Statistics for Bivariate Analysis by Levels of Measurement
By Daniel Palazzolo, Ph.D.

Level of Measurement

Statistical

Procedure

Measure of Association

(Strength)

Test of

Significance

One variable is Nominal and the other is Nominal or Ordinal

Crosstabs

 

Lambda, or Cramer's V

Chi-Square

Both variables are Ordinal

Crosstabs

 

Tau B if # of values are equal

Tau C if # of values are not equal, or Gamma

 

Chi-Square

One variable is Nominal or Ordinal and one variable is Interval or Ratio

ANOVA, or Difference of Means

Eta-Squared

T-ratio

Both variables are Interval or Ratio

Correlation/

Regression

Pearson Correlation

T-ratio

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