Understanding Statistical Concepts Using S-plus

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.

Schumacker, Randall E.

PREFACE ACKNOWLEDGMENTS PART I: INTRODUCTION AND STATISTICAL THEORY 1. Statistical Theory 2. Generating Random Numbers 3. Frequency Distributions 4. Stem and Leaf Plots 5. Population Distributions 6. Measures of Central Tendency 7. Measures of Dispersion 8. Sample Size Effects 9. Tchebysheff Inequality Theorem 10. Normal Bell-Shaped Curve PART II: PROBABILITY AND PROBABILITY DISTRIBUTIONS 11. Probability 12. Joint Probability 13. Addition Law of Probability 14. Multiplication Law of Probability 15. Conditional Probability 16. Combinations and Permutations PART III: MONTE CARLO AND STATISTICAL DISTRIBUTIONS 17. Binomial Distribution 18. Monte Carlo Simulation 19. Normal Distribution 20. t Distribution 21. Chi-square distribution 22. F Distribution PART IV: SAMPLING AND INFERENCE 23. Sampling Distributions 24. Central Limit Theorem 25. Confidence Intervals 26. Hypothesis Testing 27. Type I Error 28. Type II Error PART V: HYPOTHESIS TESTING IN RESEARCH 29. z test statistic for proportions 30. Chi-square test statistic 31. t Test for Mean Differences 32. Analysis of Variance 33. Correlation 34. Linear Regression PART VI: REPLICABILITY OF FINDINGS 35. Cross Validation 36. Jackknife 37. Bootstrap 38. Meta-Analysis 39. Significance Testing vs. Practical Importance GLOSSARY OF TERMS ABOUT THE AUTHORS APPENDIX ANSWERS TO CHAPTER EXERCISES AUTHOR INDEX SUBJECT INDEX