Asked by Matthew Petersen on Jul 22, 2024
Verified
When the amount of variability due to within-group differences is equal to the amount of variability due to between-group differences,the F value is equal to ______.
A) 0
B) 1
C) -1
D) 2
Variability
How much scores differ from one another or, put another way, the amount of spread or dispersion in a set of scores.
Within-group Differences
Variability or disparities found within a single group's members rather than between different groups.
Between-group Differences
Refers to variations or discrepancies in characteristics or outcomes between distinct groups in a study.
- Understand the fundamental principles and calculations involved in Analysis of Variance (ANOVA).
Verified Answer
NM
Nathan MillerJul 26, 2024
Final Answer :
B
Explanation :
When the amount of variability due to within-group differences is equal to the amount of variability due to between-group differences, the F value is equal to 1. This is because the F ratio is calculated by dividing the variability between groups by the variability within groups, and when there is no difference between the groups, the numerator and denominator are equal, resulting in an F value of 1.
Learning Objectives
- Understand the fundamental principles and calculations involved in Analysis of Variance (ANOVA).