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I am struggling with a problem here. I have 6 data points, and I have found the solution of a model which I believe should describe the behavior of the data. Now I am trying to fit the parameters of the solution to the 6 data points.

The model contains 5 degrees of freedom, all of which are known - but not very precise. When I fit the expression to the data, I get very large standard deviations on my parameters - in addition they are not close at all to their expected values.

Naturally it is very well a possibility that my model is simply wrong. However I am also doubting how much value I can assign to the fit. Visually it looks good, but the reduced χ^{2}>>1.

My question is, is it possible to be in a situation where the number of data points is so few that the statistics is simply too bad in order to determine so many degrees of freedom?

Thanks for any feedback in advance.

Best,

Niles.

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# Amount of data vs. degrees of freedom in fit

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