(517) 355-9678

Fax: 517-432-1405

Mailing Address: Department of Statistics and Probability

Michigan State University

East Lansing, MI 48824

Graduate Director

B.A. (Mathematics and Education) Eastern Michigan University (1952)

M.S. (Mathematical Statistics) Purdue University (1954)

PhD (Mathematical Statistics) Purdue University (1957)

John Wiley & Sons, 1995, 450 pages

(From the Back of the Book) "Linear Statistical Models" emphasizes the geometry of vector spaces because of the intuitive insights this approach brings to an understanding of the theory. While the focus is on theory, examples of applications, using the SAS and S-Plus packages, are included. Prerequisites are familiarity with linear algebra, and probability at the postcalculus level.

Major topics covered include:

Methods of study of random vectors, incuding the multivariate normal, chi-square, t and F distributions, central and noncentral.

The linear model and the basic theory of regression analysis and the analysis of variance

Multiple regression methods, including transformations, analysis of residuals, and asymptotic theory for regression analysis. Separate sections are devoted to robust methods and to the bootstrap.

Simultaneous confidence intervals: Bonferroni, Scheffe, Tukey, and Bechhofer.

Analysis of variance, with two- and three-way analysis of variance.

Random component models, nested designs, and balanced incomplete block designs.

Analysis of frequency data through log-linear models, with emphasis on the vector space viewpoint. This chapter alone is sufficient for a course on the analysis of frequency data.

An errata list may be obtained by writing, calling or E-Mailing the author.

"Linear Statistical Models"

STT 841

Statistics 231, Spring Semester

"Statistics for Scientists"

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**Quotes of the year:**

**"Whom are you?" he asked, for he had been to night school. George Ade**

**"All Models are wrong but some are useful." G. E. P. Box****"Education is the ability to listen to almost anything without losing your temper or your self-confidence. " Robert Frost****"Things could be worse. Suppose your errors were counted and published every day, like those of a baseball player. " Anonymous**