Asked by Clareese Stenzel on Apr 25, 2024
Verified
When an analysis of variance is performed on samples drawn from k populations, the mean square due to treatments (MSTR) is
A) SSTR/nT.
B) SSTR/(nT - 1) .
C) SSTR/k.
D) SSTR/(k - 1) .
Mean Square
The average of the squares of the differences between observed values and the values predicted by a model.
Treatments
Different levels of a factor.
SSTR
Sum of Squares due to Treatment, representing the variation attributable to the treatment or intervention in an ANOVA test.
- Determine the F ratio in ANOVA and apprehend its relevance.
Verified Answer
SG
Samantha Ghering4 days ago
Final Answer :
D
Explanation :
The mean square due to treatments (MSTR) is calculated by dividing the sum of squares due to treatments (SSTR) by the degrees of freedom for treatments, which is k-1. Therefore, the formula for MSTR is SSTR/(k-1). Choice D provides this formula.
Learning Objectives
- Determine the F ratio in ANOVA and apprehend its relevance.