Introduction to analysis of variance: design, analysis, & interpretation
Besides introducing the concepts and types of one of the most powerful and prevalent statistical techniques in experimental behavioral science research, this text also shows students how to perform analysis of variance using a calculator to provide a better feel for evaluating data than relying on a...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Thousand Oaks [u.a.]
Sage
2001
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Besides introducing the concepts and types of one of the most powerful and prevalent statistical techniques in experimental behavioral science research, this text also shows students how to perform analysis of variance using a calculator to provide a better feel for evaluating data than relying on an ANOVA computer program. Appendices include standard statistical tables and answers to chapter exercises. |
| Physical Description: | XII, 180 S. graph. Darst. |
| ISBN: | 0803970749 0803970757 |
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| 520 | 3 | |a Besides introducing the concepts and types of one of the most powerful and prevalent statistical techniques in experimental behavioral science research, this text also shows students how to perform analysis of variance using a calculator to provide a better feel for evaluating data than relying on an ANOVA computer program. Appendices include standard statistical tables and answers to chapter exercises. | |
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Record in the Search Index
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| adam_text | CONTENTS
Préface ix
Acknowledgments xii
PART 1: INTRODUCTION
1. The Need for Analysis of Variance 3
Introduction 3
A Research Question and an Experiment Designed to
Answer It 4
The Terms Subject and Participant 6
Getting a Feel for Comparing Groups of Numbers 6
Key Three Components of Statistical Analysis 8
Levels of Significance 11
Expérimental Design and Statistical Analysis 13
Expérimental Methodology 14
Design, Methodology, and Analysis 17
Looking Ahead to the Following Chapters 19
2. Means, Variances, Sums of Squares, and Degrees of Freedom 21
Central Tendency 21
Mean 22
Spread 23
Variance 23
Degrees of Freedom 26
An Easier Method of Calculating Variance 27
Correction Factor 28
Calculating Variance Both Ways 29
Standard Déviation 30
PART 2: INDEPENDENT GROUPS ANALYSIS OF VARIANCE
3. One Factor Independent Groups Analysis of Variance 35
F Test 35
Assumptions Underlying Our Statistical Tests 36
Worked Example 36
Interpreting our Results 43
Multiple Comparisons 44
Degrees of Freedom 47
Tables of Critical Values of the t Distribution 48
Back to This Chapter s Worked Example 48
An Interesting Question Concerning One Factor
Independent Groups ANOVAs and
Independent Groups t Tests 49
Exercises 51
4. Two Factor Independent Groups Analysis of Variance 53
Interactions 54
Two Factor Independent Groups ANOVA 55
Worked Example 56
Degrees of Freedom 62
Interpreting Our Results 67
A Word of Caution 69
Exercises 71
PART 3: REPEATED MEASURES ANALYSIS OF VARIANCE
5. One Factor Repeated Measures Analysis of Variance 75
Introduction to Part 3 75
Difference Between Independent Groups ANOVAs and
Repeated Measures ANOVAs 75
Assumptions Underlying Repeated Measures Designs 76
One Factor Repeated Measures Analysis of Variance 78
So, Let s Answer the Question on Your Mind ... 79
Continuing Now With Our Worked Example ... 80
Degrees of Freedom 86
Completed ANOVA Table 87
Interpretation 89
Multiple Comparisons 89
Dependent Measures t Test 90
Degrees of Freedom 92
A Calculation Note: When to Take Account of Minus Signs 93
Back to This Chapter s Worked Example 94
An Interesting Question Concerning One Factor
Repeated Measures ANOVAs and
Dependent Measures t Tests 96
The Power of an ANOVA 97
Exercises 101
6. Two Factor Mixed Measures Analysis of Variance 103
Breakdown Diagram for This Design 104
Worked Example 106
Degrees of Freedom 114
Interpretation of Results 117
One Last Point Here: Consider Drug Z 120
Exercises 123
7. Two Factor Repeated Measures Analysis of Variance 125
Layouts for This Design 126
Similarities and Differences Between This Design and
Previous Two Factor Designs 128
Worked Example 129
Calculations 131
Calculating the Degrees of Freedom 137
Interpretation of Results 141
Significant Interactions in the Absence of Significant
Main Effects 143
Exercises 145
PART 4: OVERVIEW AND FINAL THOUGHTS
8. Some Tips for Tests on Analysis of Variance 149
Identifying the Design Used to Conduct the Experiment 149
Bubble Diagrams 151
Computational Aids for the Necessary Calculations 152
Interpreting Your Results 154
Multiple Comparisons 155
9. Everyday Benefits of a Feel for Statistics and for
Evaluating Data 157
The World of Misleading Data 157
More Substantive Examples 158
Appendix A: F Tables 165
Appendix B: t Table 169
Appendix C: Answers to Exercises 171
Index 175
About the Authors 179
|
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| indexdate | 2024-07-09T18:54:12Z |
| institution | BVB |
| isbn | 0803970749 0803970757 |
| language | English |
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| physical | XII, 180 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Sage |
| record_format | marc |
| spelling | Turner, J. Rick Verfasser aut Introduction to analysis of variance design, analysis, & interpretation J. Rick Turner ; Julian F. Thayer Thousand Oaks [u.a.] Sage 2001 XII, 180 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Besides introducing the concepts and types of one of the most powerful and prevalent statistical techniques in experimental behavioral science research, this text also shows students how to perform analysis of variance using a calculator to provide a better feel for evaluating data than relying on an ANOVA computer program. Appendices include standard statistical tables and answers to chapter exercises. Experimenteel ontwerp gtt Variantieanalyse gtt Analysis of variance Varianzanalyse (DE-588)4187413-4 gnd rswk-swf Varianzanalyse (DE-588)4187413-4 s DE-604 Thayer, Julian F. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009515942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Turner, J. Rick Thayer, Julian F. Introduction to analysis of variance design, analysis, & interpretation Experimenteel ontwerp gtt Variantieanalyse gtt Analysis of variance Varianzanalyse (DE-588)4187413-4 gnd |
| subject_GND | (DE-588)4187413-4 |
| title | Introduction to analysis of variance design, analysis, & interpretation |
| title_auth | Introduction to analysis of variance design, analysis, & interpretation |
| title_exact_search | Introduction to analysis of variance design, analysis, & interpretation |
| title_full | Introduction to analysis of variance design, analysis, & interpretation J. Rick Turner ; Julian F. Thayer |
| title_fullStr | Introduction to analysis of variance design, analysis, & interpretation J. Rick Turner ; Julian F. Thayer |
| title_full_unstemmed | Introduction to analysis of variance design, analysis, & interpretation J. Rick Turner ; Julian F. Thayer |
| title_short | Introduction to analysis of variance |
| title_sort | introduction to analysis of variance design analysis interpretation |
| title_sub | design, analysis, & interpretation |
| topic | Experimenteel ontwerp gtt Variantieanalyse gtt Analysis of variance Varianzanalyse (DE-588)4187413-4 gnd |
| topic_facet | Experimenteel ontwerp Variantieanalyse Analysis of variance Varianzanalyse |
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