Explain why the F-ratio is expected to be near 1.00 the null hypothesis is true.
To explain: The reason for the F-ratio being nearby 1 when the null hypothesis is true.
Answer to Problem 1P
When the treatment effect is null, then numerator and denominator in F ratio will have the same source of variability. In such cases, F ratio gets balanced and takes a value near to 1.
Explanation of Solution
The null hypothesis in ANOVA is: There is no treatment effect.
The F ratio is given as:
When null hypothesis is true which means treatment effects are null or not significant, then F ratio is:
When the treatment effect is null, then numerator and denominator in F ratio will have the same source of variability. Since, F ratio will be 1.
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EBK ESSENTIALS OF STATISTICS FOR THE BE
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill