Chi-squared tests

Question 1

When setting up your Hypothesis for a Chi-Squared test, What is your null and Alternate hypothesis

Answer 1

H(0): the two variables are independent
H(1): the two variables are not independent

Question 2

In a contingency table, what is the expected value of a cell i

Answer 2

E(i)= row total x column total /overall total

Question 3

What is the Chi-squared value and how is it calculated

Answer 3

The Chi-squared value that gives the difference between the observed values, O(i) and the expected values E(i).

χ2(calc)=Σ (O(i)-E(i))^2/E(i)

Question 4

in an n by m contingency table the number of degrees of freedom is….

Answer 4

v=(n-1)(m-1)

Question 5

What needs to be true for all E(i) in a contingency table

Answer 5

E(i)>5

Question 6

if your test statistic is less than the value in the statistical value, then what conclusion is made

Answer 6

Do not reject H(0)

Question 7

if your test statistic is more than the value in the statistical value, then what conclusion is made

Answer 7

Reject H(0)

Question 8

when v=1 what correction is used to account for the Chi-Squared test and how is it calculated

Answer 8

Yates correction

χ2(Yates)=Σ (|O(i)-E(i) |-0.)^2/E(i)