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Is the interpretation of probit regression the same as linear regression?


Asked by Jonathan Garcia on Dec 10, 2021 FAQ



However, interpretation of the coefficients in probit regression is not as straightforward as the interpretations of coefficients in linear regression or logit regression.
In addition,
Probit regression, also called a probit model, is used to model dichotomous or binary outcome variables. In the probit model, the inverse standard normal distribution of the probability is modeled as a linear combination of the predictors.
Similarly, In Stata, values of 0 are treated as one level of the outcome variable, and all other non-missing values are treated as the second level of the outcome. Diagnostics: The diagnostics for probit regression are different from those for OLS regression. The diagnostics for probit models are similar to those for logit models.
And,
Probit Regression In Probit regression, the cumulative standard normal distribution function Φ(⋅) Φ (⋅) is used to model the regression function when the dependent variable is binary, that is, we assume E(Y |X) = P (Y =1|X) = Φ(β0 +β1X). (11.4) (11.4) E (Y | X) = P (Y = 1 | X) = Φ (β 0 + β 1 X).
Keeping this in consideration,
How to choose between logit, probit or linear probability model? To decide whether to use logit, probit or a linear probability model I compared the marginal effects of the logit/probit models to the coefficients of the variables in the linear probability model.