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HCC: Introduction to Statistics

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HCC: Introduction to Statistics

Mathematics
Author
Matthew Lathrop
Publisher
Heartland Community College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 55 sections
  1. 01: Introducing Data
  2. 1.1: R and Data
  3. 1.2: How to download and install R
  4. 1.3: Introduction
  5. 1.4: Definitions of Statistics Probability and Key Terms
  6. 1.5: Data Sampling and Variation in Data and Sampling
  7. 02: Visualizing Data
  8. 2.1: Frequency Frequency Tables and Levels of Measurement
  9. 2.2: Histograms Frequency Polygons and Time Series Graphs
  10. 2.3: Box Plots
  11. 03: Summarizing Data
  12. 3.1: Measures of the Center of the Data
  13. 3.2: Skewness and the Mean Median and Mode
  14. 3.3: Measures of the Spread of the Data
  15. 3.4: Measures of the Location of the Data
  16. 04: Probability
  17. 4.1: Terminology
  18. 4.2: Independent and Mutually Exclusive Events
  19. 4.3: Two Basic Rules of Probability
  20. 4.4: Binomial Distribution
  21. 4.5: Mean or Expected Value and Standard Deviation
  22. 4.6: The Standard Normal Distribution
  23. 4.7: Using the Normal Distribution
  24. 05: Estimating Proportions
  25. 5.1: The Central Limit Theorem for Sample Means (Averages)
  26. 5.2: Using the Central Limit Theorem
  27. 5.3: A Population Proportion
  28. 5.4: A Single Population Mean using the Normal Distribution
  29. 06: Estimating Averages
  30. 6.1: The Central Limit Theorem for Sums
  31. 6.2: A Single Population Mean using the Student t-Distribution
  32. 07: Testing Proportions
  33. 7.1: Null and Alternative Hypotheses
  34. 7.2: Outcomes and the Type I and Type II Errors
  35. 7.3: Rare Events the Sample Decision and Conclusion
  36. 7.4: Additional Information and Full Hypothesis Test Examples
  37. 08: Testing Averages
  38. 8.1: Distribution Needed for Hypothesis Testing
  39. 8.2: Additional Information and Full Hypothesis Test Examples
  40. 09: Comparing 2 Averages
  41. 9.1: Two Population Means with Unknown Standard Deviations
  42. 9.2: Comparing Two Independent Population Proportions
  43. 9.3: Matched or Paired Samples
  44. 10: Comparing 3 or More Averages
  45. 10.1: One-Way ANOVA
  46. 10.2: Post-Hoc Analysis
  47. 11: Linear Models
  48. 11.1: Linear Equations
  49. 11.2: Scatter Plots
  50. 11.3: The Regression Equation
  51. 11.4: Testing the Significance of the Correlation Coefficient
  52. 11.5: Prediction
  53. 12: Categorical Data
  54. 12.1: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  55. 12.2: Test of Independence