Statistics for the social and behavioral sciences

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1. Verfasser: Kenny, David A. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Boston u.a. Little, Brown 1987
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Datensatz im Suchindex

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adam_text Contents Preface vii Part I: Getting Started 1. Introduction 3 Essential Definitions 4 Sample and Population Level of Measurement Mathematical Necessities 8 Rounding Proportions, Percentages, and Odds Squares and Square Roots Logarithms Summation Sign Using a Calculator in Statistical Work 13 Summary 14 Problems 14 Part II: Descriptive Statistics 2. The Distribution of Scores 21 The Frequency Table and Histogram 22 Rank Ordering Grouping Graphing Outliers 26 Features of Distributions 28 Stem and Leaf Display 33 Smoothing the Frequencies 36 Summary 38 Problems 38 xiii Contents 3. Central Tendency 42 Measures of Central Tendency 43 Computation of Central Tendency 45 Properties of the Mean 49 Grouped Data 50 Summary 51 Problems 52 4. Variability 56 Measures of Variability 59 The Range The Interquartile Range The Standard Deviation Detection of Outliers 67 Computational Errors and Checks 67 Summary 68 Problems 69 5. Transformation 73 No Stretch Transformations 75 Change in the Unit of Measurement Change of Scale Limits Reversal Standard Scores One Stretch Transformations 78 Square Root Logarithm Reciprocal Two Stretch Transformations 82 Arcsin Probit Logit Rat Transformations 83 Rank Order Percentile Rank Two Variable Transformations 85 Summary 86 Problems 87 6. Measuring Association: The Regression Coefficient 90 The Regression Coefficient 93 The Average Slope The Best Fitting Line The Regression Equation 98 Computation 98 Interpretation of a Regression Coefficient 101 Regression Toward the Mean 103 Contents xv Summary 103 Problems 104 7. Relationship: The Correlation Coefficient 108 Rationale for the Correlation Coefficient 109 Computation 110 Interpretation of r 111 Factors Affecting the Size of r 116 Nonlinearity Unreliability Aggregation Part Whole Correlation Restriction in Range Outliers Correlation and Causality 122 Summary 123 Problems 124 8. Measures of Association: Ordinal and Nominal Variables 127 Shape, Location, Variation, and Transformation 128 Nominal Variables Ordinal Variables Relationship 131 Two Dichotomies Nominal Variables with More than Two Levels Ordinal Variables: Spearman s Rho Summary 140 Problems 140 Part III: Inferential Statistics 9. Statistical Principles 147 Sample and Population 147 Random and Independent Sampling 149 Sampling Distribution 151 Properties of Statistics 152 Bias Efficiency Binomial Distribution 154 Summary 155 Problems 156 10. The Normal Distribution 159 Properties of a Normal Distribution 159 Standard Normal Distribution 162 Contents Determining Probabilities Determining Percentile Ranks Data Transformations 168 Proportions Ranks Summary 170 Problems 171 11. Special Sampling Distributions 174 The Standard Normal Distribution 174 t Distribution 177 Chi Square Distribution 179 F Distribution 180 Relation Between Sampling Distributions 180 Summary 182 Problems 182 12. Testing a Model 184 What Is a Model? 184 Model Comparison 186 The Test Statistic and Its Sampling Distribution 190 Significance Level and p Value 192 The Summary of the Logic of Model Comparison 194 Errors in Model Comparison 196 Remainder of the Book 198 Summary 199 Problems 200 13. The Two Group Design 203 Model 203 Assumptions 207 Normality Equal Variances Independence Paired t Test 209 Computational Formulas 211 Effect Size and Power 211 Effect Size Power Design Considerations 214 Illustrations 216 Example 1 Example 2 Example 3 Example 4 Summary 219 Problems 220 Contents xvii 14. One Way Analysis of Variance 224 The ANOVA Model 225 Estimation and Testing 228 The Analysis of Variance Table Computational Formulas for the Sum of Squares Test of the Constant Assumptions and Interpretation 233 Power and Measure of Effect Size 234 Contrasts 235 Post Hoc Tests 237 Illustrations 238 Example 1 Example 2 Example 3 Summary 241 Problems 242 15. Two Way Analysis of Variance 246 Factorial Design 246 Definitions 247 The Concepts of Main Effect and Interaction 250 Estimation and Definitional Formulas 254 The Computation of Two Way Analysis of Variance 255 Assumptions and Power Example Generalization to Higher Order Analysis of Variance 262 Repeated Measures Design 264 Summary 265 Problems 266 16. Testing Measures of Association 270 Tests of Correlation Coefficients 271 A Single Correlation Coefficient Test of the Difference Between Two Independent Correlations More than Two Independent Correlations Correlated Correlations Tests of Regression Coefficients 283 Single Regression Coefficient Two Independent Regression Coefficients Two Correlated Regression Coefficients Choice of Test 287 Summary 288 Problems 288 17. Models for Nominal Dependent Variables 292 Test of Independence of Two Nominal Variables 295 Assumptions Contents McNemar Test 299 Assumptions Example X2 Goodness of Fit Test 301 Assumptions Example Other Models for Nominal Dependent Variables 303 Summary 303 Problems 304 18. Models for Ordinal Dependent Variables 308 Mann Whitney U Test 310 Both n7 and n2 Are Less than or Equal to 20 Either n/ or n2 Is Greater than 20 Examples Sign Test 314 Kruskal Wallis Analysis of Variance 316 Friedman Two Way ANOVA 317 Spearman s Rank Order Coefficient 318 Power Efficiency 321 Summary 322 Problems 323 Postscript 327 References 328 Appendix A: Two Stretch Transformations of Proportions: Arcsin, Probit, and Logit 333 Appendix B: Random Number Table 335 Appendix C: Probabilities for the Z Distribution 341 Appendix D: Two Tailed Critical Values of t 345 Appendix E: Critical Values for the F Distribution 347 Appendix F: I. Transformation of r to Fisher s z II. Transformation of Fisher s z to r 355 Appendix G: Critical Values for Chi Square 359 Appendix H: Two Tailed Critical Values for the Mann Whitney U Test 361 Appendix I: Two Tailed Critical Values for the Sign Test (n 26) 367 Appendix J: Two Tailed Critical Values for Spearman s Rho 369 Answers to Selected Problems 371 Glossary of Symbols 390 Mathematical Symbols 390 Statistical Symbols 390 Greek Letters 391 Glossary of Terms 392 Index 401
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spellingShingle Kenny, David A.
Statistics for the social and behavioral sciences
Psychologie - Méthodes statistiques
Sciences sociales - Méthodes statistiques
Sozialwissenschaften
Statistik
Psychology Statistical methods
Social sciences Statistical methods
Statistics
Statistik (DE-588)4056995-0 gnd
Sozialwissenschaften (DE-588)4055916-6 gnd
subject_GND (DE-588)4056995-0
(DE-588)4055916-6
title Statistics for the social and behavioral sciences
title_auth Statistics for the social and behavioral sciences
title_exact_search Statistics for the social and behavioral sciences
title_full Statistics for the social and behavioral sciences
title_fullStr Statistics for the social and behavioral sciences
title_full_unstemmed Statistics for the social and behavioral sciences
title_short Statistics for the social and behavioral sciences
title_sort statistics for the social and behavioral sciences
topic Psychologie - Méthodes statistiques
Sciences sociales - Méthodes statistiques
Sozialwissenschaften
Statistik
Psychology Statistical methods
Social sciences Statistical methods
Statistics
Statistik (DE-588)4056995-0 gnd
Sozialwissenschaften (DE-588)4055916-6 gnd
topic_facet Psychologie - Méthodes statistiques
Sciences sociales - Méthodes statistiques
Sozialwissenschaften
Statistik
Psychology Statistical methods
Social sciences Statistical methods
Statistics
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003175731&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT kennydavida statisticsforthesocialandbehavioralsciences