Re: goodness of fit test for data over time

Also, are the Kolgomorov-Smirnov test and the chi-square test
applicable in this situation, considering that (1) my curves are not
probability distributions and (2) the data points are not independent,
but related to each other over time.

Thanks.

jl wrote:
I have a set of measurements taken over a period of time, {(x1,
t1),...,(xn, tn)} where xi was the measurement at time ti and the ti
are evenly spaced times. There is clearly some trend in the data, say
it is parabolic, decreasing at earlier ti and increasing at later ti.
So I fit some polynomials to this data, say a quadratic f1(t), and then

a quartic f2(t).

I would like a goodness of fit test that will spit out a test statistic

that will allow me to test the hypothesis that the data set {(x1,
t1),...,(xn, tn)} follows the curve f1.

Ultimately the goal would be to use the test statistic to tell me
whether f1 is a better fit than f2.

Can anyone direct me to such a method for comparing fitted curves (in
general and not just for this specific case)?

Thanks,
JL

.

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