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A SAS/IML Companion for Linear Models (Paperback, 2010 ed.)
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A SAS/IML Companion for Linear Models (Paperback, 2010 ed.)
Series: Statistics and Computing
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Linear models courses are often presented as either theoretical or
applied. Consequently, students may find themselves either proving
theorems or using high-level procedures like PROC GLM to analyze
data. There exists a gap between the derivation of formulas and
analyses that hide these formulas behind attractive user
interfaces. This book bridges that gap, demonstrating theory put
into practice. Concepts presented in a theoretical linear models
course are often trivialized in applied linear models courses by
the facility of high-level SAS procedures like PROC MIXED and PROC
REG that require the user to provide a few options and statements
and in return produce vast amounts of output. This book uses PROC
IML to show how analytic linear models formulas can be typed
directly into PROC IML, as they were presented in the linear models
course, and solved using data. This helps students see the link
between theory and application. This also assists researchers in
developing new methodologies in the area of linear models. The book
contains complete examples of SAS code for many of the computations
relevant to a linear models course. However, the SAS code in these
examples automates the analytic formulas. The code for high-level
procedures like PROC MIXED is also included for side-by-side
comparison. The book computes basic descriptive statistics, matrix
algebra, matrix decomposition, likelihood maximization, non-linear
optimization, etc. in a format conducive to a linear models or a
special topics course. Also included in the book is an example of a
basic analysis of a linear mixed model using restricted maximum
likelihood estimation (REML). The example demonstrates tests for
fixed effects, estimates of linear functions, and contrasts. The
example starts by showing the steps for analyzing the data using
PROC IML and then provides the analysis using PROC MIXED. This
allows students to follow the process that lead to the output.
General
Imprint: |
Springer-Verlag New York
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Country of origin: |
United States |
Series: |
Statistics and Computing |
Release date: |
December 2009 |
First published: |
2010 |
Authors: |
Jamis J. Perrett
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Dimensions: |
235 x 155 x 13mm (L x W x T) |
Format: |
Paperback
|
Pages: |
228 |
Edition: |
2010 ed. |
ISBN-13: |
978-1-4419-5556-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
1-4419-5556-9 |
Barcode: |
9781441955562 |
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