Book description
Concise, thoroughly class-tested primer that features basic statistical concepts in the concepts in the context of analytics, resampling, and the bootstrap
A uniquely developed presentation of key statistical topics, Introductory Statistics and Analytics: A Resampling Perspective provides an accessible approach to statistical analytics, resampling, and the bootstrap for readers with various levels of exposure to basic probability and statistics. Originally class-tested at one of the first online learning companies in the discipline, www.statistics.com, the book primarily focuses on applications of statistical concepts developed via resampling, with a background discussion of mathematical theory. This feature stresses statistical literacy and understanding, which demonstrates the fundamental basis for statistical inference and demystifies traditional formulas.
The book begins with illustrations that have the essential statistical topics interwoven throughout before moving on to demonstrate the proper design of studies. Meeting all of the Guidelines for Assessment and Instruction in Statistics Education (GAISE) requirements for an introductory statistics course, Introductory Statistics and Analytics: A Resampling Perspective also includes:
Over 300 "Try It Yourself" exercises and intermittent practice questions, which challenge readers at multiple levels to investigate and explore key statistical concepts
Numerous interactive links designed to provide solutions to exercises and further information on crucial concepts
Linkages that connect statistics to the rapidly growing field of data science
Multiple discussions of various software systems, such as Microsoft Office Excel®, StatCrunch, and R, to develop and analyze data
Areas of concern and/or contrasting points-of-view indicated through the use of "Caution" icons
Introductory Statistics and Analytics: A Resampling Perspective is an excellent primary textbook for courses in preliminary statistics as well as a supplement for courses in upper-level statistics and related fields, such as biostatistics and econometrics. The book is also a general reference for readers interested in revisiting the value of statistics.
Table of contents
- Cover Page
- Title Page
- Copyright
- Contents
- PREFACE
- Acknowledgments
- INTRODUCTION
-
1: DESIGNING AND CARRYING OUT A STATISTICAL STUDY
- 1.1 A SMALL EXAMPLE
- 1.2 IS CHANCE RESPONSIBLE? THE FOUNDATION OF HYPOTHESIS TESTING
- 1.3 A MAJOR EXAMPLE
- 1.4 DESIGNING AN EXPERIMENT
- 1.5 WHAT TO MEASURE—CENTRAL LOCATION
- 1.6 WHAT TO MEASURE—VARIABILITY
- 1.7 WHAT TO MEASURE—DISTANCE (NEARNESS)
- 1.8 TEST STATISTIC
- 1.9 THE DATA
- 1.10 VARIABLES AND THEIR FLAVORS
- 1.11 EXAMINING AND DISPLAYING THE DATA
- 1.12 ARE WE SURE WE MADE A DIFFERENCE?
- APPENDIX: HISTORICAL NOTE
- 1.13 EXERCISES
- 2: STATISTICAL INFERENCE
- 3: DISPLAYING AND EXPLORING DATA
- 4: PROBABILITY
- 5: RELATIONSHIP BETWEEN TWO CATEGORICAL VARIABLES
- 6: SURVEYS AND SAMPLING
-
7: CONFIDENCE INTERVALS
- 7.1 POINT ESTIMATES
- 7.2 INTERVAL ESTIMATES (CONFIDENCE INTERVALS)
- 7.3 CONFIDENCE INTERVAL FOR A MEAN
- 7.4 FORMULA-BASED COUNTERPARTS TO THE BOOTSTRAP
- 7.5 STANDARD ERROR
- 7.6 CONFIDENCE INTERVALS FOR A SINGLE PROPORTION
- 7.7 CONFIDENCE INTERVAL FOR A DIFFERENCE IN MEANS
- 7.8 CONFIDENCE INTERVAL FOR A DIFFERENCE IN PROPORTIONS
- 7.9 RECAPPING
- APPENDIX A: MORE ON THE BOOTSTRAP
- RESAMPLING PROCEDURE—PARAMETRIC BOOTSTRAP
- FORMULAS AND THE PARAMETRIC BOOTSTRAP
- APPENDIX B: ALTERNATIVE POPULATIONS
- APPENDIX C: BINOMIAL FORMULA PROCEDURE
- 7.10 EXERCISES
-
8: HYPOTHESIS TESTS
- 8.1 REVIEW OF TERMINOLOGY
- 8.2 A–B TESTS: THE TWO SAMPLE COMPARISON
- 8.3 COMPARING TWO MEANS
- 8.4 COMPARING TWO PROPORTIONS
- 8.5 FORMULA-BASED ALTERNATIVE— t -TEST FOR MEANS
- 8.6 THE NULL AND ALTERNATIVE HYPOTHESES
- 8.7 PAIRED COMPARISONS
- APPENDIX A: CONFIDENCE INTERVALS VERSUS HYPOTHESIS TESTS
- CONFIDENCE INTERVAL
- RELATIONSHIP BETWEEN THE HYPOTHESIS TEST AND THE CONFIDENCE INTERVAL
- COMMENT
- APPENDIX B: FORMULA-BASED VARIATIONS OF TWO-SAMPLE TESTS
- Z -TEST WITH KNOWN POPULATION VARIANCE
- POOLED VERSUS SEPARATE VARIANCES
- FORMULA-BASED ALTERNATIVE: Z -TEST FOR PROPORTIONS
- 8.8 EXERCISES
- 9: HYPOTHESIS TESTING—2
- 10: CORRELATION
- 11: REGRESSION
- 12: ANALYSIS OF VARIANCE—ANOVA
- 13: MULTIPLE REGRESSION
- INDEX
Product information
- Title: Introductory Statistics and Analytics: A Resampling Perspective
- Author(s):
- Release date: December 2014
- Publisher(s): Wiley
- ISBN: 9781118881354
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