9.3 Inferences for one-way count data

Question 1

What is a multinomial distribution?

Answer 1

n independent and identically distributed trials
Each trial can be from one of c categories (c >= 2)

Like a binomial distribution, but with more than 2 outcomes for each trial

Question 2

What happens when c=2 in a multinomial distribution?

Answer 2

Becomes a binomial distribution.

Question 3

What is a Chi-square test?

Answer 3

Hypothesis test for univariate categorical data/variable.

e.g: Roll a die.
Test whether the probability of getting any number is the same.

Ho: P1=1/6, P2=1/6, P3=1/6, P4=1/6, P5=1/6, P6=1/6