Statistics

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This text was adapted by #OpenCourseWare under an Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

Chapter 1: Introduction to Statistics and Statistical Thinking

  • Overview

Chapter 2: Statistics in Practice

  • Observational Studies
  • Controlled Experiments

Chapter 3: Visualizing Data

  • The Histogram
  • Graphing Data

Chapter 4: Frequency Distributions

  • Frequency Distributions for Quantitative Data
  • Frequency Distributions for Qualitative Data

Chapter 5: Describing, Exploring, and Comparing Data

  • Central Tendency
  • Measures of Relative Standing
  • The Law of Averages
  • Further Considerations for Data

Chapter 6: Measures of Variation

  • Describing Variability

Chapter 7: Sampling

  • Populations and Samples
  • Sample Surveys
  • Sampling Distributions
  • Errors in Sampling
  • Sampling Examples

Chapter 8: Probability

  • What Are the Chances?
  • Probability Rules
  • More About Chance

Chapter 9: Probability and Variability

  • Discrete Random Variables
  • The Binomial Random Variable
  • Other Random Variables

Chapter 10: Continuous Random Variables

  • The Normal Curve
  • Normal Approximation
  • Measurement Error
  • Expected Value and Standard Error
  • Normal Approximation for Probability Histograms

Chapter 11: Correlation and Regression

  • Correlation
  • More About Correlation
  • Regression
  • The Regression Line
  • R.M.S. Error for Regression
  • Multiple Regression

Chapter 12: Estimation and Hypothesis Testing

  • Estimation
  • Statistical Power
  • Comparing More than Two Means
  • Confidence Intervals
  • Hypothesis Testing: One Sample
  • Hypothesis Testing: Two Samples
  • Hypothesis Testing: Correlations
  • One-Way ANOVA
  • Two-Way ANOVA
  • Repeated-Measures ANOVA

Chapter 13: Other Hypothesis Tests

  • The t-Test
  • The Chi-Squared Test
  • Tests for Ranked Data
  • Nonparametric Statistics

Chapter 14: A Closer Look at Tests of Significance

  • Which Test?
  • A Closer Look at Tests of Significance