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Say you have a design that looks like a 2 by 2 factorial ANCOVA, but your dependent variable is a 0/1 variable. In such a case, using a normal ANCOVA is not really appropriate since the variable is 0/1, so instead you use probit. You code the data using dummy codes to indicate the main effect of factor 1 (b1) the main effect of factor 2 (b2) and the interaction (b1 * b2 = b3), and you have a covariate. You then run the probit as shown below
clear input y cell b1 b2 b3 cov1 0 1 0 0 0 43 1 1 0 0 0 54 0 1 0 0 0 44 0 2 0 1 0 49 1 2 0 1 0 45 1 2 0 1 0 42 0 3 1 0 0 54 1 3 1 0 0 34 1 3 1 0 0 56 0 4 1 1 1 45 0 4 1 1 1 67 1 4 1 1 1 54 end probit y b1 b2 b3 cov1
Probit estimates Number of obs = 12
LR chi2(4) = 1.48
Prob > chi2 = 0.8300
Log likelihood = -7.5772029 Pseudo R2 = 0.0890
------------------------------------------------------------------------------
y | Coef. Std. Err. z P>|z| [95% Conf. Interval]
---------+--------------------------------------------------------------------
b1 | .8854965 1.063108 0.833 0.405 -1.198157 2.96915
b2 | .8240042 1.060277 0.777 0.437 -1.2541 2.902108
b3 | -1.575389 1.551571 -1.015 0.310 -4.616412 1.465635
cov1 | -.0188094 .0544449 -0.345 0.730 -.1255194 .0879006
_cons | .466865 2.699602 0.173 0.863 -4.824257 5.757987
------------------------------------------------------------------------------
Then, if you want to get predicted probabilities for each cell, but adjusted for the covariate, you use the adjust command below. Note that by(cell) is just giving you the probabilities for the 4 cells of the 2 by 2.
adjust cov, by(cell) pr ci
The output is shown below, with the predicted probabilities and the confidence intervals.
-------------------------------------------------------------------------------
Dependent variable: y Command: probit
Variables left as is: b1, b2, b3
Covariate set to mean: cov1 = 48.916668
-------------------------------------------------------------------------------
----------+-----------------------------------
cell | pr lb ub
----------+-----------------------------------
1 | .325193 [.028601 .840207]
2 | .644598 [.125401 .970618]
3 | .667227 [.144304 .97293]
4 | .37482 [.028089 .898211]
----------+-----------------------------------
Key: pr = Probability
[lb , ub] = [95% Confidence Interval]
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