Question

A chi-square test for independence is being used to evaluate the relationship between two variables. If...

A chi-square test for independence is being used to evaluate the relationship between two variables. If the test has df = 3, what can you conclude about the two variables?

One variable consists of 2 categories and the other consists of 3 categories
One variable consists of 2 categories and the other consists of 4 categories
Both variables consists of 2 categories
Both variables consists of 3 categories

Homework Answers

Answer #1

Answer: One variable consists of 2 categories and the other consists of 4 categories

Reason: For Chi square test for independence , Degrees of freedom = (r-1)*(c-1)

where r - number of rows and

c - number of columns

we know that df = 3

df = (r-1)*(c-1) = 3

if we consider r= 2 and c= 2, the df = 1 which is not correct

if we consider r=3, c=3 then df = 2*2 =4 which is also not correct

if we consider r = 2, c= 3, then df = 1*2 = 2 which is also not correct

but if we consider r = 2, c= 4 , then df = 1*3 = 3 which is the given df

Henec we have One variable consists of 2 categories and the other consists of 4 categories

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
​ A chi-square test for goodness of fit is used to examine the distribution of individuals...
​ A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across the six categories in a 2×3 matrix of categories. Which test has the larger value for df? a. ​The test for goodness of fit b. ​Both tests have the same df value. c. ​The test for independence d. ​The df value depends on the sizes of...
create an example to which the chi-square test of independence could be applied. Address the following:...
create an example to which the chi-square test of independence could be applied. Address the following: Identify two categorical variables for which a chi-square test of independence could be conducted. Describe the categories of each. Explain why these would be appropriate for this test. Predict whether or not the chi-square test result would be significant, and what this would imply about the variables.
The P-value for a chi-square test is always one-tailed. This is true because of all of...
The P-value for a chi-square test is always one-tailed. This is true because of all of the following reasons, EXCEPT: Group of answer choices Observed data that is either higher or lower than the null hypothesis predicts will result in a positive chi-square value. Only a large positive value of chi-square provides stronger evidence to conclude HA. A chi-square distribution is skewed. The chi-square statistic is always positive, unlike a z or t statistic which can be ether positive or...
Explain how the chi-square test of independence can be used to test the difference of two...
Explain how the chi-square test of independence can be used to test the difference of two proportions.
Problem Set 5.4: Alternative to Chi-Square as a Test of Independence Criterion: Identify an alternative to...
Problem Set 5.4: Alternative to Chi-Square as a Test of Independence Criterion: Identify an alternative to chi-square as a test of independence. Data: A chi-square test of independence could be used to examine the relationship between overhead light preference (on or off) and glasses use (wearing or not wearing). Instruction: Answer this: What other type of test could be used to measure this data? Explain. (hint: the answer is NOT fishers exact test)
The Chi square test is used to (select all that apply): Test for association between two...
The Chi square test is used to (select all that apply): Test for association between two categorical variables Compare a categorical variable across two independent samples Test a single categorical variable for goodness-of-fit to a proposed distribution None of the above
One of the requirements of a chi-square test is independence - subjects cannot fit in more...
One of the requirements of a chi-square test is independence - subjects cannot fit in more than one category. This is because of the way the chi-square analysis is set up, as you are looking at predicted and expected ratios. There's another requirement in that categories must be exhaustive - everyone must fit into one of the categories. This is done for the same reason. Do you feel that this is a weakness of chi-square analyses? It's often argued that...
Practice finding degrees of freedom for a Chi-square test. Goodness of fit categories - 1 Independence...
Practice finding degrees of freedom for a Chi-square test. Goodness of fit categories - 1 Independence (rows -1)( columns -1) Homogeneity categories -1 Variance n-1 To look up a p-value for Chi-Square test you need to know the degrees of freedom. A goodness of fit test has 7 categories. What degrees of freedom do you use? A test for homogeneity has 9 categories. What is the degrees of freedom, d.f.? A test for independence has 3 rows and 9 columns....
The same formula is used to calculate the chi-square statistic in the chi-square test for goodness-of-fit...
The same formula is used to calculate the chi-square statistic in the chi-square test for goodness-of-fit and the chi-square test of independence. Which calculation differs along the way for these two tests?
1. Suppose that you have two categorical variables. The first variables has 3 levels and the...
1. Suppose that you have two categorical variables. The first variables has 3 levels and the second variable has 5 levels. Determine the degrees of freedom for the chi-square test for independence for these variables.... 2. Suppose that you have two categorical variables. The first variables has 4 levels and the second variable has 5 levels. Determine the number of cells for the chi-square test for independence for these variables....