Rule of Thumb for Interpreting the Size of a Correlation ...
[Pages:1]Rule of Thumb for Interpreting the Size of a Correlation Coefficient
Size of Correlation
Interpretation
.90 to 1.00 (-.90 to ?1.00) .70 to .90 (-.70 to -.90) .50 to .70 (-.50 to -.70) .30 to .50 (-.30 to -.50) .00 to .30 (.00 to -.30)
Very high positive (negative) correlation High positive (negative) correlation
Moderate positive (negative) correlation Low positive (negative) correlation Little if any correlation
Matrix Showing Correlation Coefficients Appropriate for Scales of Measurement for Variable X and Variable Y
VARIABLE X
Nominal
Ordinal
Interval/Ratio
Nominal
VARIABLE Y
Ordinal
a. Phi ()
Rank-biserial
b. C coefficient
c. Cramer's V
d. and
Point-biserial
Rank-biserial
a. Tetrachoric Biseral b. Spearman
Interval/Ratio Point-biserial Biserial rb
Pearson r
From: Hinkle, Wiersma, & Jurs (2003). Applied Statistics for the Behavioral Sciences (5th ed.).
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