Somers’ d
Ordered association that picks one variable as the outcome.
When to use it
Use Somers’ d when both variables are ordered and one of them is the outcome. Unlike gamma, d is asymmetric: predicting B from A is not the same number as predicting A from B.
Assumptions
Both columns are ordered categories. Level names are sorted alphabetically.
Running it in Tensr
Options
Prop
Type
Reading the output
The same method-by-satisfaction table, as an asymmetric ordinal association.
Somers' D (X = method, Y = satisfaction), n = 96. The primary result is significant (p = < .001). This is large enough, in this sample, to treat the comparison this page is about as a real association rather than noise. Metrics: D(Y|X) = 0.134; D(X|Y) = 0.145; ASE = 0.031; z = 4.271; p-value = < .001.
Reporting (APA 7)
Somers' D (X = method, Y = satisfaction), n = 96. This result is significant (p = < .001). The effect is moderate, so report its size with the p-value.
Coming from SPSS
Analyze → Correlate → Somers’ d. SPSS asks which variable is the dependent.