Comparing several normal variances with a control using sample quasi range

Abstract

In this article, a class of step up test procedures for testing the homogeneity of scale parameters from$\mathrm{ }k\mathrm{ }\left(k\ge 1\right)\mathrm{ }$normal populations with that of control population is proposed using sample quasi ranges. A recursive algorithm is used to compute the critical constants that are required for implementing the proposed procedures. Simulation studies have shown that the proposed procedures are better than the existing competitors and are robust when outliers are present. The proposed procedure is illustrated using a real data example.

Keywords:

• Comparisons with a control
• critical points
• quasi range
• scale parameter
• step up procedure

Mathematical Subject Classification:

• 62J15
• 62G30