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Final Review Topics List
Chapter 1
1. Stemplots (Components & Example)
2. Histograms (Components & Example)
3. Examining Distributions (Required Observations)
4. Shapes of Distributions (Descriptions and Pictures for all five, can include irregular as sixth if you want)
5. Quartiles and IQR (What are they, variables, and calculations)
6. Outliers (the test for determining if there are outliers)
7. BoxPlot Components
8. Standard Deviation and Variance
9. Linear Transformations (what is effected by them)
Chapter 2
10. Density Curve Properties (what makes it a density curve?)
11. Z-Scores and Areas
12. Empirical Rule
13. Probability Plots: Characteristics for normality
Chapter 3
14. Response and Explanatory Variables
15. Scatterplots: Components
16. Interpreting Scatterplots (Required Observations)
17. Correlation (r) and Coefficient of Determination (r2)
18. Least Squares Regression Line (include component computations like slope and intercept as well)
19. Interpolation and Extrapolation
20. Computing and Interpreting Residuals
21. Outliers, Influential Points, and lurking variables in a scatterplot
Chapter 4
22. Exponential Models (include an example of a transformation – becomes linear when…)
23. Power Models (include an example of a transformation – becomes linear when…)
24. Two-Way table and components (row and column variables)
25. Marginal & Conditional Distributions
26. Establishing Causation (include examples of causation, common response, and confounding)
Chapter 5
27. Observational vs. Experimental Studies (how can you tell the difference?)
28. Population and Samples
29. Types of Sampling (Valid and Invalid)
30. Types of Bias and how they are caused
31. Components of an Experiment
32. Three Principles of Experimental Design
33. Blocking and Matched Pairs (make sure to include the purpose)
34. Blinding (Single and Double)
Chapter 6
35. Simulations (required components/steps as well)
36. Probability Rules (with examples)
37. Independence and Multiplication Rule
38. Mutually Exclusive and Non-mutually exclusive events(disjoint and nondisjoint)
39. Conditional Probability
Chapter 7
40. Discrete Vs. Continuous Random Variables
41. Mean and Variance of Random Variables
42. Law of Large Numbers
Chapter 8
43. Binomial Probability and Coefficient (pdf vs. cdf; setting and calculations)
44. Mean and Standard Deviation of Binomial Distributions
45. Geometric Probability (pdf vs cdf; setting and calculations)
46. Mean of Geometric Distributions
Chapter 9
47. Parameters Vs. Statistics
48. Sampling variability and Bias
49. Sample Proportions (mean, standard deviation, and the effects of sample size)
50. Sample means (mean, standard deviation, and Central Limit Theorem)
Chapter 10
51. Confidence interval for Mu with known sigma (include steps and conditions)
52. Confidence interval for Mu with unknown sigma (include steps, conditions and how it is robust)
53. Confidence interval for p (include steps and conditions)
54. Margin of error (the effects of sample size as well)
55. Paired t procedures
Chapter 11
56. Significance tests for Mu (with known sigma; include steps and conditions)
57. Type I Errors (what effects chances)
58. Type II Errors and Power (what effects chances)
Chapter 12
59. Significance tests for Mu unknown sigma (include steps and conditions)
60. Significance tests for p (include steps and conditions)
61. Paired t tests (include steps and conditions)
Chapter 13
62. Significance tests for Mu (unknown sigma) of two populations (include steps and conditions)
63. Confidence Intervals for Mu (unknown sigma) of two populations (include steps and conditions)
64. Significance tests for p of two populations (include steps and conditions)
65. Confidence Intervals for p of two populations (include steps and conditions)
Chapter 14
66. Chi-Square Goodness of Fit (include steps and conditions)
67. Chi-Square Test for homogeneity (include steps and conditions)
68. Chi-Square Test for independence/association (include steps and conditions)
Chapter 15
69. Conditions for Regression Model
70. Confidence Intervals for Regression Slope (include steps and conditions)
71. Hypothesis Test of Regression (linear relationship; include steps and conditions)
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