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4 total messages Started by Steve Sullivan Fri, 02 Oct 1992 23:53
Principle Components Analysis
#626
Author: Steve Sullivan
Date: Fri, 02 Oct 1992 23:53
12 lines
634 bytes
I'm interested in learning about principle components
analysis, but none of the profs I've talked to have
any references.

Can anyone recommend some good introductory books or
articles?

Many thanks in advance -

Steve Sullivan
sullivan@csn.org
Re: Principle Components Analysis
#634
Author: olevin
Date: Sat, 03 Oct 1992 15:54
37 lines
1613 bytes
In article <BvIqDK.9EK@csn.org> sullivan@teal.csn.org (Steve Sullivan) writes:
>
>I'm interested in learning about principle components
>analysis, but none of the profs I've talked to have
>any references.
>
>Can anyone recommend some good introductory books or
>articles?
>
>Many thanks in advance -
>
>Steve Sullivan
>sullivan@csn.org

Cattell, r.b. (965) Factor analysis. An introduction to
Essentials. I: the purpose and underlying models. Biometrics 21,
pp. 190-210
II: the role of factor analysis in research, Biometrics, 21,
pp405-435.

Childs d 1970, The essentials of factor analysis. London, Holt,
Rinehart, and Wisnton.

Cooley W.W> and Lohnes (1971) Multivariate data analysis, NY
J-Wiley.

Davis, J./c. 1973) Statistics and data analyiss i geology,
Academic press

Fruchter b. (1954) /Introduction to factor analysis D. van
Nostrand Co.

Seyhan E. 1985 Introduction to multivariate statistical analysis
Free university, Institute of Earth sciences Netherlands


Oscar
Re: Principle Components Analysis
#633
Author: Richard E. Myers
Date: Sun, 04 Oct 1992 06:22
47 lines
2419 bytes
> Steve Sullivan <sullivan@csn.org> writes:
> I'm interested in learning about principle components
> analysis, but none of the profs I've talked to have
> any references.
> 
> Can anyone recommend some good introductory books or
> articles?

I've become interested in using PCA to analyze a sequence of high
dimensional vectors (speech frames).  My SYSTAT manual and a look on
mlvl turned up the following references:


5. MCDONALD RP.
     COMMON PRINCIPAL COMPONENTS AND RELATED MULTIVARIATE METHODS - FLURY,B.
     Pub type:  Book Review.
     JOURNAL OF CLASSIFICATION, 1990, V7 N2:310-312.

6. Flury, Bernhard, 1951-
     Common principal components and related multivariate models / Bernhard
   Flury.  New York : Wiley, c1988.
     Series title:  Wiley series in probability and mathematical statistics.

8. Jackson, J. Edward.
     A user's guide to principal components / J. Edward Jackson.  New York :
   Wiley, c1991.
     Series title:  Wiley series in probability and mathematical statistics.
   Applied probability and statistics.

2. Harman, Harry Horace, 1913-1976.
     Modern factor analysis.  [Chicago] University of Chicago Press [1960].

1. Mulaik, Stanley A., 1935-
     The foundations of factor analysis [by] Stanley A. Mulaik.  New York,
   McGraw-Hill [1971, c1972].
     Series title:  McGraw-Hill series in psychology.

1. Gnanadesikan, Ram, 1932-
     Methods for statistical data analysis of multivariate observations / R.
   Gnanadesikan.  New York : Wiley, c1977.
     Series title:  Wiley series in probability and mathematical statistics.
     Series title:  A Wiley publication in applied statistics.

40. Mardia, K. V.
      Multivariate analysis / K. V. Mardia, J. T. Kent, J. M. Bibby.  London ;
    New York : Academic Press, 1979.
      Series title:  Probability and mathematical statistics.
Principal Component Analysis (was: Principle Components Analysis)
#649
Author: J A Stephen Viggiano
Date: Tue, 06 Oct 1992 14:21
27 lines
1792 bytes
In article <BvIqDK.9EK@csn.org> sullivan@teal.csn.org (Steve Sullivan) writes:

>I'm interested in learning about principle components
>analysis, but none of the profs I've talked to have
>any references.

I don't think you'll find anything on "principle components analysis," but
there should be a lot on "principal component analysis." Please don't
consider this a flame in any way, shape, or form -- I just want to help get
you on the right track.

Edward (Ted) Jackson, of Eastman Kodak, wrote a three-part series on PCA for
the _Journal_of_Quality_Technology_ which appeared in 1981. It's a great
introduction. I think he also wrote a book on the subject.

There are a variety of books on a related topic, Factor Analysis. Be advised
that this is only a related topic; PCA is only treated as a special case, if
at all. One of the best is the Third Edition of _Modern_Factor_Analysis_ by
Harry Horace Harmon. BTW, Part 3 of Ted Jackson's series in JQT covers
Factor Analysis.

Finally, there are books on multivariate analysis that discuss PCA.
Gnanadesikan's _Methods_for_Statistical_Data_Analysis_of_Multivariate_
_Observations_ provided me with a starting point for my thesis work on
non-linear PCA about 8 or 9 years ago.

Good luck!
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