Generalizations of Mathisen's median test for comparing several treatments with a control

Abstract

A distribution-free test for comparing several treatments with a control is proposed for one-way classified data. It is advantageous to use the test in life-testing experiments where testing time is expensive. The proposed test has a shorter expected duration than a previously proposed test by Slivka(1970). The optimal allocation of the experimental units to the treatments for two situations are given. In a simulation study the power of the test is compared with the power of Slivka's test. An extension of the test for two-way classified data is given

Keywords:

• Treatments versus control
• Median test
• Distribution-free test
• Allocation
• Expected duration
• Simulation