to use one-way anova, it is assumed that k independent random samples are drawn from k specific population where each of the k populations: 1. is normally distributed with the same mean and same standard deviation  2. Is normally distributed with the same standard devation  3. Is normally distributed with the same mean 4. Follows an F-distribution with constant variance

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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to use one-way anova, it is assumed that k independent random samples are drawn from k specific population where each of the k populations:

1. is normally distributed with the same mean and same standard deviation 

2. Is normally distributed with the same standard devation 

3. Is normally distributed with the same mean

4. Follows an F-distribution with constant variance 

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,