Asked by Subamalar Muniandy on Jun 02, 2024
Verified
The numerator or MST degrees of freedom are 3 and the denominator or MSE degrees of freedom are 18. The total number of observations in the completely randomized design must equal 20.
MST Degrees of Freedom
Represents the number of independent values or quantities which can be assigned to a statistical distribution minus the number of population parameters estimated simultaneously.
MSE Degrees of Freedom
The number of independent values or quantities that can vary in the calculation of the mean squared error (MSE).
- Familiarize yourself with the sum of squares, mean square, and F statistic fundamentals in ANOVA.
Verified Answer
SH
Shacongo HarrisJun 03, 2024
Final Answer :
False
Explanation :
In a completely randomized design, the total number of observations equals the sum of the degrees of freedom for MST (Mean Square Treatment) and MSE (Mean Square Error) plus 1. Given MST degrees of freedom are 3 and MSE degrees of freedom are 18, the total number of observations would be 3 + 18 + 1 = 22.
Learning Objectives
- Familiarize yourself with the sum of squares, mean square, and F statistic fundamentals in ANOVA.