Question

pt 1.
You intend to conduct a test of independence for a contingency table with 5 categories in the column variable and 6 categories in the row variable. You collect data from 383 subjects.

What are the degrees of freedom for the χ2 distribution for this test?
d.f. =

pt 2.

Chi-square distribution has the following characteristics:

• positively skewed - shape is determined by degrees of freedom a
• nd begins at 0
• normal distribution with a mean of 0 and standard deviation of1
• negatively skewed - shape is determined by degrees of freedom and begins at 0
• positively skewedwith a mean of 0 and standard deviation of 1

pt 3.
You intend to conduct a goodness-of-fit test for a multinomial distribution with 8 categories. You collect data from 89 subjects.

What are the degrees of freedom for the χ2 distribution for this test?
d.f. =

Answer 1

(1)

Degrees of Freedom = (r - 1) X (c - 1)

                               = (6 - 1) X (5 - 1)

                                = 5 X 4 = 20

So,

Answer is:

20

(2)

Correct option:

positively skewed - shape is determined by degrees of freedom and begins at 0.

(3)

Degrees of freedom = number of categories - 1 = 8 - 1 = 7

So,

Answer is:

7