Conduct a One-Way ANOVA using SAS. Create a summary report of their analysis and create an informative graphic that is included in a business memorandum that provides a recommendation based on their analysis of the dataset.
ANOVA Interpretation
p-value is a number between 0 and 1 and interpreted in the following
way:
• A small p-value (typically ≤ 0.05) indicates strong evidence against
the null hypothesis being true, so the difference between the means
is statistically significant, so you Reject the null hypothesis and
accept the alternative hypothesis Ha that the means of the different
groups are Not Equal.
• A large p-value (> 0.05) indicates weak evidence against the null
hypothesis, so the difference between the means is Not statistically
significantly different so you Accept the null hypothesis Ho that the
means of the different groups are Equal.
Always report and discuss the p-value and what it is saying so your
readers can better understand.
Note: An example P Value of 5.1636E-07 is a very small number - much less than
.05. The E-07 is scientific notation which means that you move the decimal place
to the left by 7 places, in other words, the 5.1636 would be .00000051636 which
is much less than .05 so the difference between the means is significant and you
accept the alternative hypothesis Ha is the valid answer.
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F Value (degree of variance)
A low F-value shows a case where the group means are close together
(low variability) relative to the variability within each group. A high F-
value graph shows a case where the variability of the group means is
large relative to the within group variability.