RE: Just a short comment on Factor Analysis, and on God...

From: Adrian Teo (ateo@whitworth.edu)
Date: Mon May 21 2001 - 14:07:14 EDT

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    Judging from this response below and the other ad hominems directed at
    Vince, I think George is not interested in discussion. I think this may be a
    joke, but with all due respect to George, if he really takes this seriously,
    then I should not insult him by calling it a joke. So respectfully, George,
    I don't think you have a case here and I am not persuaded by your thesis.

    Adrian.

    Note: The peer-reviewed published paper offers no new analyses, only
    theoretical speculations - hardly proof of anything, let alone how the
    models can actually be integrated.

    -----Original Message-----
    From: George Hammond [mailto:ghammond@mediaone.net]
    Sent: Sunday, May 20, 2001 3:38 PM
    To: asa@calvin.edu
    Subject: Re: Just a short comment on Factor Analysis, and on God...

    > Adrian Teo wrote:
    >
    > Vince is essentially correct in his claim that factor analysis (FA) does
    > not interpret. To be more precise, FA is not even a single method, but it
    > refers to a collection of related algebraic manipulations which is part of
    > a large family of analyses of covariance matrices. FA can be exploratory,
    > where you allow the data to "speak for itself" or confirmatory, where you
    > test particular hypotheses about the underlying structure of the data set.
    > The data reduction approach that Vince and I think Hammond is talking
    > about sounds like Principle Components Analysis, an exploratory approach.
    > For a quick, easy and reliable reference, Sage University has a series of
    > booklets on statistical procedures and there is one by Kim and Mueller
    > that introduces this class of analysis. This discussion has sometimes
    > given the impression that FA is some complex, exotic statistical approach
    > that few understand, when in fact, it is commonly used and discussed in
    > personality assessments, aptitude and achievement test constructions, and
    > diagnostic measures. Many graduate students in various branches of
    > psychology take such a course in their second or third year.
    >

    [Hammond]
      This is all true and of course might have been copied off the
    first page of any (modern) textbook on Factor Analysis.
      However, you don't have to know anything about Factor Analysis
    mathematics to figure out what the scientific proof of God is...
    all the F.A. work has already been done and it took thousands of
    scientists a hundred years to do it.
      The bottom line is that all evidence converges to E,N,P,g
    at the 2nd order, and that these 3 dimensions (eigenvecors, Factors)
    are caused by the gross macroscopic structural geometry of the
    brain (Hammond 1994). Most of you have heard of "Sperrian Lateralization",
    well, that's just the 1st-axis, turns out there are 2-more just like
    Sperry's axis (Bell-Magendie, and the Neuraxis itself). This
    causes E,N,P. When you add IQ to that, which is a "time dimension"
    (mental speed = IQ), then you have 3-space axes and 1-time axis,
    and SURE ENOUGH, you can show how they are physically, mechanically,
    causally caused by the 4-axis of space-time (X,Y,Z,t so called)
    of real space. Now let me repeat that, X,Y,Z,t PHYSICALLY
    MECHANICALLY CAUSES E,N,P,g in Psychology.... they are not just
    "similar", there is a direct chain of physical causation (brain
    geometry is caused by space geometry).
      OK, from there (all of which has now been overwhelmingly proven),
    it is only a trivial step to the scientific proof of God.... in fact,
    all you do is factor the 4x4 correlation matrix of E,N,P,g (which
    can only have a single factor), and that factor is GOD.
    QED, God exists.

    > And BTW, the ENP by Hans Eysenck is only one of several models that
    > reduces personality measurements to common factors. A much more widely
    > accepted model is the Big Five (as the name suggests, there are not 3, but
    > 5 factors). Eysenck's ENP has not been consistently supported in the
    > literature.

    [Hammond]
    A little bit of knowledge is dangerous (fortunately
    not dangerous enough). Turns out 3 of the Big-5 dimension
    ARE IN FACT identical to Eysenck's E,N,P.. and the other
    two are simply two diagonals in the E-N plane. I have published
    the proof of this in the peer reviewed literature (Hammond 1994):

    HAMMOND G.E. (1994) The Cartesian Theory: Unification of
                        Eysenck and Gray, in: New Ideas In Psychology,
                        Vol 12(2) pp 153-167, Pergamon Press

    And it reconciles ALL of the known and published F.A. models in
    the literature including Eysencks Giant 3, AVA 4, Big-5, Brand's
    Big-6, K&J's 7F, Saucier's 9F, and finally Cattell's 13F 2nd
    order model. as is proven by Hammond (1994), ALL OF THESE MODELS
    are just the various symmetric redactions of the 13-Symmetry axes
    of the common cube. This is proven to two decimal point accuracy
    by simply taking the arcosine the published correlation coefficients
    and showing that form said geometrical structure. Cattell, the old
    master, is of course the only one to have actually resolved all
    13 actors of the cube. The Big-5 was discovered by Norman, Goldberg,
    Costa & McCrae etc. who are basically academic types equipped
    with a desktop computer, commercial Factor Programs, and readily
    available captive test subjects (students, patients) etc.
      Of course the stronger the redaction (lower the number of redacted
    axes) that you take in the cube, the MORE ROBUST the result, since
    you're forcing all of the variance into fewer factors. In fact,
    Eysenck's-3 (ENP) is the STRONGEST simply because of this, while
    Cattell's "all 13 cubic axes" is the hardest to clearly resolve
    because the variance is spread among all 13 axis.
      BTW, you can look at a cube and count the axes; 3-Normals, 4-Body
    Diagonals, and 6 "face diagonals" (see any geometry book). So,
    3+4+6=13.

    For your reading convenience and enjoyment I have placed a
    fully illustrated facsimile copy on my website at:

    http://people.ne.mediaone.net/ghammond/cart.html



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