Introduction to Analysis of Variance: Design, Analyis & Interpretation

Introduction to Analysis of Variance: Design, Analyis & Interpretation

by J . Rick Turner, Julian F. Thayer
     
 

ISBN-10: 0803970749

ISBN-13: 9780803970748

Pub. Date: 04/19/2001

Publisher: SAGE Publications

Organized so that the reader moves from the simplest type of design to more complex ones, the authors introduce five different kinds of ANOVA techniques and explain which design//analysis is appropriate to answer specific questions.  See more details below

Overview

Organized so that the reader moves from the simplest type of design to more complex ones, the authors introduce five different kinds of ANOVA techniques and explain which design//analysis is appropriate to answer specific questions.

Product Details

ISBN-13:
9780803970748
Publisher:
SAGE Publications
Publication date:
04/19/2001
Pages:
192
Product dimensions:
6.00(w) x 9.00(h) x (d)

Related Subjects

Table of Contents

Prefaceix
Acknowledgmentsxii
Part 1Introduction
1.The Need for Analysis of Variance3
Introduction3
A Research Question and an Experiment Designed to Answer It4
The Terms Subject and Participant6
Getting a "Feel" for Comparing Groups of Numbers6
"Key Three" Components of Statistical Analysis8
Levels of Significance11
Experimental Design and Statistical Analysis13
Experimental Methodology14
Design, Methodology, and Analysis17
Looking Ahead to the Following Chapters19
2.Means, Variances, Sums of Squares, and Degrees of Freedom21
Central Tendency21
Mean22
Spread23
Variance23
Degrees of Freedom26
An Easier Method of Calculating Variance27
Correction Factor28
Calculating Variance Both Ways29
Standard Deviation30
Part 2Independent-Groups Analysis of Variance
3.One-Factor Independent-Groups Analysis of Variance35
F Test35
Assumptions Underlying Our Statistical Tests36
Worked Example36
Interpreting our Results43
Multiple Comparisons44
Degrees of Freedom47
Tables of Critical Values of the t Distribution48
Back to This Chapter's Worked Example48
An Interesting Question Concerning One-Factor Independent-Groups ANOVAs and Independent-Groups t Tests49
Exercises51
4.Two-Factor Independent-Groups Analysis of Variance53
Interactions54
Two-Factor Independent-Groups ANOVA55
Worked Example56
Degrees of Freedom62
Interpreting Our Results67
A Word of Caution69
Exercises71
Part 3Repeated-Measures Analysis of Variance
5.One-Factor Repeated-Measures Analysis of Variance75
Introduction to Part 375
Difference Between Independent-Groups ANOVAs and Repeated-Measures ANOVAs75
Assumptions Underlying Repeated-Measures Designs76
One-Factor Repeated-Measures Analysis of Variance78
So, Let's Answer the Question on Your Mind...79
Continuing Now With Our Worked Example...80
Degrees of Freedom86
Completed ANOVA Table87
Interpretation89
Multiple Comparisons89
Dependent-Measures t Test90
Degrees of Freedom92
A Calculation Note: When to Take Account of Minus Signs93
Back to This Chapter's Worked Example94
An Interesting Question Concerning One-Factor Repeated-Measures ANOVAs and Dependent-Measures t Tests96
The Power of an ANOVA97
Exercises101
6.Two-Factor Mixed-Measures Analysis of Variance103
Breakdown Diagram for This Design104
Worked Example106
Degrees of Freedom114
Interpretation of Results117
One Last Point Here: Consider Drug Z120
Exercises123
7.Two-Factor Repeated-Measures Analysis of Variance125
Layouts for This Design126
Similarities and Differences Between This Design and Previous Two-Factor Designs128
Worked Example129
Calculations131
Calculating the Degrees of Freedom137
Interpretation of Results141
Significant Interactions in the Absence of Significant Main Effects143
Exercises145
Part 4Overview and Final Thoughts
8.Some Tips for Tests on Analysis of Variance149
Identifying the Design Used to Conduct the Experiment149
Bubble Diagrams151
Computational Aids for the Necessary Calculations152
Interpreting Your Results154
Multiple Comparisons155
9.Everyday Benefits of a Feel for Statistics and for Evaluating Data157
The World of Misleading Data157
More Substantive Examples158
Appendix AF-Tables165
Appendix Bt-Table169
Appendix CAnswers to Exercises171
Index175
About the Authors179

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