Understandable Statistics

Charles Brase has more than 30 years of full-time teaching experience in mathematics and statistics. He taught at the University of Hawaii, Manoa Campus, for several years and at Regis University in Denver, Colorado, for more than 28 years. Dr. Brase received the Excellence in Teaching award from the University of Hawaii and the Faculty Member of the Year award from Regis University on two occasions. He earned degrees from the University of Colorado, Boulder, and he holds a Ph.D. and an M.A. in mathematics and a B.A. in physics. Corrinne Pellillo Brase has taught at Hawaii Pacific College; Honolulu Community College; and Arapahoe Community College in Littleton, Colorado. She was also involved in the mathematics component of an equal opportunity program at the University of Colorado. Professor Brase received the Faculty of the Year award from Arapahoe Community College. She earned her degrees from the University of Colorado, Boulder, and she holds an M.A. and a B.A. in mathematics.

1. Getting Started.
Introduces the subject, presents random samples and an introduction to experimental design.
2. Organizing Data.
Histograms, graphs, stem-and l-leaf displays.
3. Averages and Variation.
4. Elementary Probability Theory.
5. The Binomial Probability Distribution and Related Topics.
6. Normal Curves and Sampling Distributions.
Part I: Normal Distributions.
Part II: Sampling Distributions and the Normal Approximation to Binomial Distribution.
7. Estimation.
Part I: Estimating a Single Mean or Single Proportion.
Part II: Estimating the Difference Between Two Means or Two Proportions.
8. Hypothesis Testing.
Part I: Testing a Single Mean or Single Proportion.
Part II: Testing a Difference Between Two Means or Two Proportions.
9. Correlation and Regression.
Part I: Simple Linear Regression.
Part II: Multiple Regression.
10. Chi-Square and F Distributions.
Part I: Inferences Using the Chi-Square Distribution.
Part II: Inferences Using the F Distribution.
11. Nonparametric Statistics.
Appendix includes brief discussion of Bayes' Theorem and Hypergeometric Distribution.