probability, odds, log-odds

Question 1

probability range

Answer 1

0 to 1

Question 2

odds range

Answer 2

0 to infinity

Question 3

log-odds range

Answer 3

negative infinity to infinity

Question 4

log-odds

Answer 4

natural logarithmic of the odds
provide linear relation and can be extended to models with multiple predictors

Question 5

odds

Answer 5

ratio of the probability of the event occurring to the probability of the event not occurring

Question 6

how to obtain odds from probability

Answer 6

odds = probability value / 1 - probability value

Question 7

how to obtain log-odds from probability

Answer 7

log(odds value)
or
log(probability value / 1 - probability value)

Question 8

how to obtain probability from odds

Answer 8

odds / 1 + odds

Question 9

what do odds ratios show

Answer 9

a change in odds with a unit increase in x

Question 10

odds ratio effects

Answer 10

OR of 1 = no effect
OR of less than 1 = negative effect
OR of more than 1 = positive effect

Question 11

why would you translate log-odds to odds ratios, and how would you do so?

Answer 11

why? To aid interaction
exponentiate the coefficients from the model