Which of the following yields a cluster sample?
A)All students in a class are divided into groups of 15.One student is randomly chosen from the 1st group, the remaining observations are every 15th student thereafter.
B)The best 15 students, according to the opinion of the instructor, in a class are selected.
C)All students in a class are grouped according to their gender.A random sample of 8 is selected from the males and a separate random sample of 7 is selected from the
Females.
D)All students in a class are divided into groups according to the rows that they are seated.One of the groups is randomly selected.

Question

Quizplus · Accepted Answer

In a cluster sample, the population is divided into groups or clusters and a random sample of clusters is selected. Option D states that the students are divided into groups according to the rows they are seated in and one of these groups is randomly selected. Therefore, it yields a cluster sample. Option A yields a systematic sample, option B yields a purposive or judgmental sample, and option C yields a stratified sample. In a cluster sample, the population is divided into groups or clusters and a random sample of clusters is chosen. Option D fits this definition as the students are divided into groups based on their seating arrangement and one of the groups is randomly selected. In contrast, options A, B, and C do not involve cluster sampling as they do not involve dividing the population into clusters before sampling. Option A is an example of systematic sampling, option B is an example of purposive or judgmental sampling, and option C is an example of stratified sampling.

Which of the Following Yields a Cluster Sample