Advanced Linear Modeling

Now in its third edition, this companion volume to Ronald Christensen's PlaneAnswers to Complex Questions uses three fundamental concepts from standard linear model theory-best linear prediction, projections, and Mahalanobis distance- to extendstandard linear modeling into the realms of Statistical Learning and Dependent Data. This new edition features a wealth of new and revised content. In StatisticalLearning it delves into nonparametric regression, penalized estimation (regularization),reproducing kernel Hilbert spaces, the kernel trick, and support vector machines. For Dependent Data it uses linear model theory to examine general linear models,linear mixed models, time series, spatial data, (generalized) multivariate linearmodels, discrimination, and dimension reduction. While numerous references toPlane Answers are made throughout the volume, Advanced Linear Modeling can be usedon its own given a solid background in linear models. Accompanying R code for theanalyses is available online.