Q 1.101. - Elementary Statistics

Question

In sampling from a population, state which type of sampling design corresponds to each of the following experimental designs: 

(a)  Completely randomized design 

(b)  Randomized block design 

Step-by-Step Solution

Answer

Part (a) Completely randomized design:- all experimental units are assigned at random among all treatments.

Part (b)  Randomised block design:- the experimental units are randomly assigned to all of the treatments within each block.

Part (a) Step 1. Given information.

The given statement is:

In sampling from a population, state which type of sampling design corresponds to each of the following experimental designs: 

(a)  Completely randomized design 

(b)  Randomized block design 

Part (a) Step 2. Completely randomized design.

All experimental units are assigned randomly among all treatments in a completely randomized design. 

As a result, we will utilize simple random sampling because all experimental units have an equal probability of receiving randomized treatments.

Part (b) Step 1. Randomized block design.

In a randomized block design, the experimental units are assigned to all of the treatments in each block at random.

We are using simple random sampling because all experimental units have an equal chance of receiving treatments in each specified in the design.

In the case of stratified sampling, we divide the population of the blocks into blocks or strata, and then a simple random sampling is used to select a sample from each stratum, and after that, we add all the samples from each stratum to assign treatments.