4th Edition

An Introduction to Statistical Concepts

    1186 Pages
    by Routledge

    The new edition of An Introduction to Statistical Concepts is designed to help students really understand statistical concepts, the situations in which they can be used, and how to apply them to data.

    Hahs-Vaughn and Lomax discuss the most popular, along with many of the lesser-known, procedures and models, whilst also exploring nonparametric procedures used when standard assumptions are violated. They provide in-depth coverage of testing assumptions and highlight several online tools for computing statistics (e.g., effect sizes and their confidence intervals and power). This comprehensive, flexible, and accessible text includes a new chapter on mediation and moderation; expanded coverage of effect sizes; and discussions of sensitivity, specificity, false positive, and false negative, along with using the receiver operator characteristic (ROC) curve. In addition to instructions and screen shots for using SPSS, new to this edition is annotated script for using R.

    This book, noted for its crystal-clear explanations, and its inclusion of only the most crucial equations, is an invaluable resource for students undertaking a course in statistics in any number of social science and behavioral disciplines—from education, business, communication, exercise science, psychology, sociology and more.

    Preface

    Acknowledgements

    1. INTRODUCTION

    2. DATA REPRESENTATION

    3. UNIVARIATE POPULATION PARAMETERS AND SAMPLE STATISTICS

    4. THE NORMAL DISTRIBUTION AND STANDARD SCORES

    5. INTRODUCTION TO PROBABILITY AND SAMPLE STATISTICS

    6. INTRODUCTION TO HYPOTHESIS TESTING: INFERENCES ABOUT A SINGLE MEAN

    7. INFERENCES ABOUT THE DIFFERENCE BETWEEN TWO MEANS

    8. INFERENCES ABOUT PROPORTIONS

    9. INFERENCES ABOUT VARIANCES

    10. BIVARIATE MEASURES OF ASSOCIATION

    11. ONE-FACTOR ANALYSIS OF VARIANCE – FIXED-EFFECTS MODEL

    12. MULTIPLE COMPARISON PROCEDURES

    13. FACTORIAL ANALYSIS OF VARIANCE – FIXED-EFFECTS MODEL

    14. INTRODUCTION TO ANALYSIS OF COVARIANCE: THE ONE-FACTOR FIXED-EFFECTS MODEL WITH A SINGLE COVARIATE

    15. RANDOM- AND MIXED-EFFECTS ANALYSIS OF VARIANCE MODELS

    16. HIERARCHICAL AND RANDOMIZED BLOCK ANALYSIS OF VARIANCE MODELS

    17. SIMPLE LINEAR REGRESSION

    18. MULTIPLE LINEAR REGRESSION

    19. LOGISTIC REGRESSION

    20. MEDIATION AND MODERATION

    Appendix: Tables

    Biography

    Debbie L. Hahs-Vaughn is Professor of Methodology, Measurement, and Analysis at the University of Central Florida, US. Her primary research interest relates to methodological issues associated with applying quantitative statistical methods to survey data obtained under complex sampling designs and using complex survey data to answer substantive research questions.

    Richard G. Lomax is Professor Emeritus of Educational and Human Ecology at the Ohio State University, US, and former Associate Dean for Research and Administration. His research primarily focuses on early literacy and statistics.

    "This edition delivers on many fronts and sets this book apart from the rest. The clear and conversational style emphasizes the applied and practical without compromising the theoretical and conceptual underpinnings. The parallel use of SPSS and R that walks the reader step-by-step through the procedures coupled with fully annotated interpretation of printouts are very appealing to both novice and more seasoned applied researchers. Rather than treating subjects like power and effect size or verification of assumptions in isolation, the authors do a fantastic job of blending them with the analyses to make the story behind the numbers more compelling and complete. The abundance of visuals and APA style write-ups all contribute to simplify and enhance the learning experience." - Devdass Sunnassee, Assistant Clinical Professor, University of North Carolina, USA.

    "I have relied on previous versions of this textbook to bring to life statistical concepts in my beginning and intermediate level graduate classes. I also share this valuable resource with students who ask questions when working on quantitative projects. This fourth edition brings enhanced materials, explanations, and examples to aid students in gaining basic proficiency in foundational statistical concepts. The detailed and numerous practical examples demonstrate the inner workings of basic statistical methods in the social and behavioural sciences. I look forward to sharing this enhanced edition with our graduate program" -Brian F. French, Washington State University, USA.

    "Combining theory and mathematical accessibility with examples in various fields of behavioral sciences, SPSS and R applications, APA style write-ups, after-chapter conceptual and practice problems for students, online pedagogical aids, this is a valuable book for introductory statistical courses in behavioral sciences. It has a broad coverage of topics, and the addition of the new chapter on mediation and moderation adds to its value as a classroom text or as a reference for applied researchers." -Feifei Ye, RAND Corporation, USA.

    "Anyone familiar with previous editions of Statistical Concepts from Lomax and Hahs-Vaughn recognize and appreciate the pedigagogically sound treatment of statistical methods comprising introductory and intermediate topics found in many quantitative methods graduate programs. In addition to enhancements found in the past versions such as APA-style write-ups of statistical results and the numerous screen shots depicting both annotated SPSS input commands and output; the fourth edition begins each chapter with a concrete research scenario to motivate the particular statistical method. Another new feature that will resonate with instructors and graduate students are the insightful Stop and Think boxes that offer moments to reflect and to make connections between statistical ideas, data, and the software. Clearly, Lomax and Hahs-Vaughn are committed to preparing the next generation of researchers and practitioners, and the latest edition of Statistical Concepts is a must-have reference for those seeking this type of comprehensive quantitative methods training." - Jeffrey R. Harring, University of Maryland, College Park, USA.

    "I have required this textbook for my introductory and intermediate-level students throughout multiple editions, and it has continued to get better and better. This new edition continues to emphasize the development of statistical understanding while also providing readers with valuable information on how to perform a variety of procedures using SPSS and R. The authors have added a terrific new chapter on mediation and moderation that reviews concepts and procedures that are often not a point of emphasis in traditional (textbook) coverage of multiple regression (but that are crucial for more modern data analysis). This is a book that not only is a wonderful learning resource for students, but also one they will want to keep in their personal libraries to reference when carrying out their own future research." - H. Michael Crowson, The University of Oklahoma, USA.