721 / 762
Chapter 16: One-WayAnalysisofVariance
721
SectionReview
In the next section,wewill discuss the hypotheses fora one-wayANOVA.
In addition, wewill discuss the assumptions related to the test.
16-4TheHypothesesandAssumptions forOne-WayANOVA
Supposewehave a single factorexperiment in which there are
k
levels.
Thuswewill besampling from
populations or treatments. Wewill select
an independent random sample fromeachof these
k
populations. Let the
size of the sample frompopulation
for
i
=1, 2, 3,…,
, be equal to
and
the total sample size is
∑
.
Figure 16-6
shows the
populations fromwhich the independent samples
are selected. Observe that eachpopulation has its ownmean and the
respective samplemeans are computed for the samples. Also, indicated in
the figure are the respective sample sizes.
Figure 16-6:
Displayof the
k
Populations fromwhich
samplesare obtained
e-Self Review