| Summary: | 碩士 === 國立臺灣大學 === 農藝學研究所 === 99 === Multi-stratum designs are often used with applications in various areas, such as agriculture, industry, social science, etc. The main purpose of such designs is to effectively arrange treatments or treatment combinations to experimental units. The partition of experimental units basically uses the two schemes nesting and crossing. So the multi-stratum designs usually contain at least two experimental factors. The simplest nesting design is the split plot design, and the simplest crossing design is the split block design. Most of the published studies only implement the basic framework of multi-stratum designs, but often do not discuss which stratum has higher precision or how to arrange treatments or treatment combinations into the stratum. By two basic functions corresponding to nesting and crossing, proposed by Nelder (1964), we show how to divide the stratum and construct the null analysis of variance. This would guide users to arrange the more important effects in the stratum with less variation.
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