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