Statistics work

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NOT SUBMIT COMPLETE SPSS PRINTOUTS. REPORT ONLY RELEVANT RESULTS

F

ROM SPSS ANALYSES. Answer all questions sequentially, completely, intelligibly, and legibly. No credit will be given for answers that are not supported by clear and specific statistical evidence.

1

. In a study to compare the effectiveness of treatments for ADHD in children,

4

0 children diagnosed with ADHD were randomly assigned to one of four conditions: (1) nutritional intervention without drugs (

NI

); (

2

) behavioral intervention without drugs (

BI

); nutritional intervention and a prescription drug (DM-D); behavioral intervention and a prescription drug (

BI-D

). At the end of three months, participants’ hyperactivity and attention levels were measured. Participants’ scores on the attention measure are given below. Higher scores indicate higher (better) attention levels. I have put the data into an SPSS file in the Assignments folder on HuskyCT.

NI	BI	NI-D	BI-D
1 7 1 3 18 1 9 23 1 6 17 20 23 21	16 1 5 1 2 1 8 17 18 13 17 16 1 5	17 2 1 20 1 9 16 17 15 12 16 18	19 25 22 21 19 21 23 16 20 19

(a) Which of the following statistical analyses could be used to analyze the data? Circle your answer for each. (1 point)

One-way ANOVA:
YES
NO

Two-way ANOVA:
YES
NO

Repeated Measures:
YES
NO

(b) Test the assumption of homogeneity of variances and state your conclusion, indicating how you reached it. Report the relevant statistic and p-value. (1 point)

(c) The researchers wanted to answer the following questions:

1. Does the use of a prescription drug increase mean attention levels in ADHD children, averaging over other interventions?

2. Is a nutritional intervention more effective than a behavioral intervention in increasing mean attention levels, averaging over drug conditions?

3. Does the addition of a prescription drug to a nutritional intervention have the same effect on mean attention levels as the addition of the drug to a behavioral intervention?

Carry out an appropriate analysis in SPSS and answer these questions. (3 points) Report your ANOVA table and any other results you need to obtain your answer. Indicate clearly and specifically what evidence you used to answer each question (3 points). If you report significance levels, report the test statistics on which they are based.

(d) Construct all pairwise contrasts using a Tukey procedure and report only those that are statistically significant at the .05 level (you do not have to do these by hand!). State what the contrast is, and report the estimate, standard error used in constructing the CI, and the 95% confidence interval. State clearly what conclusion you would draw based on the results. (5 points)

2.
In a study to compare language development in hearing-impaired (HI) and hearing-normal (HN) children, a researcher obtained data on a sample of 20 HI and 20 HN children. There were five children at each of four age levels 12 months apart in each group. Their scores on a language development test are given below:

2

3
1
2
5

11

Age Level 1	Age Level 2	Age Level 3	Age Level 4
Hearing Impaired	2 2 3	1		4	3 7 5 4	6	12 9 8	10
Hearing Normal	2 3 4 4 3	7 10 7 8 9	10 12 13 9 11	12 11 13 14 10

(a)
Construct a plot of the means and describe the pattern of change across age levels in the two groups (1 point).

(b) Based on the plot, what hypothesis is of primary interest? (1 point). Carry out the appropriate SPSS analysis, report the ANOVA table, and draw a conclusion, indicating what statistics you used in obtaining your answer (2 points).

(c) Report the results of all remaining statistical tests in the ANOVA table, indicating what hypothesis was tested and what conclusion you would draw (indicate which statistics you used). (2 points).

(c)
The researcher wants to determine if the average growth from Age Level 2 to 3 is the same as the average growth from Age level 3 to 4 for the hearing impaired children.

State this hypothesis as a contrast of the cell means (1 point).
Report the estimate, standard error, Scheffe critical value, and 95% Scheffe confidence interval (2 points). Draw a specific and complete conclusion based on your results. (1 point)

3.
An experiment was conducted to compare the effectiveness of five treatments. Subjects were matched with respect to a relevant variable and assigned randomly to the treatments. Seven sets of matched subjects, i.e., blocks, with five subjects in each matched set were obtained. The subjects in each set were assigned randomly to the treatments. After a given period, scores on an outcome measure were obtained. The ANOVA table is given below.

Dependent Variable: score

10

1

2036.829

4

6

Source	Type III Sum of Squares	df	Mean Square	F	Sig.
Corrected Model	93.5 43 (a)	9. 35 4	3.271	.008
Intercept		2036.829	712.296	.000
Treat	38.171	9.543	3.337	.026
Block	55.371	9.229	3.227	.018
Error	68.629	24	2.860
Total	2199.000	35
Corrected Total	162.171	34

a R Squared = .577 (Adjusted R Squared = .400)

(a) What type of design was used in this analysis? (1 point)

(b)
State the hypothesis of interest. Using the results shown above, state your conclusions. (2 points)

(c)
Reconstruct the ANOVA table as if you had ignored the matching variable, i.e., Block, and carried out a one-way ANOVA. (2 points)

(d) Based on your table in (b), what would you conclude about the relative effectiveness of the treatments? Explain. (1 point)

(e) Given your findings in (b) and (c), was matching effective? Explain. (1 point)

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4.
In a study to compare the effects on physical performance of different types of food consumed prior to exercise, an experimenter measured the oxygen consumption of 6 volunteers during a prescribed exercise period on four different days an hour after consuming a given number of calories from different food types: (1) equal carbohydrates and fat; (2) equal carbohydrates and protein; (3) equal protein and fat; (4) equal carbohydrates, protein, and fat. Each volunteer’s oxygen consumption was measured under each condition, with the order of the conditions randomized across individuals. The oxygen consumption of the participants are shown below (higher values indicate better performance):

Participant	Oxygen consumption
Carbs/fat	Carbs/protein	Protein/fat	Carbs/protein/fat
1 2 3 4 5 6	37 48 40 36 45 52	55 60 55 45 55 42	48 57 53 35 50 35	65 52 55 59 66 43

(a) Which of the following statistical procedures is appropriate for these data? Circle your answer for each. (1 point)

One-way ANOVA:
YES
NO

Two-way ANOVA:
YES
NO

Repeated Measures:
YES
NO

Randomized Blocks:
YES
NO

(b) State the hypothesis of interest (1 point). Test the hypothesis and report the ANOVA table (2 points). State your conclusion IN THE CONTEXT OF THE STUDY, indicating what values you used to reach your conclusion. (1 point).

Architectural Engineering

Polytechnic State University

California

NO

Institute of Technology

Illinois

.5

80

University of Science and Technology

Missouri

NO

State University

Kansas

79 NO

School of Engineering

Milwaukee

6.5 79 NO

Pennsylvania 6.5 80 NO

A&M University

Texas 6.5 79 NO

State University

Oklahoma

NO

–

Lincoln Nebraska 6.0

NO Conditional Admissions

Kansas 6.5 NO NO IELTS if you take English placement exam

Oklahoma 6.5 79 NO

Conditional Admission

Austin Texas 6.5 79 YES

Omaha Nebraska 5.5 61 NO

Wyoming 6.0 NO

Miami

6.0 80 NO

University

City

State

IELTS

TOEFL

SAT

Notes

California

San Luis Obispo

7.0

80

NO

Drexel University

Philadelphia

Pennsylvania

Illinois

Chicago

6

YES

Missouri

Rolla

79

Kansas

Manhattan

6.5

NO IELTS if you take English placement exam

Milwaukee

Wisconsin

Conditional Admissions

Pennsylvania State University-University Park

State College

Texas

Kingsville

Oklahoma

Stillwater

6.0

61

University of

Nebraska

Lincoln

70

University of Kansas

Lawrence

University of Oklahoma

Norman

IELTS

5.5

University of Texas –

Austin

University of Nebraska-

Omaha

IELTS 6.0 for Engineering *

University of

Wyoming

Laramie

IELTS 6.5 for Engineering *

University of

Miami

Florida

Petroleum Engineering

University City State IELTS TOEFL SAT Notes

School of Mines

Colorado 6.5 79 NO

State University

Louisiana 6.5 79 NO

College

Marietta

5.5

NO

Rolla Missouri 79 NO

YES

Institute of Mining and Technology

New Mexico

NO

State College Pennsylvania 6.5 80 NO

Texas 80 YES

Texas 6.5 79 NO

Houston Texas 6.5 79 NO

University of Kansas Lawrence Kansas 6.5 NO NO IELTS if you take English placement exam
University of Oklahoma Norman Oklahoma 6.5 79 NO

Austin Texas 6.5 79 YES

Tulsa Oklahoma

61 NO

Laramie Wyoming 6.0 NO IELTS 6.5 for Engineering *

University

West Virginia

61 NO

								Colorado	Golden
	Louisiana	Batan Rouge	Conditional admission available
	Marietta			Ohio	(550)
Missouri University of Science and Technology
Montana Tech				71
		New Mexico	Socorro	76
Pennsylvania State University -University Park
Texas A&M University	College Station
Texas Tech University	Lubbock
University of	Houston
IELTS 5.5 Conditional Admission	University of Texas – Austin
University of	Tulsa		5.0
University of Wyoming
			West	Virginia	Morgan Town				6.0*

Environmental Engineering

University City State IELTS TOEFL

State University

Arizona 6.0 61

Conditional Admissions

Arizona 6.0 70 5/1/13 10/1/2013*

Boulder Colorado 6.5

5/1/13 10/1/2013*

Colorado

5/1/13 10/1/2013*

University of Kansas Lawrence Kansas

Arizona 6.0 70

Florida 6.5 79

West Virginia 6.0*

Drexel University Philadelphia Pennsylvania

Miami Florida 6.0 80

Fall 2013 Deadline

Spring 2014 Deadline

Arizona

Tempe

5/1/13

10/1/2013*

University of Arizona

Tuscan

University of Colorado-

Boulder

83

Colorado State University

Fort Collins

6.5/6.0

79/71

IELTS 5.0 Cond. Admis.

Northern Arizona University

Flagstaff

Florida Gulf Coast University

Fort Myers

West Virginia University

Morgantown

6.1

University of Miami

6/1/13

10/1/13

SAT ACT

University City State IELTS TOEFL Fall 2013 Deadline Spring 2014 Deadline

Colorado State University Fort Collins Colorado

79/71 5/1/13

Boulder Colorado 6.5 83

10/1/13

Denver Colorado

80

Tempe Arizona

61 5/1/13 10/1/2013 *

University of Arizona Tuscan Arizona 6.0 70 5/1/13 10/1/2013 *

Northern Arizona University Flagstaff Arizona 6.0* 70

Oregon

80 6/1/13

State University

Portland Oregon 6.0 71

-Environmental

Portland Oregon 6.5 71 6/1/13

Colarado
6.5/6.0 (5.0 CA)			10/1/2013 *	Environmental -Electrical -Civil-Computer-Mechanical-Chemical
	University of Colorado-Boulder		5/2/13	Chemical-Electrical-Environmental-Civil-Computer-Mechanical-Architectural
University of	Denver	6.5(CA)	Computer-Electrical-Mechanical
Arizona
	Arizona State University	6.0 CA	Industrial -Chemical-Environmental-Civil-Computer-Electrical-Mechanical
Electrical-Chemical-Industrial-Civil-Mechanical-Computer
Electrical-Chemical-Mechanical-Environmental
			Oregon
Oregon State University	Corvallis	6.5/5.5 CA	9/1/2013 Winter 11/1/2013 Spring	Chemical-Electrical-Computer-Environmental-Industrial-Civil
		Portland	3/1/13	11/1/2013 Winter 2/1/2014 Spring		Mechanical-Electrical-Civil-Computer
University of Portland	11/15/13	Mechanical-Civil-Electrical

Peace and Conflict Resolution

University City State IELTS TOEFL SAT Notes

State University

San Diego California 6.5 80 NO

Pennsylvania YES

6.5 80 NO

Chicago Illinois 6.5 80 NO Conditional Admissions

College

Earlham

NO

6.5 80 NO

New York YES

Massachusetts YES

Berkeley California YES

Columbia Missouri 6.5 61 NO

San Francisco California 6 79 NO

6.5 80 NO

NO

College

Wellesley Massachusetts YES

			San Diego
Bryn Mawr College	Bryn Mawr (phill)
Clark University	Worcester			Massachusetts
Colgate University	Hamilton		New York	100
DePaul University
	Earlham	Indiana
Guilford College	Greensboro	North Carolina
Manhattan College	Riverdale (NYC)
Tufts University	Boston
University of California-	Berkeley
Univarsity of Missouri –	Columbia
University of	San Francisco	Cond. Admission IELTS 5.5
University of Saint Thomas	Saint Paul	Minnesota
Wayne State University	Detroit	Michigan	79-80
	Wellesley

Los Angeles San Diego

University City State IELTS TOEFL Fall 2013 Deadline Spring 2014 Deadline

Northridge California 5.5 61

Fullerton California 5.5 61

Mechanical-Electrical-Civil-Computer

Pomona California 6.0 71

San Diego California 6.5 80

San Diego California 6.5 80

10/1/2013*

Los Angeles Area
California State Univerity-	Northridge	7/1/13	11/16/13	Mechanical-Electrical-Civil-Computer-Industrial
California State Univerity-	Fullerton	8/31/2013*
California State Polytechnic University –	Pomona	Closed	N/A	Computer-Electrical-Mechanical-Chemical-Civil-Industrial
San Diego
San Diego State University	Electrical -Mechanical-Computer-Civil-Environmental
University of San Diego	2/1/2013*	Mechanical-Industrial-Electrical

Chemical Engineering

University City State IELTS TOEFL Fall 2013 Deadline Spring 2014 Deadline
Arizona State University Tempe Arizona 6.0 61 5/1/13 10/1/2013* Conditional Admissions

University of Arizona Tuscan Arizona 6.0 70 5/2/13 10/1/2013*
University of Colorado-Boulder Boulder Colorado 6.5 83

10/1/2013*

Colorado State University Fort Collins Colorado

79/71

10/1/2013*

University of Kansas Lawrence Kansas

Technological University

Tennessee 5.0 61

Las Cruces New Mexico 6.0

Conditional Admissions

West Virginia University Morgantown West Virginia 6.0* 61
Drexel University

Pennsylvania

Virginia 6.0 80 6/1/13 10/1/13

Dayton Ohio 6.0 70

State University

Cleveland Ohio 6.0

5/3/13
6/5/6.0	5/4/13	IELTS 5.0 Cond.Admis.
	Tennessee	Cookeville
New Mexico State University-	Las Cruces	68
Phildelphia
Virginia Commonwealth University	Richmond
University of	Dayton
	Cleveland	65	5/15/13	10/15/13

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