Compared to a correlation coefficient. A correllation will tell you that there is a significant association between variable X and variable Y..but an odds ration goes further to tell you how variable X and Y is related.
What is the relationship between logistic regression coefficients and odds ratio?
Odds ratios and logistic regression When a logistic regression is calculated, the regression coefficient (b1) is the estimated increase in the log odds of the outcome per unit increase in the value of the exposure.
How do you convert a regression coefficient to an odds ratio?
To calculate the odds ratio, exponentiate the coefficient for a level. The result is the odds ratio for the level compared to the reference level. For example, a categorical variable has the levels Hard and Soft, and Soft is the reference level.
What is odds ratio in regression?
On the other hand, odds are the ratio between probabilities: the probability of an event favorable to an outcome and the probability of an event against the same outcome. Probability is constrained between zero and one and odds are constrained between zero and infinity. And odds ratio is the ratio between odds.
What is correlation versus regression coefficient?
Correlation quantifies the strength of the linear relationship between a pair of variables, whereas regression expresses the relationship in the form of an equation.
What is the formula for the odds ratio?
In a 2-by-2 table with cells a, b, c, and d (see figure), the odds ratio is odds of the event in the exposure group (a/b) divided by the odds of the event in the control or non-exposure group (c/d). Thus the odds ratio is (a/b) / (c/d) which simplifies to ad/bc.