Re: God=G_uv proves 40k B.C. Creation

From: George Hammond (nowhere_at_nomailspam.com)
Date: 09/30/04 

Date: Wed, 29 Sep 2004 22:36:30 -0400

"Goran Dhemmeog" <hcraeser731@hotmail.com> wrote in message
news:b9eccd47.0409290232.41764d5d@posting.google.com...
> "George Hammond" <nowhere@nomailspam.com> wrote in message
news:<ScSdnQ43qsyM38fcRVn-rA@comcast.com>...
> > "Goran Dhemmeog" <hcraeser731@hotmail.com> wrote in message
> > news:b9eccd47.0409270143.43daf0b@posting.google.com...
> > > "George Hammond" <nowhere@nomailspam.com> wrote in message
> > news:<Kf6dnQ00l716MsvcRVn-og@comcast.com>...
> > > > "Goran Dhemmeog" <hcraeser731@hotmail.com> wrote in message
> > > > news:b9eccd47.0409242332.7d2a04d2@posting.google.com...
> > > >
> > > >
> > > > <snip mindless amateur statistics math>
> > > >
> > > > > > > Please point the place where you disagree.
> > > > > >
> > > > > > [Hammond]
> > > > > > Look. (XYZ) has to correlate EQUALLY with X and with Y
> > > > > > and with Z, because the equation "XYZ" is SYMMETRIC
> > > > > > in X, Y and Z! This means that when the vector "XYZ" is plotted
> > > > > > in X-Y-Z Cartesian Psychometry space, it MUST fall midway
> > > > > > between the X, Y and Z axes. Which makes it a "body diagonal"
> > > > > > of the CUBE defined by X-Y-Z. This is a theoretically
> > unchallengable
> > > > > > statement. The 3 directions cosines (correlations) of the
vector
> > > > > > "XYZ" with X and Y and Z, are EQUAL!!
> > > > > > And this is exactly what Thurstone experimentally found when
> > > > > > he experimentally plotted the vector "XYZ" in X-Y-Z space for
> > > > > > the 20 boxes that he measured. End of argument.
> > > > >
> > > > > Please read the proof I provided.
> >
> > [Hammond]
> > PROOF OF WHAT????
> >
> > The proof of my statement is given in the 11 lines posted above.
> >
> >
> > > >
> > > > [Hammond]
> > > > The result you have obtained, right or wrong is IRRELEVANT
> > > > to Thurstone's Box Problem as I have just explained above.
> > > > The ACTUAL CORRELATION of x with xyz is IRRELEVANT
> > > > to the proof that it must be a diagonal symmetry axis. That fact
> > > > depends ONLY on the fact that XYZ is symmetirc in X, Y and Z.
> > > > and NOTHING ELSE.
> > >
> > > That's the spirit George: "Screw the algebra! I know better!"
> >
> > [Hammond]
> > Oh fcuk you.... the algebra is elementary, the correlation of X with
> > XY is simple minded arithmetic.... my calculation gives me:
> >
> > E{X^2}*E{Y}-E{X}*E{X}*E{Y}
> >
> > Corr(x,xy) = -------------------------------------
> >
> > sqrt( Var{X}*( E{X^2}*E{Y^2}-E{X}^2*E{Y}^2 ) )
> >
> >
> > which can be simplified to:
> >
> > SD[x] E[y]
> > Corr[x,xy] =----------------------------------------------------.
> > Sqrt(Var[x] Var[y] + Var[x] E[y]^2 + E[x]^2Var[y])
> >
> > which shows that as long as E(y) is not zero... the correlation can be
> > anything. And in THURSTONE'S BOX PROBLEM E(y) E(x)
> > and E(z) are all NON ZERO, so Corr[x,xy]=Corr(y,xy]= non-zero
> >
> > The ONLY RELEVANT FACT IS:
> >
> > Corr(x,xy) = Corr(y,xy)
> >
> > and
> >
> > Corr(x,xyz) =Corr(y,xyz) = Corr(z,xyz)
> >
>
> Charming that you asked for help, and politely, in sci.math.stat.

[Hammond]
Coopman was kind enough to confirm my result independently,
so I know the equation is correct.

> But
> please note that if Var{X}\=Var{Y} then Corr{X,XYZ}\=Corr{Y,XYZ},
> which is evident from the formula above. Why should the case of
> Var{X}=Var{Y}=Var{Z} be so universal that it proves all the factor
> analysis in psychometry?

[Hammond]
Look... you're shoveling *** against the tide.... Thurstone's Box
Problem is a famous historically established scientific truth known
to tens of thousands of Factor Analystis and scientists today.
It is classic testbook material.
  Secondly, Psychometry uses (universally) "Z-scored" variables
with zero mean and unit variance, so Var(X)=Var(Y)=Var(Z)
IDENTICALLY. the Variances are ALWAYS the same in
Psychometry.
   FURTHERMORE the human brain does not operate on simple
equations like (x+y) or (xyz) etc. So none of the correlations in
Psychometry are "zero because of simple algebra considerations".
  Thurstone was a genius, and invented the "Box Problem" because
he INTUITIVELY divined that ultimately the so called "Structural
Model of Personality" would turn out to be a "Box", and history
has proven him right (Hammond 1994).

> Even if Var{X}=Var{Y} the angles still do not
> match to the simple drawing in the book. You cannot pass that simply
> by references to symmetry, when actually the dependencies of the
> function XYZ cannot be plotted in this space as a single straight
> line!

[Hammond]
I just told you the equation "xyz" has nothing to do with the human
brain. It is a symmetry in a simple "Box Problem", but there are
other more complex geometric/neuropsychological reason producing
the "Box" in Psychometry.... namely that the brain is composed of 8
octant lobes, and this is why Personality shows up in Psychometry
space as a "cube".
   Basically, you're only an unsopisticated pop mouth amateur and the
entire analysis is beyond your scientific means.

> Again: the illustration in Thurstones book is meant for the
> students to visualize the correlations of the linear parts in this
> particular example only. Nothing more!

[Hammond]
Neither Thrustone who wrote the book, not I who has
discovered the Structural Model has any interest in the
pop mouth opinions of a scientific amateur.

> You cannot say that this
> picture is some cosmic relationship.

[Hammond]
I'm sure it looks "cosmic" to you... it doesn't to either
Thurstone or me.
   The fact that the "Structural Model of Personality" DOES in fact
turn out to be identical to "Thurstone's Box Problem" (Hammond 1994)
is a fact that is not going to be lost on more sophisticated scientific
minds
than yours... just because you're to ignorant to appreciate (or more
accurately
to arrogant to admit it) doesn't mean that it isn't obvious to bona fide
scientists. Of course, as far as the proof of SPoG is concerned... it is
neither here nor there.... other than to point out "another" example
of a "cube" appearing in Factor Analysis. The "rest of the story"
will remain privy to the exclusive club of Psychomitrists and Factorists
formed by Thurstone, Me, Cattell and a few dozen others.

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