General Solution of Normal Equations in the Intra-Block Analysis of PBIB Designs with Four Associates

作     者：Dav inder Kumar Garg Ghansham Mishra 

作者机构：Department of Statistics Punjabi University Patiala -147002 India S.P.M Department G.G.S.M. College B.F.U.H.S Faridkot India 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2013年第3卷第8期

页      码：412-416页

摘      要：General solution of normal equations in the general intra-block analysis of partially balanced incomplete block designs involving four associates is presented in this talk as they are quite useful in practice. Only intra-block estimates are given as the necessary formulae for inter-block estimates can be derived from them by changing the parameters as discussed in Rao[5]. We have obtained the general formulae for computation of four types of efficiencies, the average efficiency factor and the variance of the estimated elementary treatment contrast of the four types of comparisons irrespective of the type of association scheme a PBIB Design follows.

主 题 词：平衡不完全区组设计 普通方程 联营 一般解 PBIB设计 块间预测 平均效率 结合方案 

学科分类：07[理学] 070104[070104] 0701[理学-数学类] 070101[070101] 

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