A .Which of the following is an appropriate null hypothesis for an analysis of v
ID: 3260331 • Letter: A
Question
A .Which of the following is an appropriate null hypothesis for an analysis of variance
u1 = u2 =/= u3
u1 = u2 = u3
At least two means are the same
sigma1 = sigma2 = sigma3
B. Which of the following is an appropriate alternative hypothesis for an analysis of variance
All of the means are different
u1 =/= u2 =/= u3
At least two means are the same
At least two means are different
C. Which of the following is not a post hoc test.
Tukey
Endocott
Bonferroni
LSD
D. Which of the following properties of the ANOVA (F) Distribution is true
The F statistic is left skewed and always positive
The F statistic is right skewed and always positive
The F statistic is normally distributed and always positive.
None of the above
E. Which of the following are assumptions associated with Analysis of Variance.
Check all that are true!
homoscedasticity
Equal Variances
Approximately Normally Distributed population
Random and Independent Samples
F. Post hoc tests are performed in the following circumstances
If there is a large difference between the means of three groups
If there is a large difference in the variability of three groups
If the F test for ANOVA exceeds the critical value of F for the assigned alpha
All of the above
u1 =/= u2 =/= u3
Explanation / Answer
Solution:-
A) Appropriate null hypothesis for an analysis of variance is u1 = u2 = u3.
B) At least two means are different.
C) This is not post hoc test "Endocott".
D)
The F statistic is normally distributed and always positive.
E)
Equal Variances
Approximately Normally Distributed population
Random and Independent Samples
F) All of the above
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