chi-squared for fit and independence

Question 1

What sis the chi squared goodness of fit test used for?

Answer 1

Comparing the observed frequency distribution to that of the theoretical distribution

Question 2

What is the Chi squared G.O.F indexed by?

Answer 2

Indexed by the degrees of freedom

-where df = number of categories minus 1

Question 3

What is the Null hypothesis of the Chi squared G.O.F?

Answer 3

Ho: the expected count = total times the specified cell probability

Question 4

What is the Alternative hypothesis of the Chi squared G.O.F?

Answer 4

H1: the expected count does not equal the total times the specified cell probability

Question 5

What is the Chi squared G.O.F value given by?

Answer 5

sum of the observed minus expected values squared all divided by the expected values

Question 6

what is the the Chi squared test of independence used for?

Answer 6

To test independence between rows and columns

Question 7

What is the Null hypothesis of the Chi squared independence?

Answer 7

Ho: The two factors are independent

Question 8

What is the Alternative hypothesis of the Chi squared independence?

Answer 8

H1: The two factors are not independent

Question 9

How do you calculate the Expected count in the Chi squared independence?

Answer 9

Expected counts = the row total times the column total all divided by the grand total

Question 10

How are the degrees of freedom calculated for the Chi squared independence?

Answer 10

df = (#columns -1) x (#rows -1)

Question 11

What does a high Chi squared independence value tell us?

Answer 11

The is strong evidence against Ho