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 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 comprises those techniques utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern conception assisting universal statistical tools.

With insurance gradually progressing in complexity, the textual content first offers examples of the overall linear version, together with a number of regression types, one-way ANOVA, mixed-effects types, and time sequence types. It then introduces the elemental algebra and geometry of the linear least squares challenge, prior to delving into estimability and the Gauss–Markov version. After providing the statistical instruments of speculation checks and self belief periods, the writer analyzes combined versions, reminiscent of 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 permits whole comprehension of the fabric via taking a normal, unifying method of the idea, basics, and unique result of linear models.

Show description

By John F. Monahan

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 comprises those techniques utilizing non-full-rank layout matrices and emphasizes the precise, finite pattern conception assisting universal statistical tools.

With insurance gradually progressing in complexity, the textual content first offers examples of the overall linear version, together with a number of regression types, one-way ANOVA, mixed-effects types, and time sequence types. It then introduces the elemental algebra and geometry of the linear least squares challenge, prior to delving into estimability and the Gauss–Markov version. After providing the statistical instruments of speculation checks and self belief periods, the writer analyzes combined versions, reminiscent of 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 permits whole comprehension of the fabric via taking a normal, unifying method of the idea, basics, and unique result of linear models.

Show description

Read or Download A Primer on Linear Models (Chapman & Hall/CRC Texts in Statistical Science) PDF

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