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Factor indeterminacy: The saga continues
Author(s) -
Rozeboom William W.
Publication year - 1988
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1988.tb00897.x
Subject(s) - indeterminacy (philosophy) , remainder , factor (programming language) , mathematics , decomposition , moment (physics) , tuple , mathematical economics , econometrics , statistics , arithmetic , computer science , discrete mathematics , physics , philosophy , epistemology , classical mechanics , programming language , ecology , biology
The much‐discussed prevailing failure of a moment decomposition M zz = AM 0 A to identify just one factor tuple F such that Z = AF and M FF = M 0 is only one of many ways in which a selected fragment of a complete factor solution generally specifies the solution's remainder only imperfectly. Precise ranges are worked out here for the main varieties of such indeterminacies, together with the special conditions, if any, under which they shrink to unique determinations.