Abstract
This article proposes tests for testing the equality of k-medians when the data are a mixture of a randomized complete block, a completely randomized design, and possibly an incomplete block (or blocks) design. The proposed tests are compared to the Friedman test when just the randomized complete block portion of observations is kept. Two tests are also developed for the umbrella alternative with known turning point for a mixed design. The two proposed tests are compared to each other and a test just for the randomized complete block portion (Kim and Kim, Citation1992). Results are given.