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Simple Analysis of Variance

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Simple Analysis of Variance

ERM 681 MIDTERM EXAM I Fall 2017

PART I

Select the BEST answer. Enter your answers in CANVAS “Midterm Section I” under Quizz Each answer is worth 1 point. You will have only one attempt to enter your answer in Canvas.

Chapter 11 Simple Analysis of Variance

Which of the following is most accurate?

When H

_{0}is true, MS_{Treat }underestimates the population variance.When H

_{0}is true, MS_{Error }underestimates the population variance.When H

_{0}is false, MS_{Treat}underestimates the population variance.When H

_{0}is false, MS_{Error }overestimates the population variance.

What does a failure to reject the null hypothesis imply in a one-factor ANOVA?

There is no difference in any pair of means selected from the k population means.

The k population means are equal to a specified population mean.

Each population mean differs significantly from every other population mean.

Some subset of population means significantly differs from some other subset of population means.

What happens to the critical F value if you keep the number of treatments constant and alpha constant, but the overall sample size decreases?

The critical F value will decrease.

The critical F value will stay the same.

The critical F value will increase.

There is not enough information to answer this question.

For a set of 12 test scores, s = 10. Six of the twelve were girls, and for the girls s = 8. For the six boys, s = 6. What was the sum of squares for the total group of 12?

480

1000

1100

1200

none of the above

Which of the following is an assumption in one-way ANOVA?

The design does not always have to be balanced.

The group(s) with the larger variance(s) also have larger n’s

The population variances are the same for each group.

The sample variances are the same for each group.

Use the following incomplete ANOVA summary table to answer the next four questions. You must find the missing values in order to answer the questions.

Source SS df MS F Treatment 140.10 3 46.70 6.42 Error 116.32 16 7.27 Total 256.42 19

What is the expected experimental error variance that can be attributed to the treatment groups (assume a balanced design) under the null hypothesis?

6.12

6.42

7.27

13.50

46.70

If Ho is true, which significance level is likely to produce the most Type I error when testing the F statistic

.01

.025

.05

.50

What can you determine about the treatment groups?

There is no significant difference between these groups.

Each group is significantly different from every other group.

At least two groups are significantly different from one other group.

More than two groups are significantly different from one another.

How many treatment groups are in this study?

3

4

12

16

Stop Using ANOVA Summary Table.

If we know that the null hypothesis is true for a one-factor ANOVA and if the sample size of each treatment group is increased, what is the effect on the probability of achieving statistical significance at the specified alpha level? It is

increased.

decreased.

the same.

Impossible to determine because more information is needed.

What does the alternate hypothesis for one-factor analysis of variance address?

Difference in population means

Difference in population mean squares

Difference in population variances

Difference in population sum of squares

Chapter 12: Multiple Comparisons Among Treatment Means

A researcher carried out all possible pairwise comparisons on four group means and for each test set α to .05. What would be the correct family-wise Type I error rate in this case?

.050

.185

.200

.265

Which of the following is always true of a priori orthogonal contrasts?

The decision to make the contrasts is made before data are collected.

Comparisons are always made using a t-test.

A Bonferroni, or similar familywise error rate correction, should be made.

Comparisons are decided upon after initial data analysis is completed.

Which of the following set of contrast coefficients would be used to compare the average of treatments 1 and 6 with the average of treatments 2 and 4 if there were six means in all?

-1 1 0 -1 0 1

-1 1 0 1 0 -1

-1/2 1/2 0 1/2 0 -1/2

1/2 -1/2 0 1/2 0 -1/2

Which of the following post hoc tests could possibly yield the largest number of significant mean differences?

Bonferroni

Neuman-Keuls

Scheffe

Tukey

CHAPTER 13: Factorial ANOVA

For next 4 problems, use the following ANOVA table in which α = .01.

Source df MS F F _{CRIT}Ethnicity (A) 2 45 Guilty (B) 70 AxB 17 Error 60 10 Total 65

For which source is the null hypothesis rejected at the .01 level of significance?

Ethnicity (A)

Anxiety (B)

A x B

None of the above

All of the above

How many cells were there in the above design?

1

2

3

6

What is the total number of subjects in the design?

60

64

65

66

In the ANOVA summary table SS

_{A x B }would equal?17

34

51

102

STOP USING TABLE

In ANOVA, the interaction of two variables is certainly present when

- a) the two variables are positively correlated.
- b) the two variables are negatively correlated.
- c) the row effects are NOT consistent across the columns.
- d) the main effects do NOT account for all of the total observed score variance.

- When analyzing mean differences among more than two samples, doing independent t tests on all possible means
- a) decreases the probability of a Type I error
- b) does not change the probability of a Type I error
- c) increases the probability of a Type I error
- d) cannot be determined from the information provided

RUBRIC

QUALITY OF RESPONSENO RESPONSEPOOR / UNSATISFACTORYSATISFACTORYGOODEXCELLENTC ontent (worth a maximum of 50% of the total points)Zero points: Student failed to submit the final paper.20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking.30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking.40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete.50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing.Use of Sources (worth a maximum of 20% of the total points).Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper.5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6^{th}Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper.10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6^{th}Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources.15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6^{th}Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources.20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6^{th}Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment.Grammar (worth maximum of 20% of total points)Zero points: Student failed to submit the final paper.5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage.20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free.Structure of the Paper (worth 10% of total points)Zero points: Student failed to submit the final paper.3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6^{th}edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6^{th}edition requirements whatsoever.5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6^{th}edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment.10 points: Student provides a high-caliber, formatted paper. This includes an APA 6^{th}edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.## GET THIS PROJECT NOW BY CLICKING ON THIS LINK TO PLACE THE ORDER

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