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. James Seibert has more than 20 years of full-time teaching experience in mathematics and statistics. He taught briefly at Colorado State University and Willamette University, and currently teaches at Regis University in Denver, Colorado, where he has been a professor for the last 21 years. Dr. Seibert was mentored at Regis by Dr. Charles Brase, and remained life-long friends with Dr. and Ms. Brase. Dr. Seibert earned his B.A. in mathematics with minors in physics and philosophy from Linfield College and his M.A. and Ph.D. in mathematics from Colorado State University. Jason Dolor has more than 16 years of teaching experience in mathematics and statistics. He taught briefly at the University of Guam and has been serving as a teacher and researcher at Portland State University and the University of Portland for the last 15 years. Dr. Dolor regularly publishes his work in research journals. He also presents his work in statistical thinking, teacher knowledge, educational technology, curriculum development and assessment at various education conferences. Dr. Dolor earned his B.S. in computer science from the University of Portland, a graduate certificate in applied statistics, an M.S. in mathematics and a Ph.D. in mathematics education from Portland State University. Jason Dolor has more than 16 years of teaching experience in mathematics and statistics. He taught briefly at the University of Guam and has been serving as a teacher and researcher at Portland State University and the University of Portland for the last 15 years. Dr. Dolor regularly publishes his work in research journals. He also presents his work in statistical thinking, teacher knowledge, educational technology, curriculum development and assessment at various education conferences. Dr. Dolor earned his B.S. in computer science from the University of Portland, a graduate certificate in applied statistics, an M.S. in mathematics and a Ph.D. in mathematics education from Portland State University.

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.