the logit of a probability is defined as L = ln(p/(1-p) p in this case is the value we want to reach ( ie 56%) Probabilities range from 0 to 1, whereas logits range from minus infinity to plus infinity A probability of 0.5 corresponds to a logit of 0 A probability of 0.55 corresponds to a logit of 0.2 so in order to reach the probability of 0.56 quoted in the text, we would need to have a logit(probability) of around 0.2, and not -41.78 plug 0.56 into the formula above ( L = ln(p/(1-p)) we get ln(0.56/0.44) = 0.24 so in order to get a probability of 0.56, the logit ( right hand side of the equation) would need to be 0.24. So maybe its not a straightforward logit function? |