Advanced Statistical Methods | |||
ADV STAT MTHDS | |||
CLASS CODE: | MATH 422 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course does not fulfill a General Education requirement. | ||
DESCRIPTION: | Multiple linear regression and certain nonlinear regression models, one factor experiments, factorial experiments (two or more factors), nonparametric methods, statistical quality control, and stochastic processes. | ||
TAUGHT: | Winter | ||
CONTENT AND TOPICS: | Multiple Linear Regression; Estimating the Coefficients; Linear Regression Modeling Using Matrices; Properties of the Least Squares Estimators: Inferences in Multiple Linear Regression; Choice of a Fitted Model Through Hypothesis Testing; Categorical or Indicator Variables; Sequential Methods for Model Selection; Study of Residuals and Violation of Assumptions; Cross Validation and Other Criteria; Special Nonlinear Models for Non-Ideal Conditions; Analysis of Variance Technique; The Strategy of Experimental Design; One-Way Analysis of Variance; Completely Randomized Design; Tests for the Equality of Several Variances; Single-Degree-of-Freedom Comparisons; Multiple Comparisons; Comparing Treatment with a Control; Comparing a Set of Treatments in Blocks; Randomized Complete Block Designs; Graphical Methods and Further Diagnostics; Latin Squares; Random Effects Models; Power of Analysis of Variance Tests; Interaction and the Two-Factor Experiment; Two-Factor Analysis of Variance; Graphical Analysis in the Two-Factor Problem; Three Factor Experiments; Nonparametric Tests; Sign Test; Signed-Rank Test; Rank-Sum Test; Kruskal-Wallis Test; Runs Test; Tolerance Limits; Rank Correlation Coefficient; Nature of the Control Limits; Purposes of the Control Chart; Control Charts for Variables; Control Charts for Attributes; Cusum Control Charts. | ||
GOALS AND OBJECTIVES: | 1. Learn multiple linear regression and some of its applications. 2. Acquire experimental design skills. 3. Understand one factor experiments and how to perform them. 4. Learn factorial experiments (two or more factors) and how to perform them. 5. Gain facility with nonparametric statistical procedures. 6. Utilize the techniques of statistical quality control. 7. Analyze stochastic processes and learn how to solve problems involving them. |
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REQUIREMENTS: | Attendance is required. Students are required to purchase their own calculator and text. Other requirements may include: homework, tests, case studies, group projects, and any other assignments the instructor may assign. | ||
PREREQUISITES: | Math 321 | ||
OTHER: | |||
EFFECTIVE DATE: | August 2003 |