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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 205/274

Cramer's V

The higher V, the stronger the relationship between the variables.

5.2.2 · Strength of a RelationshipCramer's V

Cramer's V


V = square root of χ² divided by n times (min(r,c) − 1)
r — number of rows
c — number of columns

The higher V, the stronger the relationship between the variables.

Values > 0.30 are considered substantial.

V values have an upper limit of 1, but they too can actually reach it only for 2×2 tables.

Problems:
  • V is not standardized and depends on the table dimensions.
  • V values from different studies cannot be compared with one another.
In our example:
V = square root of 3.333 divided by 30 times (2 − 1) = 0.333

The relationship is not particularly strong.

QUESTIONSTAR · Dr. Paul Marx205 / 274
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