BTRY 4030

Linear Models with Matrices

Course Description

Course information provided by the 2025-2026 Catalog.

The focus of this course is the theory and application of the general linear model expressed in its matrix form. Topics will include: least squares estimation, multiple linear regression, coding for categorical predictors, residual diagnostics, anova decomposition, polynomial regression, model selection techniques, random effects and mixed models, maximum likelihood estimation and distributional theory assuming normal errors. Homework assignments will involve computation using the R statistical package.

Prerequisites REF-FA25/Corequisites REF-FA25 STSCI 2150 or STSCI 2200/BTRY 3010, BTRY 3080, MATH 1920, MATH 2210 or their equivalents, STSCI 3200/BTRY 3020 or BTRY 6020. Corequisites: None.

Distribution Requirements (DLS-AG, OPHLS-AG), (SDS-AS), (STA-IL)

Last 4 terms offered (None)

Outcomes REF-FA25

• Students will be able to discuss the mathematical foundations of linear statistical models using matrix algebra.
• Students will be able to use diagnostic measures to assess the validity of a given statistical model.
• Students will be able to analyze data involving both fixed and random factors.

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