Hi,

I run the following linear probability model:
Code:
reg nodad k1sex i.meduc i.state i.mdecade i.mrace mage mage2 mage3 [pweight=wf]
whereby nodad is a dummy indicating if the family is living with the father, k1sex is a dummy for the sex of the first child and the other variables are controls.

The variable of interest, k1sex, is insignficiant with a p-value of around 0.3, sample size is 19,588.

Is there a test to check whether the coefficient is insignificant because there is no statistical correlation or because the sample is just too small to infer significance?

And if so, how can I calculate the necessary number of observations?

Thanks in advance,
NM