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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 203/274

Phi Coefficient

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

5.2.2 · Strength of a RelationshipPhi Coefficient

Phi Coefficient


φ = square root of χ² divided by n

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

Values > 0.30 are considered substantial.

Problems:
  • φ is not standardized and has an upper limit of 1 only for 2×2 tables; it depends on the table dimensions.
  • φ values from different studies cannot be compared with one another.
In our example:
φ = square root of 3.333 divided by 30 = 0.333

The relationship is not particularly strong.

QUESTIONSTAR · Dr. Paul Marx203 / 274
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