I know the question is a very elementary one, but I simply cannot understand the difference other than the fact that an SRS is a form of Multi-Stage Sampling. Can anyone provide a simple example(s) to help me understand the critical difference between these two sampling designs?


1 Answer 1


Multi-Stage Sampling:

Population: USA elementary school students

First stage sampling: 10 States from total of 50 States.

Second Stage: 20 Counties from total XX counties in selected XXXXX state in the first stage.

Third stage: 50 elementary schools from total yy elementary schools in the selected ZZZ county in the second stage

Fourth stage: 10 students from each selected school.

Finally, I got 10 * 50 * 20 * 10 = 100,000 students.

Stratified sampling:

Population: USA elementary school students

Geographically stratify USA into ten regions

Region I: Connecticut, Maine, Massachusetts, New Hampshire, Rhode Island, Vermont
Region II: New Jersey, New York, Puerto Rico, US Virgin Islands
Region III: Delaware, District of Columbia, Maryland, Pennsylvania, Virginia, West Virginia
Region IV: Alabama, Florida, Georgia, Kentucky, Mississippi, North Carolina, South Carolina, Tennessee
Region V: Illinois, Indiana, Michigan, Minnesota, Ohio, Wisconsin
Region VI: Arkansas, Louisiana, New Mexico, Oklahoma, Texas
Region VII: Iowa, Kansas, Missouri, Nebraska
Region VIII: Colorado, Montana, North Dakota, South Dakota, Utah, Wyoming
Region IX: Arizona, California, Hawaii, Nevada, American Samoa, Guam, Northern Mariana Islands
Region X: Alaska, Idaho, Oregon, Washington 

Randomly select 10,000 students from elementary schools from each region. I got a sample with 100,000 students.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.