At the same time each day, a researcher records the temperature in each of three classrooms. The table shows the temperatures in degrees Fahrenheit recorded for one week. How are the analysis of variance results affected if the same constant is added to every one of the original sample
Values?
A) The test statistic is divided by the value of the constant.
B) The test statistic increases by a factor of the constant.
C) The test statistic increases by the value of the constant.
D) The results are not affected.

Question

At the same time each day, a researcher records the temperature in each of three classrooms. The table shows the temperatures in degrees Fahrenheit recorded for one week.  How are the analysis of variance results affected if the same constant is added to every one of the original sample
Values?
A) The test statistic is divided by the value of the constant. 
B) The test statistic increases by a factor of the constant. 
C) The test statistic increases by the value of the constant. 
D) The results are not affected.

Quizplus · Accepted Answer

Adding a constant to every value in the sample will not affect the variability within each group (classroom) or the variability between groups, therefore the results of the analysis of variance will not be affected.

At the Same Time Each Day, a Researcher Records the Temperature