Abstract
IML automates intensive matrix algebraic statements. Problems that could take hours to solve on paper can take seconds to solve using IML. Conventional mathematical notation is used as much as possible for simplicity, so the way a problem would be written down on a piece of paper is similar to how it would be written in IML code. The following examples incorporate many of the mathematical operators and functions that IML provides.
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*Note: Entering the equation for a variance directly is intended for academic purposes (i.e.- seeing how the theoretical equation works in practice). In rare data situations, Alternative algorithms are more numerically accurate. For example, the variance formula used to compute MAT_VAR on page 99 is preferred over the variance formula used to compute SM_VAR on that same page (See Thisted 1988).
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© 2010 Springer Science+Business Media, LLC
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Perrett, J.J. (2010). Linear Algebra. In: A SAS/IML Companion for Linear Models. Statistics and Computing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5557-9_6
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DOI: https://doi.org/10.1007/978-1-4419-5557-9_6
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-5556-2
Online ISBN: 978-1-4419-5557-9
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