“…Again, numerical methods can be used to solve equation (3) for a 2 . Hoover (1991) and Solorzano and Spurrier (1999) provide tables of the probability points. Hoover (1991) shows one minimizes the standard errors of the treatment versus control contrast estimators for a fixed total sample size by taking…”
Section: Simultaneous Intervalsmentioning
confidence: 99%
“…This design has λ 1 = 3, λ 2 = 4, and λ 3 = 2. Solorzano (1999) shows that BBPB designs are the only designs satisfying conditions (20). Solorzano and Spurrier (2001b) give some A-optimality results for BBPB designs.…”
This article provides a survey of recent work on comparing more than one experimental treatment to more than one control based on differences in the location parameters. The primary focus is on simultaneous confidence intervals for the amount of improvement that the experimental treatments offer relative to each control. Some discussion of single-step and step-down tests is also included. Both the parametric and nonparametric cases are considered. Data from a medical example are used to illustrate the techniques.
“…Again, numerical methods can be used to solve equation (3) for a 2 . Hoover (1991) and Solorzano and Spurrier (1999) provide tables of the probability points. Hoover (1991) shows one minimizes the standard errors of the treatment versus control contrast estimators for a fixed total sample size by taking…”
Section: Simultaneous Intervalsmentioning
confidence: 99%
“…This design has λ 1 = 3, λ 2 = 4, and λ 3 = 2. Solorzano (1999) shows that BBPB designs are the only designs satisfying conditions (20). Solorzano and Spurrier (2001b) give some A-optimality results for BBPB designs.…”
This article provides a survey of recent work on comparing more than one experimental treatment to more than one control based on differences in the location parameters. The primary focus is on simultaneous confidence intervals for the amount of improvement that the experimental treatments offer relative to each control. Some discussion of single-step and step-down tests is also included. Both the parametric and nonparametric cases are considered. Data from a medical example are used to illustrate the techniques.
“…Shaffer (1977) proposed simultaneous confidence intervals for all pairwise intergroup comparisons when a set of means of k populations is divided in two groups. Solorzano and Spurrier (1999) proposed one-sided simultaneous confidence intervals for comparing k 1 treatments to k 2 controls and provided required critical points under the normal setting. More recently, Solorzano and Spurrier (2001) proposed a nonparametric procedure to compare several treatments with more than one control and Spurrier (2005) proposed a multiple comparisons procedure for comparing each test treatment with the best control treatment.…”
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