What is the probit model based on?

The mixed-effects probit model presents an intriguing alternative for the examination of binary longitudinal data. It stems from the foundation of the standard normal distribution, offering a unique perspective on analyzing such data sets.

In this model, the cumulative distribution function (c.d.f.) and the probability density function (p.d.f.) of the normal distribution are utilized, marking a departure from the commonly employed logistic distributions.

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The adoption of the normal distribution's characteristics in the mixed-effects probit model allows for a more nuanced understanding of the relationships within binary longitudinal data.