Introduction to Statistics

Table of Contents

Course Contents
• About This Course
• Course Contents at a Glance
• Learning Outcomes
Faculty Resources
• OHM Assessments
• I Need Help
Module 1: Sampling and Data
• Introduction to Sampling and Data
• Definitions of Statistics, Probability, and Key Terms
• Sampling and Data
• Frequency, Frequency Tables, and Levels of Measurement
• Experimental Design and Ethics
• Section Exercises
• Answers to Selected Exercises
Module 2: Descriptive Statistics
• Introduction to Descriptive Statistics
• Stem-and-Leaf Graphs (Stemplots)
• Histograms, Frequency Polygons, and Time Series Graphs
• Measures of the Location of the Data
• Box Plots
• Measures of the Center of the Data
• Skewness and the Mean, Median, and Mode
• Measures of the Spread of Data
• When to use each measure of Central Tendency
• Section Exercises
Module 3: Probability
• Introduction to Probability Topics
• The Terminology of Probability
• Independent and Mutually Exclusive Events
• Two Basic Rules of Probability
• Contingency Tables
• Tree and Venn Diagrams
• Section Exercises

Module 4: Discrete Random Variables

• Introduction to Discrete Random Variables
• Probability Distribution Function (PDF) for a Discrete Random Variable
• Mean or Expected Value and Standard Deviation
• Binomial Distribution
• Geometric Distribution
• Poisson Distribution
• Section Exercises

Module 5: Continuous Random Variables

• Introduction to Continuous Random Variables
• Continuous Probability Functions
• The Uniform Distribution
• The Exponential Distribution
• Section Exercises

Module 6: Normal Distribution

• Introduction to the Normal Distribution
• The Standard Normal Distribution
• Using the Normal Distribution
• Section Exercises

Module 7: The Central Limit Theorem

• Introduction to the Central Limit Theorem
• The Central Limit Theorem for Sample Means (Averages)
• The Central Limit Theorem for Sums
• Using the Central Limit Theorem
• Section Exercises

Module 8: Confidence Intervals

• Introduction to Confidence Intervals
• A Single Population Mean using the Normal Distribution
• A Single Population Mean using Student's t Distribution
• A Population Proportion
• Section Exercises

Module 9: Hypothesis Testing With One Sample

• Introduction to Hypothesis Testing with One Sample
• Null and Alternative Hypotheses
• Outcomes and the Type I and Type II Errors
• Distribution Needed for Hypothesis Testing
• Rare Events, the Sample, Decision and Conclusion
• Additional Information and Full Hypothesis Test Examples
• Section Exercises

Module 10: Hypothesis Testing With Two Samples

• Introduction to Hypothesis Testing with Two Samples
• Two Population Means with Unknown Standard Deviations
• Two Population Means with Known Standard Deviations
• Comparing Two Independent Population Proportions
• Matched or Paired Samples
• Section Exercises

Module 11: The Chi Square Distribution

• Introduction to The Chi-Square Distribution
• Facts About the Chi-Square Distribution
• Goodness-of-Fit Test
• Test of Independence
• Test for Homogeneity
• Comparison of the Chi-Square Tests
• Test of a Single Variance
• Section Exercises

Module 12: Linear Regression and Correlation

• Introduction to Linear Regression and Correlation
• Linear Equations
• Scatter Plots
• The Regression Equation
• Testing the Significance of the Correlation Coefficient
• Prediction
• Outliers
• Section Exercises
Module 13: F-Distribution and One-Way ANOVA
• Introduction to F Distribution and One-Way ANOVA
• One-Way ANOVA
• The F Distribution and the F-Ratio
• Facts about the F Distribution
• Test of Two Variances
• Relationships in an ANOVA Table
• Section Exercises
Module 14: Multiple and Logistic Regression
• Introduction to Multiple and Logistic Regression
• Model Selection
• Checking Model Assumptions Using Graphs
• Introduction to Logistic Regression
• Exercises
Appendices
• Appendix A: Review Exercises (Ch 3-13)
• Appendix A-1: Solutions to Review Exercises (Ch 3-13)
• Appendix B: Practice Tests (1-4) and Final Exams
• Appendix C: Data Sets
• Appendix D: Group and Partner Projects
• Appendix E: Solution Sheets
• Appendix F: Mathematical Phrases, Symbols, and Formulas
• Appendix G: Notes for the TI-83, 83+, 84, 84+ Calculators
• Appendix H: Tables