This topic contains a solution. Click here to go to the answer

Author Question: What is the rationale for df = (r - 1)(k - 1) in conducting a chi-square test of independence for a ... (Read 47 times)

Garrulous

  • Hero Member
  • *****
  • Posts: 686
What is the rationale for df = (r - 1)(k - 1) in conducting a chi-square test of independence for a contingency table with r rows and k columns?

Question 2

In carrying out a chi-square goodness-of-fit test, what are the k and m terms in the df = k - 1 - m expression and why is each term present?



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

tuwy

  • Sr. Member
  • ****
  • Posts: 336
Answer to Question 1

The rationale for df = (r-1) (k-1) is that this quantity represents the number of cell frequencies that are free to vary. Given that we know the sample size (the total number of observations in the table), we need only know the contents of (r-1) rows and (k-1) columns in order to completely fill in the cells within the r x k table.

Answer to Question 2

Given k is the number of categories or groups in the, and m is the number of population parameters that must be estimated from sample data in order to carry out the test. k-1 cells to determine the count in the kth cell. In addition, each population parameter that must be estimated also reduces our degrees of freedom.




Garrulous

  • Member
  • Posts: 686
Reply 2 on: Jun 24, 2018
:D TYSM


CAPTAINAMERICA

  • Member
  • Posts: 325
Reply 3 on: Yesterday
YES! Correct, THANKS for helping me on my review

 

Did you know?

Never take aspirin without food because it is likely to irritate your stomach. Never give aspirin to children under age 12. Overdoses of aspirin have the potential to cause deafness.

Did you know?

Looking at the sun may not only cause headache and distort your vision temporarily, but it can also cause permanent eye damage. Any exposure to sunlight adds to the cumulative effects of ultraviolet (UV) radiation on your eyes. UV exposure has been linked to eye disorders such as macular degeneration, solar retinitis, and corneal dystrophies.

Did you know?

The lipid bilayer is made of phospholipids. They are arranged in a double layer because one of their ends is attracted to water while the other is repelled by water.

Did you know?

The use of salicylates dates back 2,500 years to Hippocrates's recommendation of willow bark (from which a salicylate is derived) as an aid to the pains of childbirth. However, overdosage of salicylates can harm body fluids, electrolytes, the CNS, the GI tract, the ears, the lungs, the blood, the liver, and the kidneys and cause coma or death.

Did you know?

About 3.2 billion people, nearly half the world population, are at risk for malaria. In 2015, there are about 214 million malaria cases and an estimated 438,000 malaria deaths.

For a complete list of videos, visit our video library