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具有两个重复的行列设计构造札记
SUMMARY This paper shows that useful designs for variety trials with two replicates, each arranged in a compact array of plots, can be derived from existing row-and-column designs for two non-interacting sets of treatments. Combinatorial and statistical properties are preserved; in particular, if the original design is efficient, then so is the new design.
析因设计中效应与混杂结构的辨识
A method is developed for identifying effects and confounding patterns in factorial designs generated by Patterson's (1976) DSIGN algorithm. The method is an extension of that commonly used for symmetrical designs with prime number of levels.
析因设计中效应与混杂模式的识别
A method is developed for identifying effects and confounding patterns in factorial designs generated by Patterson's (1976) DSIGN algorithm. The method is an extension of that commonly used for symmetrical designs with prime number of levels.
区组大小不等时的区组间信息恢复
A method is proposed for estimating intra-block and inter-blook weights in the analysis of incomplete block designs with block sizes not necessarily equal. The method consists of maximizing the likelihood, not of all the data, but of a set of selected error contrasts. When block sizes are equal results are identical with those obtained by the method of Nelder (1968) for generally balanced designs. Although mainly concerned with incomplete block designs the paper also gives…
格子抽样的误差
Summary Lattice samples are samples selected from a multiple classification of units with one unit in each subclass in such a way that they include equal numbers of units from each main class or from each combination of two, three or more main classes in different classifications. The present paper provides a discussion of the errors of such samples. Methods for determining the sampling variances from the complete data, when these are available, for purposes such as a…