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Introductory Statistics

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Introductory Statistics

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, e.g., a scientific, industrial, or societal problem, it is conventional to begin with a statistical population or a statistical model process to be studied.

Introductory StatisticsStatistics
Author
Shafer and Zhang
Publisher
LibreTexts
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 70 sections
  1. 01: Introduction to Statistics
  2. 1.01: Basic Definitions and Concepts
  3. 1.02: Overview
  4. 1.03: Presentation of Data
  5. 1.E: Introduction to Statistics (Exercises)
  6. 02: Descriptive Statistics
  7. 2.01: Three Popular Data Displays
  8. 2.02: Measures of Central Location - Three Kinds of Averages
  9. 2.03: Measures of Variability
  10. 2.04: Relative Position of Data
  11. 2.05: The Empirical Rule and Chebyshev's Theorem
  12. 2.E: Descriptive Statistics (Exercises)
  13. 03: Basic Concepts of Probability
  14. 3.01: Sample Spaces Events and Their Probabilities
  15. 3.02: Complements Intersections and Unions
  16. 3.03: Conditional Probability and Independent Events
  17. 3.E: Basic Concepts of Probability (Exercises)
  18. 04: Discrete Random Variables
  19. 4.01: Random Variables
  20. 4.02: Probability Distributions for Discrete Random Variables
  21. 4.03: The Binomial Distribution
  22. 4.E: Discrete Random Variables (Exercises)
  23. 05: Continuous Random Variables
  24. 5.01: Continuous Random Variables
  25. 5.02: The Standard Normal Distribution
  26. 5.03: Probability Computations for General Normal Random Variables
  27. 5.04: Areas of Tails of Distributions
  28. 5.E: Continuous Random Variables (Exercises)
  29. 06: Sampling Distributions
  30. 6.01: The Mean and Standard Deviation of the Sample Mean
  31. 6.02: The Sampling Distribution of the Sample Mean
  32. 6.03: The Sample Proportion
  33. 6.E: Sampling Distributions (Exercises)
  34. 07: Estimation
  35. 7.01: Large Sample Estimation of a Population Mean
  36. 7.02: Small Sample Estimation of a Population Mean
  37. 7.03: Large Sample Estimation of a Population Proportion
  38. 7.04: Sample Size Considerations
  39. 7.E: Estimation (Exercises)
  40. 08: Testing Hypotheses
  41. 8.01: The Elements of Hypothesis Testing
  42. 8.02: Large Sample Tests for a Population Mean
  43. 8.03: The Observed Significance of a Test
  44. 8.04: Small Sample Tests for a Population Mean
  45. 8.05: Large Sample Tests for a Population Proportion
  46. 8.E: Testing Hypotheses (Exercises)
  47. 09: Two-Sample Problems
  48. 9.01: Comparison of Two Population Means- Large Independent Samples
  49. 9.02: Comparison of Two Population Means - Small Independent Samples
  50. 9.03: Comparison of Two Population Means - Paired Samples
  51. 9.04: Comparison of Two Population Proportions
  52. 9.05: Sample Size Considerations
  53. 9.E: Two-Sample Problems (Exercises)
  54. 10: Correlation and Regression
  55. 10.01: Linear Relationships Between Variables
  56. 10.02: The Linear Correlation Coefficient
  57. 10.03: Modelling Linear Relationships with Randomness Present
  58. 10.04: The Least Squares Regression Line
  59. 10.05: Statistical Inferences About
  60. 10.06: The Coefficient of Determination
  61. 10.07: Estimation and Prediction
  62. 10.08: A Complete Example
  63. 10.09: Formula List
  64. 10.E: Correlation and Regression (Exercises)
  65. 11: Chi-Square Tests and F-Tests
  66. 11.01: Chi-Square Tests for Independence
  67. 11.02: Chi-Square One-Sample Goodness-of-Fit Tests
  68. 11.03: F-tests for Equality of Two Variances
  69. 11.04: F-Tests in One-Way ANOVA
  70. 11.E: Chi-Square Tests and F-Tests (Exercises)