Absenteeism can be a serious employment problem.  It is estimated that absenteeism reduces potential output by more than 10%.  Two economists launched a research project to learn more about the problem.  They randomly selected 100 organizations to participate in a 1-year study.  For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism.  The file ‘absenteeism FinEx’ contains the data on these selected 100 organizations. Question: How do

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Absenteeism:  Absenteeism can be a serious employment problem.  It is estimated that absenteeism reduces potential output by more than 10%.  Two economists launched a research project to learn more about the problem.  They randomly selected 100 organizations to participate in a 1-year study.  For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism.  The file ‘absenteeism FinEx’ contains the data on these selected 100 organizations.

Question: How does the MLR analysis compare with the t-test for Av Shift in predicting absenteeism?  Comment on the similarities and/or differences. (both MLR and t-test are provided below)

Data:

Wage Pct PT Pct U Av Shift U/M Rel Absent
22477 8.5 57.1 1 1 5.4
29939 1.9 41.5 0 1 4.1
22957 12.2 52.6 1 0 11.5
18888 30.8 65.1 0 1 2.1
15078 6.8 68.8 0 1 5.9
15481 5.1 46.4 0 0 12.9
21481 25.3 38.9 0 1 3.5
29687 9.2 17.2 0 0 2.6
13603 8.4 12.9 0 0 8.6
18303 4.9 18.1 0 1 2.7
20832 23.8 64.4 1 1 6.6
22325 24.1 63.7 1 1 2.1
19964 8.6 12.2 0 1 3.8
32496 5.9 11.8 1 0 4.3
15795 2.9 25.8 0 1 4.3
21138 24.3 53.2 0 0 2.2
18859 20.6 22.8 1 1 8.6
12023 9 49.8 1 1 10.8
33272 24 39.1 1 0 2.9
22325 11.9 32.6 1 0 5.3
26147 0 67.7 1 0 8.2
33229 11.7 10.8 0 0 2.8
37970 14.6 25.5 1 1 2.4
15281 27.2 31.8 0 0 2.8
19423 17.2 35 1 1 5
26587 13.9 41.9 1 1 9.5
22963 2.6 52.9 0 1 4.3
26404 6.4 64.4 0 1 8.9
16315 4.9 69.7 0 1 7.2
26759 23.2 61.8 1 1 5.6
30824 13.2 52.1 0 1 2.4
31979 27.7 57.4 1 1 2.7
23135 7 15.2 0 0 13.4
18014 0 38.7 1 0 14.8
18541 13.8 69.4 1 1 10.7
16747 9.9 67.2 1 0 10.3
13473 6.3 47.8 0 1 4.6
42986 13.4 24.5 1 0 3.9
23964 8.8 79.4 1 0 13.3
30794 0.4 12.1 1 0 2.2
21104 14.7 71 0 1 5.7
19137 7.7 28 1 0 11.8
26058 7.3 45.6 0 1 2.5
22085 6.8 25.4 0 1 2.1
29044 8.6 40.6 0 0 4.1
24205 19.6 25.1 1 1 4.9
17698 10.8 42.3 1 1 7.7
26399 4.5 63.3 1 1 6.3
40590 15.9 69.4 1 1 2.9
24805 5.7 17.7 1 1 2.6
18899 13.1 54.8 1 1 6.1
26802 15.5 46.5 0 1 6
30034 11.8 53.2 1 0 6.7
15713 16.6 41.2 1 0 11.9
18280 6.4 65 1 1 9.3
41009 6.7 54.9 0 1 3.6
24021 14 20.6 1 1 2.6
21836 27.6 29 0 1 2.1
21157 5.5 50.2 1 1 9
19529 14.5 56.6 1 0 11
31240 26.3 36.4 1 1 2.9
20963 0 0 1 1 2.2
33826 8.2 87.9 0 1 3.3
23349 0 38.5 1 1 5.9
22695 25.4 47 1 1 4
30475 0 69.3 1 0 10.8
16631 5.9 48.2 1 1 7.1
28996 18.6 29.3 1 1 2.9
15807 16.9 42.9 1 1 6.2
15585 0 59.4 1 0 10.3
18466 9 69.4 1 0 13.5
35140 21.1 37.1 1 1 6.7
33459 14.1 19.5 1 1 2.6
24357 0 21.5 1 1 5.2
19370 3.7 35 1 1 7.2
21820 6.3 0 1 1 3.5
23351 12.3 27.1 1 1 5.4
22938 6.8 68.5 1 1 5.8
16477 10 61.5 1 1 11.7
20790 28.5 59.9 1 0 5.6
20352 19.4 34.6 1 0 4.6
19743 14.3 39.7 1 0 8.6
22775 10.3 35.7 1 1 2.1
24229 0.9 26.7 1 0 9.6
41195 8.6 66.7 1 0 4
23143 4.2 63.1 0 1 10.6
13400 28.1 46.7 0 0 5.8
21371 14.9 78.9 1 0 7.4
28675 7.7 63.4 0 0 10.3
18171 6.9 47.9 0 1 6.3
23670 20.5 46.3 1 1 6.7
29745 6.1 53.9 1 0 6.7
14672 13.9 46 1 0 13.3
20382 0 38.6 1 1 4.1
24952 14.6 53.8 0 1 4.6
28878 7.4 12.2 1 1 2.7
24558 24.5 37 1 1 8
20447 0.9 27.4 1 1 4.2
27714 8.7 58.1 0 0 9
18116 3.5 47.5 1 1 7.7
Column 1, Wage:
Average employee wage
Column 2, Pct PT:
Percentage of part-time employees
Column 3, Pct U :
Percentage of unionized employees
Column 4: Av Shift : Availability of shiftwork
1= Yes
0 = No
Column 5: U/M Rel : Union-management relationship
1= good 0 = Not good
Column 6: Absent: Average number of days absent per employee
Transcribed Image Text:Column 1, Wage: Average employee wage Column 2, Pct PT: Percentage of part-time employees Column 3, Pct U : Percentage of unionized employees Column 4: Av Shift : Availability of shiftwork 1= Yes 0 = No Column 5: U/M Rel : Union-management relationship 1= good 0 = Not good Column 6: Absent: Average number of days absent per employee
Perform a two-sample t-test analysis to determine if mean absenteeism is different between organizations
which have a good Union management and those that do not.
F-Test Two-Sample for Variances U/MO Absent U/M 1 Absent t-Test: Two-Sample Assuming Unequal Variances
Мean
7.972222222
5.253125
1
Variance
15.31920635
6.493640873
Mean
64
7.972222 5.253125
Observations
36
Variance 15.31921 6.493641
df
35
63
Observati
Hypothesi
36
64
F
2.359108957
df
52
P(F<=f) one-tail
0.001495541
t Stat
3.745595
F Critical one-tail
1.609102009
P(T<=t) or 0.000226
t Critical o 1.674689
P(T<=t) tw 0.000452
t Critical t 2.006647
Perform a similar analysis to determine if the availability of shiftwork significantly influences
absenteeism.
F-Test Two-Sample for Varlances
Av Shift No
Av Shift Yes
t-Test: Two-Sample Assuming Unequal Variances
Мean
5.306060606
6.688059701
Variance
10.03871212
11.39621891
Mean
5.306061 6.68806
Variance 10.03871 11.39622
Observations
33
67
Observati
33
67
df
32
66
Hypothesi
0.880880949
df
68
t Stat
-2.0067
P(F<=f) one-tail
0.353597115
P(Tct) or 0.02438
t Critical o 1.667572
P(Tc=t) tw 0.04876
t Critical t 1.995469
F Critical one-tail
0.586875931
Perform a stepwise regression to obtain the best multiple linear regression equation.
Regression Analysis:
The regression equation ia
Absent - 10.3 - 0.000203 Mage - 0.107 Pet PI + 0.0599 Pet U+ 1.56 Av Shift
- 2.64 UM Rel
edictor
Conatant
Wage
Pet PT
Pet U
Av Shift
SE Co
1.172
Coef
10.245
8.76 0.000
-0.00020330 0.00003573 -5.69 0.000
-0.10687
0.02949 -3.62 0.000
0.059es
1.5619
-2.6366
0.01240
0.5027 3.1i 0.002
4.03 0.000
UM Rel
0.4922 -5.36 0.000
S- 2.355e9 R-Sa - 53.21 R-Sq(ad) - 50.78
Analysis of Variance
Source
Regression
Residual Error 94
DF
55
MS
593.90 118.78 21.40 0.000
521.72
99 1115.62
5.55
Total
Transcribed Image Text:Perform a two-sample t-test analysis to determine if mean absenteeism is different between organizations which have a good Union management and those that do not. F-Test Two-Sample for Variances U/MO Absent U/M 1 Absent t-Test: Two-Sample Assuming Unequal Variances Мean 7.972222222 5.253125 1 Variance 15.31920635 6.493640873 Mean 64 7.972222 5.253125 Observations 36 Variance 15.31921 6.493641 df 35 63 Observati Hypothesi 36 64 F 2.359108957 df 52 P(F<=f) one-tail 0.001495541 t Stat 3.745595 F Critical one-tail 1.609102009 P(T<=t) or 0.000226 t Critical o 1.674689 P(T<=t) tw 0.000452 t Critical t 2.006647 Perform a similar analysis to determine if the availability of shiftwork significantly influences absenteeism. F-Test Two-Sample for Varlances Av Shift No Av Shift Yes t-Test: Two-Sample Assuming Unequal Variances Мean 5.306060606 6.688059701 Variance 10.03871212 11.39621891 Mean 5.306061 6.68806 Variance 10.03871 11.39622 Observations 33 67 Observati 33 67 df 32 66 Hypothesi 0.880880949 df 68 t Stat -2.0067 P(F<=f) one-tail 0.353597115 P(Tct) or 0.02438 t Critical o 1.667572 P(Tc=t) tw 0.04876 t Critical t 1.995469 F Critical one-tail 0.586875931 Perform a stepwise regression to obtain the best multiple linear regression equation. Regression Analysis: The regression equation ia Absent - 10.3 - 0.000203 Mage - 0.107 Pet PI + 0.0599 Pet U+ 1.56 Av Shift - 2.64 UM Rel edictor Conatant Wage Pet PT Pet U Av Shift SE Co 1.172 Coef 10.245 8.76 0.000 -0.00020330 0.00003573 -5.69 0.000 -0.10687 0.02949 -3.62 0.000 0.059es 1.5619 -2.6366 0.01240 0.5027 3.1i 0.002 4.03 0.000 UM Rel 0.4922 -5.36 0.000 S- 2.355e9 R-Sa - 53.21 R-Sq(ad) - 50.78 Analysis of Variance Source Regression Residual Error 94 DF 55 MS 593.90 118.78 21.40 0.000 521.72 99 1115.62 5.55 Total
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman