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LEADER 07323cam a2201645 i 4500
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991005645559707546
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20220623122546.0
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130712t20142014nyua b 001 0 eng
010
 
 
a| 2013025364
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a| 9781848729803 (hardback)
020
 
 
a| 1848729804 (hardback)
020
 
 
a| 9781848729810 (paperback)
020
 
 
a| 1848729812 (paperback)
020
 
 
z| 9780203127698 (ebook)
035
 
 
a| (HKSYU)b11875288-852hksyu_inst
040
 
 
a| DLC b| eng e| rda c| DLC d| BTCTA d| OCLCO d| OCLCF d| CHVBK d| YDXCP d| NhCcYBP d| NhCcYME d| HK-SYU
050
 
4
a| HA29 b| .L83185 2014
082
0
0
a| 300.72/7 2| 23
092
0
 
a| 300.727 b| LIU 2014
100
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a| Liu, Xiaofeng Steven, e| author.
245
1
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a| Statistical power analysis for the social and behavioral sciences : b| basic and advanced techniques / c| Xiaofeng Steven Liu.
264
 
1
a| New York, NY : b| Routledge, c| 2014.
300
 
 
a| xvi, 378 p. : b| ill. ; c| 26 cm.
336
 
 
a| text 2| rdacontent.
337
 
 
a| unmediated 2| rdamedia.
338
 
 
a| volume 2| rdacarrier.
504
 
 
a| Includes bibliographical references and index.
520
 
 
a| "This will be the first book to demonstrate the application of power analysis to the newer more advanced techniques such as hierarchical linear modeling, meta-analysis, and structural equation modelling that are increasingly popular in behavioral and social science research"-- c| Provided by publisher.
650
 
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a| Social sciences x| Statistical methods.
650
 
0
a| Probabilities.
650
 
0
a| Statistical power analysis.
907
 
 
a| b11875288 b| 08-01-22 c| 21-09-06
910
 
 
a| ykc b| ysf
935
 
 
a| (HK-SYU)500872417 9| ExL
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1
t| List of Figures p| ix
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t| List of Tables p| xi
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t| Preface p| xiii
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l| 1. t| Introduction p| 1
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l| 1.1. t| Scientific Research p| 2
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l| 1.2. t| Origin of Statistical Power p| 4
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l| 1.3. t| Some Preliminaries p| 5
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l| 1.3.1. t| Distribution p| 6
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l| 1.3.2. t| Expectation p| 13
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l| 1.3.3. t| Variance p| 15
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l| 2. t| Statistical Power p| 17
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l| 2.1. t| Hypothesis Testing p| 17
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l| 2.2. t| Statistical Power p| 21
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l| 2.2.1. t| Statistical Power of a z-test p| 21
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l| 2.2.2. t| Effect Size p| 27
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l| 2.2.3. t| Sample Size p| 30
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l| 2.3. t| Statistical Power and Sample Size for t Tests p| 32
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l| 2.3.1. t| One Sample t Test p| 33
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l| 2.3.2. t| Two Sample Independent t Test p| 36
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l| 2.3.3. t| Dependent t Test p| 43
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l| 2.3.4. t| Uncertainty in Power Analysis p| 50
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l| 3. t| Power of Confidence Interval p| 55
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l| 3.1. t| Sample Size and Confidence Interval in a z-test p| 56
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l| 3.2. t| Sample Size and Confidence Interval in a t Test p| 57
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l| 3.3. t| Statistical Power and Confidence Interval p| 61
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l| 3.3.1. t| Statistical Power and Confidence Interval Width in a z-test p| 62
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l| 3.3.2. t| Statistical Power and Confidence Interval Width in a Test p| 64
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l| 3.4. t| Derivation of π1 and ω p| 71
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l| 4. t| Analysis of Variance p| 75
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l| 4.1. t| One-way Analysis of Variance p| 75
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l| 4.1.1. t| Non-centrality Parameter in ANOVA p| 77
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l| 4.1.2. t| Statistical Power for the F Test p| 81
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l| 4.1.3. t| Statistical Power for Contrast Tests p| 85
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l| 4.2. t| Two-way Analysis of Variance p| 92
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l| 4.2.1. t| Statistical Power for Testing Main Effects p| 92
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l| 4.2.2. t| Statistical Power for Testing Interaction p| 97
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l| 4.3. t| Random-effects ANOVA p| 104
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l| 5. t| Linear Regression p| 111
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l| 5.1. t| Simple Regression p| 112
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l| 5.2. t| Testing Correlation r p| 119
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l| 5.3. t| Multiple Regression p| 123
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l| 5.4. t| Analysis of Covariance p| 129
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l| 5.4.1. t| Statistical Power with Covariate Adjustment p| 129
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l| 5.4.2. t| Small Sample Size and Standard Error with Covariate Adjustment p| 133
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l| 6. t| Multivariate Analysis p| 137
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l| 6.1. t| Hotelling T2 for Two-group Comparison p| 137
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l| 6.2. t| Multivariate Analysis of Variance p| 145
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l| 6.3. t| Multivariate Analysis of Covariance p| 159
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l| 7. t| Multi-level Models p| 169
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l| 7.1. t| Cluster Randomized Trials p| 170
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l| 7.1.1. t| Two Treatment Arms p| 170
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l| 7.1.2. t| Three Treatment Arms p| 178
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l| 7.2. t| Multi-site Randomized Trials p| 191
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l| 7.2.1. t| Two Treatment Conditions at Each Site p| 191
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l| 7.2.2. t| Multiple Treatment Conditions at Each Site p| 200
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l| 7.2.3. t| Derivation of the F Statistic p| 212
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l| 8. t| Complex Multi-level Models p| 215
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l| 8.1. t| Three-level Cluster Randomized Trial p| 215
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l| 8.2. t| Multi-site Cluster Randomized Trial p| 224
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l| 8.3. t| Covariate Adjustment p| 235
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l| 8.4. t| Optimal Sample Allocation p| 243
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l| 8.4.1. t| Cluster Randomized Trial p| 244
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l| 8.4.2. t| Multi-site Randomized Trial p| 247
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l| 8.4.3. t| Unequal Costs Per Unit of Randomization p| 249
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l| 9. t| Meta-analysis p| 253
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l| 9.1. t| Fixed-Effects Meta-analysis p| 254
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l| 9.1.1. t| Test for Main Effect p| 254
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l| 9.1.2. t| Test for Homogeneity of Individual Effect Sizes ... p| 259
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l| 9.2. t| Random-Effects Meta-analysis p| 260
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l| 9.2.1. t| Test for Main Effect p| 260
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l| 9.2.2. t| Test for the Variance of Individual Effect Sizes p| 266
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l| 10. t| Structural Equation Models p| 269
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l| 10.1. t| Path Analysis p| 270
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l| 10.1.1. t| Statistical Power for Testing Individual Equations and Direct Effects p| 272
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l| 10.1.2. t| Statistical Power in Path Analysis p| 273
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l| 10.2. t| Factor Analysis p| 286
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l| 10.3. t| Structural Equation Model p| 289
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l| 10.3.1. t| Statistical Power in SEM p| 291
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l| 11. t| Longitudinal Studies p| 299
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l| 11.1. t| Multivariate Analysis of Repeated Measures p| 300
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l| 11.1.1. t| Linear Change p| 300
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l| 11.1.2. t| Quadratic Change p| 308
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l| 11.2. t| HLM: Fixed Coefficient for Slope p| 315
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l| 11.3. t| HLM: Random Coefficients Model p| 324
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l| 11.3.1. t| Linear Change p| 325
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l| 11.3.2. t| Quadratic Change p| 331
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l| 11.3.3. t| Orthogonal Polynomial Model p| 339
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l| 11.3.4. t| Cubic Change p| 343
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l| Appendix A t| Cumulative Distribution Function p| 347
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l| A.1. t| Cumulative Distribution Function and Quantile p| 347
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l| A.2. t| Non-central Cumulative Distribution Function p| 348
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l| Appendix B t| R Tutorial p| 351
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l| B.1. t| Arithmetic p| 351
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l| B.2. t| Data p| 353
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l| B.3. t| Loop p| 354
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l| B.4. t| Statistics p| 355
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l| B.5. t| Simulation p| 357
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l| B.6. t| Graphics p| 359
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l| B.7. t| Function p| 360
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l| B.8. t| Statistical Analysis p| 361
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l| B.8.1. t| Basic Statistics p| 361
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l| B.8.2. t| Helmert Contrast p| 362
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t| Bibliography p| 365
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t| Index p| 373
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a| book b| 27-10-15 c| m d| a e| - f| eng g| nyu h| 0 i| 0
945
 
 
h| Supplement l| location i| barcode y| id f| bookplate a| callnoa b| callnob n| PSY510