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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 204/274

Contingency Coefficient

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

5.2.2 · Strength of a RelationshipContingency Coefficient

Contingency Coefficient


C = square root of χ² divided by (χ² + n)

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

Values > 0.30 are considered substantial.

Although C values have an upper limit of 1, they cannot actually reach this limit.

Problems:
  • C is not standardized and depends on the table dimensions.
  • C values from different studies cannot be compared with one another.
In our example:
C = square root of 3.333 divided by (3.333 + 30) = 0.316

The relationship is not particularly strong.

QUESTIONSTAR · Dr. Paul Marx204 / 274
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