Summary
Summary Chapter 12 (SUT 2.1.2): Test of independence
- Module
- Institution
- Book
Chapter 12 (MBS) explains how to conduct a chi-square test in the test of independence
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
Test Bank for Essentials of Modern Business Statistics 2nd edition with microsoft excel.pdf
-
Get the Competitive Edge with the Premium [Contemporary Business Statistics with Microsoft,1e,Williams,International edition] Test Bank
-
Introduction to Probability (STK110 Chapter 4)
Seller
Followalyshagurnell
Reviews received
Content preview
Chapter 12Study Unit 2.1
TEST OF GOODNESS OF FIT AND
INDEPENDENCE
, Study Unit 2.1.2
The Chi-square χ 2 Test of Independence
https://www.socscistatistics.com/tests/chisquare2/default2.aspx
Webpage to do chi-square without doing your own calculations.
1. The chi-square χ 2 test of independence is used to determine if two categorical variables
from one population are independent.
2. The test firstly poses a question about whether variable A and B are independent. This is
done using a Null and Alternative Hypothesis statements.
3. Thereafter, the test makes use of several calculations to see if the null hypothesis
statement is rejected or not.
4. The test compares what is observed vs. what is expected.
Expected frequency formula:
row s i × colum n j
Expect ed ij = ¿
sample ¿ n ¿
Chi-Squared test statistic formula:
χ 2=∑ ∑ ¿ ¿ ¿ ¿
i j
What does the Chi-square test statistic mean and indicate?
The Chi-square test statistic is a value that will indicate if the null hypothesis 𝐻0
(independence) is true or not.
It compares the observed frequencies vs the expected frequencies, which was
calculated under the assumption of independence, from the two-way cross table.
If the test statistic is a large value, then it means that there is a big difference between
what is observed and what is expected.
If the test statistic is a small value, then it means that what is observed is close to what
is expected.
Example:
Consider the situation of the promotion status of male and female officers of a major
metropolitan police force.
The police force consists of 1200 officers, 960 men and 240 women.
Over the past two years, 324 officers on the police force received promotions.
The specific breakdown of promotions for male and female officers is shown in the table
below:
2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller alyshagurnell. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £4.06. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
64438 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now