A Primer on Linear Models (Chapman & Hall/CRC Texts in - download pdf or read online

By John F. Monahan

ISBN-10: 113846953X

ISBN-13: 9781138469532

ISBN-10: 1420062018

ISBN-13: 9781420062014

A Primer on Linear Models offers 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 comprises those strategies utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern concept assisting universal statistical equipment.

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

This booklet permits whole comprehension of the cloth by way of taking a normal, unifying method of the speculation, basics, and precise 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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