By John F. Monahan

ISBN-10: 113846953X

ISBN-13: 9781138469532

ISBN-10: 1420062018

ISBN-13: 9781420062014

A Primer on Linear Models provides a unified, thorough, and rigorous improvement of the speculation at the back of the statistical method of regression and research of variance (ANOVA). It seamlessly contains those recommendations utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern conception aiding universal statistical tools.

With insurance gradually progressing in complexity, the textual content first offers examples of the final linear version, together with a number of regression versions, one-way ANOVA, mixed-effects versions, and time sequence types. It then introduces the fundamental algebra and geometry of the linear least squares challenge, earlier than delving into estimability and the Gauss–Markov version. After offering the statistical instruments of speculation checks and self belief periods, the writer analyzes combined versions, comparable to two-way combined ANOVA, and the multivariate linear version. The appendices overview linear algebra basics and effects in addition to Lagrange multipliers.

This ebook allows entire comprehension of the cloth via taking a normal, unifying method of the speculation, basics, and specific result of linear models.

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A Primer on Linear Models (Chapman & Hall/CRC Texts in Statistical Science) by John F. Monahan

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