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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The fault, dear researchers, is not in Cranfield, But in our metrics, that they are unrealistic.</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mark D. Smucker</string-name>
          <email>mark.smucker@uwaterloo.ca</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Charles L. A. Clarke</string-name>
          <email>claclark@plg.uwaterloo.ca</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Management Sciences, University of Waterloo</institution>
          ,
          <country country="CA">Canada</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>School of Computer Science, University of Waterloo</institution>
          ,
          <country country="CA">Canada</country>
        </aff>
      </contrib-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. INTRODUCTION</title>
      <p>
        As designers of information retrieval (IR) systems, we
need some way to measure the performance of our systems.
An excellent approach to take is to directly measure actual
user performance either in situ or in the laboratory [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. The
downside of live user involvement is the prohibitive cost if
many evaluations are required. For example, it is common
practice to sweep parameter settings for ranking algorithms
in order to optimize retrieval metrics on a test collection.
The Cranfield approach to IR evaluation provides low-cost,
reusable measures of system performance.
      </p>
      <p>
        Cranfield-style evaluation frequently has been criticized as
being too divorced from the reality of how users search, but
there really is nothing wrong with the approach [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. The
Cranfield approach effectively is a simulation of IR system
usage that attempts to make a prediction about the
performance of one system vs. another [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>As such, we should really be thinking of the Cranfield
approach as the application of models to make predictions,
which is common practice in science and engineering. For
example, physics has equations of motion. Civil engineering
has models of concrete strength. Epidemiology has models
of disease spread. Etc. In all of these fields, it is well
understood that the models are simplifications of reality, but that
the models provide the ability to make useful predictions.</p>
      <p>Information retrieval’s predictive models are our
evaluation metrics.</p>
      <p>The criticism of system-oriented IR evaluation should be
redirected. The problem is not with Cranfield — which is
just another name for making predictions given a model —
the problem is with the metrics.</p>
      <p>We believe that rather than criticizing Cranfield, the
correct response is to develop better metrics. We should make
metrics that are more predictive of human performance. We
should make metrics that incorporate the user interface and
realistically represent the variation in user behavior. We
should make metrics that encapsulate our best
understanding of search behavior.</p>
      <p>
        In popular parlance, we should bring solutions, not
problems, to the system-oriented IR researcher. To this end,
we have developed a new evaluation metric, time-biased
gain (TBG), that predicts IR system performance in
human terms of the expected number of relevant documents
to be found by a user [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
      </p>
      <p>Presented at EuroHCIR2012. Copyright (C) 2012 for the individual papers
by the papers’ authors. Copying permitted only for private and academic
purposes. This volume is published and copyrighted by its editors.
2.</p>
    </sec>
    <sec id="sec-2">
      <title>TIME-BIASED GAIN</title>
      <p>
        HCI has a long history of automated usability
evaluation [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], and indeed, so does IR. Cleverdon designed the
Cranfield 2 study carefully in terms of a specific type of
user and how this type of user would define relevance [8,
p. 9]. Taken together, a test collection (documents, topics,
relevance judgments) and an evaluation metric allow for the
simulation of a user with different IR systems.
      </p>
      <p>
        Ja¨rvelin and Keka¨l¨ainen produced a significant shift in
evaluation metrics with their introduction of cumulated
gainbased measures [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The cumulated gain measures are
explicitly focused on a model of a user using an IR system. As
long as the user continues to search, the user can continue to
increase their gain. The common notion of gain in IR
evaluation is the relevant document, but gain can be anything
we would like to define it to be.
      </p>
      <p>Cumulated gain can be plotted vs. time to produce a gain
curve and compare systems. The curve that rises higher and
faster than another curve is the preferred curve. While we
can plot gain curves of one system vs. another, it is
wellknown that users do not endlessly search; different users
stop their searches at different points in time for a host of
reasons. Given a probability density function f (t) that gives
the distribution of time spent searching, we can compute the
expected gain as follows:</p>
      <p>E[G(t)] =
0
∞</p>
      <p>G(t)f (t)dt,
(1)
where G(t) is the cumulated gain at time t. Equation 1
represents time-biased gain in its general form, i.e.
timebiased gain is the expected gain for a population of users.</p>
      <p>
        While it is natural for us to talk about cumulated gain over
time, the traditional cumulated gain measures have
substituted document rank for time and implicitly model a user
that takes the same amount of time to evaluate each and
every document. By making time a central part of our
metric, we gain the ability to more accurately model behavior.
For example, in a document retrieval system, longer
documents will in general take users longer to evaluate, and if the
retrieval system presents results with document summaries
(snippets), we know that users can use summaries to speed
the rate at which they find relevant information [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
      </p>
      <p>Another significant advantage of using time directly in our
retrieval metric is that we now make testable predictions of
human performance. Our predictions are in the same units
as would be obtained as part of a user study. To our
knowledge, this alignment between the units of Cranfield-style
metrics and user study metrics has not previously existed.</p>
      <p>
        Time-biased gain in the form of Equation 1 makes no
mention of ranked lists of documents, for it is a general purpose
description of users using an IR system over time. To
produce a metric suitable for use in evaluating ranked lists, we
followed a process common to development of new
simulations [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]:
1. Creation of model.
2. Calibration of model.
      </p>
      <p>3. Validation of model.</p>
      <p>Our first step in model creation was to adopt the standard
model of a user that works down a result list and move
Equation 1 to a form common to cumulated gain measures:
∞
k=1
gkD(T (k)),
(2)
where gk is the gain at rank k, T (k) is the expected time it
takes a user to reach rank k, and D(t) is the fraction of the
population that survives to time t and is called the decay
function.</p>
      <p>Our model for the time it takes a user to reach rank k,
T (k), takes into consideration a hypothetical user interface
that presents results to the user in the form of document
summaries. A click on a document summary takes the user
to the full document. We model both the probabilities of
clicking on summaries given their NIST relevance and the
probability of then judging a viewed full document as
relevant. We separately model the time to view summaries and
full documents. For the time spent on a full document, we
modeled longer documents taking longer with an additional
constant amount of spent. We treated duplicate documents
as zero length documents. We then calibrated T (k) using
data from a user study, and finally we validated that our
T (k) provided a reasonable fit to the user study data.
Likewise, we modeled D(t) as exponential decay fit to a search
engine’s log data.</p>
      <p>
        In contrast, older evaluation metrics such as mean average
precision [19, p. 59] cannot be calibrated and have only
been validated after their creation. For example, the work
of Hersh and Turpin [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] is likely the first attempt to validate
a metric (average precision). Many recent metrics can be
calibrated to actual user behavior [
        <xref ref-type="bibr" rid="ref17 ref20 ref21 ref4 ref5 ref7">4, 5, 7, 17, 20, 21</xref>
        ], but
their calibration and validation often come after their release
and adoption.
      </p>
    </sec>
    <sec id="sec-3">
      <title>CONCLUSION</title>
      <p>
        The Cranfield approach to IR evaluation is merely
another name for the development and use of predictive
models, which is a fundamental part all science and engineering
fields. In particular, IR evaluation fits nicely into the
framework of simulation where models are created, calibrated, and
validated before being used to make predictions. We have
presented time-biased gain as an example of what we believe
the correct direction is for IR system evaluation. We are not
the only ones to be working on better metrics or taking a
simulation based approach [
        <xref ref-type="bibr" rid="ref13 ref2">2, 13</xref>
        ], and others also consider
time an important part of evaluation [
        <xref ref-type="bibr" rid="ref1 ref6">1, 6</xref>
        ].
      </p>
      <p>Our position is that system-oriented IR research is
useroriented IR research given its use of evaluation metrics that
model users. If HCIR researchers can produce better
models than exist today — by better, we mean more predictive
of human performance — then we can help system
development to focus on changes that help users better search.</p>
    </sec>
    <sec id="sec-4">
      <title>ACKNOWLEDGMENTS</title>
      <p>This work was supported in part by the NSERC, in part
by GRAND NCE, in part by Google, in part by Amazon,
in part by the facilities of SHARCNET, and in part by the
University of Waterloo. Any opinions, findings and
conclusions or recommendations expressed in this material are the
authors’ and do not necessarily reflect those of the sponsors.
5.</p>
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</article>