A Shorthand for Algebra

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Course Summary and Objectives

This course will introduce vector and matrix algebra notation and applications that are useful in Master's level courses in Biostatistics and Statistics. The course will emphasis application of vectors and matrices to represent typical problems in expressing linear models, and elementary properties of the vectors. Select topics will be discussed that make use of special matrix algebra operators to represent more complicated statistical models. This course aims to:

• enable the student to write and interpret statistics used in regression and ANOVA models using matrix algebra notation
• enable the student to interpret vectors geometrically, to construct projections of vectors, and to understand degrees of freedom
• understand and use vectors and matrices to simplify terms in ANOVA tables and calculation of expected mean squares
• use vectors and matrices to represent mixed models
• understand how to differentiate vectors and matrices and work with patterned matrics

Upon completion of this course, the student will be able to use vectors and matrices in biostatistical applications.

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