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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An Approach to the Integration of Qualitative and Quantitative Research Methods in Software Engineering Research</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>María Lázaro</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Esperanza Marcos</string-name>
          <email>esperanza.marcos@urjc.es</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Kybele Research Group Rey Juan Carlos University Madrid</institution>
          ,
          <country country="ES">Spain</country>
        </aff>
      </contrib-group>
      <fpage>757</fpage>
      <lpage>764</lpage>
      <abstract>
        <p>Two distinct research methods coexist in SE: quantitative methods, which seek to measure and analyze causal relationships between variables in a framework with free values, and qualitative methods, which examine the process of creating meanings from which new or improved theorems are generated. Applying these two methods separately to SE research, it becomes clear that the results obtained are incomplete and thus it is difficult to definitively choose between quantitative and qualitative methods when embarking on a specific research. To address this problem, a new research method based on integrating quantitative and qualitative methods is proposed.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        Research in Software Engineering (SE) has become increasingly important. It has
grown from being a disorganized field without standard journals to having an
important presence in the academic world [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. This fact is due to the youth of the discipline
of SE. This youth of discipline makes Software Engineering (SE) is always creating
needs (organizations are incorporating SE more and more and their demands are not
always adequately met) and these needs have to be satisfied through the investigative
process. However, research in SE is still in an immature stage and the lack of a
systematic and rigorous methodology is noticeable. There is also the need for clear
methods to validate and verify results, etc. Therefore, it might be said that research in SE
lacked sufficient “scientific” rigor [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ], [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
      </p>
      <p>
        Regarding methods, research in SE has been based mainly on the quantitative
perspective, except in the field of Information Systems, where the qualitative perspective
has been accepted for quite some time thanks to the need to deal with the complexity
of human behavior [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Nevertheless, as the human factor is present in
practically all the fields within SE, the use of qualitative methods to address this
behavior has become a need. Under these circumstances, a dilemma arises: what would
be best to use, quantitative research methods or qualitative research methods? In
certain situations, the answer is easy and the researcher is inclined to use one or the
other of the methods, but in the majority of cases the choice is not so simple. For
instance, if we want to research the efficiency of several chips to different
temperatures using the number of tasks chips can process per hour, we use a quantitative
research method of two factors: the type of chip and the different temperatures. On
the contrary, if we want to analyse how to improve the effectiveness and efficiency of
a project team, we use interviews, surveys, etc. and data will be analysed above all
using nets and matrixes. In this case, the experiment will be utterly qualitative.
Nevertheless, if we want to analyse the efficiency of a certain paradigm (time of
construction of an application) depending on the program language within a project team, we
will need a quantitative experiment with two factors: paradigm and type of language
and a qualitative experiment to study the human factor. This qualitative experiment
will show us the reasons for the quantitative results.
      </p>
      <p>To address this problem, this article discusses the differences between the
qualitative and quantitative methods and tries to find a solution to the problem of choosing
an SE research method. As a starting point and hypothesis, a research method is
proposed that implies the integration of qualitative and quantitative methods. The
hypothesis will be verified on the basis of paradigms and generally accepted knowledge,
examples and on the work of different authors who in different ways have sought to
justify such integration.</p>
      <p>The article is structured in the following way: section 2 discusses the application
of qualitative and quantitative methods, and establishes as a starting point, a possible
integration of said methods to solve research problems in this field; section 3, begins
a justification of the hypothesis based on the work of different authors and on the
basis of existing paradigms; and section 4 summarizes the main conclusions and
suggests future lines of research.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Quantitative Methods vs. Qualitative Methods</title>
      <p>
        The quantitative method proposes to measure and analyze causal relationships
between variables within a framework of free values [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. It is based on the positivism
that supports empirical research since all phenomena can be reduced to empirical
indicators that represent truth. This fact is due to the existence of one truth and is
independent of human perception. Therefore, the investigator and the thing
investigated are independent entities.
      </p>
      <p>Hence, quantitative research methods work with data in numerical form collected
from a representative sample and analyzed usually through statistical methods. The
ultimate objective is to identify the dependent and independent variables, eliminating
inadequate variables, and in this way reduce the complexity of the problem so that the
initial hypothesis can be confirmed or discarded.</p>
      <p>
        The qualitative method examines the process of assigning meanings. It is based on
interpretation and constructivism, taking into account that there exist multiple realities
and multiple truths based on the construction of a social reality that is constantly
changing. Therefore, the investigator and the object of study are interactively
intertwined in such a way that discoveries are created mutually within the context of the
situation that molds the investigation [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
Furthermore, qualitative research methods mainly analyze visual and textual data in
such a way that the sample is restricted to just a few or even only one example.
Hence, this type of method allows the complexity of the problem to be confronted,
keeping in mind that results are not the objective. Rather, the goal is to be able to
generate new theorems or improve existing ones.
      </p>
      <p>
        Opposite to what might be inferred from these definitions, one can not always
definitively choose between quantitative and qualitative methods. Accordingly, the
choice of the method to apply in SE research is itself becoming a subject of
investigation [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. We begin with the hypothesis that the integration of the
two methods could be the best option in some problems dealt with in SE research.
These situation would be Engineering problems not Scientific problems because
according to the object of study (both kinds of research problems have different
objects of study), the research process will be different and the kinds of problems must
be tackled by means of different research methods [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
      </p>
      <p>To study if this is true, their integration is analyzed in the following section.</p>
    </sec>
    <sec id="sec-3">
      <title>3 Integration of Quantitative and Qualitative Methods</title>
      <p>
        In this section, we have to keep in mind the current controversy in the social sciences
on choosing to use either qualitative or quantitative methods and that this debate
seems to be now being resolved, according to several authors [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] through
the integration of qualitative and quantitative methods. Thus, in the same way, it is
here proposed that the integration of qualitative and quantitative methods be
implemented in SE research.
      </p>
      <p>
        The real possibilities to integrate are those that arise in the social sphere since this
is a pioneering area in experimentation with qualitative and quantitative methods at
the same time. Hence, the most frequent situations to integrate qualitative and
quantitative approaches are (see figure 1):
 Complementation, where each operation is capable of revealing different,
interesting zones of reality due to quantitative and qualitative research is carried
out separately and afterwards, in the last stage, they are joined to complete
each other [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
 Combination, which seeks to achieve complementary results using the
strength of one method to improve another and carrying out an experiment
first and the other after the knowledge of the first results. Most frequently, a
qualitative pilot study is followed by a quantitative investigation [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
 Cross-validation or triangulation, which combines two or three theories or
data sources to study the same phenomenon and thus gain a more complete
understanding of said phenomenon. In other words, the obtained quantitative o
qualitative data will be validated by the other data since the type of results
should be the same.
      </p>
      <p>
        The first two research methods can be considered independent methods; the third is
interdependent [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
Complementation
      </p>
      <p>Triangulation</p>
      <p>CCoommplbeimnaentitoantion</p>
      <sec id="sec-3-1">
        <title>Anyway, a more detailed explanation can be found in [2].</title>
        <p>
          This classification underlines the importance of integration by complementation
since, remembering that quantitative and qualitative methods do not study the same
phenomena, integration of the two methods to make proposals of cross
validation/triangulation is not a viable option (cross validation is usually useful in the
combination of the two approaches to study the same phenomenon) On the other hand,
combining the two approaches in a complementary manner is not a good idea if the
ultimate objective is to study different aspects of the same phenomenon because the
this method can not hope to enhance the phenomenon being studied. Therefore, the
best choice is for the qualitative and the quantitative methods to be integrated, but
each method should study different phenomena (complementation) since any other
procedure will cause the loss and falsification of the information [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ].
        </p>
        <p>Nevertheless, the integration method that understands complementation in this way
is ambiguous. As a result, it was necessary to find a more precise complementation
integration method. The steps to be taken are the following:
1.
2.</p>
        <p>Use quantitative techniques, and list their deficits in the results: to do this, it is
necessary to analyze and check for the influence of the operational conditions
in the result obtained through the experimental technique chosen.</p>
        <p>Investigate why these results were obtained with quantitative methods,
through the use of qualitative methods that allow social aspects to be
emphasized.</p>
        <p>Last, integrate the quantitative and qualitative processes to obtain complete
results that include both technical aspects as well as social and cultural aspects.
To this end, both qualitative and quantitative results have to be carefully
analyzed as well as any possible integration techniques that allow an overall result
to be obtained from partial results obtained with each of the techniques.</p>
      </sec>
      <sec id="sec-3-2">
        <title>More precisely, the following steps are taken: 1. First, do a quantitative experiment without an accompanying qualitative experiment.</title>
        <p>2. Study the quantitative experiment in an overall way, above all with regard to
hypotheses and results but without extreme precision.
3. Generate questions that the researcher thinks are necessary to record
qualitative data in relation to previous study of the quantitative experiment. This data
recording will be done through interviews, surveys, observation, etc.
4. Redo the quantitative experiment but now include a qualitative experiment.
5. Analyze the results obtained in the quantitative experiment, verifying them
with the previously obtained results.
6. Analyze the results obtained in the qualitative experiment, keeping in mind the
previous analysis of the quantitative experiment:
 If the quantitative results of the two experiments coincide, the qualitative
results will be analyzed, with the objective of explaining these results.
 If the quantitative results of the two experiments vary, the cause of the
variance will be investigated.</p>
        <p>It must be remembered that this first qualitative experiment will only serve
as a first approach and that its results are not definitive.
7. Go back and re-plan both experiments, keeping in mind the previous results.
8. Study the quantitative experiment in a detailed way, especially the proposed
hypotheses and the results obtained, which are necessary for planning the
qualitative analysis. Based on this study, redo the planning of the qualitative
experiment, by eliminating the questions that do not allow results to be
obtained, by modifying those questions whose formulation is not clear, and by
creating new formulations that improve the obtained results.
9. Carry out the new quantitative and qualitative experiments.
10. Analyze both the quantitative and qualitative experiments.
11. Propose a final experiment in which the quantitative and qualitative parts are
joined. In other words, there are no limits in design and the two parts must
perfectly complement one another.</p>
        <p>12. Analyze the results of the last experiment, making final conclusions.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4 Justification and Validation of the Proposed Method</title>
      <p>
        A review of the bibliography on this subject provided a group of criteria to use to
justify the proposed method. The criteria for choosing this method were the
following:
First, the two approaches should be integrated because the goal of both is to explain
the world in which we live [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and both seem to share a unified logic and the same
rules of inference [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>
        Second, said methods are united in their shared commitment to understand and
improve the human condition, their common goal to disseminate knowledge for
practical uses, and their mutual dedication to rigor, conscience, and the critical process of
investigation [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ].
      </p>
      <p>
        Third, as observed previously [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], the integration of research methods is useful in
some research areas because the complexity of phenomena requires information from
a great number of perspectives. Thus, some researchers have mentioned the
complexity of the majority of social interventions requires the use of a wide spectrum of
qualitative and quantitative methods.
      </p>
      <p>Fourth, and our final point, until now in SE mostly quantitative techniques have
been applied, and they have been shown to be insufficient. Therefore, the integration
of qualitative and quantitative methods seems to be an appropriate solution.</p>
      <p>
        On the other hand, if one looks closely at the research paradigms, just as there are
evaluation paradigms for quantitative and qualitative methods, called positivist (for
the empirical sciences) or interpretative or constructive (for problems with a larger
social and cultural component), there are authors [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] who propose mixed
paradigms for social-technical development that supports the possibility to integrate
methods.
      </p>
      <p>In conclusion, it is noted that in SE research there exist two distinct methods:
quantitative methods, that are used to measure and analyze causal relationships between
variables within the framework of free values, and qualitative methods that are used
to generate new theorems or improve existing ones.</p>
      <p>In current research, above all there is a tendency to prefer technical investigation,
or, from a different perspective, there is a lack of interest in using the social aspect in
the analysis process that is a part of all research. This means that SE research
concentrates on emphasizing technical topics instead of behavioral topics and, in cases
where it examines the social side, it ignores the technical aspects.</p>
      <p>Therefore, if the two SE research methods are applied separately it is observed that
the results obtained are incomplete. Hence, it is difficult to choose definitively
between quantitative and qualitative methods for a specific research.</p>
      <p>Using integrated qualitative and quantitative methods in SE research is suggested
as an appropriate way of addressing this problem, and here a first approach to a new
research method is proposed that is similar to the implementation of integrated
qualitative and quantitative methods in the social sciences. Specifically, of the three types
of integration taken from the field of social sciences, complementation is chosen, and
this modified and redefined for improved usage in the field of SE.</p>
      <p>In summation, it must be pointed out that a more concrete application is needed to
be able to examine our results in a more detailed way. At the present, research is
being done in this regard in the SE field, although more studies will be needed to find
a totally generic method that offers an indication of when to use quantitative methods,
qualitative methods or an integrated method.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>This work is framed in the MIFISIS project (Research Methods and Philosophical
Foundations in Software Engineering and Information Systems) supported by the
Spanish Ministry of Science and Technology (TIC2002 - 12378 - E) and the GOLD
project supported by the Spanish Ministry of Education and Sciences (TIN2005-0010).</p>
    </sec>
  </body>
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