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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Assessment of Features of Cognitive Functions and the Social Sphere of Children and Adolescents Using Data Analysis Methods</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexey I. Molodchnekov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leyla S. Namazova-Baranova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Georgy A. Kar- kashadze</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Central Clinical Hospital of RAS</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Federal research center “Computer science and Control” of RAS</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Peoples friendship University (RUDN)</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>253</fpage>
      <lpage>262</lpage>
      <abstract>
        <p>The paper describes the results of the analysis of population studies among schoolchildren to assess their cognitive functions. The object of research was the cognitive, social, and other characteristics of children and adolescents. Methods of machine learning and statistics were used for data analysis. As a result, dependencies between the social and cognitive parameters of children and school performance were identified.</p>
      </abstract>
      <kwd-group>
        <kwd>artificial intelligence</kwd>
        <kwd>machine learning</kwd>
        <kwd>cognitive</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Studies aimed to find relationships between the processes of various areas of mental
activity (cognitive, emotional -personal and social) in children and identifying
predictors of successful or not successful social functioning are an actual area of modern
neuroscience. For example, a study of 366 children under 10 in Italy showed that
nonverbal intelligence was statistically associated with the ability to recognize
emotions in 3 phases of development. The use of this model showed a significant effect of
the cognitive aspect on the reflexive phase [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. A study by Chinese scientists showed
that the emotional understanding of words completely in children completely
mediated the effect of age on empathy [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. American scientists have studied early
personality and environmental predictors of the development of empathy in young children, as
well as the relationship of empathy to prosocial behavior with peers at a later age. The
results suggest that both parental and personality characteristics are related to the
development of empathy in early childhood and may contribute to the later prosocial
behavior of children with peers [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        However, population studies on this issue are relatively small and usually focus on
the connection of two or three indicators, for example: the relationship between social
perception tasks and language tests [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], the relationship of emotional intelligence with
traditional violence and cyber violence [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], the connection between childhood stresses
and personality disorders [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] or the relationship of behavioral problems with motor
and intellectual disorders [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] - that is, they are narrowly targeted. Other population
studies include a larger number of psyche analysis points, but solely for assessing
other factors, and not for analyzing intrasystemic relationships and dependencies, for
example: using indicators of cognitive abilities, perception of emotions and social
behavior to confirm the constructiveness and validity of the emotional intelligence
assessment test in Great Britain [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]; assessment of cognitive abilities and mental
health of a population of children from closely related marriages in India [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]; genetic
influence on the relationship between simultaneously measured intelligence and
academic performance in childhood in representative cohorts from England and the
Netherlands [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>This article presents the results of an assessment of population-based studies of the
cognitive functions of children 11 and 15 years old in several regions of Russia. To
analyze the data obtained, methods of machine learning and statistical data analysis
were used.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Assessment of Population-Based Studies</title>
      <p>As part of the RFBR project, a population-based study of the cognitive functions of
children and adolescents aged 11 and 15 was conducted. The following cognitive
features of children were assessed using special methods: "The volume of short-term
auditory-speech memory", "Visual-figurative thinking", "Verbal-logical thinking",
"Constructive praxis", "Percentage of correct answers according to Mnemotest",
"Average number errors by Mnemotest", "Attention to the arrangement of numbers", "The
amount of delayed auditory-speech memory". In addition to these indicators, the
following were assessed: duration of sleep, time of falling asleep, headaches, time spent
at the computer, playing sports and others. All participants underwent: cognitive
testing, psychological examination, examinations of a neurologist, pediatrician, allergist,
ENT, ophthalmologist, orthopedist, ultrasound of the abdominal cavity, urinary
system, thyroid gland, ECG, spirometry and laboratory examination. The study involved
more than two thousand people from several regions of Russia. There were 1000
children are 11 years old and 1012 children are 15 years old. As a result, more than 20
different parameters were collected for each subject. The following tasks were set:
1. check how many groups students can be divided by their cognitive functions;
2. evaluate the degree of influence of different cognitive indicators on the
division into groups;
3. check the relationships between different groups of indicators in each group.
To solve the tasks, the following methods were successively applied:
1. clustering of data obtained from the results of testing the cognitive functions
of children;
2. the use of classification algorithms to identify cognitive traits that affect the
breakdown into classes;
3. the use of classification algorithms to identify non-cognitive signs that affect
the assignment of a child to a particular class;
The use of regression analysis to identify the relationships between different
parameters of groups (cognitive activity, emotional and personal
characteristics and indicators of socialization of schoolchildren) of children and their
breakdown into groups.
2.1</p>
      <sec id="sec-2-1">
        <title>Data Clustering</title>
        <p>Clustering was carried out only on the base of the results of cognitive research.
Clustering was evaluated in two ways.</p>
        <p>The first was to review the results of clustering by experts. These results showed
that in both clusters there are children who can be very well attributed to one of the
classes, and there are children who are in the border zone. This is due to the fact that
in some indicators children have good results, in others it is worse. You can see it on
figure 9. Moreover, the indicators themselves are completely different.</p>
        <p>
          To select the number of clusters and assess the quality of clustering, a silhouette
coefficient was used [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. To cluster children, the k-means algorithm was used. The
figures 1-8 below show the values of this coefficient for a group of 15-year-old and
11-year-old children, for the number of clusters from 2 to 5.
        </p>
        <p>It can be seen that it takes the highest value for two clusters, i.e. this group of
children is best divided into two classes.</p>
        <p>Results for 11-year-old children group are shown bellow.</p>
        <p>Fig. 5. Silhouette analysis for 2 clusters in 11-year-old children group.</p>
        <p>Fig. 6. Silhouette analysis for 3 clusters in 11-year-old children group.</p>
        <p>Fig. 7. Silhouette analysis for 4 clusters in 11-year-old children group.</p>
        <p>Fig. 8. Silhouette analysis for 5 clusters in 11-year-old children group.</p>
        <p>257</p>
        <p>Clustering based on the results of testing cognitive functions made it possible to
distinguish two clusters in each age group. Figure 9 shows the location of objects of
each class in two-dimensional space, 15-year-olds on the left, 11-year-olds on the
right. The TSNE algorithm was used to reduce the size of the vectors.</p>
        <p>The first cluster (shown in blue in the figure and indicated by the number 0) was
characterized by higher cognitive indicators, primarily in terms of constructive praxis
and verbal-logical thinking. The second cluster (shown in red in the figure and
indicated by the number 1) was associated with lower cognitive parameters, also for the
most part in constructive praxis and verbal-logical thinking.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Get the Most Important Features for Children Assigning to the Classes</title>
        <p>To identify the features that make the greatest contribution to dividing children into
classes, the following classification algorithms were used: random forest and the
support vector method. Using these algorithms, models were constructed for dividing
children into classes separately based on the results of cognitive testing and
noncognitive attributes. The results of assessing the quality of the machine learning
models by the f1-measure are showed in the table 1.
11-year-old
15-year-old</p>
        <p>The use of clustering and classification methods showed that children in both
groups are well divided into two classes according to the results of cognitive studies.
Moreover, for 15-year-olds, the main cognitive indicators for separation are:
“Constructive praxis, accuracy of completing tasks%”, “Verbal-logical thinking, accuracy
of completing tasks%”, “Mnemotest,% of correct answers”. For 11-year-olds:
“Constructive praxis, accuracy of completing tasks%”, “Constructive praxis - average time
for completing tasks, points” “Verbal-logical thinking, accuracy of completing
tasks%”. In addition to these signs, non-cognitive signs were identified that allow
children to be divided into classes. Among these indicators, the most significant were:
Sleep time, lessons with tutors, lessons, football, hockey, equestrian sports, time spent
on computer games and some others.
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>Assessment of the Relationships Between Features of Different Groups</title>
        <p>To identify the relationships between groups of features among themselves,
methods of statistical analysis were used. Correlation matrices were built, on the basis of
which the relationships and dependencies between the signs were identified. To
construct the matrices, the Pearson correlation coefficient (r) was used.</p>
        <p>First of all, an analysis of the compatibility of features among the participants was
carried out. The goal was to determine how certain social and personal features are
grouped in the examined population. Such a grouping can make it possible to divide
the population into different socio-cultural, socio-personal typologies. As a result,
also some identified combinations of features can be considered as certain
sociocultural markers. Especially this can concern those socio-cultural features that cannot
be directly formulated in the questionnaire, for example, the material situation of the
family, or the level of family attention to extracurricular needs of children. However,
only the high compatibility of these signs could reliably confirm their suitability as
markers of the material situation of the family.</p>
        <p>At the first stage, we separately analyzed the compatibility of various sports and
various hobbies. For both age groups, a very high correlation is established between
tennis and hockey (r = 0.810 for 15-year olds). Moreover, it is maximum and even
exceeds the compatibility of such similar species as roller-skating and ice-skating.
Such a result requires a search for features that combine tennis and ice hockey. These
sports vary in seasonality and nature (team and non-team playing sports).</p>
        <p>The next step was to divide all the features into groups according to the proximity
of the correlation value relative to each other and other parameters (clustering of
features). The results demonstrate the grouping of sports, most pronounced in 15 year
olds, according to which three clusters can be distinguished. The first cluster is
rollerskating, ice-skating, and classic skiing, adjacent to them are skateboarding, downhill
skiing and table tennis. The second cluster consists of: football, basketball and
volleyball, which adjoins a bunch of tennis, hockey. It is easy to see that all these are
playing sports, with the overwhelming majority being team sports. The third cluster is
represented by martial arts, equestrian sports and swimming. These are a variety of
individual sports. The identification of three clusters, which are so clearly
distinguished by the nature of sports activity, indicates regular differences in the basic
psycho-emotional characteristics of the participants, otherwise such a clustering would be
impossible. This allows us to consider three clusters (conditionally “skating”,
“gamers” and “individuals”), as marking the different sports psychotype of the participants.
Thus, behind each of the established sports psychotypes are certain emotional and
characterological components of the emerging personality. In this regard, further
analysis will be of particular interest, how these sports psychotypes will differ in
cognitive, somatic and other social and personal parameters.</p>
        <p>Interestingly, a similar, but more diffuse, clusterization was observed for 11 year
olds. They distinguished not three, but two clusters: "game types" and "speed
skating." Individual sports were evenly scattered around the edges of these two clusters.
That is, we can say that at the age of 11, the division into sports psychotypes is
already present, but more generalized, and in the future by the age of 15 it becomes
more pronounced. This confirms that this clustering is based on the characteristics of
the emerging personality, which, as is well known, as they grow older, they form
from fragments into integral forms.</p>
        <p>A similar algorithm was used to analyze the compatibility of various non-sports
hobbies. Strong ties in the compatibility of various hobbies were not revealed in any
of the age groups. Eleven-year-olds see a gradation in groups of combinations: 1)
music, dance, an art school - conditionally a group of art; 2) robotics, modeling -
conditionally a group of technicians; 3) computer programming, photo and video
equipment - a conditionally digital group. At 15 year olds, the grouping is changing. Two
clusters are clearly distinguished, and they are not identical in composition to
11-yearolds: now robotics is grouped with computer programming, and photo and video
technology is grouped with modeling. The latter group is attracted by music and less
obviously dancing.</p>
        <p>Next, an analysis was made of the compatibility of the social signs, but not of the
emotional-personal ones, since the relationship between social and
emotionalpersonal manifestations is the subject of a separate analysis. For estimation, we used
the calculation of the Pearson correlation coefficient (r). A value from 0.5 to 1 was
estimated as a strong bond, from 0.2 to 0.5 - as a moderately strong bond, from 0.2 to
-0.2 - as a lack of bond, from -0.2 to -1 - as a negative bond.</p>
        <p>First of all, it should be noted that there is a strong connection between computer
games playing on weekends and school days (r = from 0.703 to 0.280 for 4 different
amounts of time): those who plays more time on weekends they also play more time
on school days - and vice versa. This indicates that increased gaming interest is not
subject to substantial regulation - there are very few situations where there are few
games on school days and a lot on weekends.</p>
        <p>A relationship was found between the amount of time devoted to computer games
and the use of the Internet for non-gaming purposes (r = from 0.421 to 0.208 for 5
different volumes of time). It is maximally expressed for adolescents who devote up
to 1 hour to games and the Internet on school days. This suggests that the enthusiasm
for computer games and the use of the Internet by adolescents are interrelated
phenomena.</p>
        <p>Passion for computer games is associated with a lack of sports interests. Teenagers
who spend 3 to 4 hours and more than 4 hours on computer games on weekends, as
well as more than 3 hours on school days, do not engage in any sports regularly (r =
0.430; 0.325; 0.239). Interestingly, children who play sports regularly at the section
level find a twofold connection with computer games on weekends: a moderately
strong connection with a lack of enthusiasm for computer games (r = 0.346), as well
as a moderately strong connection with computer games from 2 to 3 hours in days off
(r = 0.349) - it is possible that these can be sports simulators. Teenagers who are fond
of sports at the level of domestic / street competitions are often associated with
computer games on weekends from 1 to 2 hours (r = 0.462). In general, these data indicate
that sports enthusiasm does not exclude enthusiasm for computer games. But a strong
passion for computer games is poorly combined with sports activities. Also partly a
strong passion for sports is not compatible with computer games in general.</p>
        <p>Adolescents who do not play sports regularly also do not get involved in summer
tourism with a sports orientation (r = 0.255), which is logical. In turn, those who are
not fond of sports tourism do not attend any summer camps (r = 0.335). Apparently,
in this case we are talking about a certain typology of an individual character and
family structure. A moderate positive relationship between the passion for music and
skiing (r = 0.206) is shown, which is a very interesting fact for further interpretations.</p>
        <p>It was found that the time to fall asleep, up to 10pm, is moderately strongly
associated with the duration of sleep from 8 to 9 hours (r = 0.241), while the time later to
fall asleep, after 11pm, was associated with a short sleep less than 8 hours (r = 0.397).</p>
        <p>A direct relationship between the level of cognitive functions and success in school
education in mathematics, literature and the Russian language is revealed. According
to the results, it was found that higher cognitive parameters are more common in
children who sleep more than 8 hours, have non-sporting passions, and ski. Lower
cognitive parameters are more common in children who have smoking experience, play
sports at the section level, engage in dancing, hockey, and martial arts. No
connections were found between the level of cognitive functions and classes with tutors,
most unsportsmanlike and sporting hobbies, visiting summer camps, the volume of
computer games on weekends, and the time of falling asleep at night.</p>
        <p>It was established that success in schooling positively correlates with a duration of
sleep of more than 8 hours, unsportsmanlike hobbies, skiing. At the same time,
success in schooling is negatively correlated with smoking experience, sports at the
section level, dancing and hockey.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Conclusion</title>
      <p>The article describes the results of population studies. Models are built for dividing
children into classes according to their level of cognitive function. The cognitive
characteristics that make the greatest contribution when dividing students into classes
are determined. The relationships between different groups of characteristics of
children in these classes are revealed. The research results show the contribution of
somatic and social factors to the formation of children's mental health and the success of
their education.</p>
      <p>The reported study was funded by the Russian Foundation for Basic Research
(project No. 17-29-02501 ofi_m).</p>
    </sec>
  </body>
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