What type of sample divides the population into nonoverlapping groups of N₁,N₂,N₃,...Ni,such that N₁ + N₂ + N₃ + ...+ Ni + N = N,and then performs a simple random sample of ƒ = n/N in each of the nonoverlapping groups?
A)simple random
B)stratified random
C)systematic random
D)cluster random

Question

What type of sample divides the population into nonoverlapping groups of N₁,N₂,N₃,...Ni,such that N₁ + N₂ + N₃ + ...+ Ni + N = N,and then performs a simple random sample of ƒ = n/N in each of the nonoverlapping groups?​
A)simple random
B)stratified random
C)systematic random
D)cluster random

Quizplus · Accepted Answer

The described sample design is known as stratified random sampling, where the population is divided into nonoverlapping groups based on certain characteristics or variables, and a simple random sample is taken from each group in proportion to its size. This method can increase the precision and representativeness of the sample since it accounts for variability within the population and ensures adequate representation of each subgroup.

What Type of Sample Divides the Population into Nonoverlapping Groups