1. Rice Virtual Lab in Statistics: Sampling Distribution Simulation David M. Lane Rice University Lane@rice.edu Lane@rice.edu Merlot International Conference New Orleans, LA, August 9, 2007 onlinestatbook.com/ onlinestatbook.com/rvls onlinestatbook.com/stat_sim/sampling_distrvls onlinestatbook.co

2. Acknowledgments Partial support for this work was provided by the National Science Foundation's Division of Undergraduate Education through grant DUE 9751307. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other Contributors to the RVLS Project: David Scott Jan Benway Joan Lu Zhihua Tang Al Shea Mickey Quiñones Keith Baggerly Joe Austin Michael Swartz Richard Swartz

4. Introducing Sampling Distributions

5. Animation

7. Five More Means Added

8. 10,000 More Means Added

9. Sampling Distribution of the Median

10. Sampling Distribution of the Standard Deviation

11. How Does Sample Size Affect the Standard Error of the Mean?

12. Effect of Sample Size on the Standard Error of the Mean

14. Assessing Bias: Sample Mean

15. Assessing Bias: Sample Mean Uniform Distribution

16. Assessing Bias: Sample Mean Skewed Distribution

17. Assessing Bias: Sample Mean Odd Distribution

18. Assessing Bias: Standard Deviation

19. Assessing Bias: Variance

20. Sampling Fluctuation: Comparing Mean and Median

23. Central Limit Theorem

26. Comparing Distributions

27. Ways of using the simulations In class Computer lab Homework Make students active Spoon feeding can make students feel good but not learn much Require students to anticipate results before they are presented Spoon feeding is often ineffective Teaching Tips

28. Evaluation Lane, D. & Tang, Z. (2000) Effectiveness of a simulation on transfer of statistical concepts. Journal of Educational Computing Research, 22, 381-394. Ziemer, H. & Lane, D. (2000) Evaluating the Efficacy of the Rice University Virtual Statistics Lab. Poster presented at the 22nd Annual Meeting of the National Institute on the Teaching of Psychology, St. Petersburg Beach, FL.

29. Case Study: Smiling and Leniency

31. Analysis Lab

32. Thank You!!