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Rice Virtual Lab in Statistics: Sampling Distribution Simulation. David M. Lane Rice University [email protected] 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 l.jpg
Rice Virtual Lab in Statistics:Sampling Distribution Simulation

David M. Lane

Rice University

[email protected] International ConferenceNew Orleans, LA, August 9, 2007

onlinestatbook.com/

onlinestatbook.com/rvls onlinestatbook.com/stat_sim/sampling_dist


Acknowledgments l.jpg
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.







Sampling distribution of the median l.jpg
Sampling Distributionof the Median


Sampling distribution of the standard deviation l.jpg
Sampling Distributionof the Standard Deviation




Effect of sample size on the standard error of the mean13 l.jpg

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



Assessing bias sample mean uniform distribution l.jpg
Assessing Bias: Sample MeanUniform Distribution


Assessing bias sample mean skewed distribution l.jpg
Assessing Bias: Sample MeanSkewed Distribution





Sampling fluctuation comparing mean and median l.jpg
Sampling Fluctuation:Comparing Mean and Median


Sampling fluctuation comparing mean and median21 l.jpg
Sampling Fluctuation:Comparing Mean and Median


Sampling fluctuation comparing mean and median22 l.jpg
Sampling Fluctuation:Comparing Mean and Median






Teaching tips l.jpg
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


Evaluation l.jpg
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.






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