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I have a regression model that includes IQ test scores as the dependent variable; my own education, my father's education and my mother's education as independent variables. Suppose I want to know whether the only way parents'education increases my IQ test score is through my own education. How would I test that hypothesis?

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    $\begingroup$ So if you think about this, then according to your hypothesis if we ran the regression of IQ test score on parents education then parents education should be significant. And if we regess IQ test score on own education then own education should be statistically significant. However, if we regress IQ test score on own education and parents education then parents education would be insignificant and own education would be significant since own education contains additional information than parents. This assumes that the model is correct and that there isn't something important that is missing. $\endgroup$ – Andrew M Nov 18 at 2:36
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For Bivariate Regression

Your model would be :

IQ = B0 + B1(Your Education)

For Multiple Regression:

You would use a correlation matrix/plot to do this. Basically it would give you a matrix with correlation values of all variables to each other 0 being none and 1 being perfect. This will also allow you to see the multicollinearity problem which is when independent variables are related to each other.

You can do this in R or Stata. I can post the R script of a similar regression I have done if you would like.

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