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Field name	Details
Dewey Class	519.2
Title	Reduced Rank Regression ([EBook] :) : With Applications to Quantitative Structure-Activity Relationships / / by Heinz Schmidli.
Author	Schmidli, Heinz
Other name(s)	SpringerLink (Online service)
Publication	Heidelberg : : Physica-Verlag HD, , 1995.
Physical Details	X, 179 p. : online resource.
Series	Contributions to Statistics 1431-1968
ISBN	9783642500152
Summary Note	Reduced rank regression is widely used in statistics to model multivariate data. In this monograph, theoretical and data analytical approaches are developed for the application of reduced rank regression in multivariate prediction problems. For the first time, both classical and Bayesian inference is discussed, using recently proposed procedures such as the ECM-algorithm and the Gibbs sampler. All methods are motivated and illustrated by examples taken from the area of quantitative structure-activity relationships (QSAR).:
Contents note	1. Quantitative Structure Activity Relationships (QSAR) -- 1.1. Introduction -- 1.2. Modification of Substances -- 1.3. Physico—Chemical Descriptors -- 1.4. Biological Descriptors -- 1.5. Prediction Model -- 1.6. The Development of an Insecticide: an Example -- 2. Linear Multivariate Prediction -- 2.1. Introduction -- 2.2. Multivariate Prediction -- 2.3. Prediction Criteria -- 2.4. Exploratory Graphical Methods -- 2.5. Method and Variable Selection -- 2.6. Assessment of the Goodness of Prediction of the Selected Model -- 3. Heuristic Multivariate Prediction Methods -- 3.1. Introduction -- 3.2. Principal Component Regression -- 3.3. Partial Least Squares -- 3.4. Dimension Selection -- 3.5. Example -- 4. Classical Analysis of Reduced Rank Regression -- 4.1. Introduction -- 4.2. QSAR: Biological Responses -- 4.3. Reduced Rank Regression Models -- 4.4. Extensions of the Standard Reduced Rank Regression Model -- 4.5. Prediction Criteria for the Rank Selection of Reduced Rank Regression Models -- 4.6. Variable Selection for Reduced Rank Regression Models -- 5. Bayesian Analysis of Reduced Rank Regression -- 5.1. Introduction -- 5.2. The Reduced Rank Regression Model -- 5.3. Markov Chain Monte Carlo Methods -- 5.4. Example -- 6. Case Studies -- 6.1. ®Voltaren: An Anti-Inflammatory Drug -- 6.2. Development of a Herbicide -- 7. Discussion -- A.1 Introduction -- A.2 Multivariate Regression MR -- A.3 Principal Component Analysis PCA -- A.4 Partial Least Squares PLS -- A.5 Canonical Correlation Analysis CCA -- A.6 Reduced Rank Regression with Diagonal Error Covariance Matrix RRR -- A.7 Redundancy Analysis RDA -- A.8 Software -- A.9 Matrix Algebra Definitions -- A.10 Multivariate Distributions -- References -- Main Notations and Abbreviations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-50015-2
Links to Related Works	Subject References: Chemistry, Physical and theoretical . Chemometrics . Economic theory . Economic Theory/Quantitative Economics/Mathematical Methods . Math. Applications in Chemistry . Mathematics . Probabilities . Probability theory and stochastic processes . Statistics . Statistics for Business/Economics/Mathematical Finance/Insurance . Theoretical and Computational Chemistry . Authors: Schmidli, Heinz . Corporate Authors: SpringerLink (Online service) . Series: Contributions to Statistics . Classification: 519.2 .

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Reduced Rank Regression: With Applications to Quantitative Structure-Activity Relationships /

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