I want to know what are appropriate metrics to capture the distribution of subgroup sizes (in addition to variance of the sizes). Consider the simple case where I have 100 data points forming three subgroups in two ways. The first case is subgroups A (30 data point), B (30 data points), and C (40 points) while the second is subgroups A (5 data points), B (5 data points), and C (90 data points). It's obvious that in the first case, subgroup sizes are more evenly distributed as opposed to that in the second case. Yet, are there any statistical metrics to indicate this situation? Please feel free to share your ideas. I appreciate your time. -Julie
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