Combining One-sided and Two-sided Confidence Interval Procedures for Successive Comparisons of Ordered Treatment Effects

Percentage Points of the Multivariate t Distribution

“…Liu et al (2000) extended these tables for ¿ p ½¼; º½» º¾»¾¼, ¾ , ¿¼, ¼, ¼, ½¾¼, ½; and ¼ ¼, ¼ , ¼ . See also Somerville et al (2001).…”

Nonparametric tests for ordered quantiles

“…For normal populations with unequal variances, tests for equality of means were proposed by Hochberg (1976) and Tamhane (1977Tamhane ( , 1979. Successive comparison of means of normal populations has been studied by Lee and Spurrier (1995) and Somerville (2001). Wu and Chen (1997) and Singh and Gill (2002) proposed tests for equality of location parameters for several exponential and logistic distributions, respectively.…”

Tests for successive differences of quantiles

“…Similarly, in a competitive market, claims of various competing firms about homogeneity of their products can be tested. Lee and Spurrier (1995a), Somerville et al (2001) and Liu et al (2000) suggested a procedure for successive comparison among ordered treatment mean effects for normal populations with known or unknown common variance. Singh (2006) studied one-sided and two-sided simultaneous confidence intervals for the successive ratios of scale parameters and used recursive techniques to find critical constants using exponential distribution.…”