Asked by Mariya&Eliza George on Jun 25, 2024
Verified
In one-way ANOVA,the amount of total variation that is unexplained is measured by the:
A) sum of squares for treatments.
B) degrees of freedom.
C) total sum of squares.
D) sum of squares for error.
Total Variation
Refers to the overall difference between individual values and the mean within a dataset, capturing the spread.
Sum Squares Error (SSE)
The total deviation of the observed values from the values predicted by a model, squared and summed up.
- Differentiate between the variance found within treatments and the variance observed between treatments in ANOVA analysis.
Verified Answer
SC
Shaylah CampbellJun 29, 2024
Final Answer :
D
Explanation :
The amount of total variation that is unexplained is measured by the sum of squares for error. The sum of squares for treatments measures the amount of variation explained by the different treatments, degrees of freedom is a measure of the number of values that are free to vary in a statistical calculation, and total sum of squares is the sum of the squared deviations of each value from the overall mean.
Learning Objectives
- Differentiate between the variance found within treatments and the variance observed between treatments in ANOVA analysis.
Related questions
The Within-Treatments Variation Provides a Measure of the Amount of ...
SSE Measures the Variation ____________________ Treatments
If the MS between Is Higher Than Your MS within ,the F Value ...
If the MS between Is Lower Than Your MS within ,the F Value ...
What Is the Impact on the F Value When the ...