Explain the factorial design with the help of a suitable example. 

What is Factorial Design:--

Now let us come to the term factorial design. Factorial design is an aspect of experimental design. As explained in the above part of the blog, many experiments require two or more variables for the research conduct. 

In practical form, it becomes hard for the researchers to find all the possible combinations of the levels of the variables and factors for the investigation process.

Thus, researchers employ a technique named Factorial Design. Factorial design helps to complete the trial and replication of an experiment. It also investigates all possible combinations of the variables and functions. Thus, factorial design makes the tasks of researchers easier and reliable.

How does Factorial Design Work:--

A factorial design simply works by replicating the levels of factors or variables. Let us consider a simple example to understand this process more clearly. For a particular experiment, there are two variables used A and B. Variable A has a levels, while the other variable B has b levels.

The factorial design will form a replicate that contains all possible ab combinations. In literal terms, factorial design will investigate the influence of all the experimental variables, factors and integration effects on the response. If the variable or factor consists of k factors. 

The total of 2k experiments will be performed. Or, if the 2 variables are involved in the research a total of 4 experiments would be performed, if 8 variables are involving factorial design will conduct 256 experiments.

Though, it is not always essential to conduct experimental research in factorial design format. But for the experiments involving a higher number of variables, factorial design is generally a good and efficient experimental approach. 

The reasons behind it are that the risk of missing non-linear relationships in between the process is __________ ____ _____ ________ _____ __________.
_______ __________ __________ _____ __________ _____ _______ ______ ____ ________.
__________ _________ ______ ______ _____ ________ ____.
_________ ____ __________ _________ _____ ________ _______ _________.
_______ ________ ______ ___ ______ ______ ________ ________ _________ ___ _______.
___ ________ _________ ___ _______ _________ _______ __________.
_____ _______ ____ _____ ______ _______ _______ ___ _______.
____ ___ ______ _________ _____.
__________ _________ ____ _______ _____ ____ ____.
_________ ______ ________ ________ _____ __________ ___.
_____ _____ __________ ___ ________ ____ _______ ___ _________ ________ _______ __________.
______ _______ _______ _________ _________.
_________ _________ _____ ____ ______ ___ _______ _______ _____ ____ ____ ______.
__________ __________ _______ ______ ____ _________ ________ _______ _________.
__________ _____ _________ ________ ________ _______ __________ ______ ______ ____ ___.
______ ____ ___ __________ _______ ____ _______ _________.
____ ________ _____ ________ ______ _________ __________ _____ ____.
_________ ____ ___ _______ ___ _______ ____ __________ ___ ________ __________ _______.
___ ______ _____ _________ __________ ________ ________ _______ ______ _______ _____.
_____ ______ ______ ________ _____.
_______ _____ ______ ___ __________ ________ __________ _______ ______ ____ ___.
____ ________ ________ _________ _____ ______ _____.
_________ __________ ___ _________ __________ __________ ______ ____ _________ _____ __________.
_____ _____ _________ _________ ___ _________ ___ __________.
____ ______ _________ _______ ___ ____.
_______ __________ ________ _______ ________ _____ _________.
___ __________ ________ _______ _______ ____.
_________ ______ _________ _______ _______ _______ ________ ___.
_______ _______ _______ _________ __________ ____ ___ ___ __________ ___.
___ ________ _____ ___ ____ ________ _________ _______ _____ _______ __________.
_____ ________ _________ ___ ______.
_________ __________ ___ ____ _____ _______ __________.
__________ ______ _______ _________ ________ ___ _______ _______ _______ ____ ____ ______.
_____ _______ ________ ________ ______ ______ ________ _______ _____.
____ _______ ____ __________ ______ __________ ________ ____ ______ _________ ______.
_______ ____ ________ ___ __________ __________ ______ _______.
_____ ____ _________ ________ _______ ___ _______ __________.
_____ ______ _________ ______ _________ _____ _____.
_____ _____ _________ _______ ____ ___.
______ ____ _________ _______ _____.
_______ ________ _________ _____ ____.
____ _______ _____ _______ _____.
___ ______ ___ _______ _________ ___ _____.
_________ _______ _________ __________ _______ ______ ____ _________.
__________ _________ ____ ____ ________ _________ ____ _________ _____ ______ ___.
__________ _______ _________ _________ __________ _________ _______ _________ ________ __________ __________ _____.
___ _______ __________ ________ _____ _____ _________ ___ _____ __________.
__________ _______ __________ ________ ______ _________ _______ ________ ___.
_________ ____ _________ _______ ______ _______ ______ _______ ______ _____ ______ ________.
_________ _____ ______ __________ ________ __________ _________ __________.
_____ ____ _________ ________ _________ __________.
______ ________ _________ _________ ______ _____ __________ ______ ___ ___ __________.
___ ________ _______ ___ ___ ______ ____.
_____ _____ _______ ___ ______ ______ _____.
____ _______ _____ _________ ___ _______ ______ _________ _________ _____ _________ __________.
___ __________ _______ _______ ______ ______ ___.
______ _____ ___ __________ ________ ______ ______ _________ __________ ________ __________.
__________ _____ _______ ______ _______.
____ ______ _______ _______ ___ _________ _____ ______ ________.
_________ _________ ________ ____ __________ ___ _________ ________ _____.
_____ ________ ____ ______ _______ ___ _______ ___.
_____ __________ _________ _________ _____.
____ ___ ____ ________ ______ _______ __________ _________ ________.
_________ ______ _______ _________ ________.
_____ ____ ____ __________ _________ ___ ___.
________ _______ ___ ____ ______ ______ ___ _______ ______.
______ _________ ___ ______ ____ _____ _____ __________ ________.
_____ _____ _______ ____ ________ ____ _________.
____ ___ _____ _______ _________ __________ _________ __________.
_____ ________ ______ ____ ____ ___ _____.
_________ _________ ______ _______ _______.
_____ _________ __________ ___ ________ ________ ______ __________ _____ ______ ____ ___.
__________ ___ _________ ________ ___ ______ ________ ______ _________ _________.
________ ___ ________ ________ _______.
_________ ______ ________ __________ ___ ______ ______ ______ _______ ____ _____ ________.
_______ ____ ___ ________ ___ ___ ____ __________ ___ __________.
_________ _______ _________ _______ _____ ______ __________ _____.
______ ______ ________ ____ ____ _______ _________ ____ ___ _____ _________.
___ ___ ______ _______ _____ _______ _________.
__________ _______ __________ _________ _________ ________.
_____ _____ ____ __________ _____ _____.
_________ __________ _________ ___ ____ ______ _____ ___.
_____ ____ ________ ___ __________ _______ __________.
_____ ________ ___ _______ _____ ______ ____ _________ _____ ______ ________.
_________ ___ _____ _________ _____ _______ __________ ________ ______ __________.
____ ____ ______ _____ ______ _________ __________ _________.
______ ______ ________ _________ ______ _______ ______ __________ ___ _____.
_________ ____ ________ _____ __________ _____.
_________ ________ __________ _______ _________.
__________ _________ ____ _____ __________.
_________ ___ ___ ___ _______.
_________ _______ ____ _________ _________ ________ ________.
_______ ________ _________ __________ ___ _________ _______ ___ ______ _____ ____.
______ ______ _________ _____ _____.
______ ______ __________ ____ _____ _______ ____ ________ __________.
_________ __________ __________ ______ __________ ________.
__________ ______ ________ ____ _____ __________ ___.
________ ____ ________ ____ ____ ________ ______ ________ __________ _________.
___ _______ ________ ____ ________ ____ _______.
____ _____ ________ _______ ___.
___ ____ _________ _________ ___ _________ _____ ______ _____ _________ __________.
______ ____ __________ _________ _________ __________ _____ ____ _________ ____ _____ ________.
_________ ____ _______ ___ _______ _____ ________.
___ ___ __________ __________ _____ ____ _______ _________ _____ _____.
________ ________ _____ _____ _______ ______ _______ ______ _______ _______ _____ ____.
_______ ________ ______ _____ _________ _____ __________ ____ _____.
___ __________ __________ ________ ___ ______ ____ _________ _________.
___ ___ _____ ______.
Get Full Answer on WhatsApp