Fundamental Concepts in the Design of Experiments, Fifth Edition

Summary and Special Problems

OVERVIEW

Throughout this book the three phases of an experiment have been emphasized: the experiment, the design, and the analysis. Most chapters end with an outline of the designs considered thus far. It may prove useful to the reader to have a complete outline as a summary of the designs presented in Chapters 1 15.

This is not the only way such an outline could be constructed, but it represents an attempt to see each design as part of the overall picture of designed experiments. A look at the outline will reveal that one design is often used for entirely different experiments, which simply illustrates that much care must be taken to spell out the experiment and,its design or method of randomization before the work is performed.

For each experiment, the chapter reference in this book is given.

After the summary several special problems are presented. Many do not fit any one pattern or design but may be of interest insofar as they represent the kinds of problems encountered in practice. These problems have no "pat" solutions, and the way they are set up may depend a great deal on assumptions made by the reader. They should serve to evoke some good discussion about designing an experiment to solve a given practical problem.

Experiment

Design

Analysis

Chapter Reference

  1. Single factor

  2. Two or more factors

    1. Factorial (crossed)

    2. Nested (hierarchical)

    3. Nested factorial

  1. Completely randomized

    Y ij= ?+ ? j+ ? ij

  2. Randomized block

    Y ij = ?+? i

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