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Rice Virtual Lab in Statistics: Sampling Distribution Simulation

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

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Rice Virtual Lab in Statistics: Sampling Distribution Simulation

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  1. Rice Virtual Lab in Statistics:Sampling Distribution Simulation David M. Lane Rice University Lane@rice.eduMerlot International ConferenceNew Orleans, LA, August 9, 2007 onlinestatbook.com/ onlinestatbook.com/rvls onlinestatbook.com/stat_sim/sampling_dist

  2. Acknowledgments Other Contributors to the RVLS Project:David ScottJan BenwayJoan LuZhihua TangAl Shea Mickey QuiñonesKeith BaggerlyJoe AustinMichael SwartzRichard Swartz 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.

  3. Introducing Sampling Distributions

  4. Animation

  5. Animation

  6. Five More Means Added

  7. 10,000 More Means Added

  8. Sampling Distributionof the Median

  9. Sampling Distributionof the Standard Deviation

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

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

  12. N Standard Deviation Variance Theoretical Variance reps 1 5.00 25.00 25.00 50,000 2 3.54 12.53 12.50 50,000 5 2.24 5.02 5.00 50,000 10 1.58 2.50 2.50 50,000 16 1.24 1.54 1.56 50,000 20 1.11 1.23 1.25 50,000 25 1.00 1.00 1.00 50,000 Effect of Sample Size on the Standard Error of the Mean

  13. Assessing Bias: Sample Mean

  14. Assessing Bias: Sample MeanUniform Distribution

  15. Assessing Bias: Sample MeanSkewed Distribution

  16. Assessing Bias: Sample MeanOdd Distribution

  17. Assessing Bias: Standard Deviation

  18. Assessing Bias: Variance

  19. Sampling Fluctuation:Comparing Mean and Median

  20. Sampling Fluctuation:Comparing Mean and Median

  21. Sampling Fluctuation:Comparing Mean and Median

  22. Central Limit Theorem

  23. Central Limit Theorem

  24. Central Limit Theorem

  25. Comparing Distributions

  26. Teaching Tips • 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

  27. 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.

  28. Case Study: Smiling and Leniency

  29. Case Study: Smiling and Leniency

  30. Analysis Lab

  31. Thank You!!

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