How can you convert the odds ratio of the logit model into logit coefficients
To convert the odds ratio of a logit model into logit coefficients, follow these steps:
1. Take the natural logarithm (ln) of the odds ratio. This will transform the odds ratio into log-odds or logit scale.
2. The resulting value will be the logit coefficient.
The formula for converting odds ratio (OR) to logit coefficient (β) is as follows:
β = ln(OR)
Here's an example to illustrate the conversion:
If the odds ratio is 2.5, the conversion would be:
β = ln(2.5) ≈ 0.916
So, the logit coefficient would be approximately 0.916.
Note: The odds ratio represents the change in odds resulting from a one-unit change in the predictor variable, while the logit coefficient represents the change in log-odds resulting from the same one-unit change in the predictor variable.