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Discriminant Analysis And Applications


Discriminant Analysis And Applications
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Discriminant Analysis And Applications


Discriminant Analysis And Applications
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Author : Theophilos Cacoullos
language : en
Publisher:
Release Date : 1973

Discriminant Analysis And Applications written by Theophilos Cacoullos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Discriminant analysis categories.




Contributions To Linear Discriminant Analysis With Applications To Growth Curves


Contributions To Linear Discriminant Analysis With Applications To Growth Curves
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Author : Edward Kanuti Ngailo
language : en
Publisher: Linköping University Electronic Press
Release Date : 2020-05-06

Contributions To Linear Discriminant Analysis With Applications To Growth Curves written by Edward Kanuti Ngailo and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with Electronic books categories.


This thesis concerns contributions to linear discriminant analysis with applications to growth curves. Firstly, we present the linear discriminant function coefficients in a stochastic representation using random variables from the standard univariate distributions. We apply the characterized distribution in the classification function to approximate the classification error rate. The results are then extended to large dimension asymptotics under assumption that the dimension p of the parameter space increases together with the sample size n to infinity such that the ratio converges to a positive constant c (0, 1). Secondly, the thesis treats repeated measures data which correspond to multiple measurements that are taken on the same subject at different time points. We develop a linear classification function to classify an individual into one out of two populations on the basis of the repeated measures data that when the means follow a growth curve structure. The growth curve structure we first consider assumes that all treatments (groups) follows the same growth profile. However, this is not necessarily true in general and the problem is extended to linear classification where the means follow an extended growth curve structure, i.e., the treatments under the experimental design follow different growth profiles. At last, a function of the inverse Wishart matrix and a normal distribution finds its application in portfolio theory where the vector of optimal portfolio weights is proportional to the product of the inverse sample covariance matrix and a sample mean vector. Analytical expressions for higher order moments and non-central moments of the portfolio weights are derived when the returns are assumed to be independently multivariate normally distributed. Moreover, the expressions for the mean, variance, skewness and kurtosis of specific estimated weights are obtained. The results are complemented using a Monte Carlo simulation study, where data from the multivariate normal and t-distributions are discussed. Den här avhandlingen studerar diskriminantanalys, klassificering av tillväxtkurvor och portföljteori. Diskriminantanalys och klassificering är flerdimensionella tekniker som används för att separera olika mängder av objekt och för att tilldela nya objekt till redan definierade grupper (så kallade klasser). En klassisk metod är att använda Fishers linjära diskriminantfunktion och när alla parametrar är kända så kan man enkelt beräkna sannolikheterna för felklassificering. Tyvärr är så sällan fallet, utan parametrarna måste skattas från data, och då blir Fishers linjära diskriminantfunktion en funktion av en Wishartmatris och multivariat normalfördelade vektorer. I den här avhandlingen studerar vi hur man kan approximativt beräkna sannolikheten för felklassificering under antagande att dimensionen på parameterrummet ökar tillsammans med antalet observationer genom att använda en särskild stokastisk representation av diskriminantfunktionen. Upprepade mätningar över tiden på samma individ eller objekt går att modellera med så kallade tillväxtkurvor. Vid klassificering av tillväxtkurvor, eller rättare sagt av upprepade mätningar för en ny individ, bör man ta tillvara på både den spatiala- och temporala informationen som finns hos dessa observationer. Vi vidareutvecklar Fishers linjära diskriminantfunktion att passa för upprepade mätningar och beräknar asymptotiska sannolikheter för felklassificering. Till sist kan man notera att snarlika funktioner av Wishartmatriser och multivariat normalfördelade vektorer dyker upp när man vill beräkna de optimala vikterna i portföljteori. Genom en stokastisk representation studerar vi egenskaperna hos portföljvikterna och gör dessutom en simuleringsstudie för att förstå vad som händer när antagandet om normalfördelning inte är uppfyllt.



Discriminant Analysis And Applications Edited By T Cacoullos


Discriminant Analysis And Applications Edited By T Cacoullos
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Author : NATO Advanced Study Institute on Discriminant Analysis and Applications, Athens, 1972
language : en
Publisher:
Release Date :

Discriminant Analysis And Applications Edited By T Cacoullos written by NATO Advanced Study Institute on Discriminant Analysis and Applications, Athens, 1972 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Discriminant analysis categories.




Discriminant Analysis And Applications


Discriminant Analysis And Applications
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Author : Theophilos Cacoullos
language : en
Publisher:
Release Date : 1973

Discriminant Analysis And Applications written by Theophilos Cacoullos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Discriminant analysis categories.




Applied Discriminant Analysis


Applied Discriminant Analysis
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Author : Carl J. Huberty
language : en
Publisher: Wiley-Interscience
Release Date : 1994-08-11

Applied Discriminant Analysis written by Carl J. Huberty and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-11 with Mathematics categories.


Most books on discriminant analysis focus on statistical theory. But properly applied, discriminant analysis methods can be enormously useful in the interpretation of data. This book is the first ever to offer a complete introduction to discriminant analysis that focuses on applications. It provides numerous examples, explained in great detail, using current statistical discriminant analysis algorithms. It also develops several themes that will be useful to researchers and students regardless of the analytical methods they employ. They are the careful examination of data prior to final analysis; the application of critical judgment and common sense to all analyses and interpretations; and conducting multiple analyses as a matter of routine. To encourage and enable readers to conduct multiple analyses of their data, the accompanying diskette contains the four complete data sets and five special computer programs that are referred to repeatedly in the text and are the subjects of numerous exercise problems. This enables the reader to carry out package analyses on the data sets using a variety of procedural options both within and across computer packages. The term "discriminant analysis" means different things to different people. For statisticians and researchers in the physical sciences, it usually denotes the process through which group membership is predicted on the basis of multiple predictor variables. Behavioral scientists, on the other hand, often use discriminant analysis to describe group differences across multiple response variables. Though closely related, predictive discriminant analysis (PDA) and descriptive discriminant analysis (DDA) are used for different purposes and should be approached in different ways. To accentuate these differences and distinguish clearly between the two, Applied Discriminant Analysis presents these topics separately. For graduate students, this book will expand your background in multivariate data analysis methods and facilitate both the reading and the conducting of applied empirical research. It will also be of great use to experienced researchers who wish to enhance or update their quantitative background, and to methodologists who want to learn more about the details of applied discriminant data analysis, and some still unresolved problems, as well.



Multiple Discriminant Analysis Marketing Research Applications


Multiple Discriminant Analysis Marketing Research Applications
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Author : Richard Johnson
language : en
Publisher: Marketing Classics Press
Release Date : 2011-06-30

Multiple Discriminant Analysis Marketing Research Applications written by Richard Johnson and has been published by Marketing Classics Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Business & Economics categories.




Statistical Methods Of Discrimination And Classification


Statistical Methods Of Discrimination And Classification
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Author : Sung C. Choi
language : en
Publisher: Elsevier
Release Date : 2014-05-17

Statistical Methods Of Discrimination And Classification written by Sung C. Choi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-17 with Mathematics categories.


Statistical Methods of Discrimination and Classification: Advances in Theory and Applications is a collection of papers that tackles the multivariate problems of discriminating and classifying subjects into exclusive population. The book presents 13 papers that cover that advancement in the statistical procedure of discriminating and classifying. The studies in the text primarily focus on various methods of discriminating and classifying variables, such as multiple discriminant analysis in the presence of mixed continuous and categorical data; choice of the smoothing parameter and efficiency of k-nearest neighbor classification; and assessing the performance of an allocation rule. The book will be of great use to researchers and practitioners of wide array of scientific disciplines, including engineering, psychology, biology, and physics.



Discriminant Analysis And Applications


Discriminant Analysis And Applications
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Author : T. Cacoullos
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Discriminant Analysis And Applications written by T. Cacoullos and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Discriminant Analysis and Applications comprises the proceedings of the NATO Advanced Study Institute on Discriminant Analysis and Applications held in Kifissia, Athens, Greece in June 1972. The book presents the theory and applications of Discriminant analysis, one of the most important areas of multivariate statistical analysis. This volume contains chapters that cover the historical development of discriminant analysis methods; logistic and quasi-linear discrimination; and distance functions. Medical and biological applications, and computer graphical analysis and graphical techniques for multidimensional data are likewise discussed. Statisticians, mathematicians, and biomathematicians will find the book very interesting.



Discriminant Analysis


Discriminant Analysis
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Author : William R. Klecka
language : en
Publisher: SAGE Publications, Incorporated
Release Date : 1980-08

Discriminant Analysis written by William R. Klecka and has been published by SAGE Publications, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-08 with Reference categories.


Background. Deriving the canonical discriminant functions. Interpreting the canonical discriminant functions. Classification procedures. Stepwise inclusion of variables. Concluding remarks.



Network Based Discriminant Analysis With Applications To Fmri


Network Based Discriminant Analysis With Applications To Fmri
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Author : Xiaoxing Cheng
language : en
Publisher:
Release Date : 2014

Network Based Discriminant Analysis With Applications To Fmri written by Xiaoxing Cheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Brain categories.