Date: Mon, 16 Aug 1999 12:57:56 +0200
From: "Gatherer, D. (Derek)" <D.Gatherer@organon.nhe.akzonobel.nl>
Subject: RE: Defection Rates and Classes (was Parody of Science)
To: "'memetics@mmu.ac.uk'" <memetics@mmu.ac.uk>
Tim:
The (1-D) term above is simply derived from the math -- if D=0.05 (in other
words 5% of the workers children move up), obviously 100% minus 5% (or (1-
D) in decimal terms) of the workers children don't.
Derek:
Yes, but why then:
>P' = ( ( P * (1-D) ) * Rp ) + ( ( W * D ) * Rw )
I'm not sure why 1-D appears as part of the calculation for the propagation
of the professional class.
P' = (P * Rp) + (W * D) would be simpler??????
Tim:
To break the equations I used down further for you:
D = the potion of a class whose children change class
(1-D) = the portion of a class whose children stay in the same class
Derek:
but doesn't this conflate 2 variables into 1? D cannot be the same for the
2 classes.
Tim:
therefore,
(( P * (1-D) ) * Rp) = the number of children from professional class
parents that will themselves enter the professional class in the next
generation (old money)
Derek:
Let's just call that P * Rp, since the movement downwards will be
negligible. In any case I don't see why, if we have to have movement
downwards, it will be of the proportion 1-D.
Tim:
(( P * (1-D) ) * Rp) = the number of children from working class parents
that will also enter the working class in the next generation
(( W * D ) * Rw ) = the number of children from working class parents who
will enter the professional class in the next generation (new money, if you
will)
Derek:
I think you've managed to get the 2 above juxtaposed (???) The number of
working class children who enter the prof. class is:
W * Rw * D (you have this above)
and the number who stay in the working class is:
W * Rw * 1-D
This is where 1-D comes in. What I don't understand is why it is associated
with P in some bits of your equations.
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