Variance-to-Mean Ratio

The ratio of variance (standard deviation squared) to the mean. When this ratio equals 1, data fits a Poisson distribution; when greater than 1, the data is overdispersed.

Like checking if a coin is fair: if heads and tails aren't roughly 50/50, you need a different model than "fair coin."

Why it matters

It determines which probability model to use for a given stat — Poisson works when the ratio is near 1, but overdispersed stats need a different approach for accurate probabilities.

How DMP uses this

DMP checks variance-to-mean ratios to decide whether Poisson or an alternative distribution is appropriate for modeling a player's stat, especially for low-count props like blocks and steals.

Common mistake

Blindly applying Poisson to every counting stat without checking if the variance actually matches the mean.