Read e-book online A Primer on Linear Models (Chapman & Hall/CRC Texts in PDF

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 in the back of the statistical method of regression and research of variance (ANOVA). It seamlessly contains those techniques utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern conception helping universal statistical tools.

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

This ebook allows whole comprehension of the cloth by means of taking a common, unifying method of the idea, basics, and designated 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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