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Teaching Statistical Concepts with Simulated Data

Teaching Statistical Concepts with Simulated Data. Andrej Blejec National Institute of Biology and University of Ljubljana Ljubljana, Slovenia andrej.blejec@nib.si. Kinds of data. real life data invented data simulated data. Real life data. interesting for students

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Teaching Statistical Concepts with Simulated Data

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  1. Teaching Statistical Concepts with Simulated Data Andrej Blejec National Institute of Biology andUniversity of Ljubljana Ljubljana, Slovenia andrej.blejec@nib.si

  2. Kinds of data • real life data • invented data • simulated data Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  3. Real life data • interesting for students • need subject matter knowledge to interpret statistical results • oversimplified problems • complex problems • unclear relevance of statistical results Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  4. Invented data • a collection of data, no story • useful mostly for calculation drill • no possible interpretation of results • uninteresting for students Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  5. Simulated data • sampled from known distribution • composed according to prespecified modele.g. Y = a + b * X + e, with known distribution of X and e • known statistical propertiese.g. mean, variance, regression coefficient • analysis results can be compared to true values Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  6. Goals of teaching statistics • interest for statistics • understanding of statistical methods • skills in use of statistics • experiences in analyzing data • other ( insert your own :) ___________ Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  7. Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  8. Sun Absorption spectrum Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  9. Hydrogen Sun Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  10. Hydrogen Sun Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  11. Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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  22. Least squares estimate of the mean

  23. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  24. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  25. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  26. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  27. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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  29. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  30. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  31. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  32. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  33. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  34. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  35. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  36. Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  37. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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  40. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  41. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  42. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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  44. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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  46. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  47. Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  48. True mean value μ LS estimate Mean squared deviations Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

  49. Maximum likelihood estimation of the mean

  50. Workshop in Methodology of Teaching Statistics / Novi Sad, December 13, 2011

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