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<h1 class="title toc-ignore">BYU-Idaho Math326: Design and Analysis of
Experiments</h1>
<h4 class="date">1/27/2022</h4>
</div>
<div id="a-customizable-textbook" class="section level2">
<h2>A Customizable Textbook</h2>
<p>This book is meant to be a starting point for you to learn design and
analysis of experiments. You should feel free to edit the Rmarkdown
files so that the book becomes your own.</p>
<div id="how-to-use-this-book" class="section level3">
<h3>How to Use This Book</h3>
<p>Under <strong>Principles of Experiments</strong> the most
foundational issues that face each experimenter are described.</p>
<p>The <strong>Specific Designs</strong> section addresses specific
designs we will learn about in this course. Each design will have an
image next to it representing the diagram of the structural factors.
Within each of these designs there are subsections:</p>
<ul>
<li>Overview contains the model, factor structure and hypotheses</li>
<li>Design discusses how the randomization is implemented and why</li>
<li>Decomposition is a bridge between the design and analysis. It walks
through creating an ANOVA table by hand for the given design to allow
you to see how the factor structure affects the analysis.</li>
<li>R instructions provides interactive code illustrating how to run the
model</li>
<li>Resources contains worked examples and a space for you to store
other links and info</li>
</ul>
<p>The section labeled <strong>Broad Topics</strong> seeks to address
topics that are relevant to many experiment designs.</p>
<p>Finally, a section dedicated to <strong>R code</strong> that can be
used in multiple designs. This includes numerical and graphical data
summaries as well as code for model diagnostics/assumption checking.</p>
<p>You should add additional topics and designs as you learn more, even
after the course is over. The book is meant to be fully customizable and
growing to reflect your growing understanding.</p>
<div id="suggested-sequence-of-topics-for-teaching"
class="section level4">
<h4>Suggested Sequence of Topics for Teaching</h4>
<p>This book was specifically designed for the Math326 Design and
Analysis of Experiments class at BYU-Idaho, as it stands in 2022. BYU-I
follows a 14 week semester. After introducing some foundational
principles of experimental design, the recommended sequence follows the
general pattern of</p>
<ul>
<li>Introduce a specific design: suitability/benefits of the design,
explanation of the design, factor structure and decomposition, steps for
analysis (including R code)</li>
<li>Discuss new topics/complexities/considerations associated with that
design located in the Broad Topics list.</li>
</ul>
</div>
</div>
</div>
<div id="book-scope" class="section level2">
<h2>Book Scope</h2>
<p>This is an introductory book intended to familiarize students with
foundational concepts and vocabulary in the design and analysis of
experiments. The designs covered in this book are the most basic and all
assume a continuous response variable. Hopefully with this foundation
students will be prepared to excel in experimental design and analysis
courses in grad school, or be able to extend these principles to more
complex designs as practitioners.</p>
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