Optimal row-column designs for CDC method (1)

Q4 Mathematics

Model Assisted Statistics and Applications Pub Date : 2022-08-26 DOI:10.3233/mas-211307

M. K. Sharma, Mekonnen Tadess, Mohammed Sirage Ibrahim

引用次数: 0

Abstract

In the present article, we are presenting row-column designs for Griffing’s complete diallel cross methods (1) for p parents by using a complete set of (p-1) mutually orthogonal Latin squares, when p is prime or a power of prime. The row-column designs for Griffing’s methods (1) are new and universally optimal in the sense of Kempthrone (1956) and Kiefer (1975). The row-column designs for methods (1) are orthogonally blocked designs. In an orthogonally blocked design no loss of efficiency on the comparisons of interest is incurred due to blocking. The analysis includes the analysis of variance (ANOVA), estimation of general combining ability (gca), specific combining ability (sca) and reciprocal combining ability (rca). Tables of universally optimal row-column designs have been provided.

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CDC方法的最佳行列设计（1）

在本文中，当p是素数或素数的幂时，我们利用(p-1)个相互正交的拉丁平方的完备集，给出了p个亲本的Griffing完全双列杂交方法(1)的行列设计。Griffing方法(1)的行-列设计是新的，在Kempthrone(1956)和Kiefer(1975)的意义上是普遍最优的。方法(1)的行-列设计是正交阻塞设计。在正交阻塞设计中，由于阻塞，不会对兴趣比较的效率造成损失。分析包括方差分析(ANOVA)、一般配合力(gca)、特定配合力(sca)和倒数配合力(rca)的估计。提供了普遍最优行列设计的表格。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Model Assisted Statistics and Applications Mathematics-Applied Mathematics

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Model Assisted Statistics and Applications is a peer reviewed international journal. Model Assisted Statistics means an improvement of inference and analysis by use of correlated information, or an underlying theoretical or design model. This might be the design, adjustment, estimation, or analytical phase of statistical project. This information may be survey generated or coming from an independent source. Original papers in the field of sampling theory, econometrics, time-series, design of experiments, and multivariate analysis will be preferred. Papers of both applied and theoretical topics are acceptable.