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In chapter 5, the author discusses the application of chaos to psychological modeling. The approach of Jennings/Ward is advocated as the appropriate methodology for psychological modeling. A model of moral behavior is given in terms of the logistic map, with the parameter in that map taken to be a measure of personal self-centeredness. This is modified later to include a contribution of a person's family measuring that self-centeredness. The new difference equation models how the person's family measure of self-centeredness affects the rate of change in the person's moral behavior. These models are then solved numerically with the "erratic" behavior of the solution interpreted as moral behavior in highly volatile situations. Unfortunately, the author does not give any empirical justification or attempt at validation for these models. More detailed in-depth research needs to be done when applying dynamical systems to psychological modeling, and such a goal is worthwhile and very important if successful.
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It seems being overburden with details and particulars and lacking unified clear consistent approach. In addition some mistakes are just plain annoying. If one wants to be serious about vibrations - do not sweat over this book. It can be just another somewhat usefull reference book to find some particular solution to for some particular problem.
Instead one can study mechanics with beautifully written classical L.Meirovitch, "Fundamentals of Vibrations" which is much more original, rigorous, clear, usefull and serious book to have.
Emphasis is placed on maximum likelihood, restricted maximum likelihood (REML) and the MINQUE (invention of C. R. Rao) and MIVQUE to estimate variance components under nonnegativity constraints. P.S.R.S Rao has himself contributed significantly to this research and his work and a lot of the early pioneering work on this problem is covered in this short monograph.
The only difficulty with the monograph is its conciseness. This makes it difficult to use as a course text. It covers some interesting examples and provides exercises and examples at the end of the chapters but not enough for a course text. The subject of variance component estimation in survey sampling is not covered. Kirk Wolter's text is still the classic for that and provides the kind of detail needed for an advanced text on the subject.
This monograph is very useful to researchers and practitioners as a reference on variance component estimation and is not too advanced.