Asked by Connor Saunders on May 16, 2024
Verified
The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.
Sum of Squares for Treatments
A statistical calculation that measures the total variation attributable to different treatments or groups in an experiment.
Sample Means
The average value of a set of data samples taken from a larger population.
- Attain insight into the principles of sum of squares, mean square, and F statistic in ANOVA analysis.
Verified Answer
SN
Sarin NaritaMay 21, 2024
Final Answer :
True
Explanation :
This is true by definition. SST represents the variation attributable to differences between treatment means, so if all the treatment means are equal, there will be no variation and SST will be zero.
Learning Objectives
- Attain insight into the principles of sum of squares, mean square, and F statistic in ANOVA analysis.