Statistics 10: Introduction to Statistical Reasoning

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For the course syllabus click here.

Useful links:

For some of the labs you will need to access the Statistics Online Computational Resource (SOCR) at:
  • http://www.socr.ucla.edu

    It's online, therefore it exists!


    The labs are listed under the following link (instructions will be given as to which lab is due when etc. - mainly distributions and experiments activities):
  • http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials.
  • Probability and Statistics EBook.
  • Download R and packages.
  • Download RStudio.

    Read this:

  • Numbers matter (text file).

    Labs

  • Lab 1: Data analysis using R. Due on Friday, 09 October, before 22:00.
  • Lab 1a: Solutions to lab 1.
  • Lab 2: Simple regression. Due on Friday, 16 October, before 22:00.
  • Lab 2a: Solutions to lab 2.
  • Lab 3: North Carolina SIDS data and permutation test in simple regression. Due on Friday, 10/23 before 22:00.
  • Lab 3a: Solutions to lab 3.
  • Lab 4: Binomial, hypergeometric, normal distributions. Due on Sunday, 11/08 before 22:00.
  • Lab 4a: Solutions to lab 4.
  • Lab 5: Central limit theorem. Due on Friday, 11/13 before 22:00.
  • Lab 5a: Solutions to lab 5.
  • Lab 6: Confidence intervals. Due on Sunday, 11/22 before 22:00.
  • Lab 6a: Solutions to lab 6.

    Handouts

  • 1. "Statistics in the courtroom", by George Cobb and Stephen Gehlbach.
  • 2. Measures of central tendency and variation.
  • 3. Introduction to R.
  • 4. Some R commands.
  • 5. Practice problems - 1.
  • 6. Introduction to regression analysis.
  • 7. Variability around fitted line.
  • 8. Leverage values and outliers in regression - example.
  • 9. Influential analysis - example.
  • 10. Influential analysis - R commands for handouts 8 and 9.
  • 11. Financial data.
  • 12. Convert adjusted close prices into returns.
  • 13. Introduction to portfolio theory.
  • 14. Example using stockPortfolio package.
  • 15. Simulation-based inference (permutation test).
  • 16. Permutation test (test for beta1=1).
  • 17. Article on simple regression analysis.
  • 18. Practice problems - 1 - solutions.
  • 19. Probability.
  • 20. Probability - solutions.
  • 21. Discrete random variables (introduction).
  • 22. Practice problems - probability.
  • 23. Discrete probability distributions (only binomial and hypergeometric).
  • 24. Normal distribution.
  • 25. Binomial, hypergeometric, normal distributions using R.
  • 26. Normal approximation to binomial - example using R.
  • 27. Exam 1 - solutions.
  • 28. Practice exam 2.
  • 29. Linear combinations of normally distributed random variables.
  • 30. Central limit theorem.
  • 31. Practice exam 2 - solutions.
  • 32. Confidence intervals.
  • 33. Bootstrap confidence intervals.
  • 34. Confidence intervals for the difference in two populaton means.
  • 35. Confidence intervals - answers to sample problems.
  • 36. The chi-squared and t distributions.
  • 37. Hypothesis testing.
  • 38. Exam 2 - solutions.
  • 39. Pracice problems: Confidence intervals and hypothesis testing.
  • 39a. Pracice problems: Solutions to #39.
  • 40. Pracice problems: Hypothesis testing.
  • 40a. Practice problems: Solutions to #40.
  • 41. Lecture notes - 25 November.
  • 41a. Lecture notes - 25 November.
  • 42. Article related to the paired-t test.
  • 43. Testing for two population means.
  • 44. Two sample test - example.
  • 45. Analysis of variance (ANOVA).
  • 46. ANOVA - example.

    Homework

  • Homework 1: Due on Tuesday, 10/06.
  • Homework 1a: Solutions.
  • Homework 2: Due on Thursday, 15 October.
  • Homework 2a: Solutions.
  • Homework 3: Due on Tuesday, 03 November.
  • Homework 3a: Solutions.
  • Homework 4: Due on Thursday, 05 November.
  • Homework 4a: Solutions.
  • Homework 5: Due on Tuesday, 10 November.
  • Homework 5a: Solutions.
  • Homework 6: Due on Tuesday, 24 November.
  • Homework 6a: Solutions.
  • Homework 7: Due on Wednesday, 02 December.
  • Homework 7a: Solutions.

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