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Introduction to Using Statistical Analyses

Introduction to Using Statistical Analyses. Measures of Central Tendency (done . . .for now) Measures of Variability Writing Using the Standard Normal Curve. A Reminder of the Way We Note Things: Our Shorthand. A Reminder of the Way We Note Things: Our Shorthand.

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Introduction to Using Statistical Analyses

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  1. Introduction to Using Statistical Analyses • Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve

  2. A Reminder of the Way We Note Things: Our Shorthand

  3. A Reminder of the Way We Note Things: Our Shorthand

  4. A Reminder of the Way We Note Things: Our Shorthand

  5. A Reminder of the Way We Note Things: Our Shorthand

  6. A Reminder of the Way We Note Things: Our Shorthand

  7. Population and Sample Means

  8. Population and Sample Means

  9. Introduction to Using Statistical Analyses • Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve

  10. Assessing Dispersion by Looking at Spread Data 2 5 8 Mean = 5

  11. Assessing Dispersion by Looking at Spread Data 2 5 8 Mean = 5 How far from the mean are the data?

  12. Starting to Assess the Variance 2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3

  13. A Formula to Assess the Variance 2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9

  14. A Formula to Assess the Variance 2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 18 =

  15. A Formula to Assess the Variance 2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 18 =

  16. A Formula to Assess the Variance 2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 THE VARIANCE 18 =

  17. Sample and Population Standard Deviations

  18. SAMPLE AND POPULATION TERMS Sample Population

  19. SAMPLE AND POPULATION TERMS Sample Population Mean

  20. SAMPLE AND POPULATION TERMS Sample Population Mean Variance

  21. SAMPLE AND POPULATION TERMS Sample Population Mean Variance Standard Deviation

  22. Introduction to Using Statistical Analyses • Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve

  23. Introduction to Using Statistical Analyses • Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve

  24. Standard Normal Curve

  25. Standard Normal Curve = 0 - 3 s + 3 s = 1

  26. z Scores when Data Do Not Already Have a Mean of 0 and a Standard Deviation of 1

  27. z Scores when Data Do Not Already Have a Mean of 0 and a Standard Deviation of 1 or

  28. Areas under the Standard Normal Curve z = -1.67 z = 1 0

  29. Areas under the Standard Normal Curve z = -1.75 z = 1.75 0

  30. Areas under the Standard Normal Curve z = 1 0

  31. Correlations

  32. Correlation Example Speaking Skill X Writing Skill Y 1 2 3 4 5 3 4 7 5 6

  33. Correlation Chart * 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill

  34. Correlation Chart * 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill

  35. Correlation Chart * 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill

  36. Correlation Example Using z scores Speaking Skill X Writing Skill Y Zy Zx 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63

  37. Correlation Example Using z scores Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8

  38. Correlation Example Using z scores Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8 SUM = _ 2.81 __ n-1 = 4

  39. Correlation Example Using z scores Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8 =.70 SUM = _ 2.81 __ n-1 = 4

  40. Correlation Example Speaking Skill X Writing Skill Y 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1

  41. Correlation Example Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2

  42. Correlation Example Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2 = 7

  43. Correlation Example Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2 = 7 n-1 = 4

  44. Correlation Computation

  45. Correlation Computation

  46. Correlation Computation

  47. Correlation Computation

  48. Correlation Computation

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