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. $\begin{array}{c|c|c}
\text { Classroom \#1 } & \text { Classroom \#2 } & \text { Classroom \#3 } \
\hline 78 & 71 & 77 \
75 & 69 & 73 \
73 & 72 & 72 \
66 & 72 & 71 \
68 & 65 & 70 \
71 & 73 & 62 \
72 & 71 & 79
\end{array}$
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 increases by the value of the constant.
B)The test statistic increases by a factor of the constant.
C)The test statistic is divided 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. $\begin{array}{c|c|c}
\text { Classroom \#1 } & \text { Classroom \#2 } & \text { Classroom \#3 } \
\hline 78 & 71 & 77 \
75 & 69 & 73 \
73 & 72 & 72 \
66 & 72 & 71 \
68 & 65 & 70 \
71 & 73 & 62 \
72 & 71 & 79
\end{array}$
 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 increases by the value of the constant.
B)The test statistic increases by a factor of the constant.
C)The test statistic is divided by the value of the constant.
D)The results are not affected.

Quizplus · Accepted Answer

Adding a constant to every value in the dataset shifts all values but does not affect the variability within or between groups, which is what the analysis of variance (ANOVA) tests. Therefore, the test statistic and the results of the ANOVA are not affected by such a constant addition.

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