Effect sizes for research: univariate and multivariate applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York ; London
Routledge, Taylor & Francis Group
[2012]
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xvii, 434 Seiten Diagramme |
| ISBN: | 9780415877695 9780415877688 |
Internformat
MARC
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| 100 | 1 | |a Grissom, Robert J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Effect sizes for research |b univariate and multivariate applications |c Robert J. Grissom and John J. Kim (San Francisco State University) |
| 250 | |a Second edition | ||
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Datensatz im Suchindex
| _version_ | 1804145687010476032 |
|---|---|
| adam_text | Titel: Effect sizes for research
Autor: Grissom, Robert J.
Jahr: 2012
Contents
Preface................................................................................................................xiii
Acknowledgments.............................................................................................xvii
Chapter 1 Introduction.....................................................................................1
Introduction.....................................................................................1
Null-Hypothesis Significance Testing.............................................1
Statistically Signifying and Practical Significance.........................3
Definition, Characteristics, and Uses of Effect Sizes......................5
Some Factors Influencing Effect Sizes............................................6
Controversy About Null-Hypothesis Significance Testing.............9
Purpose of This Book....................................................................11
Power Analysis..............................................................................12
Replication and Meta-Analysis.....................................................13
Assumptions of Test Statistics and Effect Sizes............................15
Violations of Assumptions Suggested by Real Data.....................17
Exploring the Data for a Possible Effect of a Treatment
on Variability.................................................................................20
Worked Examples of Measures of Variability..............................26
Summary.......................................................................................28
Questions.......................................................................................28
Chapter 2 Confidence Intervals for Comparing the Averages
of Two Groups...............................................................................31
Introduction...................................................................................31
Ratio-of-Means Effect Size...........................................................31
Background...................................................................................32
Confidence Intervals for ua - ub: Independent Groups.................33
Frequentist and Bayesian Perspectives..........................................38
Equivalence Testing, Non-Inferiority, and Superiority.................40
Worked Example for Independent Groups....................................42
Further Discussions and Methods.................................................44
Solutions to Violations of Assumptions: Welch s
Approximate Method....................................................................45
Worked Example of the Welch Method........................................47
Yuen s Confidence Interval for the Difference Between Two
Trimmed Means............................................................................47
Other Methods for Independent Groups.......................................51
Criteria for Methods for Constructing a Confidence Interval.......54
Dependent Groups.........................................................................55
Summary.......................................................................................58
Questions.......................................................................................59
Chapter 3 The Standardized Difference Between Means.............................61
Introduction...................................................................................61
Standardized Difference Between Treatment
and Comparison Means Assuming Normality..............................62
Uses and Limitations of a Standardized Difference.....................66
Equal or Unequal Variances..........................................................68
Outliers and Standardized-Difference Effect Sizes......................72
Tentative Recommendations.........................................................73
Additional Standardized-Difference Effect Sizes
When There Are Outliers..............................................................74
Confidence Intervals for Standardized-Difference Effect Sizes......75
Counternull Effect Size.................................................................83
Extreme Groups............................................................................85
Percent of Maximum Possible Score.............................................86
Dependent Groups.........................................................................87
Effect Sizes for Pretest-Posttest Control-Group Designs.............90
Summary.......................................................................................92
Questions.......................................................................................94
Chapter 4 Correlational Effect Sizes and Related Topics..............................97
Introduction...................................................................................97
Dichotomizing and Correlation.....................................................97
Point-Biserial Correlation..............................................................99
Unequal Base Rates in Nonexperimental Research....................102
Correcting for Bias......................................................................106
Confidence Intervals for rm.........................................................107
pop
Null-Counternull Interval for r??n...............................................108
pop
Assumptions of Correlation and Point-Biserial Correlation.......109
Unequal Sample Sizes in Experimental Research.......................115
Unreliability.................................................................................116
Adjusting Effect Sizes for Unreliability......................................120
Restricted Range.........................................................................123
Scale Coarseness.........................................................................126
Small, Medium, and Large Effect Size Values...........................127
Binomial Effect Size Display......................................................132
Coefficient of Determination.......................................................135
Criticisms of the Coefficient of Determination...........................140
Slopes as Effect Sizes..................................................................142
Effect Sizes for Mediating and Moderating Variables................144
Summary.....................................................................................145
Questions.....................................................................................146
Chapter 5 Effect Size Measures That Go Beyond Comparing
Two Averages..............................................................................149
Introduction.................................................................................149
Probability of Superiority: Independent Groups.........................149
Introduction to Overlap and Related Measures...........................166
Dominance Measure...................................................................166
Cohen s Measures of Nonoverlap................................................167
Relationships Among Measures of Effect Size...........................169
Estimating Effect Sizes Throughout a Distribution.....................170
Other Graphical Estimators of Effect Sizes................................172
Dependent Groups.......................................................................172
Summary......................................................................................174
Questions......................................................................................175
Chapter 6 Effect Sizes for One-Way ANOVA and Nonparametric
Approaches..................................................................................177
Introduction.................................................................................177
Assumptions.................................................................................178
ANOVA Results for This Chapter................................................178
Standardized-Difference Measure of Overall Effect Size...........178
Standardized Overall Effect Size Using All Means...................179
Strength of Association................................................................181
Evaluation of Criticisms of Strength of Association...................185
Standardized-Difference Effect Sizes for Contrasts...................188
Worked Examples........................................................................189
Unstandardized Differences Between Means..............................191
More on Standardized Differences Between Means...................194
Intransitivity and the PS Effect Size...........................................196
Within-Groups Designs...............................................................196
Summary.....................................................................................201
Questions.....................................................................................202
Chapter 7 Effect Sizes for Factorial Designs...............................................205
Introduction.................................................................................205
Assumptions and Handling Violations........................................205
Discretizing Continuous Independent Variables.........................205
Factors: Targeted, Peripheral, Extrinsic, Intrinsic......................206
Strength of Association: Proportion of Variance Explained.......207
Designs and Results for This Chapter..........................................211
Manipulated Factors Only............................................................211
Manipulated Targeted Factor and Intrinsic Peripheral Factor.... 215
Illustrative Worked Examples......................................................217
Comparisons of Levels of a Manipulated Factor at One
Level of a Peripheral Factor........................................................220
Targeted Classificatory Factor and Extrinsic Peripheral Factor......223
Classificatory Factors Only.........................................................224
Statistical Inference and Further Reading...................................227
Within-Groups Factorial Designs...............................................230
Additional Designs, Measures, and Discussion..........................233
Summary.....................................................................................235
Questions.....................................................................................237
Chapter 8 Effect Sizes for Categorical Variables.........................................241
Introduction.................................................................................241
Unreliability of Categorization...................................................243
Dichotomizing a Continuous Variable........................................246
Chi-Square Test and Phi..............................................................247
Confidence Intervals and Null-Counternull Intervals for phi^.....251
Difference Between Two Proportions.........................................251
Relative Risk...............................................................................259
Propensity-Score Analysis..........................................................263
Relative Risk Reduction..............................................................264
Number Needed to Treat.............................................................265
Relationships Among Measures..................................................268
Odds Ratio...................................................................................269
Tables Larger Than 2x2............................................................277
Multiway Tables..........................................................................279
More on Testing and Effect Sizes for Related Proportions.........279
Further Discussions.....................................................................280
Summary.....................................................................................281
Questions.....................................................................................282
Chapter 9 Effect Sizes for Ordinal Categorical Dependent Variables
(Rating Scales)............................................................................285
Introduction.................................................................................285
Point-Biserial r Applied to Ordinal Categorical Data.................288
Probability of Superiority Applied to Ordinal Data....................292
Dominance Measure...................................................................298
Somers D, the Risk Difference, and the NNT............................299
Worked Example of the Dominance Statistic and NNT..........300
Generalized Odds Ratio..,...........................................................301
Cumulative Odds Ratios..............................................................302
Phi Coefficient.............................................................................304
Further Reading..........................................................................304
Summary.....................................................................................305
Questions.....................................................................................305
Chapter 10 Effect Sizes for Multiple Regression/Correlation.......................307
Introduction.................................................................................307
Multiple Coefficient of Determination........................................308
Semipartial Correlation................................................................313
Partial Correlation........................................................................315
Statistical Control of Unwanted Effects.......................................317
Higher-Order Correlation Coefficients.........................................318
More Statistical Significance Testing and Confidence Intervals.......319
Sets of Included and Excluded X Variables.................................321
Multiple Regression and ANOVA: Dummy Coding...................323
Worked Example of Multiple Regression/Correlation................328
Nonlinear Regression..................................................................332
Hierarchical Linear Modeling (Multilevel Modeling)................334
Path Analysis and Structural Equation Modeling.......................335
Effect Size for Ordinal Multiple Regression...............................337
Additional Topics and Reading...................................................337
Summary.....................................................................................339
Questions.....................................................................................341
Chapter 11 Effect Sizes for Analysis of Covariance......................................343
Introduction.................................................................................343
ANCOVA in Nonexperimental Research....................................344
Proportion of Variance Explained Overall..................................347
Proportion of Variance Explained by a Contrast........................348
Standardized Difference Between Means...................................348
Unstandardized Difference Between Means...............................350
Worked Examples of Effect Sizes................................................351
Summary.....................................................................................355
Questions.....................................................................................356
Chapter 12 Effect Sizes for Multivariate Analysis of Variance.....................357
Introduction.................................................................................357
Assumptions of MANOVA.........................................................358
Statistical Tests............................................................................358
Effect Sizes for One-Way MANOVA..........................................360
MANCOVA.................................................................................371
Factorial Between-Groups MANOVA........................................373
One-Way Within-Groups MANOVA..........................................378
Effect Sizes for Mixed MANOVA Designs................................382
Effect Sizes for Within-Groups MANOVA Factorial Designs........387
Additional Analyses....................................................................388
Summary.....................................................................................388
Questions.....................................................................................389
References........................................................................................................391
Author Index....................................................................................................421
Subject Index...................................................................................................429
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| spelling | Grissom, Robert J. Verfasser aut Effect sizes for research univariate and multivariate applications Robert J. Grissom and John J. Kim (San Francisco State University) Second edition New York ; London Routledge, Taylor & Francis Group [2012] © 2012 xvii, 434 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Varianzanalyse (DE-588)4187413-4 gnd rswk-swf Experimentelle Versuchsforschung (DE-588)4488711-5 gnd rswk-swf Varianzanalyse (DE-588)4187413-4 s Experimentelle Versuchsforschung (DE-588)4488711-5 s DE-188 Kim, John J. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022548799&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grissom, Robert J. Kim, John J. Effect sizes for research univariate and multivariate applications Varianzanalyse (DE-588)4187413-4 gnd Experimentelle Versuchsforschung (DE-588)4488711-5 gnd |
| subject_GND | (DE-588)4187413-4 (DE-588)4488711-5 |
| title | Effect sizes for research univariate and multivariate applications |
| title_auth | Effect sizes for research univariate and multivariate applications |
| title_exact_search | Effect sizes for research univariate and multivariate applications |
| title_full | Effect sizes for research univariate and multivariate applications Robert J. Grissom and John J. Kim (San Francisco State University) |
| title_fullStr | Effect sizes for research univariate and multivariate applications Robert J. Grissom and John J. Kim (San Francisco State University) |
| title_full_unstemmed | Effect sizes for research univariate and multivariate applications Robert J. Grissom and John J. Kim (San Francisco State University) |
| title_short | Effect sizes for research |
| title_sort | effect sizes for research univariate and multivariate applications |
| title_sub | univariate and multivariate applications |
| topic | Varianzanalyse (DE-588)4187413-4 gnd Experimentelle Versuchsforschung (DE-588)4488711-5 gnd |
| topic_facet | Varianzanalyse Experimentelle Versuchsforschung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022548799&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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