STAT-332 (354-332) Probability & Mathematical Statistics II. CREDIT: 3 ... (Prior
to Fall 01: Probability & Statistical Inference, 5 th. Ed., by Hogg & Tanis). (Prior to
...
Mathematics, Statistics & Computer Science
University of Wisconsin-Stout Jarvis Hall Science Wing 231 Menomonie, WI 54751-0790
COURSE NUMBER/TITLE: STAT-332 [354-332] Probability & Mathematical Statistics II CREDITS:
3
COURSE DESCRIPTION:
Point estimation. Properties of point estimators: unbiasedness, efficiency, consistency, sufficiency. The method of maximum likelihood. Basic concepts of interval estimation and hypothesis testing. Inference in onesample and two-sample problems. Simple linear regression analysis; the method of least squares. Goodness-of-fit tests. Analysis of categorical data. Prerequisite: STAT-331 Probability & Mathematical Statistics I.
TEXTBOOK:
Introduction to Mathematical Statistics & Its Applications, 5th Ed. by Marx (adopted Fall 2011) Previous: Introduction to Mathematical Statistics & Its Applications, 4th Ed., by Marx (adopted F07; 3rd Ed. adopted F01) Probability & Statistical Inference, 5th Ed., by Hogg & Tanis (adopted F01) Mathematical Statistics & Data Analysis, 2nd Ed., by Rice (adopted F97) Introduction to Mathematic Statistics, 2nd Ed., by Larsen (adopted F95)
COURSE OBJECTIVES: The course will enable students to: 1. Appreciate the importance of statistical inference in science and technology. 2. Apply the methods of statistical inference: estimation and hypothesis testing. 3. Demonstrate skills by problem solving and the writing of clear, complete, logically correct solutions. 4. Use a statistical computing package such as SPSS or STATGRAPHICS. COURSE OUTLINE: 1. Estimation A. Concepts of Point Estimation B. Properties of Estimators C. Minimum Variance Estimators D. The Method of Maximum Likelihood & The Method of Moments E. Interval Estimation 2. Hypothesis Testing A. Concepts of Hypothesis Testing B. Optimal Tests 3. One-Sample Problems A. Inference About the Mean & Variance in a Normal Distribution B. The Central Limit Theorem C. Inference About a Proportion 4. Two-Sample Problems A. The Two-Sample t-test for Equality of Means B. The F-test for Equality of Variance
5.
6.
C. The Two-Sample Test for Equality of Proportions D. Confidence Intervals for the Two-Sample Problem Simple Linear Regression Analysis A. The Method of Least Squares B. Inferences for the Regression Parameters Introduction to some or all of the following topics (as time permits): A. Goodness-of-Fit Tests B. Analysis of Categorical Data C. Analysis of Variance D. Nonparametric Inference E. Bayesian Inference