NDLI: Isotone additive latent variable models

Content Provider	Springer Nature Link
Author	Sardy, Sylvain Victoria Feser, Maria Pia
Copyright Year	2011
Abstract	For manifest variables with additive noise and for a given number of latent variables with an assumed distribution, we propose to nonparametrically estimate the association between latent and manifest variables. Our estimation is a two step procedure: first it employs standard factor analysis to estimate the latent variables as theoretical quantiles of the assumed distribution; second, it employs the additive models’ backfitting procedure to estimate the monotone nonlinear associations between latent and manifest variables. The estimated fit may suggest a different latent distribution or point to nonlinear associations. We show on simulated data how, based on mean squared errors, the nonparametric estimation improves on factor analysis. We then employ the new estimator on real data to illustrate its use for exploratory data analysis.
Starting Page	647
Ending Page	659
Page Count	13
File Format	PDF
ISSN	09603174
Journal	Statistics and Computing
Volume Number	22
Issue Number	2
e-ISSN	15731375
Language	English
Publisher	Springer US
Publisher Date	2011-06-29
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Factor analysis Principal component analysis Nonparametric regression Bartlett’s factor scores Dimension reduction Artificial Intelligence (incl. Robotics) Numeric Computing Statistics and Computing/Statistics Programs Mathematics Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics Statistics, Probability and Uncertainty

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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