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When the ordinal data shows numerous tied pairs, the appropriate measure of association is "Somers's d" because it compensates for tied pairs.

What is Somers's d?

Somers' Delta (sometimes known as Somers' D) is a measurement of agreement between two ordinal variables. Ordinal variables are arranged in descending order, such as best to the worst or least to largest ( Likert scale is the more known ordinal scales.)

Some characteristics of Somers's d are-

  • In a contingency table, Delta can estimate column categories based on row categories.
  • Asymmetric Somers' D, in particular, assesses what extent the prediction for such dependent variable improves when an independent variable is known.
  • When running this test, it's critical to specify which parameter would be the independent variable and what is the dependent variable: you'll receive two distinct results for (X,Y) and (Y,X).
  • As an example, suppose you wanted to discover whether customer happiness (on a scale from one to 5) is affected by the friendliness of your sales team (on a scale of 1 to 3).
  • If you flip both independent and dependent variables, you'll be able to see how customer happiness affects the friendliness of your sales team.

To know more about the independent variable, here

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