Asked by Anne Marie Kratz on Jul 14, 2024
Verified
An ANOVA procedure is used for data obtained from five populations.Five samples, each comprised of 25 observations, were taken from the five populations.The numerator and denominator (respectively) degrees of freedom for the critical value of F are
A) 5 and 25.
B) 4 and 25.
C) 4 and 124.
D) 4 and 120.
Degrees of Freedom
The number of independent values or quantities which can be assigned to a statistical distribution, used to estimate a population parameter.
Critical Value
A point on a statistical distribution that is compared with the test statistic to determine whether to reject the null hypothesis.
- Acquire knowledge on the notion of degrees of freedom as it applies to ANOVA.
Verified Answer
QG
Quida GloverJul 15, 2024
Final Answer :
D
Explanation :
The degrees of freedom for the numerator (between groups) is calculated as the number of groups minus one, which is 5 - 1 = 4. The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of groups, which is (5*25) - 5 = 125 - 5 = 120.
Learning Objectives
- Acquire knowledge on the notion of degrees of freedom as it applies to ANOVA.
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