Workshop Statistics: Discovery with Data, 3rd Edition

by Allan J. Rossman (California Polytechnic State University, San Luis Obispo); Beth L. Chance

• ISBN13: 9780470412664
• ISBN10: 0470412666
• Edition: 3rd
• Format: Paperback
• Copyright: 2008-06-01
• Publisher: Wiley

Summary

Activities utilize the principles of student engagement and active learning and place stronger emphasis on developing students' conceptual understanding of key statistical ideas Focus is on real, genuine data that students generate themselves to teach the real-world relevance of statistics Nearly half the activities require the use of a software package or graphing calculator, but this version of the text refers to technology generically and does not provide instructions for particular software Teaches and requires group work, student writing and communication, and problem identification and solving Models the philosophy and conforms to the research conclusions of two important sets of studies and recommendations: Garfield's "How Students Learn Statistics" and the "GAISE Guidelines"

Author Biography

Allan Rossman and Beth Chance, professors of statistics at California Polytechnic State University in San Luis Obispo, are coauthors of the Workshop Statistics coursebook series and Investigating Statistical Concepts, Applications, and Methods (Duxbury). They have received several grants from the National Science Foundation to support curriculum development projects for introductory statistics. They have also served as coeditors of STATS: The Magazine for Students of Statistics and the Proceedings of the Seventh International Conference on Teaching Statistics. They have published articles on teaching statistics in The American Statistician and The College Mathematics Journal, and have given scores of statistics education presentations and workshops nationally and internationally. They recently received an award from the MAA's special interest group on statistics for a presentation about assessment in a session about implementing GAISE guidelines. Both have served in various leadership roles for the Advanced Placement program in Statistics.

Allan Rossman received his PhD in statistics from Carnegie Mellon University. Before he came to Cal Poly, he taught for twelve years at Dickinson College in Pennsylvania, where he served a term as department chair. He is president of the International Association for Statistics Education from 2007–2009 and was the Program Chair for the 2007 Joint Statistical Meetings. He has served as chair of the ASA's Section on Statistical Education and of the ASA/MAA Joint Committee on Undergraduate Statistics. He was selected as Fellow of the American Statistical Association in 2001. Allan served as project director for the Mathematical Association of America's NSF-funded STATS (Statistical Thinking with Active Teaching Strategies) project, which conducted workshops for mathematicians who teach statistics.

Beth Chance received her PhD in operations research, with an emphasis in statistics and a minor in education from Cornell University. She taught at University of the Pacific before moving to Cal Poly. She has served on the Test Development Committee for Advanced Placement Statistics and as secretary/treasurer of the ASA Section on Statistical Education. She was the inaugural recipient of the American Statistical Association's Waller Education Award for Excellence and Innovation in Teaching Introductory Statistics in 2002 and received the 2003 Mu Sigma Rho Statistical Education Award. She was selected as a Fellow of the ASA in 2005. Beth's professional interests include development of curricular materials for introductory statistics and research into how students learn statistics, particularly on the role of assessment and technology. She and her collaborators have published in the Journal of Statistics Education and the Statistics Education Research Journal (SERJ), and she has collaborated on several chapters and books aimed at enhancing teacher preparation to teach statistics. She currently serves as the assistant editor for SERJ.

Table of Contents

Annotated Contents ix Preface xv To the Student xxi Organization of Workshop Statistics xxiii List of Activities by Application xxix List of Activities Using Student-Generated Data xxxvi UNIT 1 Collecting Data and Drawing Conclusions 1 TOPIC 1 Data and Variables 3 TOPIC 2 Data and Distributions 14 TOPIC 3 Drawing Conclusions from Studies 32 TOPIC 4 Random Sampling 51 TOPIC 5 Designing Experiments 73 UNIT 2 Summarizing Data 91 TOPIC 6 Two-Way Tables 93 TOPIC 7 Displaying and Describing Distributions 118 TOPIC 8 Measures of Center 140 TOPIC 9 Measures of Spread 159 TOPIC 10 More Summary Measures and Graphs 184 UNIT 3 Randomness in Data 207 TOPIC 11 Probability 209 TOPIC 12 Normal Distributions 232 TOPIC 13 Sampling Distributions: Proportions 252 TOPIC 14 Sampling Distributions: Means 274 TOPIC 15 Central Limit Theorem 294 UNIT 4 Inference from Data: Principles 309 TOPIC 16 Confidence Intervals: Proportions 311 TOPIC 17 Tests of Significance: Proportions 333 TOPIC 18 More Inference Considerations 353 TOPIC 19 Confidence Intervals: Means 371 TOPIC 20 Tests of Significance: Means 393 UNIT 5 Inference from Data: Comparisons 411 TOPIC 21 Comparing Two Proportions 413 TOPIC 22 Comparing Two Means 438 TOPIC 23 Analyzing Paired Data 462 UNIT 6 Inferences with Categorical Data 483 TOPIC 24 Goodness-of-Fit Tests 485 TOPIC 25 Inference for Two-Way Tables 506 UNIT 7 Relationships in Data 529 TOPIC 26 Graphical Displays of Association 531 TOPIC 27 Correlation Coefficient 552 TOPIC 28 Least Squares Regression 574 TOPIC 29 Inference for Correlation and Regression 601 TABLE I Random Digits 621 TABLE II Standard Normal Probabilities 623 TABLE III t-Distribution Critical Values 625 TABLE IV Chi-Square Distribution Critical Values 626 APPENDIX A Student Glossary 627 APPENDIX B Sources for Studies and Datasets 633 APPENDIX C List of Data Files and Applets 647 INDEX 649