Mahalanobis Distance Cutoff Tool

Calculate the critical chi-square value for identifying multivariate outliers using Mahalanobis distance.

About This Tool

Mahalanobis distance measures how far a case is from the centroid of a distribution, accounting for correlations among variables. Cases with Mahalanobis distance exceeding the critical chi-square value (at p < .001) are typically considered multivariate outliers.

Variables (df) Critical χ² (p=.001)
2 13.816
3 16.266
4 18.467
5 20.515
6 22.458
7 24.322
8 26.124
9 27.877
10 29.588
15 37.697
20 45.315
25 52.620
30 59.703