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st: testing difference between maxima of 2 parabolas


From   "Julie Mao" <jmao@ualberta.ca>
To   <statalist@hsphsun2.harvard.edu>
Subject   st: testing difference between maxima of 2 parabolas
Date   Mon, 21 Apr 2003 19:31:43 -0600

Does anyone know how to test whether the maximum values of 2 parabolas (for
which the coefficients for x and x^2 were estimated from a regression) are
statistically different?

Given that a parabola takes the form:

	y = (A * x) + (B * x^2), where A and B are the estimated coefficients,

and given that the maximum of a parabola falls at:

	 x = A/(-2*B) [from setting the first derivative = 0],

and that I have the SE's for A and B for both parabolas... is there a way to
test whether the maximum from one parabola differs from that of another
parabola?


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