3. Examine the results in Table VI. Which t ratio listed in the table had the largest p value? What was the focus of this t-test, and were the results significant? Provide a rationale for your answer.
3. Examine the results in Table VI. Which t ratio listed in the table had the largest p value? What was the focus of this t-test, and were the results significant? Provide a rationale for your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Can you answer #3
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Page 2 of 3
TABLE VI I Quality of Life Experienced by Women and Men (N= 171)
WOMEN (n = 74)
MEAN (SD)
MEN (n = 97)
MEAN (SD)
TVALUE
(DF = 169)
INSTRUMENTS AND COMPONENTS/SCALES
P VALUE
SF-36 (0 = low QoL, 100 = high QoL)
-2.50
48.5 (5.7)
48.2 (7.6)
51.3 (23.7)
51.1 (7.4)
51.4 (7.5)
58.6 (24.1)
12.6 (23.7)
0.01
The Physical Component Score (PCS)*
The Mental Component Score (MCS)
-2.74
0.007
Physical Functioning (PF)
-1.98
0.049
Role-Physical (RP)
Bodily Pain (BP)
General Health (GH)
4.7 (14.1)
-2.54
0.007
57.6 (26.2)
62.5 (27.3)
0.24
51.1 (17.6)
54.2 (20.1)
0.30
39.8 (19.0)
-2.31
Vitality (VT)
Social Functioning (SF)
47.5 (23.2)
0.02
61.0 (27.4)
66.1 (23.2)
0.19
Role-Emotional (RE)
27.5 (39.5)
37.8 (42.7)
0.11
Mental Health (MH)
62.3 (22.9)
72.7 (20.1)
-3.15
0.002
QLI (0 = low QoL, 30 = high QoL)
Total Scale
20.1 (3.5)
21.2 (3.6)
-2.06
0.04
Health Functioning
17.9 (4.1)
19.3 (4.6)
-1.99
0.049
Socioeconomic
22.6 (3.6)
22.9 (3.7)
0.58
19.6 (4.6)
21.1 (4.3)
26.0 (3.9)
Psychologic/spiritual
-2.10
0.04
Family (N= 69 women and 94 men)
25.6 (4.7)
0.51
*PCS = PF, RP, BP, GH. "MCS = VT, SF, RE, MH. "df = 161. Sdf= 168. Qol = Quality of life; QLI, Quality-of-Life Index-Cardiac Version.
Kristofferzon, M., Löfmark, R., & Carlsson, M. (2005). Perceived coping, social support, and quality of life 1 month after myocardial infarction:
A comparison between Swedish women and men. Heart & Lung, 341). p. 47.
Study Questions
1. t= -1.99 describes the difference between women and men post myocardial infarction (MI) for
what variable?
2. Consider t= -2.74 and t= -2.31. Which calculated t ratio has the smaller p value? Provide a
rationale for your answer.
3. Examine the results in Table VI. Which t ratio listed in the table had the largest p value? What
was the focus of this t-test, and were the results significant? Provide a rationale for your answer.
4. What is df? Why is it important to know the df for a t ratio? How would you calculate the df for a
t-test, and what is the df for this study?
5. What is the cause of an increased risk for Type I errors when t-tests are conducted? How might
researchers eliminate the increased risk for a Type I error in a study?
6. Given the information presented in Table VI, calculate a Bonferroni procedure for this study.
7. Does this study meet the assumptions for the t-test? Provide a rationale for your answer.
8. What sampling method did the researchers use in this study? Provide a rationale for your answer.
9. What level of data is analyzed by means and standard deviations? Is this level of data compatible
with the assumptions for the 1-test? Provide a rationale for your answer.
10. Is the sample size adequate to detect significant differences between the two groups in this study?
Source: Kristofferzon, M., Lofrnark, R., & Carlsson, M. (2005). Perceived coping, social support, and quality of life 1 month
after myocardial infarction: A comparison between Swedish women and men. Heart & Lung. 34(1), 39-50.
MNU © 2020
Page 3 of 3"
Transcribed Image Text:MNU © 2020
Page 2 of 3
TABLE VI I Quality of Life Experienced by Women and Men (N= 171)
WOMEN (n = 74)
MEAN (SD)
MEN (n = 97)
MEAN (SD)
TVALUE
(DF = 169)
INSTRUMENTS AND COMPONENTS/SCALES
P VALUE
SF-36 (0 = low QoL, 100 = high QoL)
-2.50
48.5 (5.7)
48.2 (7.6)
51.3 (23.7)
51.1 (7.4)
51.4 (7.5)
58.6 (24.1)
12.6 (23.7)
0.01
The Physical Component Score (PCS)*
The Mental Component Score (MCS)
-2.74
0.007
Physical Functioning (PF)
-1.98
0.049
Role-Physical (RP)
Bodily Pain (BP)
General Health (GH)
4.7 (14.1)
-2.54
0.007
57.6 (26.2)
62.5 (27.3)
0.24
51.1 (17.6)
54.2 (20.1)
0.30
39.8 (19.0)
-2.31
Vitality (VT)
Social Functioning (SF)
47.5 (23.2)
0.02
61.0 (27.4)
66.1 (23.2)
0.19
Role-Emotional (RE)
27.5 (39.5)
37.8 (42.7)
0.11
Mental Health (MH)
62.3 (22.9)
72.7 (20.1)
-3.15
0.002
QLI (0 = low QoL, 30 = high QoL)
Total Scale
20.1 (3.5)
21.2 (3.6)
-2.06
0.04
Health Functioning
17.9 (4.1)
19.3 (4.6)
-1.99
0.049
Socioeconomic
22.6 (3.6)
22.9 (3.7)
0.58
19.6 (4.6)
21.1 (4.3)
26.0 (3.9)
Psychologic/spiritual
-2.10
0.04
Family (N= 69 women and 94 men)
25.6 (4.7)
0.51
*PCS = PF, RP, BP, GH. "MCS = VT, SF, RE, MH. "df = 161. Sdf= 168. Qol = Quality of life; QLI, Quality-of-Life Index-Cardiac Version.
Kristofferzon, M., Löfmark, R., & Carlsson, M. (2005). Perceived coping, social support, and quality of life 1 month after myocardial infarction:
A comparison between Swedish women and men. Heart & Lung, 341). p. 47.
Study Questions
1. t= -1.99 describes the difference between women and men post myocardial infarction (MI) for
what variable?
2. Consider t= -2.74 and t= -2.31. Which calculated t ratio has the smaller p value? Provide a
rationale for your answer.
3. Examine the results in Table VI. Which t ratio listed in the table had the largest p value? What
was the focus of this t-test, and were the results significant? Provide a rationale for your answer.
4. What is df? Why is it important to know the df for a t ratio? How would you calculate the df for a
t-test, and what is the df for this study?
5. What is the cause of an increased risk for Type I errors when t-tests are conducted? How might
researchers eliminate the increased risk for a Type I error in a study?
6. Given the information presented in Table VI, calculate a Bonferroni procedure for this study.
7. Does this study meet the assumptions for the t-test? Provide a rationale for your answer.
8. What sampling method did the researchers use in this study? Provide a rationale for your answer.
9. What level of data is analyzed by means and standard deviations? Is this level of data compatible
with the assumptions for the 1-test? Provide a rationale for your answer.
10. Is the sample size adequate to detect significant differences between the two groups in this study?
Source: Kristofferzon, M., Lofrnark, R., & Carlsson, M. (2005). Perceived coping, social support, and quality of life 1 month
after myocardial infarction: A comparison between Swedish women and men. Heart & Lung. 34(1), 39-50.
MNU © 2020
Page 3 of 3
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