Adaptation of the Vogt-Mizaikoff F-test to determine the number of principal factors responsible for a data matrix and comparison with other popular methods

被引：13

作者：

Malinowski, ER ^{[1
]}

机构：

[1] Stevens Inst Technol, Dept Chem & Chem Biol, Hoboken, NJ 07030 USA

来源：

JOURNAL OF CHEMOMETRICS | 2004年 / 18卷 / 09期

关键词：

factor analysis; principal component analysis; multivariate analysis; rank analysis;

D O I：

10.1002/cem.882

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The statistical method developed by Vogt and Mizaikoff for the purpose of determining the number of principal factors responsible for a given test vector is adapted to determine the rank of the data matrix, i.e. the number of principal factors responsible for the entire data matrix. The adapted method is compared with other well-established methods, namely the IND function, the Malinowski F-test and the Faber-Kowalski F-test, using real chemical data as well as modeled data. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：387 / 392

页数：6

共 14 条

[1] Complexation between copper(II) and glycine in aqueous acid solutions by window factor analysis of visible spectra [J].

Darj, MM ;

Malinowski, ER .

ANALYTICAL CHEMISTRY, 1996, 68 (09) :1593-1598

[2]

Faber K, 1997, J CHEMOMETR, V11, P53, DOI 10.1002/(SICI)1099-128X(199701)11:1<53::AID-CEM434>3.0.CO

[3]

2-4

[4]

GEMPERLINE PJ, 1989, J CHEMOMETR, V3, P455

[5]

Malinowski E.R., 2002, Factor Analysis in Chemistry

[6] WINDOW FACTOR-ANALYSIS - THEORETICAL DERIVATION AND APPLICATION TO FLOW-INJECTION ANALYSIS DATA [J].

MALINOWSKI, ER .

JOURNAL OF CHEMOMETRICS, 1992, 6 (01) :29-40

[7]

Malinowski ER, 1999, J CHEMOMETR, V13, P69, DOI 10.1002/(SICI)1099-128X(199903/04)13:2<69::AID-CEM526>3.3.CO

[8]

2-N

[9] DETERMINATION OF NUMBER OF FACTORS AND EXPERIMENTAL ERROR IN A DATA MATRIX [J].

MALINOWSKI, ER .

ANALYTICAL CHEMISTRY, 1977, 49 (04) :612-617

[10]

Malinowski ER., 1987, J Chemom, V1, P33, DOI [10.1002/cem.1180010106, DOI 10.1002/CEM.1180010106]

← 1 2 →