由另一个意外缺失观测组成的对称平衡不完全块设计的回归平方和

K. Sirikasemsuk, K. Leerojanaprapa
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引用次数: 1

摘要

平衡不完全块设计(BIBD)是在实验单元有限的情况下分析一个治疗变量和一个块变量的有效方法。本文考虑了t个处理和t个大小为t-1的块的对称平衡不完全块设计(SBIBD)。如果在实验中无意中出现另一个缺失值,则会给分析带来麻烦。对另一个缺失值的SBIBD采用精确方法,即一般回归显著性检验程序进行分析。过去没有现成的配方。因此,本文给出了实验数据全效应模型的拟合参数和回归平方和的数学公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Regression sum of squares of symmetric balanced incomplete block design consisting of another one missing observation by accident
A balanced incomplete block design (BIBD) is the effective way to help analyze a treatment variable and one block variable under the condition where experimental units are limited. This paper considered the symmetric balanced incomplete block design (SBIBD) with t treatments and t blocks of size t-1. The trouble of analysis is caused if another one missing value unintentionally occurs in the experiments. The SBIBD with another one missing value was analyzed by means of the exact approach, i.e., the general regression significance testing procedure. There was no ready-made formula in the past. Hence, the paper provided the mathematical formulae for the fitted parameters and the regression sum of squares for the full effect model of experimental data.
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