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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>O'Connor P. Is gendered power irrelevant in higher educational institutions?
Understanding the persistence of gender inequality. Interdisciplinary Science Reviews.</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Adaptation and application of the QSTEMHE questionnaire on gender stereotypes in STEM studies to the Brazilian context</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maura Angelica Milfont Shzu</string-name>
          <email>maura@unb.br</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sonia Verdugo-Castro</string-name>
          <email>soniavercas@usal.es</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alicia García-Holgado</string-name>
          <email>aliciagh@usal.es</email>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of Science and Engineering Technologies, FCTE, University of Brasília</institution>
          ,
          <country country="BR">Brazil</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>GRIAL Research Group, Dpt. of Didactics, Organization and Research Methods, University of Salamanca</institution>
          ,
          <addr-line>Salamanca</addr-line>
          ,
          <country country="ES">Spain</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>GRIAL Research Group, Research Institute for Educational Sciences, University of Salamanca</institution>
          ,
          <addr-line>Salamanca</addr-line>
          ,
          <country country="ES">Spain</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Proceedings XVI Congress of Latin American Women in Computing 2024</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>48</volume>
      <issue>4</issue>
      <abstract>
        <p>The gender gap in STEM fields (science, technology, engineering, and mathematics) is a global issue that affects not only the active and full participation of women but also social justice. In today's globalized world, where technology has permeated all areas of knowledge, it is urgent and necessary to strive for gender balance in every field to ensure the democratization of social benefits. All changes generate resistance, whether from agents who enjoy the privileges provided by a social structure with patriarchal influences, or from the class of people who are on the margins of society and accept the system due to cultural reasons. Brazil is one of the most unequal countries in the world, and the gender debate still faces many barriers. Understanding how people perceive gender-related issues is the first step toward building effective actions in favor of equity. This article aims to validate the QSTEMHE opinion instrument among university students regarding higher education in science, technology, engineering, and mathematics (STEM), initially designed for application in Spain. The questionnaire, distributed nationally, gathered a sample of 1,298 Brazilian higher education students. The adaptation to the language and context was carried out by a Brazilian individual and underwent a linguistic evaluation, considering the specific educational and cultural context. In the validation study, the questionnaire achieved theoretical construct coherence, a high correlation between the items, and the expected reliability for continued analysis.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The participatory inequality between men and women in society is a threat to sustainable
economic development and the well-being of all citizens. Removing the barriers that hinder the
promotion of diversity in the workplace is, therefore, an urgent and necessary task. Thus,
investigating the factors that lead women to distance themselves from STEM careers is the first
step in seeking effective solutions to minimize this issue, which, in addition to impacting social
justice, also jeopardizes human relations across all social strata.</p>
      <p>
        Thus, the QSTEMHE opinion research instrument [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], designed by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ] to analyze the gender
gap in STEM fields (Science, Technology, Engineering, and Mathematics) in Spain, was
translated and adapted to Brazil with the same objective [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The questionnaire was designed
for a descriptive cross-sectional study focusing on gender, perception and self-perception,
interest, attitude, and expectations related to science. It is a quantitative instrument that
includes a set of open-ended questions allowing for qualitative analysis. For the validation,
closed-ended items were considered, specifically, 18 sociodemographic questions and 24
Likertscale items where respondents indicate their agreement or disagreement [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. The responses are
measured on a 4-point scale: 1 being Totally disagree, 2 Disagree, 3 Agree, and 4 Totally agree.
Additionally, there are 5 questions to capture the participants' environment.
      </p>
      <p>Considering that the diversity between the two countries affects both language use and the
way a population group perceives and interprets the world, a validation study of the new
instrument is necessary. This procedure ensures the integrity and relevance of the instrument
in light of the cultural differences that define a nation. Furthermore, it opens up several
possibilities, such as analyzing the Brazilian profile on issues related to STEM fields and the
gender gap problem, conducting a comparative study between Brazil and Spain, reflecting on
the various topics addressed by the questionnaire, and, once the influencing factors governing
the issues have been understood, proposing more effective solutions for gender equality in
STEM.</p>
      <p>
        The factors that determine how individuals perceive themselves in STEM fields, for example,
are diverse and accompany them from their earliest life experiences. Carroll et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
highlighted that young people aged 16-18 from economically disadvantaged families with lower
educational attainment tend to have lower expectations of success in STEM fields, regardless of
gender. When it comes to women, cultural effects are added, as gender stereotypes reinforce
the social perception that competitive fields do not align with their nature. Given the diversity
of social profiles in Brazil, the sample collected through the analyzed instrument represents a
privileged and small segment of the country, as they have gained access to higher education.
Despite having the fourth-largest education system in the world, Brazil still graduates relatively
few individuals at the higher education level compared to other countries [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. In 2022, only
23.4% of Brazilians aged 25-34 had a higher education degree, a figure still significantly below
the OECD average of 46.9%. Spain, on the other hand, surpassed this mark with a percentage of
48.7% [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        Access to higher education in Brazil grants individuals social status, due to the prospect of
entering the labor market. The employment rate among people aged 25 to 34 with higher
education increases by 86%. For comparison, the income ratio between workers (aged 25 to 64)
with higher education and those with secondary education in Brazil in 2021 is 2.5, while in
Spain it is 1.5 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. However, the various factors contributing to the gender gap in STEM fields
and the difficulty women face in achieving full development in these areas place them among
the population group that receives the lowest salaries [10].
      </p>
      <p>Measures to promote gender equity in Brazil are still insufficient. Many factors contribute
to the persistence of gender inequality, such as the organizational structure of society [11]. On
the other hand, it must be acknowledged that there have been advances, despite the country
still scoring high in terms of gender inequality. Brazil ranks 57th in the 2023 Global Gender Gap
Index, out of 157 countries. Spain is in a better position, ranking 18th. Among the 21 Latin
American countries, Brazil is ranked 14th [10]. While Brazilian women make up the majority
of university graduates, 60.8%, their participation in STEM fields is still very low. In engineering,
manufacturing, and construction, as well as in computing and information and communication
technologies (ICT), they represented only 35.1% and 15.3%, respectively, in Brazil. In the fields
of Natural Sciences, Mathematics, and Statistics, women had a slight advantage with 53.1%
participation [12].</p>
      <p>Gender equality in STEM fields is an urgent and necessary goal, especially in a context where
technological advancements are rapidly evolving. Brazil has a long road to evolution in this
direction. The difficulties in implementing even digital inclusion and quality basic education
for all through gender equality initiatives. The immense social inequality, which prevents the
full development of a large percentage of its youth, reinforces the privileges of a society that
has yet to free itself from the exclusionary legacies of its colonization.</p>
      <p>Understanding how 21st-century youth perceive or self-perceive themselves in STEM fields,
considering their social and family context, is essential to fostering discussions on gender
equality, especially because it sheds light on an issue that has long been overlooked or obscured
by pseudosciences that link vocation to gender.</p>
      <p>
        Thus, the QSTEMHE questionnaire adapted for Brazil undergoes validation procedures
where the concordance of its content with the theoretical construct established by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3,13</xref>
        ], the
correlation between the items and the reliability of the instrument are analyzed. The items
presented, among them, high correlations, with adequate framework in their theoretical
constructs. Each of the dimensions allowed obtaining the expected results, coinciding with the
results obtained in Spain. In addition, the instrument presented a reliability indicator above 70%,
indicating the convenience of the continuity of the analyses.
      </p>
      <p>In order to address the validation, the present work has been organized into five sections.
The second section describes the methodology used to carry out the validation in the Brazilian
context. The third section presents the descriptive analysis of the sample obtained. The fourth
section performs the analysis of the case study carried out. And finally, the last section describes
the main conclusions of the study.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Methodology</title>
      <p>Before the dissemination of the opinion questionnaire, the QSTEMHE was translated publicly
and certified, with recognition by the District Federal Board of Trade and formally registered
under No. 1453, Book No. 16, Sheet No. 10. The questionnaire was submitted to the Ethics
Committee of CEP/CHS at the University of Brasília, whose certification for the presentation of
ethical review number 58603420.8.0000.5540 was approved with the opinion number 5.908.089.
The questionnaire underwent a linguistic evaluation and, regarding the format of the questions,
the authors took into account the specific educational and cultural context of Brazil,
incorporating changes mainly in the sociodemographic questions, and replacing certain terms
or concepts to ensure proper understanding. The changes were supervised by the Spanish team
in order to ensure construct validity, and they were also reviewed by several individuals of
Brazilian origin.</p>
      <p>
        The instrument is an opinion questionnaire, in which respondents participate anonymously
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. An age exclusion criterion was applied, targeting individuals over 18 years of age who were
currently attending or had recently completed their studies at higher education institutions in
Brazil, whether public or private, in any field of knowledge. It is important to note that Brazilian
higher education institutions award intermediate degrees—undergraduate (including technical
studies) and postgraduate degrees (specializations, advanced studies, master's, and doctorates)—
so no exclusion criteria were applied regarding the students' academic level.
      </p>
      <p>For dissemination throughout Brazilian territory, the provisions of Resolution 510 of
07/04/2016, Article 1, Sole Paragraph, Items I and V, were considered [14]. The questionnaire
was distributed electronically between May and September 2023, with the cooperation of
various sectors of Brazilian higher education institutions and also with the help of respondents,
who were able to share it with others in their network, thus forming a simple random
probabilistic sampling method known as snowball sampling.</p>
      <p>A sample of 1,298 respondents was obtained, and its representativeness and diversity were
verified through a descriptive analysis presented in Item III. Excel software was used for data
coding. Statistical analysis was performed using JASP, version 18.1, an open-access statistical
analysis platform supported by the University of Amsterdam. IBM SPSS Statistics 28 was also
used (licensed by the University of Salamanca).</p>
      <p>
        The analyzed model is first-order and preserved the five dimensions established by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ] for
the validation of the original theoretical framework. These are: Interest (INT), Perception and
Self-Perception (PAP), Gender Ideology (GI), Attitudes (AC), and Expectations about Science
(EXC).
      </p>
      <p>These dimensions and their associations are explored in order to validate the instrument
after its translation and application in Brazil. As a result of the validation, correlations between
different items and between the factors themselves are also verified. The verification of the
assumptions inherent to each variable, followed by factor extractions and rotations, model
adjustment, and the final model, are part of the Exploratory and Confirmatory Factor Analysis,
which form the theoretical path for the certification of the new construct.</p>
      <p>It is important to emphasize that the final model is ratified by the Confirmatory Factor
Analysis, which, as the name suggests, is conducted to confirm whether the model aligns with
the theoretical construct [15].</p>
    </sec>
    <sec id="sec-3">
      <title>3. Descriptive Analysis of the Sample</title>
      <p>To evaluate the representativeness and diversity of the sampling, as well as to understand the
data obtained, it is necessary to know the profile of the respondents. Among the higher
education students surveyed in Brazil, 43.53% are men and 54.54% are women, 0.85% preferred
not to answer, and 1.08% identified as non-binary. This is a relatively balanced sample in terms
of gender. The vast majority of respondents were born in Brazil, 98%. Regarding race, 58.9%
consider themselves white, 29.12% mixed-race, 9.48% Black, 1.70% Asian, and 0.8% Indigenous.</p>
      <p>Most respondents live in urban areas, 91.76%, with 4.93% living in intermediate zones and
2.85% in rural areas. Although the definition of these zones is somewhat complex in Brazil, only
0.46% reported being unable to define the area they live in. While Spain classifies these areas by
population size [16], in Brazil, the classification is based on functional size, urbanization,
functional specialization, accessibility, concentration and diversification associated with
industrialization, the predominance of the textile and food sectors, among others [17].</p>
      <p>
        Of the total respondents, 51.31% are young people, according to the United Nations criteria
[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], meaning they are between 18 and 24 years old, with 51.15% of the men and 50.71% of the
women surveyed falling within this age group. Among all respondents, a larger percentage,
58.57%, are aged between 21 and 25 years, with 41.8% of men and 55.13% of women.
      </p>
      <p>Of the total sample, 43.45% have completed at least one university course, with 41.13% of
men and 57.62% of women distributed across this percentage. The percentages of respondents
who have completed or are currently pursuing a bachelor’s degree, master’s, doctorate, and
specialization are 64.22%, 17.66%, 14.42%, and 3.70%, respectively.</p>
      <p>Analyzing by race those who have completed or are currently pursuing a bachelor’s degree,
55.82% identify as white, 31.45% as mixed-race, 9.60% as Black, 1.92% as Asian, and 1.20% as
Indigenous. Of those who have completed or are pursuing a master’s, 64.19% identify as white,
26.64% as mixed-race, 7.86% as Black, 0.87% as Asian, and 0.44% as Indigenous. Of those who
have completed or are pursuing a doctorate, 66.84% identify as white, 22.46% as mixed-race,
9.09% as Black, and 1.60% as Asian. These percentages reflect a national trend, although in
unequal proportions. The National Council for Scientific and Technological Development
(CNPq), in its latest statistical report on research groups, indicates that the presence of Black
and mixed-race individuals decreases at higher levels of education. Although the quota policy
in Brazil has facilitated the access of Black and mixed-race individuals to higher education, so
much so that by 2017 they made up 48.45% of enrolled students, the DGP Census in 2023
recorded only 13.42% at the doctoral level. At this academic level, 75.23% are white, 1.25% are
Asian, and 1.11% are Indigenous [19].</p>
      <p>In Brazil, although the private network accounts for 78% of the higher education system [20],
its communication channel for disseminating the research instrument proved to be less
accessible, which explains why the majority of participants came from the public higher
education network, 89.43%. Only 8.63% came from the private network, and 1.94% studied in
both types of higher education institutions—public and private. Brazil has 2,595 higher
education institutions, but only 296 of them are public [21].</p>
      <p>Among all respondents, 35.62% studied at higher education institutions in the Southeast
region, 23.07% in the South, 19.49% in the Northeast, 17.93% in the Center-West, 2.96% in the
North, and 0.94% studied in institutions from more than one region, as shown in Figure 1. In
Brazil, the Southeast region is the most populous and has the highest number of enrollments,
followed by the Northeast (the second most populous region but with the lowest national
enrollment rate per capita) and the South. The North region has the lowest number of
enrollments [22].</p>
      <p>It was identified in the sampling that there was a balance in data collection regarding the
fields of knowledge, with 43.74% of respondents coming from non-STEM areas and 56.26% from
STEM areas. In this sample, 69.04% of men and 45.9% of women are from STEM fields. Here, the
imbalance in STEM areas, although not in the same proportion as what is known in Brazil,
aligns with the country's and global trends, even though the gap between fields is greater than
that observed in the collected sample.</p>
      <p>The vast majority of respondents study or have studied their first-choice university course,
69.18%. Another 20.95% study or have studied their second choice. Of the total respondents,
84.75% expressed satisfaction with their study choices, with 45.03% from non-STEM courses and
54.97% from STEM courses.</p>
      <p>Before entering university, 80.20% of respondents had an interest in STEM fields, including
85.84% of men and 76.13% of women. A total of 56.55% of respondents had participated in STEM
activities, including 58.58% of men and 54.66% of women. A total of 27.73% of respondents had
completed vocational training, of which 39.72% studied Engineering and Architecture, with
72.14% being men and 27.86% women; 22.22% studied Science fields, with 41.77% being men and
58.23% women; 14.17% studied Social and Legal Sciences, with 42% being men and 58% women;
12.50% studied Health Sciences, with 37.78% being men and 62.22% women; 11.39% studied Arts
and Humanities, with 31.71% being men and 68.30% women.</p>
      <p>Lastly, 32.67% of respondents were classified as coming from a middle socioeconomic
background, 42.14% from a low to lower-middle background, and 23.65% from a high to
uppermiddle background. Of the parents with higher education, 44.53% are mothers and 36.13% are
fathers. As shown, in the respondents' generation, women tend to have a higher level of
education.</p>
      <p>
        The descriptive statistics for each dimension showed means and standard deviations similar
to those obtained by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ], as shown in Table 1, meaning that the response trends and variability
corroborate their conclusions.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Data Analysis</title>
      <p>
        The analysis of the data for instrument validation is an essential step in ensuring the reliability
of the conclusions drawn. The study of correlations between variables, for example, is important
as it allows us to verify whether the five dimensions of the theoretical construct created by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ]
can also explain the proposed hypotheses when the evaluation instrument is the questionnaire
adapted for Brazil. Although the items have been separated by dimensions, each explaining
their corresponding proposed hypotheses, all the variables are also correlated with each other
to a greater or lesser extent. This condition occurs when the data are not spherical. The Bartlett's
test of sphericity is used to measure the correlation between the items, which is significant
when its value is less than 0.05. For the studied sample, the p-value is equal to zero, thus
confirming the expected condition of non-sphericity.
      </p>
      <p>Partial correlations are evaluated using the Kaiser-Meyer-Olkin (KMO) test. The correlations
among the items are sufficiently high, with a KMO result above 0.6 and an overall value of 0.818.
These values indicate the appropriateness for continuing the analyses. Additionally, the p-value
&lt;0.001 obtained in the Bartlett's test of sphericity confirms the significance of these
correlations..</p>
      <p>
        To distribute the weights (factor loadings) of the items among the extracted factors, the
oblique rotation technique OBLIMIN is used, as all items in this study are correlated [23]. This
technique identifies the dimension of each item by maximizing the weight, as shown in Table
2. Thus, the extracted factors indicated that only two items did not fit within their theoretical
constructs: items (27) and (37), which were therefore decided to be removed. The majority of
the items have weights above 0.4 (17 out of 24 items) and maintained their placement in relation
to the theoretical construct of [
        <xref ref-type="bibr" rid="ref2 ref3">2,3,13</xref>
        ].
      </p>
      <p>After removing items (27) and (37) due to their low factor loadings, it was verified that the
correlations between items remain sufficiently high. All KMO values are above 0.6, with a
general KMO of 0.795. Although some items have weights below 0.4, they remain in the
instrument because they provide coherence to the dimensions, and since this is an opinion
questionnaire, greater variability in responses can be expected.</p>
      <p>In Table 3, it is verified that the percentage of total variance explained by the model is 39.4%,
which is adequate as it is explanatory of the model [24]. Additionally, the distribution of the
percentage of variance among the rotated factors is shown to be equitable, varying between
0.071 and 0.086, again indicating that the model, with the five established dimensions, is
satisfactory.</p>
      <p>To measure the extent to which each dimension is able to explain the theoretical construct,
the Average Extracted Variance was calculated. The five dimensions account for a percentage
of variance that satisfactorily explains what they propose, with significant precision. The
Interest dimension presented a slightly lower weight, but it is very close to what is acceptable.
The Average Extracted Variance is equal to the sum of the squares of all the standardized
coefficients divided by the number of indicators in the domain.
24 25 27 33 34 26 28 29 35 37 38 39
INT 0,132 0,136 0,073 -0,007 -0,010 -0,069 0,056 0,132 -0,015 0,515 0,188 0,497
PAP 0,079 0,073 -0,118 -0,055 -0,004 0,050 0,029 -0,005 0,005 0,066 -0,001 -0,064
IG -0,205 0,037 0,468 0,114 0,077 0,496 0,575 -0,340 0,304 -0,038 0,574 0,320
EXC 0,045 -0,018 -0,013 -0,034 -0,014 -0,022 -0,006 0,281 -0,051 -0,045 -0,059 -0,049
AC 0,541 0,250 0,093 0,646 0,719 0,141 0,159 -0,014 0,081 0,106 -0,030 -0,100
Dim. Items</p>
      <p>30 31 32 36 40 41 42 43 44 45 46 47
INT 0,467 0,616 0,358 0,487 0,685 -0,037 0,036 0,100 0,019 -0,012 -0,030 0,036
PAP 0,114 -0,051 -0,045 -0,108 0,039 0,895 0,919 0,179 0,376 -0,018 0,032 -0,030
IG -0,134 -0,009 0,100 0,271 -0,009 0,020 0,005 0,098 -0,021 0,002 0,046 -0,024
EXC 0,087 -0,024 -0,091 0,019 -0,017 -0,023 0,015 0,120 0,056 0,753 0,741 0,624
AC 0,084 0,004 0,095 -0,052 0,053 -0,004 -0,015 0,002 0,130 0,009 -0,013 -0,007
Source: Own elaboration</p>
      <p>The obtained indices, while satisfactory, do not fully explain the theoretical construct. It is
important to acknowledge the limitations of the instrument and its sample, such as the gender
imbalance and the variation in fields of knowledge among the respondents. Additionally,
external factors beyond the researcher's control may bias the results [25].</p>
      <p>Regarding the dimensions of Gender Ideology, Attitude, Interest, Perception,
SelfPerception, and Expectations about Science, the predictive variables included in the model can
explain 49.78%, 47.12%, 39.22%, 50.87%, and 67.77% of the total dimension, respectively, resulting
in significant precision. Considering that the questionnaire is opinion-based, the minimum
recommended value is 40%.</p>
      <p>Other fit measures that have been considered include the Root Mean Square Error of
Approximation (RMSEA), which had a value of 0.072; the Goodness of Fit Index (GFI), the
Comparative Fit Index (CFI), the Incremental Fit Index (IFI), and the Tucker-Lewis Index (TLI),
all of which were above 0.9, indicating a good fit of the model.</p>
      <p>The normality test was conducted on five variables representing the items of each
dimension: IG, AC, INT, PAP, and EXC. These variables are constructed by aggregating the
elements. This test is performed to verify the compliance with the condition of a normal
distribution of the data, with most of its values close to the mean – Null Hypothesis, H0. When
contradicted, the alternative hypothesis (H1) is assumed.</p>
      <p>The K-S test (Kolmogorov-Smirnov) was used, as the sample size is greater than 50. The
pvalue result for the five dimensions is below 0.05, indicating that there are significant
differences for the sample. The SPSS-derived test uses the Lilliefors significance correction
method to bypass sample limitations. Table 4 presents the descriptive values, including the
maximum and minimum values of the aggregated variables, as well as the mean, standard
deviation, variance, skewness, and kurtosis, which, for the studied sample, suggest a
nonnormalized distribution of the data.</p>
      <p>The results show, through the observed statistical mean in Table 4, that the average response
values for the dimension of Expectations about Science are the highest, indicating strong
agreement that science is useful in daily and scientific life. On the other hand, the average
response values for the other four dimensions indicate that the sample rejects the analyzed
stereotypes related to Gender Ideology (IG), Attitude (AC), Interest (INT), and Self-Perception
(PAP). However, in the PAP dimension, the standard deviation indicates that the sample
exhibits greater variability in responses, with individuals potentially being completely in
disagreement or agreement with the items. This suggests that caution should be taken regarding
the biases these responses may identify. The skewness measures indicate that the IG and EXC
dimensions present negative skewness, where the majority of the data is located on the right
side of the axis. The kurtosis measure indicates that all dimensions, except EXC—which shows
a significant concentration in the central region of the distribution—have data that are more
spread out along their frequency histogram.</p>
      <p>Through the significance levels of the K-S test, which showed a value below 0.05 for all
variables, the results also demonstrate that the distribution of the test is non-normal, leading to
the rejection of the null hypothesis.</p>
      <p>The correlations between the factors were evaluated, and as seen in Table 5, there is a strong
correlation between the Interest (INT) dimension and both Gender Ideology (IG) and Attitude
(AC); a moderate correlation with the Expectations (EXC) dimension; and a low correlation
with Self-Perception (PAP). The PAP dimension shows a moderate correlation with IG, AC, and
EXC. The IG dimension correlates well with AC and EXC. In summary, the dimensions INT and
IG; INT and AC; IG and AC; and IG and EXC are well related to each other.</p>
      <p>To analyze the reliability of the model, once the ordinal items that are part of a 4-point Likert
scale are assessed, and considering that the model does not present a normal distribution, a
Weighted Least Squares (DWLS) parameter estimator is used. For calculating the error using
JASP, the robust method is chosen. All options are selected for standardization. Lavaan is chosen
as the Mimic package to emulate results that would be presented using more common software.</p>
      <p>Composite Reliability was analyzed to determine whether the constructs were interrelated.
The average extracted variance was taken and divided by the sum of the squares of all
standardized coefficients and the sum of the mean errors. Its interpretation is similar to that of
Cronbach's Alpha, where values above 0.7 are considered reliable. Index values ranged from
0.74 to 0.86, indicating good reliability.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion y Conclusions</title>
      <p>
        The validation study of the QSTEMHE instrument has shown that, after its translation and
adaptation for application in Brazil, it maintained coherence with the theoretical construct; that
is, all items are correlated, while more strongly related groupings are also identified. Thus, the
statistical values confirmed the instrument's ability to predict each variable with greater
accuracy regarding each content designed by [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ].
      </p>
      <p>The model proved satisfactory through the values of total variance explained, with the five
well-established dimensions perfectly capable of explaining what they propose. Other statistical
measures indicated a good fit of the model.</p>
      <p>The sample collected, after undergoing descriptive analysis, was representative and showed
a balanced distribution within the Brazilian context. Additionally, the profile of the participants
matched many aspects of the profile of the Spanish sample; for example, the majority of
individuals in the respondents' immediate surroundings who had pursued STEM were men. The
frequency of males was 59.31%, compared to 57.01% in Spain.</p>
      <p>
        The instrument demonstrated high reliability, and its statistical evaluation validates the
development of the analysis phase of university students' opinions on higher education in
science, technology, engineering, and mathematics. In this way, shedding light on the opinions
of these Brazilian students is an attempt to understand the dynamics that sustain the gender
gap in STEM fields in Brazil, as [
        <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
        ] did in Spain. With an accurate diagnosis, effective solutions
can be found.
      </p>
      <p>It is important to emphasize that the subjectivity inherent in the nature of emotions, human
behavior, and historical constructs imposes certain limitations on the analyses. Considering the
need for individuals to justify their opinions, feelings, and attitudes, the collected data may not
reflect people's actual thoughts, but rather what they say they think [25]. These aspects can
lead to variations in the recorded opinions. However, the importance of conducting research
through surveys cannot be understated, as it provides direction toward a better understanding
of the issue despite its biases.</p>
      <p>Ultimately, this study broadens the possibilities for advancing understanding from a more
comprehensive perspective. Comparing the results from Brazil and Spain is a further step in
this research, allowing us to appreciate how different cultural contexts influence the opinions
of a group that has access to higher education. Once inferential analyses are conducted, the
results may indicate more effective solutions for addressing gender inequality in STEM fields.</p>
    </sec>
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