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Chapter 16: One-Way Analysis of Variance

717

Another term encountered in the study of ANOVA is

experiment

. In a true

experiment, the researcher manipulates one or more independent variables in

order to determine the effect of one or more dependent variables. For

example, the researcher may want to determine the effect on the yield of a

certain crop for different fertilizers.

Definition: Experiment

An experiment is a study in which the researcher manipulates one or more

independent variables in order to determine the effect of one or more

dependent variables.

Note:

A careful statement of the problem to be solved goes a long way towards its

solution.

Example 16-4:

A researcher would like to determine whether there is a

difference in the average mileages for three different brands of gasoline.

What is the experiment in this case?

Solution:

The problem to be solved in this example is to determine whether

there are differences in the average mileage for the three different brands of

gasoline. The researcher will be using (“manipulating”) the three different

brands of gasoline in order to observe the effect on the gas mileage. Hence,

the

experiment

in this case will be the study designed to see how the brands

of gasoline affect gas mileage.

Example 16-5:

What is the experiment in

Example 16-1

?

Solution:

The problem to be solved in

Example 16-1

is to determine

whether there was a statistical significant difference between the average

number of credit hours in which the undergraduate students were enrolled

for the different classifications on that particular campus. The researcher

will be using (“manipulating”) the four different student classifications in

order to observe the effect on the number of credit hours in which the

students were enrolled. Hence, the

experiment

in this case will be the study