Asked by Sarah Radwan on Jul 25, 2024
Verified
Arnold compares the means of three groups and calculates a value of -2.01 for the F-ratio. This implies ______.
A) the mean of the first group is the highest of the three groups
B) the mean of the third group is the highest of the three groups
C) the differences between the means are statistically significant
D) he has made an error in his calculations
F-ratio
A statistical measure used primarily in analysis of variance (ANOVA), calculated by dividing the variance between group means by the variance within the groups.
Error
The difference between a measured or inferred value of a quantity and its actual value.
- Understand how to interpret the outcome of ANOVA tests, including the significance of calculated F-ratio values.
Verified Answer
CA
Cynthia AdomakowaaJul 29, 2024
Final Answer :
D
Explanation :
The F-ratio in ANOVA (Analysis of Variance) tests cannot be negative because it is based on variance, which is squared and therefore always positive. A negative F-ratio indicates a calculation error.
Learning Objectives
- Understand how to interpret the outcome of ANOVA tests, including the significance of calculated F-ratio values.