Randomized Block Design

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Ehab F Abdelfattah - One of the best experts on this subject based on the ideXlab platform.

  • saddlepoint p p values and confidence intervals for the class of linear rank tests for censored data under generalized Randomized Block Design
    Computational Statistics, 2015
    Co-Authors: Ehab F Abdelfattah
    Abstract:

    One of the commonly used classes of tests for testing treatment effects for censored data is the linear rank class. The underlying distribution of this class is determined by the randomization Design used to collect the data. Many randomization Designs are used in clinical trials. The Randomized Block Design is an important Design that reduces selection bias and accidental bias. In this paper, a double saddlepoint approximation for the exact underlying randomization distribution for the linear rank class under generalized Randomized Block Design is presented. Extensive simulation studies are used to assess the performance of the saddlepoint approximation. This approximation shows a great improvement in accuracy over the asymptotic normal approximation. This accuracy enables us to calculate almost exact confidence intervals for the treatment effect.

Lilik Eka Radiati - One of the best experts on this subject based on the ideXlab platform.

Vance W Berger - One of the best experts on this subject based on the ideXlab platform.

  • Wiley StatsRef: Statistics Reference Online - Randomized Block Design: Nonparametric Analyses†
    Wiley StatsRef: Statistics Reference Online, 2014
    Co-Authors: Vance W Berger
    Abstract:

    In a Randomized Block Design, there are, in addition to the experimental factor or factors of interest, one or more nuisance factors. The role of Blocking is to reduce or eliminate that part of the experimental error attributable to these nuisance factors. Standard parametric ANOVA can be used to analyze such Designs, but it requires the normality assumption, and may be misleading if the errors are not normally distributed or if there are outliers. In this article, we consider some distribution-free tests, such as the sign test, the Wilcoxon signed rank test, Friedman's test, aligned rank tests, Durbin's test, and the row mean score test. None of these methods require the normality assumption, and they can all be used to analyze such Designs. Keywords: aligned rank test; balanced incomplete Block Design; Cochran–Mantel–Haenszel row mean score statistic; Durbin's test; Friedman's test; paired comparison Design; Randomized Block Design; Randomized complete Block Design; sign test; Wilcoxon signed rank test

  • Randomized Block Design nonparametric analyses
    Encyclopedia of Statistics in Behavioral Science, 2005
    Co-Authors: Vance W Berger
    Abstract:

    In a Randomized Block Design, there are, in addition to the experimental factor or factors of interest, one or more nuisance factors. The role of Blocking is to reduce or eliminate that part of the experimental error attributable to these nuisance factors. Standard parametric ANOVA can be used to analyze such Designs, but it requires the normality assumption, and may be misleading if the errors are not normally distributed or if there are outliers. In this article, we consider some distribution-free tests, such as the sign test, the Wilcoxon signed rank test, Friedman's test, aligned rank tests, Durbin's test, and the row mean score test. None of these methods require the normality assumption, and they can all be used to analyze such Designs. Keywords: aligned rank test; balanced incomplete Block Design; Cochran–Mantel–Haenszel row mean score statistic; Durbin's test; Friedman's test; paired comparison Design; Randomized Block Design; Randomized complete Block Design; sign test; Wilcoxon signed rank test

Alapati Naga Venkata Chandana - One of the best experts on this subject based on the ideXlab platform.

Anindhita Puspadewi - One of the best experts on this subject based on the ideXlab platform.