Different outcomes

Example 6.4 of Mize, Doan, and Long (2019)

The same predictors can have different effects on different outcomes. Here two negative binomial models predict days of poor mental health and days of poor physical health from the same set of variables, and mecompare tests whether each predictor matters more for one outcome than the other. With no variable listed before the comma, mecompare computes marginal effects for every predictor in the models.

use "https://tdmize.github.io/data/data/gss_cme", clear
(gss_cme.dta | GSS 1972 - 2016 Weighted | 2018-07-10)
drop if missing(mntlhlth, physhlth, woman, married, age, faminc, race, college, parent, reltrad)
(57,404 observations deleted)

. 
quietly nbreg mntlhlth i.woman i.married i.parent i.college c.age faminc i.race i.year, vce(robust
)
estimates store mental
. 
quietly nbreg physhlth i.woman i.married i.parent i.college c.age faminc i.race i.year, vce(robust
)
estimates store physical

For the count models the marginal effects are changes in the predicted rate (expected number of days). Continuous predictors are changed by one standard deviation:

mecompare, models(mental physical) amount(sd)
Predicting: Predicted mean of mntlhlth (mental), Predicted mean of physhlth (physical)

Marginal effects and cross-model differences (N_mental=5062) (N_physical=5062)

                                 |  ME #   Estimate  Robust SE      P>|z|
---------------------------------+---------------------------------------
woman                            |                                       
                 Women - Men     |                                       
                          mental |     1      0.993      0.208      0.000
                        physical |     2      0.773      0.174      0.000
                      Difference |     3      0.220      0.229      0.337
---------------------------------+---------------------------------------
married                          |                                       
       Married - Not Married     |                                       
                          mental |     4     -1.010      0.230      0.000
                        physical |     5     -0.159      0.192      0.408
                      Difference |     6     -0.851      0.250      0.001
---------------------------------+---------------------------------------
parent                           |                                       
        Parent - No Children     |                                       
                          mental |     7      0.274      0.248      0.268
                        physical |     8     -0.269      0.219      0.218
                      Difference |     9      0.543      0.274      0.048
---------------------------------+---------------------------------------
college                          |                                       
    College Deg - No Col Deg     |                                       
                          mental |    10     -0.879      0.229      0.000
                        physical |    11     -0.542      0.189      0.004
                      Difference |    12     -0.337      0.254      0.184
---------------------------------+---------------------------------------
age + SD (centered)              |                                       
                          mental |    13     -0.496      0.124      0.000
                        physical |    14      0.450      0.099      0.000
                      Difference |    15     -0.946      0.133      0.000
---------------------------------+---------------------------------------
faminc + SD (centered)           |                                       
                          mental |    16     -0.476      0.135      0.000
                        physical |    17     -0.413      0.120      0.001
                      Difference |    18     -0.063      0.154      0.682
---------------------------------+---------------------------------------
race                             |                                       
               black - white     |                                       
                          mental |    19     -1.016      0.258      0.000
                        physical |    20     -0.531      0.217      0.015
                      Difference |    21     -0.485      0.279      0.083
               other - white     |                                       
                          mental |    22     -0.438      0.356      0.219
                        physical |    23      0.145      0.343      0.672
                      Difference |    24     -0.583      0.385      0.130
---------------------------------+---------------------------------------
year                             |                                       
                 2006 - 2002     |                                       
                          mental |    25     -0.944      0.270      0.000
                        physical |    26     -0.292      0.225      0.194
                      Difference |    27     -0.652      0.298      0.029
                 2010 - 2002     |                                       
                          mental |    28     -0.068      0.318      0.832
                        physical |    29      0.323      0.261      0.215
                      Difference |    30     -0.391      0.355      0.271
                 2014 - 2002     |                                       
                          mental |    31     -0.582      0.302      0.054
                        physical |    32     -0.229      0.245      0.351
                      Difference |    33     -0.353      0.324      0.275

Women report more poor physical health days, and more poor mental health days, than do men. The effect of gender is similar in size and not statistically significantly different across the two outcomes.

Married individuals report fewer poor mental health days than do the unmarried. Marriage has no significant effect on poor physical health days. The cross-model difference is significant, indicating a larger effect of marriage on mental than

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