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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>World Universities Strategic Analysis Based on Data from the QS World University Rankings</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Myroslava Bublyk</string-name>
          <email>my.bublyk@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Orest Slava</string-name>
          <email>orest.slava@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Victoria Vysotska</string-name>
          <email>victoria.a.vysotska@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Liubov Kolyasa</string-name>
          <email>kolyasa.lubov@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olha Vlasenko</string-name>
          <email>olha.vlasenko@uni-osnabrueck.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>S. Bandera Street, 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Osnabrück University</institution>
          ,
          <addr-line>Friedrich-Janssen-Str. 1, Osnabrück, 49076</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The article examines indicators of influence on the overall ranking of world universities based on QS World University Rankings data, statistical analysis, smoothing methods, correlation analysis and forecasting. We considered the dynamic change of the Lviv Polytechnic National University rating. The identified trends and regularities, problems and advantages should serve as prerequisites for the development strategy of the worldwide universities, taking into account which will allow the formation of effective mechanisms for the long term. A study of the activities of universities was carried out, which made it possible to systematically, comprehensively and objectively comply with the requirements of information security, among which the confidentiality, integrity and availability of information are key, to determine the level of their potential opportunities and to develop a set of strategic directions and measures that contribute to their strategic development in perspective</p>
      </abstract>
      <kwd-group>
        <kwd>1 University ranking</kwd>
        <kwd>QS World University Rankings</kwd>
        <kwd>information technologies</kwd>
        <kwd>smoothing</kwd>
        <kwd>statistical analysis</kwd>
        <kwd>forecasting</kwd>
        <kwd>correlation analysis</kwd>
        <kwd>strategic analysis</kwd>
        <kwd>information security</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Recently, information technologies have played key roles in achieving competitive positions by
economic entities both in domestic and global markets. Due to the strict conditions of quarantine during
the Covid-19 pandemic, the impact of information technologies on achieving commercial results and
obtaining profits in educational services has increased. Higher education institutions (HEI) carried out
their educational and economic activities only remotely for a long time. The existing information
systems of higher education institutions were not ready for uninterrupted operation. It led to an increase
in the need for information security in both the educational activity system and the system of ensuring
the economic activity of universities.</p>
      <p>Large-scale military operations with the beginning of the Russian-Ukrainian war in 2022 proved
beyond doubt that ensuring information security in education is a significant factor in achieving
Ukraine’s victory in the fight against the Russian aggressor. For over a year, the most important issue
for the world community has been the good information display of new socio-economic phenomena
and processes in Ukraine. Stable implementation of the educational process of higher education in
deoccupied territories and territories close to the contact line is impossible without compliance with
information security. Information security methods and tools include backups, two-factor
authentication, and compliance with access rights policies. There was an urgent demand to limit the
circle of people with access rights to important data from higher education institutions.</p>
      <p>Under the influence of such critical external environmental changes, universities track and analyse
these changes to form a balanced strategy for their development. The data obtained from the strategic
analysis will allow HEI to outline its long-term development prospects shortly. There is an urgent need
to form an information base that will allow the simulation of various situations due to changes in input
indicators and more weighted management decisions based on the research results. Therefore, the study
of the activities of universities should be carried out systematically, comprehensively and objectively
in compliance with the requirements of information security, among which confidentiality, integrity
and availability of information are key. It will make it possible to determine the level of its potential
opportunities and develop a set of strategic directions and measures that will contribute to its strategic
development in the future. Compilers of the QS World University Rankings rank universities according
to six indicators: research, teaching, opinion of employers and career potential, and the number of
international students and teachers. To participate in the rankings, a university must offer undergraduate
and graduate programs in at least two broad subject areas (e.g., arts and social sciences, engineering
and technology, law and business). The QS ranking focuses on the reputation of universities in academic
circles. Differences in the criteria and methods of evaluation of higher education institutions used by
the members of the leading ratings affect the result - the final positions of higher education institutions
in the rating table depend on them. First, let’s find out what the QS members pay attention to. An
important feature of the QS rating is its great importance for the reputation of universities in the
academic environment.</p>
      <p>The opinion of experts weighs 40%. The next most important factors - contribution to global
scientific research activity and transmission quality - weigh 20%. The contribution to research activity
is defined as the citation index of open scientific universities, considered for each of its employees. The
number of teachers per student testifies to the quality of teaching. Finally, 5% in the QS world ranking
of higher education institutions provides indicators of the ratio of foreign and local students, as well as
foreign and local teachers, which together show the degree of internationalisation of the higher
education institution.</p>
      <p>These indicators cover the key strategic missions of universities of global importance, for which
they are accountable to the participants of the process: the academic community, employers, students
and their parents. Each year, the study evaluates more than 2,500 higher education institutions
worldwide. Based on the QS World University Rankings results, a ranking of the 500 best universities
and rankings of universities in individual disciplines are compiled.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        The globalisation processes strengthening the transition of the world’s developed countries to the
digital model of society determine the growth of the role of universities in ensuring the competitiveness
of the economy in the 21st century [
        <xref ref-type="bibr" rid="ref1">1-3</xref>
        ]. At the end of 2015, Ukraine was among the top ten countries
in the world regarding gross higher education coverage of the population; in 2017, it ranked 11th (79%
of citizens). Obtaining a higher education becomes a requirement of the time, a kind of social standard
that promises its acquirer decent employment and a standard of living.
      </p>
      <p>A network of higher education institutions has been formed in Ukraine (661 institutions, in which
1539 thousand students study) [4-8]. The university plays the leading role in providing higher education
in Ukraine, which is designed to ensure the constitutional rights of citizens in obtaining higher education
on a competitive basis, acquired knowledge, skills and abilities, relevant profession, adequate to market
requirements.</p>
      <p>The level of achievements of universities is evaluated based on the results of a combination of
statistical analysis of the activity of educational institutions, audited data (including information on the
citation index from the Scopus database, the world’s largest bibliometric database of scientific
publications), as well as data from a global expert survey of representatives of the international
academic community and employers who express their opinions about universities.</p>
      <p>We will analyse the achievements of the Higher Educational Institutions of Ukraine in the example
of the Lviv Polytechnic National University. We took 2015-2018 before covid and the war in Ukraine.
Unfortunately, the last two factors significantly impacted Ukrainian universities’ ratings as a strong
negative restraining factor [9-12].</p>
      <p>One of the leading universities in Ukraine is the Lviv Polytechnic National University, declared the
oldest higher technical educational institution in Ukraine and Eastern Europe [1]. Lviv Polytechnic is a
powerful educational and scientific centre in which fundamental and applied research is carried out at
interdisciplinary and transdisciplinary levels, a centre for the formation and development of educated,
intelligent youth. Lviv Polytechnic National University is equipped with a powerful material and
technical base, high-quality human resources, and an excellent educational and scientific reputation.
These and other factors shape the development potential of the university. The following prerequisites
determine the strategic orientations of the university’s development [13-18]:</p>
      <p>1. The development of globalisation processes in all spheres of social relations and education in
general leads to the intensification of competition between universities for leadership in the world
market of educational services and, simultaneously, the growth of international scientific cooperation.</p>
      <p>2. Relatively low-quality indicators of higher education in Ukraine, substantiated by the low
positions of domestic universities in world educational rankings, reflect the need to form a mechanism
for improving the quality of higher education.</p>
      <p>3. The aggravation of the disproportion between employers’ needs for personnel of certain
qualifications and appropriate quality and labour market offers from graduates of domestic educational
institutions requires training specialists with higher education to meet market requirements.</p>
      <p>4. There is a need to implement the provisions of the strategic development of the higher world of
Ukraine in forming strategic guidelines for developing the Lviv Polytechnic National University.</p>
      <p>The competitive positions of Lviv Polytechnic National University on the world, regional and
national markets of educational services are reflected in the positions of the university in the relevant
educational ratings and indicators that characterise its competitive advantages (Table 1).</p>
      <p>
        The global rating of Webometrics’ internet presence is the first rating that reflected the results of the
Lviv Polytechnic National University (over seven years of research). The ranking evaluates the best
presence of the university and the Internet based on the number of links to the university’s website, the
number of pages provided by search engines, and the value of attached files. In general, according to
the presentation, influence, openness and advantages of the university website [
        <xref ref-type="bibr" rid="ref4">19-26</xref>
        ].
      </p>
      <p>
        It is worth noting that Lviv Polytechnic National University ranks 6th among Ukrainian universities
in this ranking [
        <xref ref-type="bibr" rid="ref1">2</xref>
        ].
      </p>
      <p>Table 1
Lviv Polytechnic National University in the world, regional and national educational ratings</p>
      <sec id="sec-2-1">
        <title>The rating name</title>
      </sec>
      <sec id="sec-2-2">
        <title>International rating</title>
      </sec>
      <sec id="sec-2-3">
        <title>Internet presence</title>
      </sec>
      <sec id="sec-2-4">
        <title>Webometrics [2]</title>
      </sec>
      <sec id="sec-2-5">
        <title>Times Higher Education (World</title>
      </sec>
      <sec id="sec-2-6">
        <title>University Rankings Times</title>
      </sec>
      <sec id="sec-2-7">
        <title>Higher Education) [3]</title>
      </sec>
      <sec id="sec-2-8">
        <title>QS University Rankings: EECA [4]</title>
      </sec>
      <sec id="sec-2-9">
        <title>Ranking of universities</title>
        <p>according to Scopus
database indicators [5]</p>
      </sec>
      <sec id="sec-2-10">
        <title>Academic rating “TOP-200 Ukraine” [6, 7]</title>
      </sec>
      <sec id="sec-2-11">
        <title>Consolidated rating of higher educational institutions in Ukraine [8,9] 2015</title>
      </sec>
      <sec id="sec-2-12">
        <title>6th place</title>
        <p>among
Ukrainian
universitie
s
2159
overall
indicator
10
5
6
2016</p>
      </sec>
      <sec id="sec-2-13">
        <title>International level</title>
      </sec>
      <sec id="sec-2-14">
        <title>4th place</title>
        <p>among
Ukrainian
universities
2278
overall
indicator
2017</p>
      </sec>
      <sec id="sec-2-15">
        <title>7th place</title>
        <p>among</p>
      </sec>
      <sec id="sec-2-16">
        <title>Ukrainian</title>
        <p>universities
2526
overall
indicator
&gt;801</p>
      </sec>
      <sec id="sec-2-17">
        <title>Regional level 96 National level 10</title>
        <p>101
10
5
6
5
6
2018</p>
      </sec>
      <sec id="sec-2-18">
        <title>6th place</title>
        <p>among
Ukrainian
universitie
s
2551
overall
indicator
1001+
101
9
6
7
2023*</p>
      </sec>
      <sec id="sec-2-19">
        <title>2th place among</title>
        <p>Ukrainian
universities</p>
        <p>2679
overall indicator
(January 2023)</p>
        <p>[10]
601-800
78
4
3
3</p>
        <p>One of the most prestigious world rankings of universities is the Times Higher Education World
University Rankings. Experts evaluate universities according to 13 indicators, which reflect five main
areas of their activity: teaching (30%), research (30%), citations (30%), international outlook (7.5%),
and industry income (2.5 %) [3]. Since 2017, Lviv Polytechnic National University has been included
in the influential global educational rating of THE World University Rankings [9]. The key positions
that allowed the university to enter this rating are the number of students per 1 research and teaching
staff (R&amp;TS), the total number of students and the percentage of international students (Table 2).</p>
        <p>The main indicators evaluation of the LPNU reflects the growth of the education quality assessment
and the publication citation of R&amp;TS, and a certain stability in the quality of research work and
internationalisation of the university. However, the indicators are quite low in value (the ideal value of
the indicator is 100), reflecting the need to implement measures to ensure the growth of the main rating
indicators at Lviv Polytechnic University and, thus, its reputation and competitiveness.</p>
        <p>A component of the QS World University Rankings is the corresponding regional ranking of
universities. Lviv Polytechnic National University is included in the regional ranking of developing
European and Central Asian countries (EEA) [4]. The rating is formed according to 6 main criteria: the
scientific reputation of the university, the ratio of scientific and teaching staff to students, the reputation
of the university among employers, the number of international students and teachers, the number of
scientific works and citations of university scientists, the number of employees with scientific degrees.
For 2018, the rating was formed based on data from 299 universities in the region. At the same time,
LPNU took 101st place, five positions lower than in 2016. The main evaluation indicators’ values
acquired the following: scientific reputation - 53.9, reputation among employers - 21.8, assessment of
the number of scientific works and citations of university scientists - 34.7.</p>
        <p>The result of the scientometric monitoring of subjects of scientific and publishing activity in
Ukraine, according to the indicators of the SciVerse Scopus database, was the rating of Ukrainian higher
educational institutions. The results of the ranking of higher educational institutions are based on the
indicators of the Scopus database, which is a tool for tracking the citations of scientific articles
published by the educational institution or its employees. The Scopus database constantly indexes over
20,000 scientific journals and hundreds of book series [5]. In 2017, Lviv Polytechnic University ranked
10th in citations of scientific and teaching staff publications among 136 universities in Ukraine. Thus,
having acquired a high value of citations of scientific works of university employees, the possibilities
of increasing such an indicator have been determined, focusing on the leaders of this rating, which
implies the need for an increase in the number of scientific studies and their reflection in cited and
prestigious publications.</p>
        <p>The “TOP-200” academic rating is based on an expert study of the quality of the R&amp;TS, the quality
of education and international recognition of the university according to 24 indicators, which provides
80% of the information about the university. This assessment is supplemented by an indicator of
information resources (quality and functional completeness of university websites) - 5% and an expert
assessment with a weighting factor of 15%, which reflects the level of basic and general education of
students, the level of their professional training, the level of practical knowledge of information
technologies, demand university graduates by the labour market [6]. In 2015-2017, Lviv Polytechnic
University took 5th place in this rating, which reflects the university’s consistently high position in the
domestic market of educational services [8].</p>
        <p>In the consolidated rating of higher educational institutions of Ukraine, LPNU took 6th place in
2015-2017 [7-9]. The study of the specifics of the evaluation methodology according to this rating
allows us to conclude the university’s high position, considering the quality of its educational and
scientific activities, openness and availability of information about it.</p>
        <p>Also, in 2017, Lviv Polytechnic University took 8th place in the ranking of the magazine “Focus”,
which was conducted among employers in Ukraine. Leading companies from various fields evaluated
graduates’ chances of getting a job with prestigious employers. In total, the rating was formed from the
50 best higher education institutions according to employers [7-10].</p>
        <p>The prerequisites for the formation of the strategy of the Lviv Polytechnic National University are
also the assessment of its economic and financial activity. Every year, the admission campaign results
demonstrate and confirm the university’s demand and reputation in the educational services market
[121]. According to fig. 1, the general trends of the decrease in entrants during 2012-2017 are determined.</p>
        <p>In 2012-2017, the entrant’s admission to LPNU took place both at the expense of the state order and
at the expense of legal entities and individuals. Currently, there is no pronounced tendency to decrease
the volume of the state order for training specialists.</p>
        <p>An important factor and, at the same time, an indicator of the university’s success in the world
educational space is the number of international students. It is one of the key indicators that allowed
Lviv Polytechnic University to enter the Times Higher Education World University Rankings.
However, the analysis of the dynamics of the number of foreign university students (Fig. 2) reflects the
tendency of their gradual decrease - from 2014 to 2017, the number of such students decreased by
24.8%, i.e. by 82 persons.</p>
        <p>240
273
288
330
294
284
248
8000
6000
4000
2000</p>
        <p>0
400
300
200
100
0</p>
        <p>Following the principles of the Bologna process and considering the general globalist trends in
higher education, it is important to increase the opportunities for students and teachers to learn/teach,
learn and share their experience with foreign colleagues through cooperation with foreign higher
education institutions. Dynamic changes in cooperation with foreign universities should be studied
according to the data in Fig. 3.</p>
        <p>From 2011 to 2015, the academic mobility of Lviv Polytechnic University students and teachers
increased from 2011 to 2016. Business trips abroad are related to representing the university’s interests,
gaining experience and knowledge, and reflecting the compliance of the organisation of the university’s
activities with the principles of the Bologna process and the implementation of the principles of entry
600
400
200</p>
        <p>0
3000
2000
1000</p>
        <p>0
25000
20000
15000
10000
5000</p>
        <p>0
into the European educational space. In recent years, indicators of academic mobility of students and
teachers have slightly decreased.</p>
        <p>295
137
307
244
463
263</p>
        <p>One of the main activities of the university is its scientific activity. The scientific research of the
research and teaching staff (R&amp;TS) is reflected in our publications in Fig. 4.</p>
        <p>During 2011-2017, the publishing activity of the R&amp;TS at Lviv Polytechnic National University
increased. The total number of publications increased by 1.5 times during the studied period. At the
same time, the positive and rather rapid dynamics of the quality of publications are important, which is
reflected in the increase in the publication number of R&amp;TS included in scientometric databases.
2323
2550
2708</p>
        <p>2731
163
2011
185
2012
515
2013
532
2014
724
2324
Such a positive trend guarantees global recognition of the university’s scientific activity quality.</p>
        <p>Scientific activity at the university is carried out according to the priority directions of Ukraine’s
science and technology development. Scientific activities were financed from the funds of the special
fund and the general fund (Fig. 5).</p>
        <p>During 2011-2017, the total volume of financing of the research on commercial contracts (RCC) at
the Lviv Polytechnic National University grew. In general, the financing of the RCC increased by 2.3
times, that is, by 19,232.4 thousand UAH. The positive dynamics of financing are observed both from
the general and at the expense of the special fund. At the same time, financing from the general fund
was carried out in larger volumes and developed faster.</p>
        <p>The identified trends and regularities, problems and advantages should serve as prerequisites for the
development strategy of the Lviv Polytechnic National University, taking into account which will allow
the formation of effective mechanisms for the long term.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Methods</title>
      <p>For a better understanding of the development of the dynamics of university indicators according to
the QS World University Rankings, we will conduct additional research on the relevant dataset. Main
research methods:</p>
      <p>1. Correlation analysis makes it possible to detect periodic dependencies and their delays within a
certain process (autocorrelation) or between several processes (cross-correlation).</p>
      <p>2. Spectral analysis determines a time series’s periodic components.</p>
      <p>3. Smoothing and filtering methods are designed to transform time series to remove high-frequency
and seasonal fluctuations from them. 4. Methods of autoregression and moving averages are used to
describe and forecast processes that carry out random fluctuations around a certain average value.</p>
      <p>5. Forecasting methods that make it possible to estimate its most probable values in the future based
on the selected time series model.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments, results and discussions</title>
      <p>We started working with the dataset (https://data.world/education/world-university-rankings) by
downloading it and doing an initial analysis. Thus, the original dataset looked like this.</p>
      <p>The main attributes of the dataset are world_rank (place in the world rating), institution (university
name), country (main branch office), national_rank (place in the national rating), quality_of_education,
alumni_employment, quality_of_faculty, publications, influence, citations, broad_impact, patents,
score, year. Next, the dataset was loaded into RStudio:</p>
      <p>The given information complies with the norms of ensuring information security and is carried out
using information protection per the legal requirements for creating a Comprehensive Information
Protection System.</p>
      <p>Information security entities (universities) implement an information security policy by the
legislation requirements, including ISO international standards: ISO/IEC 17799:2005, ISO/IEC
27001:2013 (Sarbanes-Oxley Act), as well as by creating an information management system security
based on own developments. Confidentiality, integrity and availability of information are also achieved
by exchanging data with international rating systems. The obtained results are shown in Fig. 7.</p>
      <p>Let’s present it graphically using ggplot.</p>
      <p>A histogram is a way of graphically presenting tabular data and their distribution. To display data in
the form of histograms, usethe histfunction. Program code that implements a histogram, which depicts
the statistics of the rating for the university:</p>
      <p>Program code that implements a histogram depicting statistics of the quality of education:
hist(universityRate$quality_of_education, main="quality_of_education",
xlab="S",col="green")
Figure 9: Histogram of the dependence of ranking statistics on the university (x – s, y- frequency)
Program code that implements a histogram that displays influence statistics:
hist(universityRate$influence, main="influence", xlab="S", col="grey")
library(ggplot2)
data&lt;-iris
plot(universityRate$patents, universityRate$world_rank, col=universityRate$patents)
legend(7,4.3,unique(universityRate$patents),col=1:length(universityRate$patents),pch=1)</p>
      <p>This histogram shows that the number of US universities in our ranking is many times greater than
in other countries.
ggplot(universityRate,aes(x=universityRate$country,fill="USA"))+theme_bw()+
geom_bar()+labs(y="USA",title="Ratio USA to all countries")
ggplot(universityRate,aes(x=universityRate$score,fill=universityRate$country=="USA"))+theme_
bw()+geom_bar()+labs(y="USA",title="Ratio USA to all countries")</p>
      <p>Japan’s universities’ relationship with other countries are following:
ggplot(universityRate,aes(x=universityRate$score,fill=country=="Japan"
))+theme_bw()+geom_histogram(binwidth=5)+labs(y="Japan",title="Ratio Japan to all countries")</p>
      <p>Cumulative is a graphically continuous curve, giving a more accurate result than a histogram.
Construction algorithm: we select intervals and build an interval table. Based on the table, we build a
factor with cumulative amounts and display the result on the graph. Let’s build a cumulative score
indicator using intervals and built-in functions:
UR = universityRate$score
breaks = seq(44, 100, by=1)
UR.cut = cut(UR, breaks, right=FALSE)
UR.freq = table(UR.cut)
cumfreq0 = c(0, cumsum(UR.freq))
plot(breaks, cumfreq0, main="World_Rank", xlab="score", ylab="World_Rank")
lines(breaks, cumfreq0)</p>
      <p>Let’s build a cumulate for the national_rank indicator using intervals and built-in functions:
national_rank = universityRate$national_rank
breaks = seq(1, 100, by=5)
national_rank.cut = cut(national_rank, breaks, right=FALSE)
national_rank.freq = table(national_rank.cut)
cumfreq0 = c(0, cumsum(national_rank.freq))
plot(breaks, cumfreq0, main="national_rank", xlab="national_rank", ylab="")
lines(breaks, cumfreq0)</p>
      <p>Let’s build a cumulate for the influence indicator using intervals and built-in functions:
influence = universityRate$influence
breaks = seq(1, 340, by=10)
influence.cut = cut(influence , breaks, right=FALSE)
influence.freq = table(influence.cut)
cumfreq0 = c(0, cumsum(influence.freq))
plot(breaks, cumfreq0, main="Influence Univercity Rank", xlab="influence",
ylab= “Univercity”)
lines(breaks, cumfreq0)</p>
      <p>Let’s construct a cumulate for the quality_of_faculty indicator using intervals and built-in functions:
quality_of_faculty = universityRate$quality_of_faculty
breaks = seq(7, 360, by=5)
quality_of_faculty.cut = cut(quality_of_faculty, breaks, right=FALSE)
quality_of_faculty.freq = table(quality_of_faculty.cut)
cumfreq0 = c(0, cumsum(quality_of_faculty.freq))
plot(breaks, cumfreq0, main="Univercity quality of faculty Rank",</p>
      <p>xlab="quality_of_faculty", ylab="")
lines(breaks, cumfreq0)</p>
      <p>Let’s construct a cumulate for quality_of_education indicator using intervals and built-in functions:
quality_of_education = universityRate$quality_of_education
breaks = seq(44, 100, by=1)
quality_of_education.cut = cut(quality_of_education, breaks, right=FALSE)
quality_of_education.freq = table(quality_of_education.cut)
cumfreq0 = c(0, cumsum(quality_of_education.freq))
plot(breaks,cumfreq0,main="quality_of_education",</p>
      <p>xlab="quality_of_education",ylab="")
lines(breaks, cumfreq0)</p>
      <p>To highlight the behaviour trends of the studied indicator, represented by the nature of its trend, with
the help of time series smoothing methods and presentation of the obtained results using the R
programming language and the R Studio environment, we will perform smoothing by various methods:
library(zoo) # moving averages, library(tidyverse) # all tidyverse packages, library(hrbrthemes) #
themes for graphs, library(socviz) # %nin%, library(geofacet) # maps, library(usmap) # lat and long,
library(socviz) # for %nin%, library(ggmap) # mapping, appRate = universityRate$patents,
my_moving_average_2 &lt;- rollmean(appRate, k = 3), my_moving_average_2, my_moving_average_2
&lt;- rollmean(appRate, k = 5), my_moving_average_2, my_moving_average_2 &lt;- rollmean(appRate, k
= 7), my_moving_average_2</p>
      <p>Let’s build a moving average linear smoothing for the indicator Z(Number of connectors) using
intervals and built-in functions:</p>
      <p>Let’s build a moving average linear smoothing for the indicator Z (Number of connectors) using
intervals and built-in functions:</p>
      <p>The content of the median smoothing algorithm of the time series consists of the defined median
values for the smoothing interval levels. Next, the time series level value corresponding to the middle
of the smoothing interval is replaced by the median value. Median smoothing completely removes
single extreme or anomalous values of levels separated by at least half of the smoothing interval.
Median smoothing preserves sharp changes in the trend, but moving average and exponential smoothing
smooth them. It effectively removes single levels with large or small random values that stand out
sharply from other levels. We smooth the data using the sizes of the smoothing interval w = 3, 5, 7, 9,
11, 13, 15 to obtain seven columns using the function runmed():
library(ggplot2)
data&lt;-iris
plot(universityRate$patents, universityRate$world_rank, col=universityRate$patents)
legend(7,4.3,unique(universityRate$patents),col=1:length(universityRate$patents),pch=1)
require(graphics)
myNHT &lt;- as.vector(universityRate$patents)
plot(myNHT, type = "b", ylim = c(0,1000), main = "Running Medians")
lines(runmed(myNHT, 10000), col = "red")</p>
      <p>Smoothing according to formulas from Pollard
Key Function =WMA()
d &lt;- read.csv('cwurData.csv',strip.white = TRUE,stringsAsFactors = FALSE)
head(d)
summary(d)
nrow(d)
library(TTR)
kingstimeseriesSMA3 &lt;- SMA(universityRate$patents,n=3)
plot.ts(kingstimeseriesSMA3)
ggplot(aes(id,dataR$Reviews, color = metric)) + geom_line()</p>
      <p>Correlation is following:
library("ggpubr")
cor(universityRate$world_rank, universityRate$score, method = c(“pearson”, “kendall”,
“spearman”))
cor(universityRate$world_rank, universityRate$quality_of_education, method = c(“pearson”,
“kendall”, “spearman”))
cor(universityRate$world_rank, universityRate$publications, method = c(“pearson”, “kendall”,
“spearman”))
cor.test(universityRate$world_rank, universityRate$quality_of_education, method=c(“pearson”,
“kendall”, “spearman”))
library(“ggpubr”)
ggscatter(universityRate, x = "world_rank", y = "quality_of_education", add = "reg.line",
conf.int = TRUE, cor.coef = TRUE, cor.method = "pearson", xlab = "world_rank", ylab =
"quality_of_education")
library("ggpubr")
ggqqplot(universityRate$quality_of_faculty, ylab = "quality_of_faculty")
ggqqplot(universityRate$publications, ylab = "publications")
The following code was used to gain the empirical correlation relation.
data &lt;- data.frame(Appearance = c(universityRate$score),</p>
      <p>Thickness = c(universityRate$quality_of_education),</p>
      <p>Spredability= c(universityRate$publications))
cov(data)</p>
      <p>The correlation matrix allows us to find the relationship between more than two variables of different
higher educational institutions worldwide.
data("universityRate")
my_data &lt;- universityRate[, c(1,3,4,5,6,7)]
# print the first 10 rows
head(my_data, 6)
res &lt;- cor(universityRate)
round(res, 2)</p>
      <p>Discussing the obtained results of the rating analysis, they indicate the possibility of their use as part
of economic methods for processing information about the current state and prospects for developing
business processes in HEI. It will make it possible to make balanced management decisions based on
objective information about the development of business processes in universities.</p>
      <p>The identified structural regularities of the development of universities and the possibilities of
information technologies testify to the effective application of the economic and statistical information
analysis method.</p>
      <p>Adapting the obtained results depends on the internal environment of each university.</p>
      <p>However, it contributes to adopting effective management decisions based on financial and
statistical information analysis on the ranking positions of each higher education institution.</p>
      <p>A thorough analytical review and informational notes based on the results of the analysis of rating
positions by specific needs will enable the university management, with the help of the proposed method
of collecting statistical information, its processing and analysis, to form the necessary database
(personal, integral and accessible) for the formation of plans for the development of higher education
institutions.</p>
      <p>We can use the proposed method of strategic analysis of the rating position to forecast the set goal.
It will also contribute to developing a comprehensive information system and analytical support for the
university’s development strategy. The following stages can be distinguished in the proposed
methodology:
1. Formation of an information base for the study of subjects of economic activity
2. Organisation and processing of internal and external information about business entities.
3. Organisation and monitoring of business entities.</p>
      <p>4. Coordination with the regulatory framework regarding economic and financial analysis
organisation.</p>
      <p>5. Compilation of an information note, analytical report and review by the needs of interested
organisations.</p>
      <p>6. Development of a proposal for effective decision-making, adaptation and support based on
information analysis and compliance with information security requirements.</p>
      <p>7. Organisation of the collection, collection and systematisation process of available information,
using scientific methods of its primary and secondary evaluation at the university.</p>
      <p>8. Implement mixed methods, including hall tests, home tests and mystery shopping.
9. Formation of the structure of the decision-making information support system.
10. Information provision of the processes of optimisation of university activities.</p>
      <p>11. Development of the university’s strategic management system, determination of possible
strategies, and selection strategic economic zones and centres.</p>
      <p>12. Implementation of strategic analysis, selection of areas of strategic analysis, formation of single
business strategy, growth and development strategy of the university, analysis and management of the
university portfolio.</p>
      <p>The proposed method of strategic analysis by ranking the university along with its advantages has
one significant drawback - the rating position and its changes (growth or decline) may not indicate the
university’s true positive or negative development but is only a relative indicator. It is important to
understand that the position is relative to the number of universities included in the rating and changes
in their quality characteristics.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The competitive positions of any higher educational institution in the world, regional and national
markets of educational services are reflected in the positions of the university in the relevant educational
ratings and indicators that characterise its competitive advantages. Improving these positions improves
the competitiveness of these higher primary institutions.</p>
      <p>Using the example of Lviv Polytechnic National University, the peculiarities of the impact of some
indicators on changes in the value of the rating in the well-known world, regional and national
educational ratings are considered.</p>
      <p>Correcting these indicators, for example, by encouraging employees, creating suitable working
conditions for them, and improving the quality of educational services, helps support the
competitiveness of a higher institution in the struggle for leadership in the world market of educational
services and at the same time, affects the growth of international scientific cooperation of this institution
in the world market useful services.</p>
      <p>The relatively low-quality indicators of higher education in Ukraine are justified by the low positions
of domestic universities in world educational rankings, which reflects the need to form a mechanism
for improving the quality of higher education.</p>
      <p>The aggravation of the disproportion between the needs of employers in personnel of certain
qualifications and the appropriate quality and the labour market offers from graduates of domestic
educational institutions requires training specialists with higher education, which is adequate to the
market’s requirements.</p>
      <p>There is a need to implement the provisions of the strategic development of the higher world of
Ukraine in the formation of strategic guidelines for the development of the corresponding higher
educational institution, taking into account the needs and requirements of the world market of
educational services, as well as based on the peculiarities of the formation of the university rating based
on the QS World University Rankings research.</p>
      <p>Among the 2,679 universities included in the rating, Lviv Polytechnic National University takes 2nd
place among Ukrainian universities according to data as of the end of January 2023, is included in the
list of 200 universities that share the position between 600 and 800 according to the Times Higher
Education World University Rankings, takes 78th position according to the QS University Rankings
for the EECA region, and at the national level it has significantly improved its position: it ranks 4th in
the ranking of universities according to Scopus database indicators, 3rd in the Academic rating
“TOP200 Ukraine” and 3rd in the Consolidated rating of higher educational institutions in Ukraine.</p>
      <p>The proposed method of strategic analysis through university rating has several limitations, among
which the most significant is the constant change in the quantitative and qualitative composition of
rating participants.</p>
      <p>Therefore, the rating position and its changes (growth or decline) may not indicate the real positive
or negative development of the university but is only a relative indicator. It is important to understand
that the position is relative to the number of universities included in the rating and changes in their
quality characteristics.</p>
    </sec>
    <sec id="sec-6">
      <title>6. References</title>
      <p>
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comparability of universities in university rankings: results from Italy and Belgium on the Times
Higher Education Ranking. Quality in Higher Education (2023) 1-22.
[14] Y. Wen, X. Zhao, X. Li, Y. Zang, Explaining the Paradox of World University Rankings in China:
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[15] M. Shattock, The ‘world class’ university and international ranking systems: what are the policy
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