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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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    1

    Table of Contents

    Introduction..2

    Decision Problem.3

    Survey..4

    Data Processing.7

    Conclusion.19

    Annexes21

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    2

    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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    3

    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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    4

    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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    5

    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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    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