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

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

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C

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

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D

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?

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In F3, 13) = 4.19, p <.05, this is a significant result as denoted by p <.05.The degrees of freedom between and within are 3 and 13, respectively; the F-obtained value is 4.19.

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 FobtF_{o b t} is 9.15.Use α\alpha = .05 a.What are your degrees of freedom? b.What is the appropriate FcritF_{c r i t} ? c.What should you conclude?

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Post hoc comparisons are used

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

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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?

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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?

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Below is a partially completed ANOVA summary table.What would be the value of F-obtained? Source Sum of Squares df Mean Square F Between 73.18 3 Within 82.04 15 Total 18

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What is the mean of an F-distribution?

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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 ΣXtot2\Sigma X_{t o t}^{2} = 60, (Xtot)\left(\sum X_{t o t}\right) = 40, and ((X in column )2n in column )\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 SStotS S_{tot} ? d.What is SSbnS S_{bn} ? e.What is SSwnS S_{wn} ?

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Analysis of variance is designed to compare ________simultaneously.

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To find eta squared, we must calculate

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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.

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

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

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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. Own Home Retirement Community Assisted-Living Apartment 2 3 6 5 3 6 1 4 5 0 5 6 1 3 5 3 5 4 a.Complete the following source table: Source Sum of Square df Mean Square F Between groups Within groups Total b.Use α\alpha = .05.What is the FcritF_{c r i t} ? c.What should you conclude?

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The independent variable matches which of the following ANOVA terms?

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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 dftotald f_{t o t al} ? b.What is dfbnd f_{b n} ? c What is dfwnd f_{wn} ?

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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.

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