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Statistical Methods for the Social Sciences, Global Edition

Statistical Methods for the Social Sciences, Global Edition

Alan Agresti

(2018)

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Book Details

Abstract

For courses in Statistical Methods for the Social Sciences.

 

Statistical methods applied to social sciences, made accessible to all through an emphasis on concepts Statistical Methods for the Social Sciences introduces statistical methods to students majoring in social science disciplines. With an emphasis on concepts and applications, this book assumes no previous knowledge of statistics and only a minimal mathematical background. It contains sufficient material for a two-semester course. The 5th Edition uses examples and exercises with a variety of “real data.” It includes more illustrations of statistical software for computations and takes advantage of the outstanding applets to explain key concepts, such as sampling distributions and conducting basic data analyses. It continues to downplay mathematics—often a stumbling block for students—while avoiding reliance on an overly simplistic recipe-based approach to statistics.

Table of Contents

Section Title Page Action Price
Cover Cover
Title Page 1
Copyright Page 2
Dedication 3
Contents 5
Preface 9
Acknowledgments 11
Global Edition Acknowledgments 12
1 Introduction 13
1.1 Introduction to Statistical Methodology 13
1.2 Descriptive Statistics and Inferential Statistics 16
1.3 The Role of Computers and Software in Statistics 18
1.4 Chapter Summary 20
2 Sampling and Measurement 23
2.1 Variables and Their Measurement 23
2.2 Randomization 26
2.3 Sampling Variability and Potential Bias 29
2.4 Other Probability Sampling Methods* 33
2.5 Chapter Summary 35
3 Descriptive Statistics 41
3.1 Describing Data with Tables and Graphs 41
3.2 Describing the Center of the Data 47
3.3 Describing Variability of the Data 53
3.4 Measures of Position 58
3.5 Bivariate Descriptive Statistics 63
3.6 Sample Statistics and Population Parameters 67
3.7 Chapter Summary 67
4 Probability Distributions 79
4.1 Introduction to Probability 79
4.2 Probability Distributions for Discrete and Continuous Variables 81
4.3 The Normal Probability Distribution 84
4.4 Sampling Distributions Describe How Statistics Vary 92
4.5 Sampling Distributions of Sample Means 97
4.6 Review: Population, Sample Data, and Sampling Distributions 103
4.7 Chapter Summary 106
5 Statistical Inference: Estimation 115
5.1 Point and Interval Estimation 115
5.2 Confidence Interval for a Proportion 118
5.3 Confidence Interval for a Mean 125
5.4 Choice of Sample Size 132
5.5 Estimation Methods: Maximum Likelihood and the Bootstrap* 138
5.6 Chapter Summary 142
6 Statistical Inference: Significance Tests 151
6.1 The Five Parts of a Significance Test 152
6.2 Significance Test for a Mean 155
6.3 Significance Test for a Proportion 164
6.4 Decisions and Types of Errors in Tests 167
6.5 Limitations of Significance Tests 171
6.6 Finding P(Type II Error)* 175
6.7 Small-Sample Test for a Proportion—the Binomial Distribution* 177
6.8 Chapter Summary 181
7 Comparison of Two Groups 191
7.1 Preliminaries for Comparing Groups 191
7.2 Categorical Data: Comparing Two Proportions 194
7.3 Quantitative Data: Comparing Two Means 199
7.4 Comparing Means with Dependent Samples 202
7.5 Other Methods for Comparing Means* 205
7.6 Other Methods for Comparing Proportions* 210
7.7 Nonparametric Statistics for Comparing Groups* 213
7.8 Chapter Summary 216
8 Analyzing Association between Categorical Variables 227
8.1 Contingency Tables 227
8.2 Chi-Squared Test of Independence 230
8.3 Residuals: Detecting the Pattern of Association 237
8.4 Measuring Association in Contingency Tables 239
8.5 Association Between Ordinal Variables* 245
8.6 Chapter Summary 250
9 Linear Regression and Correlation 259
9.1 Linear Relationships 259
9.2 Least Squares Prediction Equation 262
9.3 The Linear Regression Model 268
9.4 Measuring Linear Association: The Correlation 271
9.5 Inferences for the Slope and Correlation 278
9.6 Model Assumptions and Violations 284
9.7 Chapter Summary 289
10 Introduction to Multivariate Relationships 299
10.1 Association and Causality 299
10.2 Controlling for Other Variables 302
10.3 Types of Multivariate Relationships 306
10.4 Inferential Issues in Statistical Control 311
10.5 Chapter Summary 313
11 Multiple Regression and Correlation 319
11.1 The Multiple Regression Model 319
11.2 Multiple Correlation and R2 328
11.3 Inferences for Multiple Regression Coefficients 332
11.4 Modeling Interaction Effects 337
11.5 Comparing Regression Models 341
11.6 Partial Correlation* 343
11.7 Standardized Regression Coefficients* 346
11.8 Chapter Summary 349
12 Regression with Categorical Predictors: Analysis of Variance Methods 363
12.1 Regression Modeling with Dummy Variables for Categories 363
12.2 Multiple Comparisons of Means 367
12.3 Comparing Several Means: Analysis of Variance 370
12.4 Two-Way ANOVA and Regression Modeling 374
12.5 Repeated-Measures Analysis of Variance* 381
12.6 Two-Way ANOVA with Repeated Measures on a Factor* 385
12.7 Chapter Summary 390
13 Multiple Regression with Quantitative and Categorical Predictors 399
13.1 Models with Quantitative and Categorical Explanatory Variables 399
13.2 Inference for Regression with Quantitative and Categorical Predictors 406
13.3 Case Studies: Using Multiple Regression in Research 409
13.4 Adjusted Means* 413
13.5 The Linear Mixed Model* 418
13.6 Chapter Summary 423
14 Model Building with Multiple Regression 431
14.1 Model Selection Procedures 431
14.2 Regression Diagnostics 438
14.3 Effects of Multicollinearity 445
14.4 Generalized Linear Models 447
14.5 Nonlinear Relationships: Polynomial Regression 451
14.6 Exponential Regression and Log Transforms* 456
14.7 Robust Variances and Nonparametric Regression* 460
14.8 Chapter Summary 462
15 Logistic Regression: Modeling Categorical Responses 471
15.1 Logistic Regression 471
15.2 Multiple Logistic Regression 477
15.3 Inference for Logistic Regression Models 482
15.4 Logistic Regression Models for Ordinal Variables* 484
15.5 Logistic Models for Nominal Responses* 489
15.6 Loglinear Models for Categorical Variables* 492
15.7 Model Goodness-of-Fit Tests for Contingency Tables* 496
15.8 Chapter Summary 500
Appendix: R, Stata, SPSS, and SAS for Statistical Analyses 509
Bibliography 545
Credits 549
Index 551
A 551
B 551
C 551
D 552
E 552
F 552
G 552
H 553
I 553
J 553
K 553
L 553
M 553
N 554
O 554
P 554
Q 555
R 555
S 555
T 556
U 557
V 557
W 557
Y 557
Z 557
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