Current Sections
Recent Instructors
Wang, J
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ST 372 |
Introduction to Statistical Inference and Regression |
Course Description
Statistical inference and regression analysis including theory and applications. Point and interval estimation of population parameters. Hypothesis testing including use of t, chi-square and F. Simple linear regression and correlation. Introduction to multiple regression and one-way analysis of variance.
Course Syllabus
- Random samples
- Linear combinations of independent random variables
- Sample mean
- Review of normal distribution, Central Limit Theorem
- Continuity correction
- Point estimation
- Statistic and parameter
- Sample variance
- Method of moments
- Maximum likelihood estimators
- Principle of invariance
- Data analysis
- Hypothesis testing
- Confidence intervals
- Single populations
- Tests on means: Normal distribution and t distribution
- Tests on variance: Chi-squared distribution
- Comparison of populations
- Tests on means: Smith-Satterwaite
- Pooled sample variance
- Test on variance: F-distribution
- Large sample approximations
- Chi-squared tests
- Goodness of fit tests
- Contingency tests
- Analysis of variance
- Linear regression
- Standard linear model
- Least squares model
- Least squares criterion
- Estimation of intercept and slope
Course Prerequisites
Course Corequisites
Recent Textbooks
- Probability and Statistics for Engineering and the Sciences, 6 ed. Devore (2003)
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