For a total of 80 possible agreements, there are 60 times where Teacher A and Teacher B agreed on whether students in college checked their cellphone in the classroom.What is the interrater reliability coefficient?
A)1.33
B).80
C)25
D).75

Question

Quizplus · Accepted Answer

The interrater reliability coefficient can be calculated using Cohen's kappa formula, which takes into account the agreement that would be expected by chance alone.

kappa = (observed agreement - expected agreement) / (1 - expected agreement)

In this case, observed agreement = 60/80 = 0.75 (because there were 60 agreements out of 80 total possible agreements), and expected agreement can be calculated as:

expected agreement = (total number of agreements for Teacher A / total possible agreements) x (total number of agreements for Teacher B / total possible agreements)

expected agreement = (60/80) x (60/80) = 0.5625

Plugging these values into the kappa formula, we get:

kappa = (0.75 - 0.5625) / (1 - 0.5625) = 0.375 / 0.4375 = 0.857

So the interrater reliability coefficient is 0.857, which is closest to answer choice D (0.75).

For a Total of 80 Possible Agreements, There Are 60