Download A Primer on Linear Models (Chapman & Hall/CRC Texts in by John F. Monahan PDF

By John F. Monahan

A Primer on Linear Models offers 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 accommodates those suggestions utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern conception helping universal statistical equipment.

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

This e-book allows entire comprehension of the cloth via taking a basic, unifying method of the speculation, basics, and specified result of linear models.

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