Statistics

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Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)

  1. Statistics: The Average
  2. Statistics: Sample vs. Population Mean
  3. Statistics: Variance of a Population
  4. Statistics: Sample Variance
  5. Statistics: Standard Deviation
  6. Statistics: Alternate Variance Formulas
  7. Introduction to Random Variables
  8. Probability Density Functions
  9. Binomial Distribution 1
  10. Binomial Distribution 2
  11. Binomial Distribution 3
  12. Binomial Distribution 4
  13. Expected Value: E(X)
  14. Expected Value of Binomial Distribution
  15. Poisson Process 1
  16. Poisson Process 2
  17. Law of Large Numbers
  18. Normal Distribution Excel Exercise
  19. Introduction to the Normal Distribution
  20. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions
  21. ck12.org Normal Distribution Problems: z-score
  22. ck12.org Normal Distribution Problems: Empirical Rule
  23. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule
  24. ck12.org: More Empirical Rule and Z-score practice
  25. Central Limit Theorem
  26. Sampling Distribution of the Sample Mean
  27. Sampling Distribution of the Sample Mean 2
  28. Standard Error of the Mean
  29. Sampling Distribution Example Problem
  30. Confidence Interval 1
  31. Mean and Variance of Bernoulli Distribution Example
  32. Bernoulli Distribution Mean and Variance Formulas
  33. Margin of Error 1
  34. Margin of Error 2
  35. Confidence Interval Example
  36. Small Sample Size Confidence Intervals
  37. Hypothesis Testing and P-values
  38. One-Tailed and Two-Tailed Tests
  39. Z-statistics vs. T-statistics
  40. Type 1 Errors
  41. Small Sample Hypothesis Test
  42. T-Statistic Confidence Interval
  43. Large Sample Proportion Hypothesis Testing
  44. Variance of Differences of Random Variables
  45. Difference of Sample Means Distribution
  46. Confidence Interval of Difference of Means
  47. Clarification of Confidence Interval of Difference of Means
  48. Hypothesis Test for Difference of Means
  49. Comparing Population Proportions 1
  50. Comparing Population Proportions 2
  51. Hypothesis Test Comparing Population Proportions
  52. Squared Error of Regression Line
  53. Proof (Part 1) Minimizing Squared Error to Regression Line
  54. Proof (Part 3) Minimizing Squared Error to Regression Line
  55. Proof (Part 4) Minimizing Squared Error to Regression Line
  56. Regression Line Example
  57. Proof Part 2 Minimizing Squared Error to Line
  58. R-Squared or Coefficient of Determination
  59. Second Regression Example
  60. Calculating R-Squared
  61. Covariance and the Regression Line
  62. Chi-Square Distribution Introduction
  63. Pearson's Chi Square Test (Goodness of Fit)
  64. Contingency Table Chi-Square Test
  65. ANOVA 1 - Calculating SST (Total Sum of Squares)
  66. ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi
  67. ANOVA 3 -Hypothesis Test with F-Statistic
  68. Correlation and Causality