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Nonparametric Statistical Methods, 3rd Edition by Eric Chicken, Douglas A. Wolfe, Myles Hollander

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Chapter 7

The Two-Way Layout

Introduction

The procedures of this chapter are designed for statistical analyses of data collected under the auspices of an experimental design involving two factors, each at two or more levels. Our primary interest is in the relative location effects (medians) of the different levels of one of these factors, hereafter called the treatment factor, within the various levels of the second factor, hereafter called the blocking factor. This blocking factor is associated quite commonly with the experimental design where subjects are first divided into more homogeneous subgroups (called blocks) and then randomly assigned to the various treatment levels within these blocks. Such a design is called a randomized block design, and we will use this treatment/block terminology to describe the two-way layout setting throughout this chapter. In addition, we will refer, without loss of generality, to the c07-math-0001 levels of a treatment as the k treatments. (In the case of a randomized complete block design, where the data consist of one observation on each of c07-math-0002 treatments in each of c07-math-0003 blocks, this represents a direct generalization of the paired replicates setting discussed in Chapter ...

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