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I was reading a paper and the authors wrote the equation for a logistic regression like this: Pr(yf = 1|X,C) = P(β1Xf + β2Cf + σs + ρr +  f sr > 0)

Is this a typical way of writing a logit regression?

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    $\begingroup$ I usually see $y=\exp(\beta_0+\beta_1 x)/(1+\exp(\beta_0+\beta_1 x))$ $\endgroup$
    – Derf
    Commented Oct 30, 2023 at 7:02
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    $\begingroup$ please (a) clarify the notation you are using, (b) write down the equation using markdown $\endgroup$
    – Spätzle
    Commented Oct 30, 2023 at 7:44

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In general, the equation for the logistic regression model is giving you the probability (Pr) of the binary outcome being 1 (yf = 1) given some information about predictor variables (explanatory variables; e.g., X and C).

Example: What is the probability (Pr) of suffering a stroke (Pr y = 1) given some well-known predictors like x1 = diabetes, x2 = hypertonia etc.

There are two forms of the equations (both are the same just written in an other way): see picture below --> Picutre: P(Y=1) should be P (Y=1 | X)

Picutre: P(Y=1) should be P (Y=1 | X)

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