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      <title-group>
        <article-title>Identifying Dominators and Followers In Group Decision Making Based on The Personality Traits</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yong Zheng</string-name>
          <email>yong.zheng@iit.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>School of Applied Technology Illinois Institute of Technology Chicago</institution>
          ,
          <addr-line>IL</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Human factors, such as emotions, personality traits and trust network, have been proved to play an important role in the decision making process. The impact by personality in individual and group decision making is still under investigation, especially in the area of educational learning. In this paper, we propose two approaches to distinguish the \dominator " and \follower" in group decision making by using an educational data. Our experiments also show that the characteristics of these two user roles can further be utilized in group recommender systems to produce better item recommendations.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Recently, the importance of personality is realized not
only for predicting the individual tastes, but also the
group preferences. For example, a group of users may
decide which dishes should be ordered for a group lunch.
Or, a group of tourists would like to make a decision
about the list of points of interests for tomorrow's trip.
Researchers [
        <xref ref-type="bibr" rid="ref12 ref15">15, 12</xref>
        ] nd out that user personality is one
of the key factors in group decisions. For instance, some
users (i.e. followers ) in the group may yield their choice
c 2018. Copyright for the individual papers remains with the authors.
Copying permitted for private and academic purposes.
      </p>
      <p>HUMANIZE '18, March 11, 2018, Tokyo, Japan
to group decisions, but some of other users (i.e.,
dominators) may play a dominant role in group decision making.
The impact by personality in individual and group
decision making is still under investigation, especially in the
area of educational learning. For example, team work
becomes more and more popular in the educational
learning. Students may be suggested to work together on the
assignments or projects. Decision making is involved in
such a scenario, e.g., how will the students build the
team, or which materials or topics should a team select
to start learning, etc. Furthermore, it is also
interesting to understand which group of the users may yield to
group decisions. In this paper, we discuss our analysis
to distinguish followers and dominators in the group
decision by using an educational data. Our contributions
can be summarized as follows:</p>
      <p>We propose two approaches to identify the dominators
and followers in the group decision making.</p>
      <p>We discover and summarize the characteristics of these
user roles in terms of the personality traits.</p>
    </sec>
    <sec id="sec-2">
      <title>We infer the pattern in team building. We demonstrate that these characteristics are useful to improve the quality of group recommendations.</title>
      <p>
        RELATED WORK
Personality has been successfully applied to improve
decision making in di erent areas, such as tourism [
        <xref ref-type="bibr" rid="ref14 ref2">2, 14</xref>
        ],
trading [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], career [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], etc. For example, the analysis on
economics behaviors by Ertac, et, al. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] helps us
understand the role of personality in group decisions.
Particularly, they found that openness, agreeableness and
conscientiousness are the major three personality traits
that can a ect the group decisions by distinguishing the
user roles as leaders and non-leaders. Furthermore, the
personality traits are found to be useful in recommender
systems, e.g., Delic, et, al. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] observe signi cant patterns
in user behaviors based on the personality traits which
can improve the group recommender systems.
In educational learning, personality has been proved to
be in uential. Komarraju, et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] identify the impact
of personality on the academic achievements, such as
GPA. Vedel, [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] focuses more on the group di erences
across academic majors. However, there are limited work
that explore the impact of personality on individual and
group decision making in the learning environment.
In this paper, we are particularly interested in
distinguishing the follower and dominators. Dominator(s) is
de ned as one or more members in a group who could
be the decision leaders. By contrast, follower(s) can be
viewed as the member who may yield to the group
decisions. The notions are inspired by Recio-Garcia, et
al. [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. They propose ve di erent modes for responding
to con ict situations { competing, collaborating,
avoiding, accommodating and compromising. The
dominator in our paper is the user role in the competing mode,
while the follower represents the user role in the
compromising mode. However, their work relies on the
ThomasKilmann Con ict Mode Instrument (TKI) test. The
subjects are required to take the test in order to be classi ed
into these ve modes. In our paper, we ignore the TKI
test and try to distinguish the dominator and followers
by the rating characteristics in the data.
      </p>
      <p>
        ITMLEARNING PLATFORM
The impact of personality on individual and group
decisions is under investigation in the area of educational
learning. But unfortunately, there are no available
data sets for public research in this domain. Even in the
general area of group recommendations, most of the
research may use the MovieLens data { the evaluation is
usually based on the simulated groups. In this case, we
start collecting our own data for the research purpose.
ITMLearning platform is built for the department of
information technology and management (ITM) at the
Illinois Institute of Technology in USA. The platform is a
technology-enhanced learning system which aims to: a)
suggesting appropriate learning materials (e.g., books,
articles, tutorials, videos); b) recommending job
positions; c) assisting instructors in the teaching.
One of the ongoing projects from this platform is
collecting students' preferences on the topics of the projects in
order to better support learning and assist teaching [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ].
We start from three courses (i.e., database, data mining
and data analytics) which require students to complete a
project as the nal evaluations. Students have their own
choice to select a topic for the project, and each student
can complete the project by himself/herself or by a team
work. We ask student volunteers to complete the
questionnaires, in order to collect the subjects' personality
traits and their preferences on the topics of the projects.
More speci cally, the questionnaires are designed to
collect both individual and group tastes:
      </p>
      <p>Topics of The Projects: First of all, we provide
a list of potential topics for each course respectively.
Take data analytics course for example, we provide
the information about 50 data sets that are available
on Kaggle.com. Students should select one of them,
de ne the research problems, and gure out solutions
by using the data analytics skills.</p>
      <p>Collection of Individual Preferences: At the
beginning, each student is required to ll the
questionnaire by himself or herself. Each subject should select
at least three liked and disliked topics of the projects,
and provide an overall rating to them. In addition,
they are asked to rate each selected project on three
criteria: how interesting the application area is (i.e.,
App), how convenient the data processing will be (i.e.,
Data), how easy the whole project is (i.e., Ease). The
rating scale is from 1 to 5.</p>
      <sec id="sec-2-1">
        <title>Collection of Group Preferences: Finally, each</title>
        <p>
          student has to decide whether they will complete the
project individually. For the team work, they need
to nd partners and build the team by themselves.
Each team will ll the same questionnaire from the
perspective of a team based on the group discussions.
In addition to these preference data, we collect
demographic (e.g., age, gender, marriage status, home
country) information and personality traits of each
student. We choose the Big Five Factor (Big5) [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] which is
the most popular framework to represent the personality
traits. In the Big5 framework, the personality traits can
be described by ve dimensions [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]: Openness (O) is
reected in a strong intellectual curiosity and a preference
for novelty and variety. Conscientiousness (C) is
exempli ed by being disciplined, organized, and
achievementoriented. Extraversion (E) is displayed through a higher
degree of sociability, assertiveness, and talkativeness.
Agreeableness (A) refers to being helpful, cooperative and
sympathetic towards others. Neuroticism (N) indicates
the degree of emotional stability, impulse control, and
anxiety. To collect the Big5 traits, we use the well-known
Ten-Item Personality Inventory (TIPI) [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
        <p>The full questionnaire includes the ten statements that
are listed below, and the subjects are asked to give a
rating in scale 1 (strongly disagree) to 7 (strongly agree)
to each of them.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>I see myself as extraverted, enthusiastic.</title>
    </sec>
    <sec id="sec-4">
      <title>I see myself as critical, quarrelsome.</title>
    </sec>
    <sec id="sec-5">
      <title>I see myself as dependable, self-disciplined.</title>
    </sec>
    <sec id="sec-6">
      <title>I see myself as anxious, easily upset.</title>
    </sec>
    <sec id="sec-7">
      <title>I see myself as open to new experiences, complex.</title>
    </sec>
    <sec id="sec-8">
      <title>I see myself as reserved, quiet.</title>
    </sec>
    <sec id="sec-9">
      <title>I see myself as sympathetic, warm.</title>
    </sec>
    <sec id="sec-10">
      <title>I see myself as disorganized, careless.</title>
    </sec>
    <sec id="sec-11">
      <title>I see myself as calm, emotionally stable.</title>
    </sec>
    <sec id="sec-12">
      <title>I see myself as conventional, uncreative.</title>
      <p>At this moment, we have collected data for a full year
{ we obtain a data set with 194 individuals and 122
groups. 81 out of 122 groups are composed of more
than one members. More speci cally, 60% of these 81
groups are composed of two members, and the
remaining groups are composed of three or four members. The
individuals leave 1951 ratings on the topics of projects,
while the groups leave 745 ratings in total. In
addition to the overall ratings, we collect their ratings on
three criteria as introduced above. For the purpose of
personalization, this data is available for traditional
recommender systems (i.e., recommendations for
individuals), group recommender systems (i.e., recommendations
for each group), and multi-criteria recommender
systems (i.e., recommendations based on multi-criteria decision
making), as well as context-aware recommendations (i.e.,
semester, year, course can be viewed as the context
information). The project is still ongoing and we expect
to collect more data gradually.</p>
      <p>ANALYSIS AND DISCUSSIONS
Personality Traits by Gender
In our data, 42% of the subjects are female. We'd like to
explore whether there is a signi cant di erence in their
personality traits in comparison with males. Table 1
presents the mean and standard deviation (SD) of the
scores in the Big5 factors for the overall, male and female
individuals respectively.
In addition, we also observe that the standard
deviations in neuroticism and extraversion are signi cantly
larger than other personality factors. The two-independent
sample hypothesis tests reveal that the di erence on
conscientiousness and agreeableness between males and
females are signi cant at the 95% con dence level.
Team Building
We further analyze the 81 groups which are composed of
at least two members. Students actually nd their own
partners and build the team without intervention by the
instructors. We are pretty interested in how they build
a team or what are the most important criteria for them
to select partners. More speci cally, we try to measure
the intra-group similarities.</p>
      <p>First of all, each subject can be represented by the Big5
vector. Cosine similarity, as shown by Equation 1, can
be used to produce the similarity between two subjects
Ua and Ub in a same team. The vectors V!a and !Vb are
the Big5 vectors for Ua and Ub respectively. We obtain
similarity values of each pair of the subjects in a team,
and the mean similarity is viewed as the intra-group
similarity.</p>
      <p>Sim(Ua; Ub) =
! !</p>
      <p>Va Vb
!
jjVajj2</p>
      <p>!
jjVbjj2
(1)</p>
      <p>Furthermore, each subject is required to provide the
individual preferences (i.e., user ratings) on the topics of
the projects. Alternatively, we can represent each
subject by his or her rating vector. The rating vector can be
lled by the overall rating or the multi-criteria ratings on
app, data and ease respectively. In other words, V!a and
!Vb could be rating vectors based on the overall rating
or the multi-criteria ratings. The similarity between two
subjects can be obtained by the Equation 1 accordingly.
As a result, we are able to produce the intra-group
similarities by representing a user as the Big5 vector or a
rating vector. We further analyze the distribution of these
intra-group similarities, and visualize them as box plots
in Figure 1. It is clear that the intra-group similarity is
signi cantly higher by the representations based on the
Big5 factors than the ones based on user's rating
vectors. It implies that the subjects prefer to nd the team
members by the personality traits, even if their tastes on
the projects may be di erent. The average intra-group
similarity based on the rating vectors is actually below
0.5, which is surprising.</p>
      <p>Distinguish Dominators and Followers
It has been recognized that personality can a ect group
decisions. Our goal is to nd out distinct individuals
who react di erently in group decisions. More speci
cally, we de ne dominator(s) as one or more members
in a group who are the decision leaders, and follower(s)
as the member who may yield to group decisions. We
try to these two user roles from the perspective of
usergroup similarities and user-group con icts which can be
further discussed as follows. Also note that our following
analysis is based on the 81 groups which is composed of
at least two team members.</p>
      <sec id="sec-12-1">
        <title>By User-Group Similarities</title>
        <p>We have both individual and group preferences on the
topics of the projects. Each individual and group can
be represented by the rating vectors. In this analysis,
we focus on the overall rating only and ignore the
multicriteria ratings for simplicity. The similarity between a
group and an individual in the group can be computed by
the cosine similarity of the representations based on the
Agreeableness*</p>
        <p>Extraversion
rating vectors. If this similarity value is relatively low,
it implies that this subject yields to the group decisions.
Subjects with higher user-group similarity can be viewed
as the \dominator", while the subjects with user-group
similarity smaller than a threshold can be the \follower".</p>
      </sec>
    </sec>
    <sec id="sec-13">
      <title>We have two strategies to de ne the thresholds: We can use the average value of the user-group similarities as a single threshold. The subjects will be split into dominators and followers.</title>
      <p>Or, we will set two thresholds. For example, we obtain
the 1st and 3rd quartile of the user-group similarities.
The subjects with user-group similarity larger than 3rd
quartile will be viewed as dominators, while the users
with user-group similarity smaller than 1st quartile
will be considered as the followers.</p>
      <p>We found that the second way was better, therefore we
only present these results in the following sections.
Afterwards, we computer the mean Big5 vector for the
subjects as dominators and followers which can be
depicted by the radar chart as shown in Figure 2. We
use \Global" to represent the mean Big5 vector of
all the subjects. The \*" denotes a signi cant di erence
(two-independent sample test at 95% con dence level)
in a speci c personality trait between dominators and
followers. We can observe that the signi cant di erence
only shows up in agreeableness, while dominators
actually have larger degree of agreeableness. It sounds
surprising to us, since we expect the followers may yield
to the group decisions and they should present relative
larger degree of agreeableness.</p>
      <p>
        After a further investigation, we realize that the cosine
similarity based on the rating vectors relies on the
number of co-ratings by a team and an individual in the team
{ the similarity may be not reliable if the number of
corated items is limited. In our data, the average value of
co-ratings by the teams and the team members is 3.33
with standard deviation 2.45. We believe the results in
Figure 2 are not reliable due to the limited number of
co-ratings between a team and team member.
We gure out a way to alleviate this problem. More
speci cally, we blend user ratings and group ratings
together, while each group is viewed as a special user. We
utilize a matrix factorization model based on this rating
matrix to nd the best model which can minimize the
squared prediction errors in the ratings. Finally, each
user and each group can be represented by a latent vector
which is learned by the matrix factorization model. The
user-group similarity, therefore, can be calculated by the
cosine similarity of two latent factors. In our work, we
use the biased matrix factorization [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] as the algorithm,
and assign 10 latent factors so that each user and group
will be represented by a vector with size 10.
      </p>
      <p>Figure 3 presents new comparisons of the BIG5 traits.
The dominators and followers are identi ed based on the
same method as mentioned above, where we represent a
team and a team member as the latent vectors learned
based on the matrix factorization model. We can observe
that there are signi cant di erences between dominators
and followers in openness, agreeableness and
extraversion based on the two-independent sample test at 95%
con dence level. More speci cally, dominators present
higher values in the openness and extraversion, while the
agreeableness value is relatively higher in the followers
who may yield to the group decision. It is not surprising
to see that a dominator could be more extraverted since
he or she may be a talkative, con dent and assertive
person. In terms of the openness, one explanation could be
that dominator is usually the rst person to start the
discussions in a team, and they may produce novel ideas
and lead the group decisions. By contrast, the
followers present larger degree of the agreeableness, which may
infer that they tend to accept the group decisions even
if they have di erent opinions.</p>
      <sec id="sec-13-1">
        <title>By User-Group Con icts</title>
        <p>
          Alternatively, we can distinguish dominators and
followers based on the notion of \con icts". Recio-Garcia, et
al. [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] summarized ve di erent modes for responding to
con ict situations in their work { competing,
collaborating, avoiding, accommodating and compromising. The
dominator in our paper is in the competing mode, while
the follower is in the compromising mode. However,
the work by [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] relies on the Thomas-Kilmann Con ict
Mode Instrument (TKI) test. In our work, we try to
gure out another way to de ne the con icts and avoid
additional human e orts in the TKI test.
        </p>
        <p>More speci cally, we de ne con ict as either the false
positive or the false negative case. A \false positive"
case can be described as the situation that a subject
presents positive preference on one item, but his or her
group nally made a negative decision on the same item.
Accordingly, the scenario that being positive on one item
by group decision but negative by a team member will
result in a \false negative" case. In our experiment, we
use a rating threshold to de ne whether it is positive or
negative. More speci cally, it is positive when individual
or group rating on one project is larger than 3. We
compute the total number of con icts (including both false
positive and false negative cases) for each team member
in a team. We nd out that only 22.5% of the subjects
present the con icts in our data.</p>
        <p>Accordingly, we obtain the mean, 1st and 3rd quartile
of the number of con icts, and set the threshold to
distinguish the followers and dominators. The process is
similar to the one we used to identify di erent user roles
by using the user-group similarities { we can use a
single threshold or two thresholds. In our experiments,
we nally use the mean value of the number of con icts
as the threshold to split the subjects to dominators and
followers.</p>
        <p>The sparsity problem is involved again since the number
of co-ratings by a team and a team member is limited.
We use matrix factorization model to make
predictions on the unknown ratings for both subjects and teams.
As a result, 97% of the subjects present the con
icting behaviors. We use the single threshold to separate
the subjects to dominators and followers, while the
comparison in BIG5 can be depicted by Figure 4. We can
observe that the statistical signi cance only presents in
the agreeableness, while the followers usually have higher
values in agreeableness.</p>
      </sec>
      <sec id="sec-13-2">
        <title>Summary</title>
        <p>We try to distinguish the dominators and followers in
the group decision making by two proposed approaches
{ one is by the similarity between the team and its team
members, another one is by the con icts between
individual and group preferences. We nd that openness,
agreeableness and extraversion are the three in uential
factors to recognize the dominator and followers by using
the user-group similarities. By contrast, agreeableness is
the only crucial factor we nd by using the method based
on the con icts.</p>
        <p>
          Some previous research have also identi ed the
important personality traits in the group decisions. For
example, Ertac, et, al. [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] tried to distinguish users as leaders
and non-leaders, and they found that openness,
agreeableness and conscientiousness are the three major
personality traits which a ect the group decisions. But the
openness only takes e ect if the person is a leader. Our
ndings are basically consistent with Ertac's work.
Neuroticism is also pointed out as a key factor by [
          <xref ref-type="bibr" rid="ref1 ref4">1, 4</xref>
          ]. But
we did not con rm its importance in our data.
RECOMMENDATIONS
Once we identify the dominators and followers, we
further exploit whether and how these ndings are
helpful in producing the group recommendations. There are
515 ratings associated with the 81 groups which are
composed of at least two team members. We conduct a 5-fold
cross validation based on these ratings { we split the 515
ratings into 5-folds. For each round evaluation, we
select one of the ve folds as the testing sets, the remaining
four folds plus the data of individual ratings, information
about group members and the user's BIG5 traits will be
considered as the corresponding training set. We
simply examine the recommendation performance by rating
predictions and use mean absolute error (MAE) as the
evaluation metric. The rating prediction for a group g
on an item t is represented by P (g; t). We adopt the
following strategy in the group recommendations:
Average (AVG): P (g; t) is the average predicted rating
by all of the team members on the same item t.
One user choice (ONE): P (g; t) is equivalent to the
preference by the dominator on the item t. If there
are more than one dominators, we use their average
rating predictions 1. We set up a baseline setting for
the ONE method { assuming that we do not know the
dominators, P (g; t) will be the preference by a random
team member on the item t.
        </p>
        <p>Least misery (LM): It is used to minimize the misery
for the group members. P (g; t) is the minimal
predicted rating by the team members.</p>
        <p>
          Most pleasure (MP): It tries to maximize the
happiness or pleasure for the group members. P (g; t) is the
maximal predicted rating by the team members.
For the purpose of rating predictions, we use the biased
matrix factorization [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] as the recommendation model.
Recall that we gure out two ways to identify the
dominators and followers, we nally adopt the ones shown
1Note that this does not happen in our experiments.
by Figure 3 and 4 { we simply name them as \By
Similarity" and \By Con icts" in the following
discussions. To take advantage of the identi ed dominators and
followers, we simply ignore the contributions by the
followers when we execute the four recommendation
strategies mentioned above. Take the AVG recommendation
method for example, we will ignore the ratings by the
identi ed followers when we try to calculate the average
value of the member's rating predictions. Similar
operations can be applied to other recommendation strategies,
while the ONE method will not be a ected, since there
are no followers involved. Additionally, we add another
simple baseline { matrix factorization (MF) based on the
ratings given by the teams only without considering any
dominators or followers.
        </p>
      </sec>
    </sec>
    <sec id="sec-14">
      <title>Baseline By Similarities By Con icts</title>
      <p>The recommendation performance based on the MAE
metric can be presented in Table above. We can
observe that the AVG method is the best one among all of
the baseline approaches. By incorporating the identi ed
dominators and followers, the method by user-group
similarities can o er signi cant improvement for the AVG
and MP strategies. The method by con icts obtains
improvements for the AVG method only. Note that the
signi cance test was examined at the 90% con dence level.
Unfortunately, there are no signi cant improvements at
the 95% level, and the improvement is relatively small.
Furthermore, the method by user-group similarities
presents signi cant improvements in MP rather than
LM. It implies that the followers may leave false
positive contributions to the group decisions in our data. It
is because the performance can be improved if we ignore
the followers in the MP method.</p>
      <p>CONCLUSIONS &amp; FUTURE WORK
In this paper, we try to distinguish the dominators and
follows in group decision making by using user-group
similarities and con icts. We further take advantage of
the identi ed dominators and followers in di erent group
recommendation strategies. And we nd that we are able
to obtain signi cant improvements by ignoring the
followers in the group recommendations. Furthermore, we
nd that students with similar personality tend to work
together in our data.</p>
      <p>
        This paper presents our initial work, while there are
plenty work to do. For example, the identi cation method
by using user-group con icts relies on the user ratings.
However, user bias should be taken into account in the
process to de ne the false positive and false negative
cases. The approach by user-group similarities is dependent
with the recommendation algorithms, since we use the
algorithm to ll in the unknown ratings. We will further
explore the corresponding solutions in the future.
Furthermore, we evaluate the recommendation performance
based on simple group recommendation strategies, but
there are several advanced work which can directly
incorporate personality in the group recommenders, such
as the work by [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. We will gure out how to
incorporate the identi ed dominators and followers into these
advanced group recommendation models.
      </p>
    </sec>
  </body>
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