Symmetric and directional measures

Figure 1. Symmetric measures for Shopping frequency by Overall satisfaction
Symmetric measures for Shopping frequency by Overall satisfaction
Figure 2. Directional measures for Shopping frequency by Overall satisfaction
Directional measures for Shopping frequency by Overall satisfaction
  • Gamma is P(concordant) - P(discordant), ignoring comparisons that are tied. Unfortunately, this often excludes a number of pairwise comparisons.
  • Somer's d is a modification of gamma that accounts for comparisons that are tied on one variable. Somer's d decreases with respect to gamma as the number of comparisons tied on one variable increases.
  • Tau-b also accounts for comparisons tied on one variable but does not have a simple interpretation. It decreases with respect to gamma as the number of comparisons tied on one variable increases.
  • Tau-c also accounts for comparisons tied on one variable and does not have a simple interpretation. Tau-c may be preferable to tau-b when the numbers of categories in the row and column variables are not equal.

The approximate significance value of each measure is equal to 0.001. Since this is less than 0.05, you can conclude there is a statistically significant relationship between Shopping frequency and Overall satisfaction. However, the value of each measure is less than 0.150, so while the relationship is different from 0, it is still rather weak.

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