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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The Effect of Sensitivity Analysis on the Usage of Recommender Systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Martina Maida</string-name>
          <email>martina.maida@wu.ac.at</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Konradin Maier Nikolaus Obwegeser</string-name>
          <email>konradin.maier@wu.ac.at</email>
          <email>konradin.maier@wu.ac.at nikolaus.obwegeser@wu.ac.at</email>
          <email>nikolaus.obwegeser@wu.ac.at</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volker Stix</string-name>
          <email>volker.stix@wu.ac.at</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Vienna University of Economics and Business</institution>
          ,
          <addr-line>Augasse 2-6, 1090 Vienna</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Vienna University of Vienna University of, Economics and Business Economics and Business</institution>
          ,
          <addr-line>Augasse 2-6 Augasse 2-6, 1090 Vienna 1090 Vienna</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Vienna University of</institution>
          ,
          <addr-line>Economics and Business, Augasse 2-6, 1090 Vienna</addr-line>
        </aff>
      </contrib-group>
      <fpage>15</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>Recommender systems have become a valuable tool for successful e-commerce. The quality of their recommendations depends heavily on how precisely consumers are able to state their preferences. However, empirical evidence has shown that the preference construction process is highly a ected by uncertainties. This has a negative impact on the robustness of recommendations. If users perceive a lack of accuracy in the recommendation of recommender systems, this reduces their con dence in the recommendation generating process. This in turn negatively in uences the adoption of recommender systems. We argue in this paper that sensitivity analysis is able to overcome this problem. Although sensitivity analysis has already been well studied, it was ignored to a large extent in the eld of recommender systems. To close this gap, we propose a research model that shows how a sensitivity analysis and the presence of uncertainties in uence decision con dence and the intention to use recommender systems.</p>
      </abstract>
      <kwd-group>
        <kwd>Recommender systems</kwd>
        <kwd>sensitivity analysis</kwd>
        <kwd>uncertainties in preference construction</kwd>
        <kwd>technology acceptance</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Categories and Subject Descriptors</title>
      <p>H.3.3 [Information Search and Retrieval]; J.4 [Social
and Behavioral Sciences]
Paper presented at the 2012 Decisions@RecSys workshop in
conjunction with the 6th ACM conference on Recommender Systems. Copyright
c 2012 for the individual papers by the papers’ authors. Copying
permitted for private and academic purposes. This volume is published and
copyrighted by its editors.</p>
    </sec>
    <sec id="sec-2">
      <title>1. INTRODUCTION</title>
      <p>
        Recommender systems (RS) have become an important
tool for successful e-commerce. They help consumers in
ecommerce settings to overcome the problem of information
overload, which they often face due to the vast amount of
available products and of product-related information. From
a consumers-perspective, the main task of RS is to support
nding the right product. Independent from technical
considerations, all RS have in common that they require
information about their users in order to provide personalized
recommendations. This information is basically the
consumers' preferences which serve as input for the
recommendation-generating algorithm [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. Thus, the users'
preferences are clearly of high importance for the quality of the
RS' output and the more precise the preferences correspond
to the user's \real" needs, the more accurate will be the
recommendation of the system.
      </p>
      <p>
        The problem we want to address here is that the
preferences of consumers as well as their measurement are subject
to irreducible arbitrariness [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], which potentially has a
negative impact on the quality of a RS's recommendation and
on the adoption of RS. To overcome this problem, we
propose to integrate sensitivity analysis into RS. The
remainder of this paper is structured as follows. The next Section
describes the uncertainties related to the measurement of
preferences and the implications for RS design. Section 3
provides a short overview of SA methods and possible ways
to address uncertainties as well as similar problems of
supporting consumers via RS. We will propose a research model
in Section 4 and hypothesize how SA and uncertainties in
the process of generating recommendations are related to RS
usage. The planned methodology for testing our hypotheses
is presented in Section 5. Finally, we provide a short
discussion of our model and present further research opportunities
in Section 6.
2.
      </p>
    </sec>
    <sec id="sec-3">
      <title>UNCERTAINTY AND RECOMMENDER</title>
    </sec>
    <sec id="sec-4">
      <title>SYSTEMS</title>
      <p>
        Humans often face decisions which have to be made based
on beliefs regarding the likelihood of uncertain events like
future prices of goods or the durability of a product [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
Here, uncertainty refers to a state of incomplete knowledge,
which is usually rooted in either the individual's lack of
information or in his limited resources to rationally process
the available information [
        <xref ref-type="bibr" rid="ref18 ref4">4, 18</xref>
        ].
      </p>
      <p>
        The latter source of uncertainty - limited information
processing capabilities - is the rationale underlying the idea to
support consumers in making their decisions by providing
personalized recommendations. In this sense, it is the
function of RS to mitigate the information overload which
consumers often face in e-commerce settings [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. As research
in RS deals with bounded rational consumers, it has to
acknowledge that consumers face uncertainties while making
their purchase decisions, even if they are supported by a
RS. The origins of uncertainty in a RS-facilitated purchase
decision can be manifold. For example, a consumer might
ask himself whether the model underlying the RS is indeed
appropriate to support him or whether the complex
calculations underlying a recommendation have been solved
accurately or in a more heuristic way [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Another important
source of uncertainty is the consumer. Often, it is assumed
that decision makers have stable and coherent preferences
and sometimes it is even supposed that they accurately know
these preferences [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. However, there is vast empirical
evidence that these assumptions do not model real world
decision makers very well. For example, it is commonly known
that the answers of a decision maker who is requested to
explicitly state his preferences are at least partly dependent
on the framing of the questions and on what response is
expected [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ]. These and other empirically observed
deviations from rationality led to the notion that humans do
not have well-de ned preferences which can be elicited but
that we construct preferences on the spot, usually by
applying some kind of heuristic information processing strategy.
Consequently, our preferences are \labile, inconsistent,
subject to factors we are unaware of, and not always in our own
best interests" [9, p.2].
      </p>
      <p>
        For the e ort to support consumers with the help of RS
such instable preferences pose a serious problem. RS try to
support consumers by providing personalized
recommendations based on the consumer's preferences. Independent of
how the RS measures the preferences of the consumer
(either explicitly by asking the consumer or implicitly by
observing his behavior), the ad-hoc construction of preferences
implies that RS have to deal with an uncertain information
base to make recommendations (cf. [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]), which might lead to
inaccurate and therefore unhelpful recommendations.
Moreover, a consumer who faces a recommendation of a RS might
perceive a state of uncertainty regarding the
recommendation's quality because the choice of the
recommendationgenerating algorithm, its inputs (the preferences) as well as
its computation are a icted with uncertainties. The work of
Lu et al. [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] shows that a major reason for the rejection of
decision support technologies is that humans are skeptical
whether the respective technology is indeed able to
accurately model their preferences. In other words, the
uncertainties related to technologically derived recommendations
might hamper the adoption of RS. In order to avoid these
problems, RS have to address the uncertainties related to
the generation of recommendations. Here, we propose to
incorporate SA into RS to overcome this challenge.
      </p>
    </sec>
    <sec id="sec-5">
      <title>3. SENSITIVITY ANALYSIS</title>
      <p>
        Sensitivity analysis is a widely used tool in various
disciplines, like in chemical engineering, operations research or
management science [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. According to French [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], a
common de nition of SA involves the variation of input variables
to examine their e ect on the output variables. In the case
of RS, inputs refer to preferences of consumers and
output means the recommendation of the system. Thus, SA
is a valuable tool for detecting uncertainties in inputs,
veri cation and validation of models as well as demonstrating
the robustness of outputs. De nition and purpose however
vary depending on the eld of application [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Furthermore,
there are di erent SA methods. They are classi ed e.g. in
mathematical, statistical and graphical methods [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] or in
local and global SA methods depending if the input variables
are varied over a reduced range of value or over the whole
domain [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Both classes allow to vary \one factor at a time"
(OAT) or several variables simultaneously (VIC - variation
in combination). Some researchers (e.g. [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]) argue that a
variance-based, global SA with VIC is especially useful for
comparing input variables and identifying uncertainties.
      </p>
      <p>
        Although SA is in general a well-studied topic, it is
ignored to a large extent in the eld of RS. Papers that treat
SA as tool for decision support systems are typically from
the eld of multi-criteria decision making. They explain for
instance how SA demonstrates robust solutions or illustrates
the impact of input variations [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. A reason why SA should
be integrated in decision support systems is that it addresses
certain drawbacks, like a possible lack of transparency. By
considering RS, this would mean that consumers do not
receive the possibility to understand why a particular product
was recommended. Thus, consumers are not able to detect
uncertainties that were introduced during preference
elicitation. As argued by [19, p. 831] \(...) users are not just
looking for blind recommendations from a system, but are
also looking for a justi cation of the system's choice.". A
possibility to provide justi cations are explanation facilities.
An approach that was found in literature is to regard SA as
being similar to an explanation facility [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. It facilitates
the involvement of users and increases transparency of the
recommendation generating process [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. An integrated SA
permits users to interact with the system such that they are
able to explore possible variations of the inputs and see how
their changes in uence the robustness of the
recommendation. A SA is therefore especially important when
uncertainties in the inputs are present. In contrast to the various
types of explanation facilities, it is based on formal sciences
and is thus capable of providing objective explanations.
      </p>
    </sec>
    <sec id="sec-6">
      <title>RESEARCH MODEL AND HYPOTHESES</title>
    </sec>
    <sec id="sec-7">
      <title>DEVELOPMENT</title>
      <p>
        Based on the descriptions of the problem of
uncertainties and the characteristics of SA we will derive a research
model for RS usage in this Section. In order to understand
how SA is related to the adoption of RS, we integrate
sensitivity analysis, perceived uncertainty and decision con dence
in a common model of RS usage. The de nitions of these
concepts are given in Table 1. Our model builds on
technology acceptance research and its most prominent model, the
technology acceptance model (TAM) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Figure 1 illustrates
the proposed model. Sensitivity analysis represents the
design feature of interest, decision con dence and perceived
uncertainty are used to describe the link between the
design feature and RS use in detail. The following paragraphs
separately discuss each proposition of our model.
      </p>
      <p>
        Basically, a SA can lead to two di erent results:
Depending on inputs and model parameters, it will either con rm
or disprove the robustness of the recommendations provided
by the RS. Though we acknowledge that the output of a
SA depends on the speci c situation and that the concrete
outcome of the SA is likely to in uence the user's
perceptions, we argue that there is also an e ect which is
independent from such contingencies (see also Section 6). SA helps
users to lter out those recommendations which are robust
to uncertainties and which thereby represent good choices
independent from changes in the inputs [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Therefore, we
hypothesize that
      </p>
      <sec id="sec-7-1">
        <title>H1: Sensitivity analysis will increase users' decision con dence.</title>
        <p>The only task which RS perform is to search and suggest
decision alternatives on behalf of their users. If a user is
not sure whether a RS provides recommendations which
match his needs or not, the only reason to use a RS
vanishes. Therefore, we hypothesize that</p>
      </sec>
      <sec id="sec-7-2">
        <title>H2: Decision con dence will positively a ect perceived usefulness of recommender systems.</title>
        <p>
          SA is a tool which demonstrates how the output varies when
inputs are changed. This enables user not only to analyze
di erent scenarios and to search for robust recommendations
but also to learn about the RS and how it generates
recommendations. In this function, SA might be directly related
to perceived usefulness of the RS regardless of its impact on
decision con dence and independent from whether it
conrms the robustness of the recommendation or not. Based
on this argument and on the experiences of Payne et al. [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ]
that user perceive SA as a valuable tool, we hypothesize that
        </p>
      </sec>
      <sec id="sec-7-3">
        <title>H3: Sensitivity analysis will positively in uence perceived usefulness of recommender systems.</title>
        <p>We argue that this relationship is moderated by the degree
of perceived uncertainty: Consider a user who does not
perceive any uncertainty related to the output of a RS. For such
a user a SA is of little to no value. But the more the user
perceives that the recommendation generating process is prone
to uncertainties, the more useful is a feature which allows
to explore the impact of the uncertainties on the outcomes.
Therefore, we hypothesize that</p>
      </sec>
      <sec id="sec-7-4">
        <title>H4: Perceived uncertainty will moderate the inuence of sensitivity analysis on perceived usefulness of recommender systems.</title>
        <p>The relationship between perceived uncertainty and decision
con dence is similar to H4. If users perceive that a
recommendation is based on an uncertain information base or if
they are not sure about the appropriateness of the
recommendation generating algorithm, they are likely not con
dent about the quality of the recommendation. Therefore,
we hypothesize that</p>
      </sec>
      <sec id="sec-7-5">
        <title>H5: Perceived uncertainty will negatively in uence decision con dence.</title>
        <p>5.</p>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>PROPOSED METHODOLOGY</title>
      <p>We will conduct a laboratory experiment to test our
hypotheses. We will use a 2 x 2 full factorial design with SA
and perceived uncertainty as independent variables.
Participants will be asked to use a RS for online shopping which
explicitly demands from users to make trade-o s in
preference construction. They will be randomly assigned to a
treatment group and a control group which allows us to
manipulate SA and perceived uncertainty. We will choose
purchase decisions with low/high familiarity to induce high/low
levels of perceived uncertainty. After nishing the shopping
task, questionnaires will be delivered to the participants to
assess the proposed relationships.</p>
      <p>
        Before we are actually able to conduct the experiment,
we will develop new measures for the constructs perceived
uncertainty and decision con dence by adopting the method
of Moore and Benbasat [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] for instrument development.
The validity and reliability of the items will be tested by
a factor analysis in a pilot test. Items for the remaining
constructs will be taken from already validated scales, for
instance from Davis [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] for perceived usefulness.
      </p>
      <p>
        To test our experimental design, we will conduct a t-test
in order to check the manipulation of perceived uncertainty
via familiarity of the purchase task. For testing our
hypotheses we will use structural equation modeling (SEM). As our
study is the rst one regarding the impact of SA and
uncertainty on RS usage, it has an exploratory character. To
manage the risks associated with exploratory research, we
will keep the sample size rather low (about 10 participants
per indicator [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]). To deal with the small sample size and the
exploratory character of our research, we will use a partial
least squares approach (component-based SEM) [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
      </p>
    </sec>
    <sec id="sec-9">
      <title>DISCUSSION AND CONCLUSIONS</title>
      <p>Based on a literature review, we have argued that the
process of generating recommendations for e-commerce users
involves uncertainties, especially regarding the measurement
of preferences, which might lead to users who feel insecure
about the quality of a RS's recommendations. Moreover, we
hypothesized that if users do not feel con dent about a RS's
recommendations, they will not perceive RS as useful and
thus are less likely to adopt the RS. We proposed to
incorporate SA into RS to overcome the problems associated with
uncertainties. SA is a tool which enables users to explore
how changes in the inputs of the recommendation
generating process (the users' preferences) are related to changes in
the output of the process (the recommendations). SA can
be used to check the robustness of recommendations which
should help users to build con dence in the system's advice
and the decision. Finally, we proposed a conceptual model
and corresponding hypotheses of how uncertainties, decision
con dence and SA are related to the adoption of RS.</p>
      <p>As outlined in Section 5 our next step is the empirical
testing of the proposed model by conducting a laboratory
experiment. Further research opportunities include
theoretical work on how SA can be incorporated into the various
forms of RS, not only on computational level but also on the
level of user interface design and how the outcomes of SA
are related to user perceptions.</p>
    </sec>
    <sec id="sec-10">
      <title>ACKNOWLEDGMENTS</title>
      <p>This research has been funded by the Austrian Science
Fund (FWF): project number TRP 111-G11.</p>
    </sec>
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