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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>ORCID:</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Modeling the Process of Analysis of Statistical Characteristics of Student Digital Text</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Tetiana Shestakevych</string-name>
          <email>Tetiana.v.shestakevych@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>12, S. Bandert Street, Lviv, 79000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>The study of student digital texts, generated during distance learning is an urgent scientific and practical task, which involves specialists in various fields, i.e. linguistics, psychology, computer science, etc. The development of distance learning management systems provides researchers and teachers with a tool that simplifies such study. For students of related specialties, participation in the study of their digital texts allows witnessing the diversity of applied study, organized at the intersection of different disciplines. Statistical analysis of the text in combination with the psychological assessment of the speaker identifies ways to find relationships between the relative performance of digital text and the characteristics of the student. It is expedient to use the found dependencies for the personification of pedagogical work with students. Statistical text analysis, text mining, multidisciplinarity, applied linguistics, thematic COLINS-2021: 5th International Conference on Computational Linguistics and Intelligent Systems, April 22-23, 2021, Kharkiv, Ukraine</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>apperceptive test, TAT, digital text</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>The digital text will be text in the digital format produced by students, such as answers to open test
questions, essays, and so on. As the share of digital broadcasting has increased significantly since 2020,
digital text production has become a common activity. Distance learning is no longer an option but a
must. The process of researching digital texts has a powerful set of objects of analysis, and the volume
of digital texts is constantly growing. The use of information technology for digital text analysis is an
urgent task, in the results of such analysis are interested in economics [1, 2], fashion industry [3]
psychologists [4], linguists [5], physicians [6], sociologists [7]. Educators can also benefit from the
analysis of digital text produced by students. And not just to determine the level of borrowing in the
text or to establish the authorship of the work. Additional benefits of digital text analysis can be obtained
in collaboration with experts in other fields. This study will consider approaches to improving the
learning process of students based on the analysis of data extracted from digital text, using data analysis
methods involving, inter alia, elements of psychological diagnosis.</p>
    </sec>
    <sec id="sec-3">
      <title>2. State of Art</title>
      <p>The study of texts is an urgent task for the needs of various related fields. The relationship between
foreign investment and economic growth was investigated using a text mining approach in [8].
Wellbeing was investigated via text mining of literature connected with food security [9]. Public opinion on
COVID-19 was investigated using text mining in sentiment analysis [7]. The text-based opinion mining
technique was used to evaluate the movie and TV show reputation [10], and airlines - based on online
reviews [11]. The topic mining analysis, conducted to evaluate the impact of Social Project fostering,</p>
      <p>2021 Copyright for this paper by its authors.
was conducted by authors in [12]. Trends forecasting based on news mining was used to predict
financial changes in Brazilian Market [13]. In [14], the authors investigated the change in time of
relevance of research areas in operations research. To effectively collect and classify information, in
[15] authors suggested a method based on text mining. An approach to researches in healthcare
management and mental health using text mining was suggested in [4]. The analysis of texts written by
students was conducted by researchers [16-18].</p>
      <p>A study to establish a statistical portrait of a student's digital text is an interesting and urgent task,
in particular, because of the possibility of further application of study results not only in linguistics and
computer science but also in pedagogy. Moreover, the organization and conduct of such a
multidisciplinary study will enable students to trace the relationships between the disciplines they study,
give an understanding of the possibilities of applying their knowledge, stimulate scientific activity,
encourage compliance with the requirements of academic integrity. The scheme of the study conducted
in this work is given in fig. 1.</p>
      <sec id="sec-3-1">
        <title>Develop an algorithm for studying digital texts of students</title>
      </sec>
      <sec id="sec-3-2">
        <title>To automate such study, use the tools offered by the</title>
      </sec>
      <sec id="sec-3-3">
        <title>IT of education process management</title>
      </sec>
      <sec id="sec-3-4">
        <title>Make a hypotheses of the study, and conduct it</title>
      </sec>
      <sec id="sec-3-5">
        <title>Design possible directions of scientific and practical researches with use of the developed approaches of study of digital texts of students</title>
        <p>The received texts will be pre-processed, then evaluated statistically by calculating absolute and
relative indicators. As such statistical characteristics of the text, one can choose the number of words
and sentences in the text, the average length of the sentence, the number of main parts of speech, etc.
[19]. Based on these and other statistical characteristics, the coefficients that characterize such text, i.e.,
the coefficient of diversity, aggression [20, 21], etc. will be calculated.</p>
        <p>The study hypotheses testing will be performed using methods and tools of data analysis. Based on
the results of such analysis, a decision is made to refute or confirm the hypotheses. The researcher can
also assess the shortcomings that arose in the process of such a study to avoid them in the future or to
modify the research algorithm.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>3. Algorithm for digital text analysis</title>
      <p>Stages of study of the digital text of students are presented by such an algorithm.</p>
      <p>Algorithm for digital text analysis
Step 1. Formulation of the study purpose, formation of study hypotheses.</p>
      <p>Step 2. Selection of stimuli to create a digital text, forming a description of the task.
Step 3. Conducting an independent evaluation of the student.</p>
      <p>Step 4. Statistical processing of the text, application of data analysis methods, determination of the
characteristics important for the achievement of the purpose of the study.</p>
      <p>Step 5. Analysis of study results. Confirmation or refutation of hypotheses. Conclusions on
achieving the goal of the study. Conclusions on the process of organizing the study. End of the
algorithm.</p>
      <p>The described study algorithm was implemented in practice. The study was conducted in
FebruaryMarch 2021, it involved students of the Applied Linguistics department of the National University
"Lviv Polytechnic".</p>
    </sec>
    <sec id="sec-5">
      <title>4. Description of the study</title>
    </sec>
    <sec id="sec-6">
      <title>4.1. The aim of the study. Study hypotheses</title>
      <p>The purpose of the study determines the methods and means of achieving it. The use of methods of
knowledge extraction, which is based on finding hidden patterns, often makes it possible to ensure the
interdisciplinarity of the relevant study. This allows the researcher to go beyond linguistics, to expand
the list of problems solved by applied linguistics. We shall state the purpose of the study to verify that
digital text reflects the specific characteristics of the speaker. The hypothesis of the study is that there
is a relationship between the statistical characteristics of digital text and the psychological
characteristics of the speaker.
4.2.</p>
    </sec>
    <sec id="sec-7">
      <title>Choice of digital stimuli of the study</title>
      <p>The work at the hypothesis is based on the use of methods in the field of psychology and will affect
the whole process of studying the digital text of students. As an example, consider the features of the
use of projective methods of personality assessment, and whether it is possible to find a pattern between
the results of such psychological research and the characteristics of digital text. Establishing such a
relationship will allow an approximate assessment of the psychological state of the person producing
digital text. This can be one of the tools used, for example, when hiring for a job, to monitor the
condition of employees, to determine the psychological state of professionals who are often stressed
(military, police, teachers, etc.).</p>
      <p>Projective methods of psychological research are based on the peculiarities of the functioning of the
human brain when a person in the absence of information tends to interpret phenomena or objects based
on one`s experience and current psychological state. The person gives meaning to ambiguities,
projecting internal conflicts, hidden emotions, and so on. In projective testing, ambiguous drawings,
images, and sometimes optical illusions are often the stimulus for expressing opinions (Figure 2-3).</p>
      <p>Works [22, 23] are devoted to pojective research methods. One of the methods of projective testing
is the Thematic apperception test [24] (TAT), developed in the 1930s by scientists at Harvard
University. Such testing is conducted under the guidance of a psychologist, who shows the participant
several black and white drawings (one of them is in Fig. 2), these drawings show people (human figures)
in casual situations. The research aims to identify the participant with the images, so such images are
selected separately for men and women, children, people prone to suicide or depression, and so on. The
research participant must invent the story illustrated in the corresponding figure. The answers are also
audio recorded to preserve intonation and pauses in speech. On the basis of such research, the
psychologist carries out the symptomatic and syndromological conclusion about a condition of the
research participant.</p>
      <p>To formalize the processes of TAT, it is convenient to use the Petri net (PN1, Fig. 4., Table 1, Table
2). This mathematical abstraction has proven its ability to conveniently visualize the sequence and
parallelism of the tasks of a particular process [25].</p>
      <p>The Petri net PN1=(Р1, Т1, І1, О1) models the process of decision making in choosing additional
functions, where the set of positions Р1={р1.1, р1.2, р1.3, р1.4, р1.5}, the set of transitions Т1={t1.1, t1.2, t1.3};
initial marking μ0 is one chip in position р1.1.</p>
      <p>Positions in the given Petri net can be interpreted as a condition of event occurrence (Table 2).</p>
      <p>From Figure 4 it is convenient to see that the process of drawings describing, it`s audio recording,
the participant's cooperation with the psychologist occur simultaneously. One of the options for
improving the process of TAT is to automate the work of a psychologist [26-29]. It is not about the use
of remote communication technologies, but about changing the focus in the process of forming a
description of the image from speech to text. In this way, the psychologist will be able to obtain an
additional source of data for analysis. However, this will also mean the need for linguists to process the
accumulated data, and this is a task for the psycholinguist. Such a specialist, using psychological and
linguistic research methods, will be able to establish the relationship between the statistical features of
speech and the psychological state of the patient. Researches [30, 31] were aimed at modeling the
workplace of a psycholinguist, taking into account the peculiarities of such an interdisciplinary
profession.</p>
      <p>The first approach to the implementation of the process of establishing mutual correspondences
between the psychological characteristics of the speaker and the statistical characteristics of the digital
text produced by him, which is based on thematic apperceptive testing, is to create an information model
of the process. In this model, we reflect our vision of the process of accumulating digital text from
available sources and using available information technology. Since the results of the study should be
used in education, it is logical to use the appropriate information technology to support learning. This
can be arbitrary IT, which allows you to collect digital texts from participants in the learning process,
as well as record the objective characteristics of the research participant - his age, gender, specialty in
which the student is studying, and so on. Lviv Polytechnic National University uses the Virtual
Learning Environment system on the Moodle platform, and its functionality fully meets the needs of
this study. The teacher has the opportunity to create a task within the course, in such a task the
corresponding picture is loaded and the field for entering the answer online is provided. The student
who completes the task enters a text description and confirms the completion of the task. It is obvious
that the functional capabilities of the Virtual Learning Environment affect the changes in the TAT
process in terms of the accumulation of text examples. It seems logical to model a corresponding
modified process by the same means as the TAT model, emphasizing the common and difference of
such processes (PN2, Fig. 4, Table 1, Table 2). The Petri net PN2=(Р2, Т2, І2, О2) models the process
of decision making in choosing additional functions, where the set of positions Р2={р2.1, р2.2, р2.3, р2.4,
р2.5}, the set of transitions Т2={t2.1, t2.2, t2.3, t2.4, t2.5}; initial marking μ0 is one chip in position р2.1.
4.3.</p>
    </sec>
    <sec id="sec-8">
      <title>Forming a description of the task how to form a digital text</title>
      <p>According to the requirements of TAT, the task to describe the figure is presented as simply as
possible, without going into explanations. In this study, the task was formulated as follows (translated
from Ukrainian):</p>
      <p>Write
contain:
a
story
based
on
a
picture.</p>
      <p>The
story
should</p>
      <sec id="sec-8-1">
        <title>What led to this situation? What is happening right now? What the participants feel and think? What will be the consequence of this situation?</title>
      </sec>
      <sec id="sec-8-2">
        <title>Everything you write is true. Time - up to 10 minutes.</title>
        <p>4.4.</p>
      </sec>
    </sec>
    <sec id="sec-9">
      <title>Conducting an independent evaluation of the speaker</title>
      <p>Students of Lviv Polytechnic National University were involved in the study. The basic
characteristics of the study participants are presented in Table 3.</p>
      <p>In addition to text accumulation, the study of the relationship between the characteristics of the
digital text of the speaker and the assessment of the person involves the presence of the assessment.
The assessment can be or arbitrary characteristics of the person, or objective (gender, age), or made by
an external source (human or automatically calculated, for example, the curator's assessment of student
reliability, student educational performance (high/medium/low), etc.). In the case of examining the
relationship between the characteristics of the digital text of the speaker and, for example, his
psychological state, it involves conducting appropriate psychological research. In the absence of the
opportunity to personally assess each student in the current conditions of quarantine, as psychological
assessments can be used psychological tests that can be taken remotely, including online tests, if these
tests meet the logical requirements:</p>
      <p>• The authors of the questionnaires are recognized experts or the questionnaires published in relevant
sources of information, i.e. textbooks or manuals that have passed professional testing. The
questionnaire has a key.</p>
      <p>• In the case of online testing, the reliability of the author of the development and the site where the
test is located must be unquestionable. The site should provide the ability to view information about the
author of such testing, as well as the availability of feedback.</p>
      <p>In this study, 16 individuals online test was selected for such psychological testing. This online test
was developed by NERIS Analytics Limited, which has been developing personal development
methods and tools since 2013. The company is registered in Cambridge, UK, and has a LinkenIn profile
(https://www.linkedin.com/company/neris-analytics-limited/) and a website
(https://www.16personalities.com/uk). This online test (Fig. 5) is adapted to more than 35 languages,
including Ukrainian, the company provides access to a number of other tests (paid and free).</p>
      <p>Using the tools of the Virtual Learning Environment, students receive a link to the appropriate site,
and in the comments to the task indicate the results of the test, i.e. one of the sixteen individuals that
are formed in four groups (Table 4).</p>
      <p>The capabilities of the "Virtual Learning Environment" allow the teacher to see the main
characteristics of students - participants in the study - the specialty in which students study, the course
of study, gender. These characteristics can also be considered as independent assessments of the study
participant.
4.5.</p>
    </sec>
    <sec id="sec-10">
      <title>Accumulation of results of task performance</title>
      <p>Students were given 20 minutes to complete the task and take the personality type test. The
implementation of the study by means of the Virtual Learning Environment does not involve significant
time loss either for the formation of the task or for its implementation. Fulfillment of such a task by
students now, in the spring of 2021 in such an online environment will not cause concern due to the
inability to use the environment, because for over a year it is the basic means of supporting the
educational processes of the Lviv Polytechnic National University.</p>
      <p>Formal characteristics of the study are given in Table 4.</p>
      <sec id="sec-10-1">
        <title>Analysts (Architects, Logicians, Commanders, Debaters)</title>
      </sec>
      <sec id="sec-10-2">
        <title>Diplomats (Advocates, Mediators, Protagonists, Campaigners)</title>
      </sec>
      <sec id="sec-10-3">
        <title>Sentinels (Logisticians, Defenders, Executives, Consuls)</title>
      </sec>
      <sec id="sec-10-4">
        <title>Explorers (Virtuosos, Adventurers, Entrepreneurs, Entertainers)</title>
        <p>Number of students (% of the
total number of students who
took the test)
6 (12)
22 (42)
16 (31)
8 (15)</p>
        <p>The texts of those students who indicated the results of psychological research were admitted to
further analysis
4.6.</p>
      </sec>
    </sec>
    <sec id="sec-11">
      <title>Statistical processing of the text</title>
      <p>Statistical evaluation of the text can be carried out according to the following absolute
characteristics:
 Number of words in the text
 Number of unique words
 Number of nouns
 Number of verbs
 Number of adjectives
 Number of function words
 Number of pronouns
 Number of sentences
 Number of words with frequency 1;
 Number of words with frequence 10 and more</p>
      <p>Based on these characteristics, the following relative indicators can be calculated [20, 21, 32, 33]
(Table 5).</p>
      <sec id="sec-11-1">
        <title>Average word repetition</title>
      </sec>
      <sec id="sec-11-2">
        <title>Coefficient of text exclusivity</title>
      </sec>
      <sec id="sec-11-3">
        <title>Text concentration</title>
      </sec>
      <sec id="sec-11-4">
        <title>Epithetization</title>
      </sec>
      <sec id="sec-11-5">
        <title>Verbal definitions</title>
      </sec>
      <sec id="sec-11-6">
        <title>Degree of nominality</title>
      </sec>
      <sec id="sec-11-7">
        <title>Logical coherence</title>
      </sec>
      <sec id="sec-11-8">
        <title>Index of intelligibility (readability)</title>
        <p>doubled number of words in the text</p>
        <p>Formula
number of adjectives</p>
        <p>number of verbs
number of adjectives
number of verbs
number of nouns
number of verbs
number of words in the text
number of different words
number of words in the text
number words in the text
number of different words
number of different words with freq.1</p>
        <p>number of words in the text
number of different words with freq.  10
number of words in the text</p>
        <p>number of nouns
number of adjectives
number of adverbs
number of verbs
number of nouns
number of verbs
number of function words</p>
        <p>number of sentences
average number of words in sentence
average number o more than 6  letter words in a sentence</p>
        <p>Some of these absolute indicators, as well as the indicator of logical coherence, were calculated for
four sets (groups) of texts by personality type. Frequency dictionaries were constructed for each of the
four sets of texts. This was done using the AntConc software (https://www.laurenceanthony.net/),
which allows you to build frequency dictionaries, among other things, texts in Cyrillic (Fig. 6).
70
60
50
40
30
20
10
0
70
60
50
40
30
20
10
0</p>
        <p>Frequency characteristics of the texts are in Table 6 (words with a frequency of more than 3% are
given in table 7). The total number of unique words is calculated not as the sum of unique words in
each of the types of texts, but on the materials of all texts simultaneously.
Visually relative indicators from Table 6 is given in fig. 7 and fig. 8.</p>
        <p>Words with a singing frequency of more than 3%, which were in each of the types of texts, are a
woman (жінка), and (і), on (на), not (не), what (що).</p>
        <p>The number of nouns, pronouns, and function words in the studied texts is given in Table. 8.</p>
      </sec>
    </sec>
    <sec id="sec-12">
      <title>Analysis of research results</title>
      <sec id="sec-12-1">
        <title>Personality type</title>
        <p>Word
From the results, we can draw the following conclusions.</p>
        <p>Most of the students who participated in the study have a Diplomat personality type (42%), these
students are the authors of the largest share of words (46%), and the texts contain the lowest rate of
uniqueness (43%). The texts of this group differ significantly in the proportions of the total share of
words among all texts (46%) to the number of unique words (43%), this ratio can be given as 46:43,
while for other texts this ratio is 14:60 (Analysts), 23:52 (Sentinels), 18:27 (Researchers).</p>
        <p>The fewest students who participated in the study have the personality type Analyst (12%), these
students are the authors of the smallest share of words (14%). The texts contain the highest rate of
uniqueness (60%).</p>
        <p>Proportional for all groups of texts are the indicators of the share of the number of words and the
number of words with a frequency of more than 3%. The inverse proportion is observed for the
dependence of the share of words in total - the number of unique words.</p>
        <p>There were no verbs or adjectives among the words with a frequency of more than 3%, which was
true for all types of texts. Comparing the number of nouns, pronouns, and the function words, we note
for fairness approximately the same ratio of the number of nouns and pronouns was not performed for
texts such as personality Analysts. In such texts, there is the highest share of nouns and the lowest of
pronouns. The total share of words per pair of nouns-pronouns is the lowest for texts of the Analysts
personality type (21%), for other types of texts such a total share is 30-34%.</p>
        <p>Thus, we can say that the research hypothesis is confirmed and there is a relationship between the
statistical characteristics of digital text and the psychological characteristics of the speaker. Of course,
it is necessary to take into account the volume of research material, the conditions of the study, the
restrictions imposed on the research material, and so on. However, more important than finding hidden
dependencies in digital texts, for this study is the opportunity to show the correctness of the approach
to the analysis of the digital text, and options for its IT support.</p>
      </sec>
    </sec>
    <sec id="sec-13">
      <title>5. Conclusions</title>
      <p>To investigate the relationship between the statistical characteristics of a student's digital text and
some independent assessment of the student's personality, an algorithm was proposed, that involves the
formation of multiple student-generated texts, the assessment of students' psychological characteristics,
and statistical analysis of digital texts.</p>
      <p>Among the results of the study is the identification of several characteristics of the texts, which differ
significantly for the different types of the speaker personality. For example, the ratio of the total share
of words among all texts to the number of unique words, the total share of words per pair noun-pronoun.</p>
      <p>Areas of further research include expanding the volume of digital texts, developing a database and
data warehouse schema to preserve the evaluation results and statistical parameters of texts, introducing
the language corpus into the study, and so on. Current hypotheses of future research include the
relationship between the statistical characteristics of digital text in native and foreign languages, the
dependence of statistical parameters of the text on the objective indicators of the speaker - age, course,
specialty, science, etc., as well as ensuring the diachronicity of relevant research.</p>
    </sec>
    <sec id="sec-14">
      <title>6. References</title>
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