Comparing parameter in non-linear regression

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CVR
CVR on 1 Oct 2013
Hi all, if I have 2 data, let's say X1 and X2. For X1, it contains measurement for different day. For X2, it has a measurement for different day. Let's say, X1 is for male population, and X2 is for female population.
For X1, we have :
day 4 -> 102
day 5 -> 2195
day 6-> 1595
day 7 -> 2687
day 8 -> 619
so on, until day 15.
For X2, we have :
day 4 -> 54
day 5 -> 2800
day 6-> 2200
day 7 -> 881
day 8 -> 500
We try to model these two data using a non-linear function f with parameter on this function. My question is, If I do non-linear regression, Is there a statistical test to test if the parameter for male population and female population are significantly different ?

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