int/Ratio

Corr

1 & 2

2 sample X from same pop?

F Test - Two Variances

I-para

Int/Ratio

Indep

1 & 2

2 sample variances from same pop?

F Test - One-Way ANOVA

I-para

Int/Ratio

Indep

1 & 2+

2 or more sample X from same pop?

F Test - Factorial ANOVA

I-para

Int/Ratio

Indep

2+ & 2+

Analyzes 2 or more IV's + interactions

Tukey's HSD

I-para

Int/Ratio

Indep

1 & 2

Tests all pairwise comparisons

Mann-Whitmey U

I-nonpara

Ord+

Indep

1 & 2

2 samples from same pop?

Wilcoxon Matched Pairs Signed-Rank T

I-nonpara

Ord+

Corr

1 & 2

2 samples from same pop?

Wilcoxon-Wilcox Multiple Comparisons

I-nonpara

Ord+

Indep

1 & 2+

Tests all pairs of X differences

Chi Square - Goodness-of-Fit

I-nonpara

Nom

Indep

NA

Gives prob of such data, given theory

Chi Square - Independence

I-nonpara

Nom

Indep

NA

Gives prob of data, given independence


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