what motivates students to do activities that will benefit their professional carrier
TRANSCRIPT
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BUCHAREST UNIVERSITY OF ECONOMIC STUDIES - FACULTY OF BUSINESS
ADMINISTRATION
Analytic Hierarchy
ProcessWhat motivates students to do activities thatwill benefit their professional carrier
Nicolae Ciprian group 134
5/14/2014
Asist.univ.Shahrazad Hadad
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Table of Contents
Introduction..2
Decision Problem.3
Survey..4
Data Processing.7
Conclusion.19
Annexes21
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Introduction
Nowadays, students have a lot of activities to do during their free time, some of thembeing more beneficial than other, but nonetheless all of them are beneficial in some shape
or form to the future development of ones personality and career. I truly believe that a
persons free time is never wasted and it certainly plays an important factor in the
development of a young mind. If you play games, study, going out or even sleep all day, you
invest all this time in you and you gain, more or less, some benefits from this sort of
activities.
The purpose of this project is to identify what type of activity students prefer when
they spend their free time based on some criteria that will benefit their future development.Usually, the preferences of students are way more varied, but in this context I chose the
most relevant criteria and alternatives based on what I consider to be relevant in this stage
of my life.
In order to approach the issue of this subject, I have chosen four alternatives that
have the most impact and are relevant to ones personality. The alternatives are:
Volunteering, Studying, Networking and Travelling. I chose these because of the differences
between them and because although they bring the same benefits, these benefits can vary
from one person to another so the results are different even if everyone practices these
types of activities. The decision-making process, considering the alternatives and criteria
available, constitutes the objective of this paper and the steps of this process are:
Define the decision problem and create Analytical Hierarchy Process
framework
Create a survey, which will be answered by at least 2 student respondents,
based on the criteria and alternatives from the AHP structure
Perform pair-wise comparisons through the scales: Linguistic model, Saatyand Ma Zheng
Proceed data in decision matrices and establish the priority vector
Aggregate the final results in Gauss 10
Interpretation and final conclusions
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Decision problem
Choosing between multiple alternatives regarding the activities that students prefer
isnt very difficult theoretically but when you consider the most important criteria that
influence the outcome of such a decision it can become problematic. Things like what
benefit does a person gain or the amount of enjoyment they truly obtain or how do these
activities influence the level of satisfaction, play an important role in the final decision.
The main question of this paper is: How do you spend your free time?
In order to receive an answer to this question requires the creation of an AHP
structure which dispatches the criteria and alternatives in question. The possible activities
are: Studying, Networking, Volunteering and Travelling; and the criteria are represented by:
Enjoyment, Productivity and Personal Development.
What do you do during your free time for your
future development?
Enjoyment Productivity Personal
Develo ment
Studying Networking Travelling
Hi h En o ment Low En o ment Hi h Productivit Low Productivit
Problem
Criteria
AlternativesVolunteering
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Enjoyment
Personal enjoyment can be gained after smallest social contact, for example, a one-
to-one chat producing a smile or effort at communication. Peoples capacity for enjoyment
can expand by designing activities and the spaces where they occur to extend a persons
connection with the world around them.
Personal enjoyment is improved by an active sense of belonging through joining in
daily life tasks and in planned daily life activities, thus every activity that a person chooses
has a level of enjoyment unique to that respective person. In other words I can find for
example swimming more enjoyable than other people thus I prefer it more than others.
Productivity
This criterion refers to the amount of value that each of us get from doing something.
To put it into perspective, productivity refers to the amount of satisfaction that a person
gains after a specific task or in this case activity is performed and it is relative to the time and
resources involved in the process.
Personal development
Personal development includes activities that improve awareness and identity,
develop talents and potential, enhance quality of life and contribute to the realization of
dreams and aspirations. The concept is not limited to self-help but includes formal and
informal activities for developing others in roles such as teacher, guide, counselor, manager,life coach or mentor. When personal development takes place in the context of activities
that you do during your free time it translates into the perceived gains that help develop
your mind and personality.
Survey
The survey has been completed by students of Bucharest University of EconomicStudies who in this project are nominated as Respondent 1, Respondent 2 and Respondent
3.
Within the survey, there will be used the Saaty`s scale, represented by a 9-step scale,
an useful tool in order to establish with which intensity students preferred a choice despite
the others and to avoid subjective answers. Additionally, the Saaty scale will be transposed
in Linguistic and Ma Zheng scales as well. However, the computations corresponding to the
matrices used in Gauss will be based on the Saaty scale.
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In the survey each of these steps were followed:
Pair wise comparison between each 2 criteria from the 3 criteria in terms of
activity choice.
Pair wise comparison between 2 alternatives from the first sub-criterion High
Enjoyment of the criterion factor named Enjoyment.
Pair wise comparison between each 2 alternatives from the second sub-
criterion Low enjoyment of the criterion factor named Enjoyment
Pair wise comparison between 2 alternatives from the first sub-criterion High
productivity of the criterion factor named Productivity
Pair wise comparison between each 2 alternatives from the second sub-criterion Low productivity of the criterion factor named Productivity
Pair wise comparison between 2 alternatives from the third criterion factor
named Personal development
Survey questions
1. When choosing an activity to do during your free time which is more important to
you Enjoyment or Productivity? For the chosen answer, please rate on a scale from 1
to 9 with witch intensity it is more important than the other factor.
2.
When choosing an activity to do during your free time which is more important to
you Productivity or Personal development? For the chosen answer, please rate on a
scale from 1 to 9 with witch intensity it is more important than the other factor.
3. When choosing an activity to do during your free time which is more important to
you Enjoyment or Personal development? For the chosen answer, please rate on a
scale from 1 to 9 with witch intensity it is more important than the other factor.
4. When considering Enjoyment, which is more important High enjoyment or Low
enjoyment? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
cale Equally
important
Weakly
more
important
Moderately
more
important
Moderately
plus more
important
Strongly
more
important
Strongly
plus more
important
Demonstrated
more
important
Very, very
strongly
moreimportant
Extremely
more
important
aaty 1 2 3 4 5 6 7 8 9
nguistic S0 S
1 S
2 S
3 S
4 S
5 S
6 S
7 S
8
Ma
heng1 9/8 9/7 9/6 9/5 9/4 9/3 9/2 9
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5. When considering High enjoyment, which is more important Networking or
Travelling? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
6. When considering Low enjoyment, which is more important Volunteering or
Studying? For the chosen answer, please rate on a scale from 1 to 9 with witchintensity it is more important than the other factor.
7. When considering Productivity, which is more important High productivity or Low
productivity? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
8. When considering High productivity, which is more important Studying or
Networking? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
9. When considering Low productivity, which is more important Volunteering or
Travelling? For the chosen answer, please rate on a scale from 1 to 9 with witchintensity it is more important than the other factor.
10.When considering Personal development, which is more important Volunteering or
Studying? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
11.When considering Personal development, which is more important Networking or
Travelling? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
12.When considering Personal development, which is more important Studying or
Networking? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
13.When considering Personal development, which is more important Volunteering or
Travelling? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
14.When considering Personal development, which is more important Studying or
Travelling? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
15.When considering Personal development, which is more important Volunteering or
Networking? For the chosen answer, please rate on a scale from 1 to 9 with witch
intensity it is more important than the other factor.
The criteria and alternatives are defined as follows:
EnjoymentC1
High EnjoymentS1C1
Low EnjoymentS2C1
ProductivityC2
High productivityS1C2
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Low productivityS2C2
Personal developmentC3
VolunteeringA1
StudyingA2
NetworkingA3TravellingA4
Data processing
The decision matrices will be constructed for Saaty, Linguistic and Ma Zheng scales
for all three respondents in order to determine the priority vectors allocated to each
decision matrix, important in determining the synthetized priorities.
Saaty scale
Respondent 1
DM_C C1 C2 C3
C1 1 9 7 w1
C2 1/9 1 1/5 w2
C3 1/7 5 1 w3
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_S1C1 A3 A4
A3 1 8 aA4 1/8 1 b
DM_S1C2 A2 A3
A2 1 1/6 e
A3 6 1 f
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
DM_S2C1 A1 A2
A1 1 1/7 c
A2 7 1 d
DM_S2C2 A1 A4
A1 1 1/8 g
A4 8 1 h
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DM_C3 A1 A2 A3 A4
A1 1 1/6 1/4 1/8 i
A2 6 1 1/3 5 j
A3 4 3 1 7 k
A4 8 1/5 1/7 1 l
Respondent 2
DM_C C1 C2 C3
C1 1 8 7 w1
C2 1/8 1 1/6 w2
C3 1/7 6 1 w3
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_S1C1 A3 A4
A3 1 1/3 a
A4 3 1 b
DM_S1C2 A2 A3
A2 1 2 e
A3 1/2 1 f
DM_C3 A1 A2 A3 A4
A1 1 1/3 1/5 2 iA2 3 1 3 3 j
A3 5 1/3 1 2 k
A4 1/2 1/3 1/2 1 l
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
DM_S2C1 A1 A2
A1 1 1/6 c
A2 6 1 d
DM_S2C2 A1 A4
A1 1 1/8 g
A4 8 1 h
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Respondent 3
DM_C C1 C2 C3
C1 1 8 8 w1
C2 1/8 1 1/4 w2
C3 1/8 4 1 w3
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_S1C1 A3 A4
A3 1 4 a
A4 1/4 1 b
DM_S1C2 A2 A3
A2 1 3 eA3 1/3 1 f
DM_C3 A1 A2 A3 A4
A1 1 1/8 2 1/5 i
A2 8 1 4 8 j
A3 1/2 1/4 1 1/3 k
A4 5 1/8 3 1 l
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
DM_S2C1 A1 A2
A1 1 1/9 c
A2 9 1 d
DM_S2C2 A1 A4
A1 1 1/7 gA4 7 1 h
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Linguistic scale
Respondent 1
DM_C C1 C2 C3
C1S0 S8 S6
w1
C2
S-8 S0 S-4
w2
C3
S-6 S4 S0
w3
DM_C1 S1C1 S2C1
S1C1S0 S8
w1.1
S2C1
S-8 S0
w1.2
DM_S1C1 A3 A4
A3
S0 S7
a
A4
S-7 S0
b
DM_S1C2 A2 A3
A2
S0 S-5
e
A3
S5 S0
f
DM_C2 S1C2 S2C2
S1C2
S0 S8
w2.1
S2C2
S-8 S0
w2.2
DM_S2C1 A1 A2
A1
S0 S-6
c
A2
S6 S0
d
DM_S2C2 A1 A4
A1
S0 S-7
g
A4
S7 S0
h
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DM_C3 A1 A2 A3 A4
A1
S0 S-5 S-3 S-7
i
A2S5 S0 S-2 S4
j
A3
S3 S2 S0 S6
k
A4
S7 S-4 S-6 S0
l
Respondent 2
DM_C C1 C2 C3
C1
S0 S7 S6
w1
C2
S-7 S0 S-5
w2
C3
S-6 S5 S0
w3
DM_C1 S1C1 S2C1
S1C1
S0 S8
w1.1
S2C1
S-8 S0
w1.2
DM_S1C1 A3 A4
A3
S0 S-2
a
A4
S2 S0
b
DM_C2 S1C2 S2C2
S1C2
S0 S8
w2.1
S2C2
S-8 S0
w2.2
DM_S2C1 A1 A2
A1
S0 S-5
c
A2
S5 S0
d
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DM_S1C2 A2 A3
A2
S0 S1
e
A3
S-1 S0
f
DM_C3 A1 A2 A3 A4
A1
S0 S-2 S-4 S1
i
A2
S2 S0 S2 S2
j
A3
S4 S-2 S0 S1
k
A4
S-1 S-2 S-1 S0
l
Respondent 3
DM_C C1 C2 C3
C1
S0 S7 S7
w1
C2
S-7 S0 S-3
w2
C3
S-7 S3 S0
w3
DM_C1 S1C1 S2C1
S1C1
S0 S8
w1.1
S2C1
S-8 S0
w1.2
DM_S2C2 A1 A4
A1
S0 S-7
g
A4S7 S0
h
DM_C2 S1C2 S2C2
S1C2
S0 S8
w2.1
S2C2
S-8 S0
w2.2
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DM_S1C1 A3 A4
A3
S0 S3
a
A4
S-3 S0
b
DM_S1C2 A2 A3
A2
S0 S2
e
A3
S-2 S0
f
DM_C3 A1 A2 A3 A4
A1
S0 S-7 S1 S-4
i
A2
S7 S0 S3 S7
j
A3
S-1 S-3 S0 S-2
k
A4S4 S-7 S2 S0
l
Ma Zheng scale
Respondent 1
DM_C C1 C2 C3C1 1 9 9/2 w1
C2 1/9 1 5/9 w2
C3 2/9 9/5 1 w3
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_S2C1 A1 A2
A1S0 S-8
c
A2
S8 S0
d
DM_S2C2 A1 A4
A1
S0 S-6
g
A4
S6 S0
h
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
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DM_S1C1 A3 A4
A3 1 9/2 a
A4 2/9 1 b
DM_S1C2 A2 A3
A2 1 4/9 e
A3 9/4 1 f
DM_C3 A1 A2 A3 A4
A1 1 4/9 6/9 2/9 i
A2 9/4 1 7/9 9/5 j
A3 9/6 9/7 1 9/3 k
A4 9/2 5/9 3/9 1 l
Respondent 2
DM_C C1 C2 C3
C1 1 9/2 9/3 w1C2 2/9 1 4/9 w2
C3 3/9 9/4 1 w3
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_S1C1 A3 A4
A3 1 7/9 a
A4 9/7 1 b
DM_S1C2 A2 A3
A2 1 9/8 e
A3 8/9 1 f
DM_S2C1 A1 A2
A1 1 3/9 c
A2 9/3 1 d
DM_S2C2 A1 A4
A1 1 2/9 g
A4 9/2 1 h
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
DM_S2C1 A1 A2
A1 1 4/9 c
A2 9/4 1 d
DM_S2C2 A1 A4
A1 1 2/9 g
A4 9/2 1 h
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DM_C3 A1 A2 A3 A4
A1 1 7/9 5/9 8/9 i
A2 9/7 1 9/7 9/7 j
A3 9/5 7/9 1 9/8 k
A4 9/8 7/9 8/9 1 l
Respondent 3
DM_C C1 C2 C3
C1 1 9/2 9/2 w1
C2 2/9 1 6/9 w2
C3 2/9 9/6 1 w3
DM_S1C2 A2 A3
A2 1 9/7 e
A3 7/9 1 f
DM_C3 A1 A2 A3 A4
A1 1 2/9 9/8 5/9 i
A2 9/2 1 9/6 9/2 j
A3 8/9 6/9 1 7/9 k
A4 9/5 2/9 9/7 1 l
Below I present the priority vectors determined by using the gauss program and the
corresponding line of code:
new;
DM_C=ones(3,3);
PV_DM_C=zeros(3,1);
{va,ve}=eigv(DM_C);
DM_C1 S1C1 S2C1
S1C1 1 9 w1.1
S2C1 1/9 1 w1.2
DM_C2 S1C2 S2C2
S1C2 1 9 w2.1
S2C2 1/9 1 w2.2
DM_S2C1 A1 A2
A1 1 1/9 c
A2 9 1 d
DM_S1C1 A3 A4
A3 1 9/6 a
A4 6/9 1 b
DM_S2C2 A1 A4
A1 1 3/9 g
A4 9/3 1 h
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ve_norm=zeros(rows(DM_C),rows(DM_C));
j=1;
do until j>rows(DM_C);
ve_norm[.,j]=ve[.,j]/sumc(ve[.,j]);
j=j+1;
endo;concatenat=va~ve_norm';
y=rev(sortc(concatenat,1));
lambda_max_DM_C=y[1,1];
CI_DM_C=(lambda_max_DM_C-rows(DM_C))/(rows(DM_C)-1);
PV_DM_C=zeros(rows(DM_C),1);
i=1;
do until i>rows(DM_C);
PV_DM_C[i,1]=y[1,i+1];
i=i+1;endo;
w=ones(3,1);
i=1;
do until i>3;
j=i+1;
do until j>3;
w[i,1]=w[i,1]*DM_C[i,j]^(1/3);
w[j,1]=w[j,1]*DM_C[i,j]^(-1/3);
j=j+1;
endo;i=i+1;
endo;
DM_C_L=w*(w.^(-1))';
{va,ve}=eigv(DM_C_L);
ve_norm=zeros(rows(DM_C_L),rows(DM_C_L));
j=1;
do until j>rows(DM_C_L);
ve_norm[.,j]=ve[.,j]/sumc(ve[.,j]);
j=j+1;
endo;concatenat=va~ve_norm';
y=rev(sortc(concatenat,1));
PV_DM_C_L=zeros(rows(DM_C_L),1);
i=1;
do until i>rows(DM_C_L);
PV_DM_C_L[i,1]=y[1,i+1];
i=i+1;
endo;
print "DM_C" DM_C;print "CI_DM_C" CI_DM_C;
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print "PV_DM_C~PV_DM_C_L" PV_DM_C~PV_DM_C_L;
Furthermore, below are computations of the priority vector taking into consideration
the Saaty scale:
Respondent 1
CR=CI/RI;
RI=0.58
CR=0.10423428/0.58=0.1797
CR=CI/RI;
RI=0.9
CR=0.39173327/0.9=0.4352
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Respondent 2
CR=CI/RI;
RI=0.58
CR=0.15669145/0.58=0.2701
CR=CI/RI;
RI=0.9
CR=0.13361828/0.9=0.1484
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Respondent 3
CR=CI/RI;
RI=0.58
CR=0.10868079/0.58=0.1873
CR=CI/RI;
RI=0.9
CR=0.20093373/0.9=0.2232
C1 C2 C3 Formula
w1 w2 w3
S1C1 S2C1 S1C2 S2C2
s1 s2 s3 s4
A1 a2 a4 a5 a2*s2*w1+a4*s4*w2+a5*w3
A2 b2 b3 b5 b2*s2*w1+b3*s3*w2+b5*w3
A3 c1 c3 c5 c1*s1*w1+c3*s3*w2+c5*w3
A4 d1 d4 d5 d1*s1*w1+d4*s4*w2+d5*w3
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R1 C1 C2 C3 Result
0.77 0.05 0.17
S1C1 S2C1 S1C2 S2C2
0.9 0.1 0.9 0.1
A1 0.125 0.11 0.046 0.0719
A2 0.875 0.142 0.125 0.0945
A3 0.88 0.857 0.57 0.73
A4 0.11 0.88 0.26 0.118
R2 C1 C2 C3 Result
0.75 0.054 0.18
S1C1 S2C1 S1C2 S2C2
0.9 0.1 0.9 0.1
A1 0.142 0.11 0.127 0.032A2 0.857 0.66 0.469 0.176
A3 0.25 0.33 0.297 0.239
A4 0.75 0.88 0.108 0.523
R3 C1 C2 C3 Result
0.78 0.061 0.15
S1C1 S2C1 S1C2 S2C2
0.9 0.1 0.9 0.1
A1 0.1 0.125 0.074 0.019A2 0.9 0.75 0.66 0.209
A3 0.8 0.25 0.073 0.6
A4 0.2 0.875 0.187 0.165
Conclusion
In choosing the best way in which to spend your free time, the respondents have
slightly different preferences. Although all respondents regarded enjoyment as the most
important criterion, only for the first and the third respondent networking is the most
appropriate alternative for future development. For the other respondent, travelling is the
best way in which to develop both personally and professionally.
In contrast, the least widespread alternative was volunteering, as it received less than
8% preference in every case. At the same time, productivity has been the least popular
criterion, which was chosen with a percentage of around 5-6%.
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Annexes
Responses to the questionnaire:
Respondent 1
1. C1 over C2 preferred with 9 intensity
2. C3 over C2 preferred with 5 intensity
3. C1 over C3 preferred with 7 intensity
4. S1C1 over S2C1 preferred with 9 intensity
5. A3 over A4 preferred with 8 intensity according to S1C1
6. A2 over A1 preferred with 7 intensity according to S2C1
7. S1C2 over S2C2 preferred with 9 intensity
8.
A3 over A2 preferred with 6 intensity according to S1C19. A4 over A1 preferred with 8 intensity according to S2C2
10.A2 over A1 preferred with 6 intensity according to C3
11.A3 over A4 preferred with 7 intensity according to C3
12.A3 over A2 preferred with 3 intensity according to C3
13.A4 over A1 preferred with 8 intensity according to C3
14.A2 over A4 preferred with 5 intensity according to C3
15.A3 over A1 preferred with 4 intensity according to C3
Respondent 2
1. C1 over C2 preferred with 8 intensity
2. C3 over C2 preferred with 6 intensity
3. C1 over C3 preferred with 7 intensity
4. S1C1 over S2C1 preferred with 9 intensity
5. A4 over A3 preferred with 3 intensity according to S1C1
6. A2 over A1 preferred with 6 intensity according to S2C1
7.
S1C2 over S2C2 preferred with 9 intensity8. A2 over A3 preferred with 2 intensity according to S1C1
9. A4 over A1 preferred with 8 intensity according to S2C2
10.A2 over A1 preferred with 3 intensity according to C3
11.A3 over A4 preferred with 2 intensity according to C3
12.A2 over A3 preferred with 3 intensity according to C3
13.A1 over A4 preferred with 2 intensity according to C3
14.A2 over A4 preferred with 3 intensity according to C3
15.A3 over A1 preferred with 5 intensity according to C3
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8/10/2019 What motivates students to do activities that will benefit their professional carrier
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Respondent 3
1. C1 over C2 preferred with 8 intensity
2. C3 over C2 preferred with 4 intensity
3. C1 over C3 preferred with 8 intensity
4.
S1C1 over S2C1 preferred with 9 intensity
5. A3 over A4 preferred with 4 intensity according to S1C1
6. A2 over A1 preferred with 9 intensity according to S2C1
7. S1C2 over S2C2 preferred with 9 intensity
8. A2 over A3 preferred with 3 intensity according to S1C1
9. A4 over A1 preferred with 7 intensity according to S2C2
10.A2 over A1 preferred with 8 intensity according to C3
11.A4 over A3 preferred with 3 intensity according to C3
12.A2 over A3 preferred with 4 intensity according to C3
13.A4 over A1 preferred with 5 intensity according to C3
14.A2 over A4 preferred with 8 intensity according to C3
15.A1 over A3 preferred with 2 intensity according to C3