Mostly Harmless Statistics

by Rachel L. Webb

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This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE).

Description from LibreTexts.

Publisher
Portland State University
Subjects
Statistics, Introductory Statistics
Licence
CC BY-SA 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Introduction to Data
  7. 1.1: Introduction
  8. 1.2: Samples vs. Populations
  9. 1.3: Collecting Data and Sampling Techniques
  10. 1.4: Chapter 1 Exercises
  11. 2: Organizing Data
  12. 2.1: Introduction
  13. 2.2: Tabular Displays
  14. 2.3: Graphical Displays
  15. 2.4: Chapter 2 Exercises
  16. 3: Descriptive Statistics
  17. 3.1: Measures of Center
  18. 3.2: Measures of Spread
  19. 3.3: Measures of Placement
  20. 3.4: Chapter 3 Formulas
  21. 3.5: Chapter 3 Exercises
  22. 4: Probability
  23. 4.1: Introduction
  24. 4.2: Three Types of Probability
  25. 4.3: Complement Rule
  26. 4.4: Union and Intersection
  27. 4.5: Independent Events
  28. 4.6: Conditional Probability
  29. 4.7: Counting Rules
  30. 4.8: Chapter 4 Formulas
  31. 4.9: Chapter 4 Exercises
  32. 5: Discrete Probability Distributions
  33. 5.1: Introduction
  34. 5.2: Discrete Probability Distributions
  35. 5.3: Geometric Distributions
  36. 5.4: Binomial Distribution
  37. 5.5: Hypergeometric Distribution
  38. 5.6: Poisson Distribution
  39. 5.7: Chapter 5 Exercises
  40. 5.8: Chapter 5 Formulas
  41. 6: Continuous Probability Distributions
  42. 6.1: Introductions
  43. 6.2: Uniform Distribution
  44. 6.3: Exponential Distribution
  45. 6.4: Normal Distribution
  46. 6.5: The Central Limit Theorem
  47. 6.6: Chapter 6 Exercises
  48. 6.7: Chapter 6 Formulas
  49. 7: Confidence Intervals for One Population
  50. 7.1: Introduction
  51. 7.2: Confidence Interval for a Proportion
  52. 7.3: Sample Size Calculation for a Proportion
  53. 7.4: Z-Interval for a Mean
  54. 7.5: Interpreting a Confidence Interval
  55. 7.6: Sample Size for a Mean
  56. 7.7: t-Interval for a Mean
  57. 7.8: Chapter 7 Exercises
  58. 7.9: Chapter 7 Formulas
  59. 8: Hypothesis Tests for One Population
  60. 8.1: Introduction
  61. 8.2: Type I and II Errors
  62. 8.3: Hypothesis Test for One Mean
  63. 8.4: Hypothesis Test for One Proportion
  64. 8.5: Chapter 8 Exercises
  65. 8.6: Chapter 8 Formulas
  66. 9: Hypothesis Tests and Confidence Intervals for Two Populations
  67. 9.1: Two Sample Mean T-Test for Dependent Groups
  68. 9.2: Two Independent Groups
  69. 9.3: Two Proportion Z-Test and Confidence Interval
  70. 9.4: Two Variance or Standard Deviation F-Test
  71. 9.5: Chapter 9 Exercises
  72. 9.6: Chapter 9 Formulas
  73. 10: Chi-Square Tests
  74. 10.1: Chi-Square Distribution
  75. 10.2: Goodness of Fit Test
  76. 10.3: Test for Independence
  77. 10.4: Chapter 10 Formulas
  78. 10.5: Chapter 10 Exercises
  79. 11: Analysis of Variance
  80. 11.1: One-Way ANOVA
  81. 11.2: Pairwise Comparisons of Means (Post-Hoc Tests)
  82. 11.3: Two-Way ANOVA (Factorial Design)
  83. 11.4: Chapter 11 Formulas
  84. 11.5: Chapter 11 Exercises
  85. 12: Correlation and Regression
  86. 12.1: Correlation
  87. 12.1.1: Scatterplots
  88. 12.1.2: Hypothesis Test for a Correlation
  89. 12.2: Simple Linear Regression
  90. 12.2.1: Hypothesis Test for Linear Regression
  91. 12.2.2: Residuals
  92. 12.2.3: Coefficient of Determination
  93. 12.2.4: Prediction
  94. 12.2.5: Outliers
  95. 12.2.6: Conclusion - Simple Linear Regression
  96. 12.3: Multiple Linear Regression
  97. 12.4: Chapter 12 Formulas
  98. 12.5: Chapter 12 Exercises
  99. 13: Nonparametric Tests
  100. 13.1: Advantages and Disadvantages of Nonparametric Methods
  101. 13.2: Sign Test
  102. 13.3: Ranking Data
  103. 13.4: Wilcoxon Signed-Rank Test
  104. 13.5: Mann-Whitney U Test
  105. 13.6: Chapter 13 Formulas
  106. 13.7: Chapter 13 Exercises
  107. Back Matter
  108. Index
  109. Glossary
  110. Data Sources and References
  111. Greek Letter Pronunciations
  112. Mostly Harmless Statistics Formula Packet
  113. Symbols
  114. Detailed Licensing