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Central Limit Theorem A Demonstration of SOCR

Central Limit Theorem A Demonstration of SOCR. It’s Online, Therefore It Exists!. Nicolas Christou and Ivo D. Dinov UCLA Department of Statistics www.SOCR.ucla.edu MERLOT International Conference New Orleans, Louisiana August 9, 2007. Outline. What is SOCR? How to access SOCR

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Central Limit Theorem A Demonstration of SOCR

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  1. Central Limit Theorem A Demonstration of SOCR It’s Online, Therefore It Exists! • Nicolas Christou and Ivo D. Dinov • UCLA Department of Statistics • www.SOCR.ucla.edu • MERLOT International Conference • New Orleans, Louisiana • August 9, 2007

  2. Outline • What is SOCR? • How to access SOCR • Components of SOCR • Distributions • Experiments (CLT) • Activities (Wiki) • Future Research and Development

  3. Accessing SOCR

  4. Distributions • FEATURES • 45+ Distributions • Graphs • PDFs • CDFs • Inverse CDFs • Moments

  5. Experiments • FEATURES • 60+ Experiments • Simulations • Summary Stats • Model vs. Sample

  6. Demonstration of CLT http://www.socr.ucla.edu/

  7. Default Setting for SOCR CLT Applet

  8. A single sample of size n = 16Normal population

  9. A single sample of size n = 16Exponential population

  10. 100 samples, each of size n = 100Exponential population

  11. Activities

  12. Future Research and Development • SOCR usage • Classroom testing for the effectiveness of SOCR (2005-06, 2006-07) • New tools under development • More SOCR activities for Wiki page • SOCR Workshop at UCLA, August 6-8, 2007

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