1st Edition

Understanding Statistical Concepts Using S-plus

By Randall E. Schumacker, Allen Akers Copyright 2001
    386 Pages
    by Psychology Press

    386 Pages
    by Routledge

    Written as a supplemental text for an introductory or intermediate statistics course, this book is organized along the lines of many popular statistics texts. The chapters provide a good conceptual understanding of basic statistics and include exercises that use S-PLUS simulation programs. Each chapter lists a set of objectives and a summary.

    The book offers a rich insight into how probability has shaped statistical procedures in the behavioral sciences, as well as a brief history behind the creation of various statistics. Computational skills are kept to a minimum by including S-PLUS programs that run the exercises in the chapters. Students are not required to master the writing of S-PLUS programs, but explanations of how the programs work and program output are included in each chapter. S-PLUS is an advanced statistical package that has an extensive library of functions, which offer flexibility in writing customized routines.

    The S-PLUS functions provide the capability of programming object and dialog windows, which are commonly used in Windows software applications. The S-PLUS program also contains pull-down menus for the statistical analysis of data.

    A ZIP file containing programs that work in S-PLUS 6.2 for use with this book is available for download from http://www.psypress.com/resources/9780805836233.zip - please note that these scripts will only run in S-PLUS 6.2 and not later versions due to changes in the programming language syntax.

    Contents: Preface. Part I: Introduction and Statistical Theory. Statistical Theory. Generating Random Numbers. Frequency Distributions. Stem and Leaf Plots. Population Distributions. Measures of Central Tendency. Measures of Dispersion. Sample Size Effects. Tchebysheff Inequality Theorem. Normal Bell-Shaped Curve. Part II: Probability and Probability Distributions. Probability. Joint Probability. Addition Law of Probability. Multiplication Law of Probability. Conditional Probability. Combinations and Permutations. Part III: Monte Carlo and Statistical Distributions. Binomial Distribution. Monte Carlo Simulation. Normal Distribution. t Distribution. Chi-square Distribution. F Distribution. Part IV: Sampling and Inference. Sampling Distributions. Central Limit Theorem. Confidence Intervals. Hypothesis Testing. Type I Error. Type II Error. Part V: Hypothesis Testing in Research. z Test Statistic for Proportions. Chi-square Test Statistic. t Test for Mean Differences. Analysis of Variance. Correlation. Linear Regression. Part VI: Replicability of Findings. Cross Validation. Jackknife. Bootstrap. Meta-Analysis. Significance Testing vs. Practical Importance. Appendix.

    Biography

    Schumacker, Randall E.

    "A particularly useful feature of each chapter is the summary, which, in a succinct fashion, lists the concepts to be mastered."
    CHOICE

    "With the inclusion of S-Plus script files, their book [Schumacker/Akers] is intended to help students understand the statistical concepts covered in the classroom and in the primary textbook, as well as to introduce them to the S-Plus statistical software".
    The American Statistician

    "This book is a beginning statistics text that contains many S-Plus routines which have been supplied on an accompanying CD. The book is a potential vehicle for learning S-Plus by means of the hands-on approach of understanding the many existing routines."
    Journal of Mathematics Psychology