What’s this about?
When we fit models such as multivariate regression, MANOVA, or seemingly unrelated regression, we can make predictions for each response variable. When we fit models for ordinal or categorical response variables, we can make predictions for each outcome. margins calculates statistics such as marginal means, marginal effects, adjusted predictions, and predictive margins. These can also be computed for each response variable or for each outcome of an ordinal or a categorical variable. margins now automatically performs the requested marginal analysis for all variables and all outcomes. You can, of course, still request that it produce the analysis for only a single outcome or set of specified outcomes.
Let’s see it work
We have individuals assigned to one of five health statuses.
|5=excellent||Freq. Percent Cum.|
|poor||729 7.05 7.05|
|fair||1,670 16.16 23.21|
|average||2,938 28.43 51.64|
|good||2,591 25.07 76.71|
|excellent||2,407 23.29 100.00|
We fit an ordered logistic regression model for health status based on sex, age, and their interaction by typing
ologit health i.female##c.age
We can compute the predictive margin, the average predicted probability, for each health status by simply typing margins
|Margin Std. Err. z P>|z| [95% Conf. Interval]|
|1||.070893 .0024967 28.39 0.000 .0659995 .0757865|
|2||.1646632 .0035877 45.90 0.000 .1576315 .1716949|
|3||.2873167 .0044043 65.24 0.000 .2786844 .295949|
|4||.2469508 .00418 59.08 0.000 .2387581 .2551435|
|5||.2301763 .0039308 58.56 0.000 .222472 .2378806|
The probability of being categorized as having average health (health=3) is higher than for any other category.
We can graph this by simply using marginsplot.
How do the probabilities of being classified into each health status change with age? We compute the predictive margins for each outcome for ages ranging from 20 to 70 by typing
margins, at(age=(20(10)70)) (output omitted)
We will not show you the table of all thirty predictive margins. It is easier to see the interaction between health status and age by using marginsplot to graph them.
Based on our model, a 20-year-old is more likely to be classified as having excellent health than as having any other health status. However, a 70-year-old is most likely to be classified as having average health and least likely to be classified as having excellent health.