Question
In: Statistics and Probability
1. Data for three independent random samples, each of size 4, are analyzed by a one-way...
1. Data for three independent random samples, each of size 4, are analyzed by a one-way ANOVA fixed-effects model. If the values of the sample means are all equal, what is the value of MSbetween? ______________.
2. In a one factor-ANOVA , Ho asserts that
a. All the population means are equal
b. The between groups variance estimate and the within-groups variance estimate are both estimates of the same population residual variance
c. The within-groups sum of squares is equal to the between-groups sum of squares.
d. Both a and b
Solutions
Expert Solution
1. 
, for "k" number of groups, where 
is the
sample mean of "i"th random sample and 
is the
overall mean.
If the sample means are all equal, then they are consequently equal
to the overall mean. Hence, MSbetween will become
zero.
2. H0 asserts that all the population means are
equal in a one factor ANOVA and also asserts that the between
groups variance estimate and the within-groups variance estimate
are both estimates of the same population residual variance.
Hence, Option D is correct.
orchestra answered 2 years agoRelated Solutions
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