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Module 6 Analysis of Variance ANOVA with 100- correct answers

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Module 6 Analysis of Variance ANOVA with 100- correct answers

Institution
Statistics Portage CNSL 503
Course
Statistics Portage CNSL 503









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Institution
Statistics Portage CNSL 503
Course
Statistics Portage CNSL 503

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Uploaded on
January 26, 2025
Number of pages
5
Written in
2024/2025
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Exam (elaborations)
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Module 6: Analysis of
Variance ANOVA with 100%
correct answers
ANOVA stands for - answer analysis of variance


ANOVA test is used for - answer comparing the mean if two or more, most
commonly three or more samples and looks for the differences between
and within each group.


In an ANOVA test, you are testing for the F variable, which equals - answer
Variance between samples / Variance within samples


The type of ANOVA used to analyze a dataset depends on the number of
independent variables, or ___ in a study - answer factors


Each factor has a number of ___, represented by the letter k - answer
levels


Which of the following items are needed in order to locate the critical
value for an ANOVA using the table?
a. Significance level

b. 𝑑𝑓𝑏𝑛

c. 𝑑𝑓𝑤𝑛

d. 𝑑𝑓𝑡𝑜𝑡𝑎𝑙 - answer a, b, c


Samples of theme park wait times are obtained and compared. Five major
theme parks are compared, and their mean wait times are recorded.
Identify the null hypothesis and alternative hypotheses for applying an
analysis of variance. - answer 𝐻0: All five theme parks have the same
mean wait times.

, 𝐻𝑎: At least one of the five theme parks has a mean wait time that is
different from the others.


What does an F-value below 1 indicate? What does an F-value above 1
mean? - answer A small F (F < 1) indicates that the variation within the
groups is greater than the variation between group means.


In contrast, a large F (F > 1) indicates that the variation between the
group means is greater than the variation within the groups.


The greater the value of F, the more likely it is that ___ - answer a true
difference exists between the group means.


The experiment wise error rate is - answer the likelihood of a Type I error
(false negative) being made at some point throughout an experiment


Why is an ANOVA test preferred over running multiple T-tests? - answer
Since multiple t-tests increases the experiment wise error rate, an ANOVA
is an appropriate test to run when comparing three or more means that
will not increase the error rate.


Using a one-way ANOVA, you assume this about the data: - answer
Population is normally distributed, samples have equal variances, and the
samples are independent.


The test used to determine whether a difference exists between 3 or more
means is __ - answer One-way ANOVA


State the null and alternative hypotheses for a one-way ANOVA - answer
H0: µ1=µ2=µ3... etc


Ha: AT least one of the means is different from the others


__ is used to measure effect size for an ANOVA? - answer eta²

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