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Exam 11: Hypothesis Testing Using the One-Way Analysis of Variance

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Question 1

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Below is a partially completed ANOVA summary table.What would be the value of F-obtained? $\begin{array}{|l|l|l|l|l|}\hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } & F \\\hline \text { Between } & 73.18 & 3 & & \\\hline \text { Within } & 82.04 & 15 & & \\\hline \text { Total } & & 18 & & \\\hline\end{array}$

A) 4.46
B) 5.47
C) 24.39
D) 155.22

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Question 2

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Post hoc comparisons are used in one-way ANOVA to compare all the possible

A) pairs of sample variances from different levels of a factor to determine which are significantly different from each other.
B) pairs of sample means from different levels of a factor to determine which are significantly different from each other.
C) variances to each other.
D) pairs of sample means from different factors to determine whether they are significantly different from each other.

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Question 3

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The experiment-wise error rate pertains to the probability of making a ________error when comparing ________of the means in an experiment.

Suppose you perform an ANOVA on 18 subjects divided evenly into three groups according to age.Reading speed is measured and averaged for each of the three groups.The reading speed for the Young Group is 10; for the Middle Group, 12; and for the Older Group, 13.Your $F_{o b t}$ is 9.15.Use $\alpha$ = .05 a.What are your degrees of freedom? b.What is the appropriate $F_{c r i t}$ ? c.What should you conclude?

Analysis of variance is designed to compare ________simultaneously.

For Joan's doctoral dissertation experiment, 15 wheelchair users were assigned to three groups with 5 in each group.These participants navigated in virtual-reality settings.Group 1 participants were in the virtual-reality setting a building) as wheelchair users.Group 2 participants were in the virtual-reality setting in a wheelchair pushed by a walking person.Group 3 participants walked without aid in the virtual-reality setting.Joan measured the number the time needed to complete the navigation of the virtual-reality setting. a.What is the dependent variable? b.What is the independent variables? c.How many levels are there? d.What is the N?

Dr.Thompson has completed an experiment where he noted subject reactions to either viewing a funny movie n = 45), a serious movie n = 42), or no movie at all n = 47).State the degrees of freedom between, within, and total.

The independent variable matches which of the following ANOVA terms?

What is the mean of an F-distribution?

A study of the effect of IQ on musical ability involved three levels of IQ-below average, average, and above average.A total of 36 participants were involved.Of the 36 participants, 8 were determined to have below average intelligence, 18 were of average intelligence, and 10 were of above average intelligence. a.What is $d f_{t o t al}$ ? b.What is $d f_{b n}$ ? c What is $d f_{wn}$ ?

Corey is researching the effect of memory-enhancing, memory-impairing, and memory-neutral drugs on the ability of rats to run a maze.He has a total of 45 rats available for his study.He assigns an equal number of rats to each treatment condition.If he calculates his $\Sigma X_{t o t}^{2}$ = 60, $\left(\sum X_{t o t}\right)$ = 40, and $\sum\left(\frac{\left(\sum X \text { in column }\right)^{2}}{n \text { in column }}\right)$ = 45. a.What is N? b.What is n? c.What is $S S_{tot}$ ? d.What is $S S_{bn}$ ? e.What is $S S_{wn}$ ?

Post hoc comparisons are used

Analysis of variance is the most common inferential statistical procedure used to analyze experiments because

To find eta squared, we must calculate

The ________ is defined as the probability of making a Type I error when comparing all pairs of means in an experiment.

Research into the social behavior of senior citizens living in different settings has resulted in the following data.Within each residential setting type, 6 seniors were studied to see how many days each week they left their home. $\begin{array}{|l|l|l|}\hline \text { Own Home } & \begin{array}{l}\text { Retirement } \\\text { Community }\end{array} & \begin{array}{l}\text { Assisted-Living } \\\text { Apartment }\end{array} \\\hline 2 & 3 & 6 \\\hline 5 & 3 & 6 \\\hline 1 & 4 & 5 \\\hline 0 & 5 & 6 \\\hline 1 & 3 & 5 \\\hline 3 & 5 & 4 \\\hline\end{array}$ a.Complete the following source table: $\begin{array}{l|l|l|l|l}\hline \text { Source } & \text { Sum of Square } & \text { df } & \text { Mean Square } & F \\\hline \text { Between groups } & & & & \\\hline \text { Within groups } & & & & \\\hline \text { Total } & & & & \\\hline\end{array}$ b.Use $\alpha$ = .05.What is the $F_{c r i t}$ ? c.What should you conclude?

Professor Johnston conducted an experiment where subjects either drank 5, 3, or 0 cups of coffee and then measured their alertness.The first two conditions had 55 subjects but the control condition had 51 subjects.Professor Johnston obtained a significant ANOVA.Is he now justified in using a Tukey's HSD test?

Which of the following is one of the requirements for using a one-way, between-subjects ANOVA?

Suppose you're reading a result in a journal article that reports, F3, 13) = 4.19, p <.05.What do each of these values mean?

Which of the following is not true of the analysis of variance?