Functional PCA and Base-Line Logit Models Articles uri icon

publication date

  • October 2014

start page

  • 296

end page

  • 324

issue

  • 3

volume

  • 31

international standard serial number (ISSN)

  • 0176-4268

electronic international standard serial number (EISSN)

  • 1432-1343

abstract

  • In many statistical applications data are curves measured as functions of a continuous parameter as time. Despite of their functional nature and due to discrete-time observation, these type of data are usually analyzed with multivariate statistical methods that do not take into account the high correlation between observations of a single curve at nearby time points. Functional data analysis methodologies have been developed to solve these type of problems. In order to predict the class membership (multi-category response variable) associated to an observed curve (functional data), a functional generalized logit model is proposed. Base-line category logit formulations will be considered and their estimation based on basis expansions of the sample curves of the functional predictor and parameters. Functional principal component analysis will be used to get an accurate estimation of the functional parameters and to classify sample curves in the categories of the response variable. The good performance of the proposed methodology will be studied by developing an experimental study with simulated and real data.

keywords

  • functional data analysis; nominal logit regression; principal components; logistic-regression; discriminant-analysis; principal components; curves; classification; signals