Modelling of Engineering Management Systems
PostGraduate Program
ENGG953: Modelling of Engineering Management Systems
Assignment 2
Submitted Date:December 8, 2017
Due Date: December 28,2017
Submission Form: Hard copy Binded includes (bind the two reviewed research journal articles with the full report)
Part A.
Problem 1
Review one research articles in the area of engineering that includes regression analysis. The research should have been carried out by the author(s). The article must be directed at a scholarly audience. State clearly the research question, the author interest, state clearly the hypothesis intended to be tested by regression. Describe the dependent variable and the independent variables. You need to discuss the type of data and its source (give a brief overview of how the data was acquired, collected, observed or measured).
Discuss the findings, the tests of the assumptions. Give interpretation of the results anddiscuss the author conclusion in relation of the regression findings. In case you have access to the research data, carry out the checking of the assumptions. The scientific article should have been published in ranked journals A or B.
Problem 2
Sameas in Problem 1 where the article employs the Analysis of Variance.
Length: Two to three pages typed for each article.
Source of the Journal article:Use the data bases available through the Library home page. UOWD subscribes to a large number of electronic form journals. Provide the research articles with the report.So you need to spot two articles that look interesting to you in terms of the use.
1) First Article : Regression analysis.25%
2) Second Article: Analysis of variance (one way ANOVA or Two Factor ANOVA or One factor Anova with blocking or repeated Anova) 25%
Group work:
All the members are expected to contribute to the writing of the report. All the members are responsible for any plagiarism. The groups are expected to work independently. You should submit your work as a report in a binding form.
Note: (Do not search through web).
The marking criteria will be based on
· Selection of the article which describes the statistical approach (regression) with enough detail to enable you to have a knowledgeable awareness of the research conducted and possible access to the original data to verify the reported results ( if possible).
· Describe the use of statistical versus the research hypothesis.
· The effort made by the team in understanding the article and the regression employed in the analysis (Do not give a summary of the paper).
· The report should demonstrate that you have (s) grasped the important concepts
· The report should demonstrate some relevant evidence of depth understanding of the objective of the empirical research conducted by the author(s)
· The quality of the writing (do not rewrite the research article). The report should be coherent
· The completeness and validity of the material in relation to the Author(s) research question
· The validity of the tested hypothesis in relation to the Author(s) research question
· Explicit awareness of strength and weakness of the research
· The quality of presentation and organization of the report, including the quality of expression
· Detail the empirical method
· Apply the critiquing criteria to the evaluation of the paper and its hypothesis
· Evaluate the method and the instrument used in the empirical analysis and state limitation(s)
Par B 20%
Problem 1 Regression
Data for this Problem is found below (you may copy and paste to SPSS or to Excel)
The data contains:
Y: beginning salary in $
X1: Years of schooling (Educ)
X2: number of months of previous work
X3: number of months after January 1, 1989 that the individual was hired
X4: indicator variable coded 1 for males and 0(females)
X5: indicator variable coded 0 for males and 1(males)
a) Conduct your regression of salary on the explanatory variables.Which variables are significant (explain) (use α=0.05)?
b) Interpret the overall model (Test the validity of the overall model)
c) Interpret the fourth variableresults (X4)
d) conduct the hypothesis at (α=0.05) of (educ=0 and establish the 90% confidence interval for the marginal slope of Educ (X1)
e) Is there a significant difference in salaries, on average for male and female workers before controlling for the other three explanatory variables?
f) Assess the normality assumption of the full model
g) Check your model for multi-collinearity
h) What would happen if you include both X4 and X5 into the model (what do you call such a case in regression)?
Data for Problem 1
Y
X1
X2
X3
X4
X5
Observation
SALARY
EDUCAT
EXPER
MONTHS
MALES
females
1
3900
12
0
1
0
1
2
4020
10
44
7
0
1
3
4290
12
5
30
0
1
4
4380
8
6
7
0
1
5
4380
8
8
6
0
1
6
4380
12
0
7
0
1
7
4380
12
0
10
0
1
8
4380
12
5
6
0
1
9
4440
15
75
2
0
1
10
4500
8
52
3
0
1
11
4500
12
8
19
0
1
12
4620
12
52
3
0
1
13
4800
8
70
20
0
1
14
4800
12
6
23
0
1
15
4800
12
11
12
0
1
16
4800
12
11
17
0
1
17
4800
12
63
22
0
1
18
4800
12
144
24
0
1
19
4800
12
163
12
0
1
20
4800
12
228
26
0
1
21
4800
12
381
1
0
1
22
4800
16
214
15
0
1
23
4980
8
318
25
0
1
24
5100
8
96
33
0
1
25
5100
12
36
15
0
1
26
5100
12
59
14
0
1
27
5100
15
115
1
0
1
28
5100
15
165
4
0
1
29
5100
16
123
12
0
1
30
5160
12
18
12
0
1
31
5220
8
102
29
0
1
32
5220
12
127
29
0
1
33
5280
8
90
11
0
1
34
5280
8
190
1
0
1
35
5280
12
107
11
0
1
36
5400
8
173
34
0
1
37
5400
8
228
33
0
1
38
5400
12
26
11
0
1
39
5400
12
36
33
0
1
40
5400
12
38
22
0
1
41
5400
12
82
29
0
1
42
5400
12
169
27
0
1
43
5400
12
244
1
0
1
44
5400
15
24
13
0
1
45
5400
15
49
27
0
1
46
5400
15
51
21
0
1
47
5400
15
122
33
0
1
48
5520
12
97
17
0
1
49
5520
12
196
32
0
1
50
5580
12
133
30
0
1
51
5640
12
55
9
0
1
52
5700
12
90
23
0
1
53
5700
12
117
25
0
1
54
5700
15
51
17
0
1
55
5700
15
61
11
0
1
56
5700
15
241
34
0
1
57
6000
12
121
30
0
1
58
6000
15
79
13
0
1
59
6120
12
209
21
0
1
60
6300
12
87
33
0
1
61
6300
15
231
15
0
1
62
4620
12
12
22
1
0
63
5040
15
14
3
1
0
64
5100
12
180
15
1
0
65
5100
12
315
2
1
0
66
5220
12
29
14
1
0
67
5400
12
7
21
1
0
68
5400
12
38
11
1
0
69
5400
12
113
3
1
0
70
6000
15
25
13
1
0
71
6000
15
36
32
1
0
72
6000
15
56
12
1
0
73
6000
15
64
33
1
0
74
6000
15
108
16
1
0
75
6000
16
46
3
1
0
76
6300
15
72
17
1
0
77
6600
15
64
16
1
0
78
6600
15
84
33
1
0
79
6600
15
216
16
1
0
80
6840
15
42
7
1
0
81
6900
12
175
10
1
0
82
6900
15
132
24
1
0
83
8100
16
55
33
1
0
Problem 2 15%
Ten students performed four recall tasks. The Experiment results are given below:
image1.png
a. Conduct the analysis to test whether all population means of the four tests are equal. Discuss the test of assumptions. Explain the partitioning of the total variance.
b. Suppose the first 6 subjects are male and the other 4 subjects are female. Suggest appropriate hypotheses and test them.
Problem 3 15%
Based on the following data:
Response Factor A Factor B
image2.emf
ResponseFactor AFactor B
810
11
820
11
820
11
840
21
840
21
845
21
785
31
790
31
785
31
835
11
835
11
835
11
845
21
855
21
850
21
760
31
760
31
770
31
820
12
820
12
820
12
820
22
820
22
825
22
775
32
775
32
775
32
825
12
825
12
825
12
815
22
825
22
825
22
770
32
760
32
765
32
1) Conduct one way one Anova on Factor A and interpret the results. conduct a post-hoc test if needed.
2) Conduct Two_way_Anova (two way anova with repelication) on the two factors, interpret the results and include interaction graphs.
3) Conduct a two-way analysis of variance using blocking where the blocking factor is A and the main factor isB. Interpret the results and compare corresponding variance between the various techniques.
4) Test ANOVA assumptions
1