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 be-
tween samples / Variance within samples
The type of ANOVA used to analyze a dataset depends on the number of independent varia-
bles, 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 alterna-
tive hypotheses for applying an analysis of variance. - ANSWER 𝐻0: All five theme parks
have the same mean wait times.
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, 𝐻𝑎: At least one of the five theme parks has a mean wait time that is different from the oth-
ers.
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 nega-
tive) 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 nor-
mally 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 __ - AN-
SWER 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
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