Use our free Index of Qualitative Variation (IQV) Calculator to quickly determine the diversity or heterogeneity of your nominal data. Perfect for researchers and students analyzing qualitative variables and understanding statistical dispersion.
Formula:
The Index of Qualitative Variation (IQV) is a measure of statistical dispersion for nominal variables. It quantifies the diversity or heterogeneity of a distribution, with values ranging from 0 (no variation) to 1 (maximum variation).
The IQV is calculated using the formula:
IQV = [k * (N2 - ∑ni2)] / [N2 * (k - 1)]
Where:
- k: The number of categories in your nominal variable.
- N: The total number of observations or cases across all categories.
- ni: The number of observations in the i-th category.
- ∑ni2: The sum of the squares of the counts in each category.