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Statistical F ‐tests for abstract factor analysis and target testing
Author(s) -
Malinowski Edmund R.
Publication year - 1989
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.1180030107
Subject(s) - statistics , mathematics , statistical hypothesis testing , factor (programming language) , statistical analysis , variance (accounting) , analysis of variance , matrix (chemical analysis) , covariance matrix , computer science , chromatography , chemistry , accounting , business , programming language
Fisher variance ratio tests are developed for determining (1) the number of statistically significant abstract factors responsible for a data matrix and (2) the significance of target vectors projected into the abstract factor space. F ‐tests, developed from the viewpoint of vector distributions, are applied to various data sets taken from the chemical literature.