Univariate Descriptive Statistics

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Contents

  1. Title page

  2. Statistics is Four Things

  3. Descriptive and Inferencial statistics

  4. Descriptive statistics are simple

  5. Inferential statistics are more complicated

  6. Descriptive vs Inferencial statistics

  7. Univariate, Bivariate, Multivariate

  8. The Plan

  9. Univariate Descriptive Statistics: to describe a sample

  10. Statistics vs Parameters

  11. Central Tendency and Dispersion

  12. Levels of scaling and statistics

  13. Central Tendency: mode, median, mean

  14. The Mode

  15. The Median

  16. A picture showing median and quartiles

  17. When you use the median and why

  18. The Mean

  19. Summation notation and the mean

  20. When you use the median and why

  21. Dispersion

  22. The less spread out the values are, ...

  23. For Nominal data, you can only do Information-theoretic Uncertainty

  24. The Inter Quartile Range (IQR)

  25. Variance

  26. Deviation Scores and variability

  27. A picture showing deviation scores

  28. The mean deviation score

  29. Why the mean deviation score is always zero

  30. The mean of the squared deviation scores

  31. Mean Square, Sum of Squares, and Variance

  32. Sample or Population variance

  33. Standard Deviation and Variance

  34. Mean Square and Root Mean Square

  35. Four things about Standard Deviation

  36. Standard scores, aka "z-scores"

  37. How to calculate standard scores

  38. Examples of standard scores

  39. A positive z-score means that ....

  40. Calculating Standard Deviation

  41. Pros and Cons of the basic equation

  42. An example of the basic equation showing how it works

  43. more of the example in #42

  44. The Computational Formula

  45. How the computational formula works

  46. The computational formula is less work and easier to do

  47. An example showing how the computational formula works

  48. How much work do you save?

  49. Why the computational formula is better

  50. Are you describing a sample or a population?

  51. The standard deviation and the mean

  52. z-scores and the normal distribution

  53. Scotland


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Univariate Descriptive Statistics

Last updated:
May 29, 2006

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(c) Copyright 2006 William D. Richards