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If you were testing the hypothesis that age would have an effect on your dv for men, but not for women, would you measure this by doing a multiple linear regression with sex and age as the predictors for your DV or by splitting the data into male/female scores and then doing a simple linear regression with age as your predictor for each?

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  • $\begingroup$ What's the null hypothesis here? Is it that age has no effect for both sexes? That age has the same effect for both sexes? Something else? Or are there really several underlying hypotheses you want to consider here? $\endgroup$
    – Glen_b
    Commented Oct 6, 2021 at 23:39
  • $\begingroup$ @Glen_b I have to test for two hypothesis, the first that age will have a positive effect on the DV for men and the second is that it will have no effect for women. So I guess the null hypothesis would be that age has the same effect for both sexes? I'm very new to statistics so I'm not completely sure how to go about answering that kind of question. $\endgroup$
    – Amber
    Commented Oct 6, 2021 at 23:47
  • $\begingroup$ What do you mean that you want to show that age has no impact on women? What of the impact is $0.00001$? That value, after all, is not zero. // Frank Harrell, a Vanderbilt statistics professor and high-reputation member here, often says that age tends to have a nonlinear relationship with response variables. Do you definitely just want to test for a linear effect? // Have you plotted your two variables, with the points for men and points for women in different colors? $\endgroup$
    – Dave
    Commented Oct 7, 2021 at 2:48
  • $\begingroup$ @Dave rank Yes it doesn't have a linear relationship with the data we have been given either, but we have to preform the test and then explain why the model was a poor fit because the assumptions for the linear regression model were violated. With the problem set we have to work through, I don't have any more information on the hypothesis other than that, it just says: Use linear regression to test the following hypotheses: 1. The rate of the DV is higher for younger males, compared to older males. 2. For females, the rate of the DV does not vary depending on age. $\endgroup$
    – Amber
    Commented Oct 7, 2021 at 2:57
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    $\begingroup$ I don’t see a good way to do this without an age:sex interaction term. $\endgroup$
    – Dave
    Commented Oct 7, 2021 at 3:32

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