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Success at Statistics


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Table of Contents

Part A: Descriptive Statistics 1. Why is the Study of Statistics Important? 2. Descriptive Versus Inferential Statistics 3. Scales of Measurement 4. Frequencies, Percentages, and Proportions 5. Introduction to Frequency Distributions 6. Frequency Distribution for Grouped Data 7. Cumulative Frequencies, Cumulative Percentages, and Percentile Ranks 8. Histograms 9. Frequency Polygons 10. Shapes of Distributions 11. Introduction to Summation 12. The Mean: An Average 13. Mean, Median, and Mode 14. Variability: The Range and Interquartile Range 15. Variability: Introduction to the Standard Deviation 16. A Closer Look at the Standard Deviation 17. Another Look at the Standard Deviation 18. Standard Scores 19. Transformed Standard Scores 20. Standard Scores and the Normal Curve 21. Conceptual Introduction to Correlation 22. Scattergrams Part B: Inferential Statistics 23. Introduction to Sampling 24. A Closer Look at Sampling 25. Introduction to Probability 26. Probability and the Normal Curve 27. Percentiles and the Normal Curve 28. Standard Error of the Mean 29. Confidence Interval for the Mean 30. Appropriate Figures 31. Introduction to the Null Hypothesis 32. Decisions About the Null Hypothesis 33. Introduction to the Pearson r 34. Computation of the Pearson r 35. Significance of a Pearson r 36. Coefficient of Determination 37. Multiple Correlation 38. Introduction to Linear Regression 39. Computations for Linear Regression 40. z Test for One Sample 41. When to Reject the Null Hypothesis 42. One-Tailed Versus Two-Tailed Tests 43. Introduction to the HSD Test 44. Computation of t for Independent Data 45. Reporting the Results of t Tests 46. Computation of t for Dependent Data 47. Introduction to Analysis of Variance 48. Computations for a One-Way ANOVA 49. Tukey's HSD Test 50. Scheffe's Test 51. Introduction to Two-Way ANOVA 52. Significance of the Difference Between Variances 53. Introduction to Chi-Square 54. Computations for a One-Way Chi-Square 55. Computations for a Two-Way Chi-Square 56. Cramer's Phi 57. Median Test 58. Mann-Whitney U Test 59. Wilcoxon's Matched-Pairs Test Part C: Putting It All Together 60. Descriptive Statistics: Their Value in Research 61. Inferential Statistics: Their Value in Research 62. Limitations of Inferential Statistics: I 63. Limitations of Inferential Statistics: II 64. Statistical Versus Practical Significance Part D: Effect 65. Introduction to Effect Size (d) 66. Interpretation of Effect Size (d) 67. Effect Size and Correlation (r) Part E: Supplement Basic Math Review for Statistics Students Appendices A. Computational Formulas for the Standard Deviation B. Notes on Interpreting the Pearson r C. Definition Formula for the Pearson r D. Spearman's rho E. Standard Error of Estimate F. Standard Error of a Median and a Percentage G. Confidence Interval for the Mean: Small Samples H. Computation of the Precise Median I. A Closer Look At Effect Size J. Summary of Statistical Equations Tables 1. Table of the Normal Curve 2. Table of Random Numbers 3. Constants Based on t for Computing Confidence Intervals for the Mean Based on Small Samples 4. Critical Values of t for Two-Tailed t Test 5. Critical Values of t for One-Tailed t Test 6. Critical Values of F for the .05 Level 7. Critical Values of F for the .01 Level 8. Studentized Range Statistic (q) for the .05 Level 9. Studentized Range Statistic (q) for the .01 Level 10. Minimum Values for Significance of a Pearson r 11. Critical Values of Chi-Square 12. Critical Values of U for the .05 Level 13. Critical Values of U for the .01 Level 14. Critical Values of T for Wilcoxon's Matched-Pairs Test Index

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