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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Cluster Analysis of Exclamations and Comments on E-Commerce Products</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleh Veres</string-name>
          <email>Oleh.M.Veres@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yurii Matseliukh</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Taras Batiuk</string-name>
          <email>taras.batiuk.mnsa.2020@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sofiia Teslia</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alyona Shakhno</string-name>
          <email>ashakhno@knu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tetiana Kopach</string-name>
          <email>tetiana.m.kopach@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yeva Romanova</string-name>
          <email>yeva.romanova.sa.2019@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Inesa Pihulechko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Kryvyi Rih National University</institution>
          ,
          <addr-line>V. Matusevych Street, 11, Kryvyi Rih, 50027</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>S. Bandera Street, 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>2</fpage>
      <lpage>30</lpage>
      <abstract>
        <p>A survey of consumers' opinions of women's clothing was obtained from reviews and comments during online sales. The high popularity of clothing and footwear as a segment of the electronic market is considered. Correlation analysis of survey data was performed, correlation coefficients were calculated, a correlation matrix was constructed, and autocorrelation was established, establishing how consumers perceive the offered products and services in the clothing sales segment. Cluster data analysis was performed. Dendrograms of clothing sales responses were constructed and analyzed due to the conclusions obtained from various research methods of the clothing sales segment on the Internet, recommendations for improving the clothing sales system, and proposals for developing new marketing measures.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Cluster analysis</kwd>
        <kwd>information technologies</kwd>
        <kwd>business analysis</kwd>
        <kwd>e-commerce products</kwd>
        <kwd>exclamations</kwd>
        <kwd>comments</kwd>
        <kwd>data processing</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>For example, if a customer comes with a request to update a website or create a new one, business
analysts can [24-27]:
● to compile the initial User Persona, namely the target audience of the store
● to see which positions are most often bought
● to give tasks to the team so that it can develop the system so that it promotes these positions
in the section "recommended" products
● make sure that the reviews that users find helpful are shown first
● show sections with clothes, guided by the section that has the most reviews of the product
is the most popular
● things with negative reviews show last</p>
      <p>At the end of the work, business analysts can improve user experience and make the business more
profitable.</p>
      <p>The aim work is following:
● To use visualization methods for graphical display
● To use primary statistical processing for numerical data on the feedback and comments of
buyers of women's clothing during online sales;
● To analyze trends of the studied indicators;
● To conduct both data correlation analysis and cluster analysis;
● Building a dendrogram of feedback on clothing sales;</p>
      <p>We will use the results to improve the website's user experience and thus increase the profitability
of the online clothing store.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <p>The topic we have chosen is quite popular at the moment. We tried to choose the information sources
that have been published in the last two years so that the information we received is not outdated.
Researching information about it, we found several articles [6 - 19] and various sources [21 - 28] that
helped us understand the relevance of the topic - Women's e-commerce clothing reviews [29, 30] and
whether we can bring something new to its development.</p>
      <p>In the article [18] we reviewed, the author analyzed a set of e-commerce women's clothing that
contains numerical data and text reviews written by customers. The author [18] used a large number of
methods of data analysis and visualization. He also used many graphs, tables, and charts. All this
simplifies the understanding of the work, which may help in the future in our research.</p>
      <p>The following article [19] we chose turned out to be very useful. The author of the work [19] justified
the actions taken and made beneficial reviews that help to make, which reviews dominate in each
department, customers of which age leave the most reviews, such as clothing aesthetics, position, and
the quality of the material affects the rating and what you need to pick up to avoid problems. Companies
can focus on what works and what doesn't. Knowing the demographics of reviewers, you can make
marketing decisions [19, 20] (for example, advertising on the Internet on the sites most visited by people
of a certain age).</p>
      <p>In the following article [21], the authors discuss the importance of mood analysis and how it can be
used to understand customer choices. The authors [22] tries to find out the age of groups of customers
who are satisfied with buying a particular thing online. The authors [21, 23] first tries to analyze
nontextual review functions, such as age, class of items purchased, etc. and then finds a relationship
between them and the recommended product. They try to determine whether the review text
recommends the purchased product or not.</p>
      <p>In the following article [24], the author used five popular machine learning algorithms to solve the
problem, including logistic regression, vector support machine (SVM), Random Forest, XGBoost, and
LightGBM. Based on natural language processing (NLP), these algorithms elucidate the relationship
between review functions and product recommendations based on natural language processing (NLP)
[24]. The authors achieved the best result with the LightGBM algorithm with the highest AUC value
and accuracy. Thus, authors [24-28] helped us determine which algorithm is the most effective, thus
bringing something new to our study.</p>
      <p>So, we can summarize the advantages and disadvantages of our chosen topic.</p>
      <p>Benefits are following:
● Enough relevant information that helps us make our work better.
● The volumes of our dataset make it possible to analyze data by various methods and
algorithms.
● This topic is relevant today, which is very important for research.
● Ability to process large amounts of information from the business analysis.
● Disadvantages:
● The difficulty of choosing the method that will give high accuracy to the study.</p>
      <p>So, we can conclude that our topic is still relevant and needs new research in this area. It will help
companies better understand customer preferences and how they should go. We have processed
research information from four authors, and we can say that we can explore this topic more deeply and
bring something new to the field.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methods</title>
      <p>According to paper [31-34], it is advisable to reduce the number of single records for statistical and
analytical data processing by combining them into clusters with a similar set of properties. Designing
this process does not make sense without initially establishing a basis for analysis. Namely, the
researcher may be interested in the analysis regarding the reviewer's age, product ID, etc.</p>
      <p>We focused on the hierarchical agglomerative cluster analysis of multidimensional data to
systematize this analysis [35-37].</p>
      <p>Our problem has no time sequence, which requires moving average, weighted moving average,
median filtering, and normalization of time sequences. However, we are dealing with a
multidimensional dataset [30, 31] that combines important data (Age, Clothing ID, Class Name, Rating)
and less critical data for analysis (Title and Review Text, etc.). This division comes to mind due to the
availability of systematic data set analysis. The presence of such a significant dimension, in our opinion,
is due to the principle of maximum use of the work of the reviewer, who agreed to give an assessment.
However, "garbage" data for analysis are not attributes of the subject area. For example, the Review
Text reflects the verbal arsenal and temperament of the reviewer, which are highly subjective.
Therefore, if it is necessary to study not statistics on the product but people who have agreed to be
reviewers, it is necessary first to analyze all their textual reviews and, to a lesser extent, conclude the
person by his preferences in clothing. A modest person will not look for a biker coat and write a review
but rather choose a strict dress or coat.</p>
      <p>Thus, the essence of our chosen method is to divide the data into relatively homogeneous groups
clusters, by determining the criteria for the acceptance of attributes [38-41]. Of course, it is necessary
to determine the depth of sampling of the data set of exclamations, posts and comments [42-46], for
example, for e-commerce products [47-69], i.e., to determine the number of clusters to which it is
necessary to sort the records.</p>
      <p>Regardless of the subject of the study, cluster analysis includes:
● Selection for clustering, data presentation in the table "object property."
● Rationing of table data.
● Reasonable choice of metric for the formation of the proximity matrix.
● Construction of a matrix near-bone based on a normalized table "object property."
● Aggregation strategy for cluster analysis procedure.
● Cluster analysis according to the procedure on the proximity matrix.</p>
      <p>● Dendrogram, as a result of research and selection of the necessary clusters.</p>
      <p>Cluster analysis, of course, has some limitations and shortcomings. Still, its advantages are crucial
for our case analysis because we need to process a significantly large amount of sample data, which
provides higher accuracy than in the case of small samples. It is also worth noting the "ubiquity" of this
method for any set of parameters.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments</title>
      <p>Our data consist of consumers' opinions of women's clothing obtained from reviews and comments
during online sales. We have a massive array of data (23,486 records) with a ten-dimensional attribute
size as a dataset. Attributes in the study of consumer feedback included:
● Clothing ID: serial number of the item
● Age: age to find out the age category.
● Title: review title.
● Review Text: review text.
● Rating: product reviews from 1 to 5.
● Recommended IND: value 0 if not recommended by the user, one is recommended.
● Positive Feedback Count: The number of users who found the review helpful.
● Division Name: name of the department (intimates / general).
● Department Name: clothing category (top / bottom).</p>
      <p>● Class Name: the name of the item (pants/blouse).</p>
      <p>Table 1 presents only part of the 23,486 records of women's clothing reviews and comments during
online sales.</p>
      <p>The next step was to generate a report table with the minimum number of empty cells. Then we
plotted data graphs in Cartesian (Fig.1) and polar coordinate systems (Fig.2). We determined the
descriptive statistics of quantitative dataset characteristics (Table 2).</p>
      <sec id="sec-4-1">
        <title>Rating Recommended IND Positive Feedback Count</title>
        <p>We submit data on age in a histogram (Fig.3). The histogram's cumulative age data of women's
clothing e-commerce review is shown in Fig.4.
0,8
0,6
0,4
0,2
0
0
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60
80
100
120</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion</title>
    </sec>
    <sec id="sec-6">
      <title>5.1. Smoothing time series</title>
      <p>To achieve this goal, namely: acquaintance with the main methods of highlighting the trend of the
studied indicator, which is represented by the nature of its trend, using methods of smoothing time series
and presenting the results using an MS Excel spreadsheet, we conduct such research. We opened a new
Excel workbook and entered our data on the new worksheet. We completed each task on one worksheet.</p>
      <p>Smoothing according to Kandel formulas - simple moving average.</p>
      <p>We smooth the data using the size of the smoothing interval w = 3, 5, 7, 9, 11, 13, 15 (Fig.5-Fig.7).
We have to get seven columns in a row. Then we smooth the data using the smoothing interval w = 3,
then smooth the obtained smoothed data again, but use the size of the smoothing interval w = 5.
Continue smoothing the obtained data with a smoothing interval of w = 7 and w = 15. We must get
seven in a row-column (Fig.8-Fig.9).
100
90
80
70
60
30
20
10</p>
      <p>0
e
lu 50
a
V 40
1 16 211 181 241 301 361 421 481 541 601 661 721 781 841 901 961 0211 1081 1141 1201 1261 1321 1381 1441</p>
      <sec id="sec-6-1">
        <title>Data Point</title>
        <p>1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-2">
        <title>DataPoint</title>
        <p>Moving Average w=7
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-3">
        <title>DataPoint</title>
        <p>1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-4">
        <title>DataPoint</title>
        <p>Figure6:Movingaveragemethodforwomen'sclothinge-commercereview atw =5-9</p>
        <sec id="sec-6-4-1">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-4-2">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-4-3">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-4-4">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-4-5">
          <title>Actual</title>
          <p>Forecast
u
l
V40
a
20</p>
          <p>0
100</p>
          <p>80
e 60
u
l
aV40
20
0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
        </sec>
      </sec>
      <sec id="sec-6-5">
        <title>DataPoint</title>
        <p>1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-6">
        <title>DataPoint</title>
        <p>1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-7">
        <title>DataPoint</title>
        <p>Figure7:Movingaveragemethodforwomen'sclothinge-commercereviewatw=11-15</p>
        <sec id="sec-6-7-1">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-7-2">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-7-3">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-7-4">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-7-5">
          <title>Actual</title>
          <p>Forecast
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4 0 6 2 8 4
1 1 2 3 3 4 4 5 6 6 7 7 8 9 9 0 0 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
        </sec>
      </sec>
      <sec id="sec-6-8">
        <title>DataPoint</title>
        <p>Moving Average w=5(w=3)
1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-9">
        <title>DataPoint</title>
        <p>Moving Average w=7(w=5)
1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-10">
        <title>DataPoint</title>
        <p>Moving Average w=9(w=7)</p>
        <sec id="sec-6-10-1">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-10-2">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-10-3">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-10-4">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-10-5">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-10-6">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-10-7">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-10-8">
          <title>Forecast</title>
          <p>1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
        </sec>
      </sec>
      <sec id="sec-6-11">
        <title>DataPoint</title>
        <p>1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-12">
        <title>DataPoint</title>
        <p>Moving Average w=13(w=11)
1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
      </sec>
      <sec id="sec-6-13">
        <title>DataPoint</title>
        <p>Moving Average w=15(w=13)</p>
        <sec id="sec-6-13-1">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-13-2">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-13-3">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-13-4">
          <title>Forecast</title>
        </sec>
        <sec id="sec-6-13-5">
          <title>Actual</title>
        </sec>
        <sec id="sec-6-13-6">
          <title>Forecast</title>
          <p>1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1
5 1 7 3 9 4 0 6 2 8 3 9 5 1 7 2 8 4 0 6 1 7 3 9 5
1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 0 1 1 2 2 3 3 4
1 1 1 1 1 1 1 1</p>
        </sec>
      </sec>
      <sec id="sec-6-14">
        <title>DataPoint</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>5.2. Smoothing according to formulas from Pollard</title>
      <p>Depending on the size of the smoothing interval, the weight for the mid-level varies. Smoothing is
carried out in the same way as in the previous paragraph. Smooth the data using the size of the
smoothing interval w = 3, 5, 7, 9, 11, 13, 15 (Fig.10-Fig.11). We have to get seven columns in a row.
Figure 10: Pollard smoothing graph by formulas w = 3-9</p>
    </sec>
    <sec id="sec-8">
      <title>Exponential smoothing</title>
      <p>The main parameter of exponential smoothing is a parameter that takes values in the range of 0.1
0.3. It is necessary to smoothing the same series with the parameter values α= 0.1, 0.15, 0.2, 0.25, 0.3.
To find the number of turning points and correlation coefficients between the original values and
smoothed in all these cases (Fig.16 - Fig.17).</p>
    </sec>
    <sec id="sec-9">
      <title>Median smoothing</title>
      <p>Median smoothing. Use the exact dimensions of the smoothing interval and the operation like
previously. We smooth the data using the size of the smoothing interval w = 3, 5, 7, 9, 11, 13, 15. We
have to get seven columns (Fig.18 - Fig.19).</p>
      <p>We smooth the data using the smoothing interval w = 3, then smooth the obtained smoothed data
again, but use the size of the smoothing interval w = 5. Continue smoothing the obtained data with a
smoothing interval of w = 7 and w = 15. We must get seven in a row-column (Fig.20 - Fig.21).
Figure 19: Graphs of median smoothing at w = 9, w = 11, w = 13, w = 15
Figure 20: Graphs of median smoothing at w = 3, w = 5 (w = 3), w = 7 (w = 5), w = 9 (w = 7)</p>
    </sec>
    <sec id="sec-10">
      <title>Data correlation</title>
      <p>We constructed a correlation field to visually understand the relationship between our studied traits.
We chose such features as - Rating and Recommended IND to build the field. Where a rating is a rating
of 1 to 5 for a specific product and Recommended, IND is a binary variable, where 0 means that the
product is not recommended and 1 is recommended (Fig. 22). We also built correlation fields such as
Age and Rating (Fig. 22) and Clothing ID vs Age (Fig. 22). To understand whether there is a
relationship between the data, you need to calculate the correlation coefficient. The correlation
coefficient characterizes the degree of closeness of the linear dependence.
4
g
i 3
n
t
a
R
2
1
0
2</p>
      <p>4
Rating
6
0
20
40
60
80</p>
      <p>100
Age
0
10
20
30
40
50
60
70
80</p>
      <p>90
Age</p>
      <p>Calculate the correlation between the rating and the recommended IND. Calculate it by the formula:
= CORREL (F2: F23487; G2: G23487). The correlation result is shown below: correlation coefficient
R=0,792336288, and determination coefficient R2= 0,627736288. Thus, our correlation coefficient is
about 0.79. They are significantly correlated because their correlation is close to 1. It is considered that
the correlation coefficients, which are modulo more than 0.7, indicate a strong relationship between
these features. We can conclude that clothes with higher ratings are more recommended for people.
Calculate the correlation between rating and age. Calculate it by the formula: = CORREL (F2: F23487;
C2: C23487). The correlation result is shown below: the correlation coefficient is R=0,026830575.
Calculate the correlation between rating and clothing id. Calculate it by the formula: = CORREL (F2:
F23487; B2: B23487). The correlation result is shown below: correlation coefficient R=-0,018879437.
Correlation coefficients that are less than 0.5 modulo indicate a weak relationship. In the last two cases,
our values do not correlate at all.</p>
      <p>When the pairwise statistical dependence on the linear one is correlated, the correlation coefficient
loses its meaning as a characteristic of the degree of closeness of the connection. In this case, use such
a measure of communication as the correlation ratio.</p>
      <p>Since there is a linear relationship between the pair of studied features, the correlation ratio does not
need to be calculated.
5.6.</p>
    </sec>
    <sec id="sec-11">
      <title>Build of autocorrelation functions</title>
      <p>An autocorrelation function correlates a function with itself shifted by a certain amount of
independent variable. Autocorrelation is used to find patterns in several data, such as periodicity. The
graph of the autocorrelation function is also called the correlogram. In Fig.23, we can see the result of
autocorrelation.</p>
      <p>Part 1
[1;7829)</p>
      <p>7828</p>
      <p>Fig.23 shows that the studied series is not stationary. In the case of a stationary time series, the graph
of autocorrelation functions should decline rapidly after the first few values.</p>
      <p>We divided one of the sequences into three equal parts. For partitioning, we chose the sequence
Rating and divided it into three equal parts with an interval of 7828. The result can be seen in Table 3.
For convenience, we made it in a separate table. The correlation matrix is a square table where the
correlation coefficient between the corresponding parameters is located at the intersection of the
corresponding row and column (Table 4). The correlation matrix is a square table where the correlation
coefficient between the corresponding parameters is located at the corresponding row and column
intersection.
0,025
ts 0,02
n
e
i
c
i
f
f
eo0,015
c
n
o
i
t
lae 0,01
r
r
o
c
o
t
u0,005
A
0
Name
Interval
Range</p>
      <p>We use the CORREL function to calculate the autocorrelation coefficient in Excel to find the
coefficients of multiple correlations. Assume that the base variable includes the range F1: F23487. Then
the autocorrelation coefficient is presented in Table 5 and Fig. 24.
0,025
0,02
0,015
0,01
0,005
0
1
2
3
4
5
6
7</p>
    </sec>
    <sec id="sec-12">
      <title>Cluster data analysis</title>
      <p>To conduct cluster analysis, we use an integrated data analysis and management system - Statistica,
one of the most popular statistical programs for finding patterns, forecasting, classification, and data
visualization. Before moving to Statistica, you need to prepare our data set using Excel. Namely, to
create a table "object-property" by deriving the averages (Age, Rating, Recommended IND, Positive
Feedback Count) for each type of clothing. Using data consolidation and applying the "average"
function for indicators: Age, Rating, Recommended IND, and Positive Feedback Count (Table 6). For
convenience, the data in the table have been sorted alphabetically.</p>
      <p>
        The next step is to normalize the resulting Table 7. For this, use the formula. An Example of equation
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
,
where x is the initial value and z is the normalized value.
      </p>
      <p>Now we can move on to cluster data analysis with Statistics. Let's transfer the normalized table to a
separate sheet in Excel. We imported the sheet with the normalized table in Statistica. In our case, we
choose the cluster method, Joining (tree clustering), i.e., hierarchical classification. We select all the
values for analysis. Note that the file contains raw data, not a matrix of similarities, rows group clusters.
We also choose the Euclidean distance as a metric for constructing a proximity matrix. Choose Single
Linkage for the merger strategy. We build a dendrogram (Fig. 25).</p>
      <p>Analyzing the resulting dendrogram, we can conclude that Skirts and Lounge have the most similar
values for the variables Age, Rating, Recommended IND, and Positive Feedback Count, which is why
they are combined into a standard cluster. By the same analogy, all other variables and clusters are
merged until the last standard cluster is formed.</p>
      <p>From the obtained dendrogram, we can conclude that customers who ordered Skirts most likely
belong to the same age category as customers who ordered Lounge. They also most similarly evaluate
the product. Next in similarity are Pants and Knits and so on.</p>
      <p>This information helps us understand customers' needs and recommend the product concerning their
previous purchases, which will help increase sales and profits of the online clothing store.</p>
    </sec>
    <sec id="sec-13">
      <title>6. Conclusions</title>
      <p>In this paper, we analyzed a dataset of opinions of consumers of women's clothing obtained as a
result of reviews and comments during online sales. The study used various data analysis methods,
using well-known software environments such as Excel and Statistica. It allows you to determine which
clothes will bring more revenue to the company and which will increase the profitability of the online
clothing store. The high popularity of clothing and footwear as a segment of the electronic market is
considered.</p>
      <p>Correlation analysis of survey data was performed. Correlation coefficients were calculated. A
correlation matrix was constructed, and autocorrelation was established, which allowed establishing
that very little data correlate with each other and therefore do not depend on each other entirely. A study
of how consumers perceive the products and services offered in the clothing segment revealed that
clothes with higher ratings are more recommended to buyers. After buying a product, it was also found
that most people, about 80%, will recommend it and leave a positive response. Only 20% cannot
recommend this product and remain dissatisfied. Since we have analyzed and understood which clothes
are most often bought, we can conclude what we need to promote and emphasize to increase the store's
popularity and profitability. Accordingly, the things that have the lowest reviews and are not
recommended by buyers show the latter.</p>
      <p>Cluster data analysis was performed, and dendrograms of clothing sales responses were constructed
and analyzed. Due to the conclusions, we obtained from various research methods of the clothing sales
segment on the Internet, recommendations for improving the clothing sales system, and proposals for
developing new marketing measures.</p>
    </sec>
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