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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Diagrammatic Reasoning Meets Medical Risk Communication</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ali Marzuk (AM</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>@rcsi-mub.com)</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Angela Brunstein</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Applying Diagrammatic Reasoning to Medical Risk Communication</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Joerg Brunstein</institution>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Royal College of Surgeons in Ireland - Bahrain</institution>
          ,
          <addr-line>PO Box 15503, Adliya</addr-line>
          ,
          <country country="BH">Bahrain</country>
        </aff>
      </contrib-group>
      <fpage>572</fpage>
      <lpage>576</lpage>
      <abstract>
        <p>Informed consent for medical procedures requires that patients understand risks associated with diagnostic and treatment options. Similar to performance for diagrammatic reasoning and system dynamics, patients, physicians and medical students are reported to perform poorly on understanding medical risk-related information. At the same time, different presentation formats seem to support different kind of conclusions across domains. In this research, we investigated different formats of presenting risk information related to a treatment scenario with 22 medical and 50 nonmedical students. As expected, medical students performed better than non-medical students for all versions of the problem, while non-medical students could partially compensate missing medical knowledge with displays that reduce complexity and allow reducing cognitive load. This implies that it is possible to support patients' decision making, but also highlights the need to educate patients on potential risks and benefits.</p>
      </abstract>
      <kwd-group>
        <kwd>medical reasoning</kwd>
        <kwd>risk evaluation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Diagrammatic reasoning and understanding complex system
has been demonstrated to be difficult for several task
domains
        <xref ref-type="bibr" rid="ref2">(e.g., Cronin, Gonzalez, &amp; Sterman, 2009)</xref>
        .
Performance for these kinds of tasks is better if information
can be directly read out from diagrams compared to
inferring it
        <xref ref-type="bibr" rid="ref4">(e.g., Larkin &amp; Simon, 1987)</xref>
        . The other way
around, specific presentation formats seem to support
different kinds of conclusions. For example, for judging a
car’s fuel efficiency, presentation of gallons per mile is
more promising than presentation of miles per gallon
        <xref ref-type="bibr" rid="ref5">(Larrick &amp; Soll, 2008)</xref>
        .
      </p>
      <p>
        For the medical domain, understanding information
related to diagnostic and treatment choices is essential to
informed consent, evidence-based medicine and
doctorpatient shared decision-making. As for understanding
complex systems in general, there is evidence that both,
physicians and patients have difficulties understanding risk
related information
        <xref ref-type="bibr" rid="ref6 ref9">(Mazur &amp; Hickam, 1993; Windish,
Huot, &amp; Green, 2007)</xref>
        . Similar to the diagrammatic
reasoning literature, patients’ and undergraduates’
performance varies between different presentation formats
        <xref ref-type="bibr" rid="ref3 ref8">(Gigerenzer et al., 2007; Shapira, Nattinger, &amp; Mc Auliffe,
2006)</xref>
        . Also medical students perform better for displays on
accumulation problems than non-medical students for some,
but not all medical scenarios
        <xref ref-type="bibr" rid="ref1">(Brunstein, Gonzalez, &amp;
Kanter, 2010)</xref>
        .
      </p>
      <p>In this study, we aimed to combine the lessons learned
from diagrammatic reasoning for understanding a treatment
scenario on ventricular fibrillation with medical students
and non-medical undergraduates.</p>
      <p>For decision whether or not to undergo surgery to get an
implantable cardioverter defibrillator (ICD) after surviving a
heart attack, patients need to evaluate the risk of having
another heart attack (i.e., severity of disease) and how likely
an ICD can save their life during that heart attack (i.e.,
effectiveness of treatment).</p>
      <p>In the medical literature, common measures for those
values come from clinical trials with number of patients
surviving versus dying in treatment, in this case ICD, versus
control groups, in this case heart medication only.</p>
      <p>For physicians, critical values impacting treatment
decisions are absolute and relative risk reduction as
estimated proportion of patients surviving due to treatment
and number needed to treat as estimates of the number of
patients who are exposed to potential side effects for saving
one patient’s life.</p>
      <p>
        For illustrating these measures, several formats of
information presentation are used in the medical literature
and on patient information leaflets or websites. These
include tables, frequency arrays or bar graphs with numbers
or proportions of patients dying versus surviving in different
conditions. As for the miles per gallon example, patients
perform better for understanding outcomes of clinical trials
when presented in terms of frequencies and not in terms of
probabilities
        <xref ref-type="bibr" rid="ref3">(Gigerenzer et al., 2007)</xref>
        . Unfortunately, the
decision whether or not undergo surgery to receive an ICD
requires both, understanding the research results and
estimating the probability of success for themselves. Also,
when presented with several treatment options, comparing
several pairs of 100 smileys each can become very
confusing. Therefore, it is not evident which kind of display
might help patients best to make informed decisions.
      </p>
      <p>
        For each of these three domains, participants display a
tendency for bias or errors. For the miles per gallon illusion
        <xref ref-type="bibr" rid="ref5">(Larrik &amp; Soll, 2008)</xref>
        , participants tend to assume a linear
instead curvilinear relationship and, therefore, they do not
appreciate the increase of efficiency by replacing least
efficient cars. For health information, participants tend to
neglect base rates or to confuse variables for calculations
and, therefore, do not understand the value of screening or
underestimate the risks associated with treatment.
      </p>
      <p>Different kinds of visualization do not change the
concepts or required calculations, but they do change the
likelihood of error in participants’ responses. Miles per
gallons come with decimals instead naturals and with
constant base rates. This makes the comparison much easier.
Frequencies instead conditional probabilities have the base
rates already integrated and require one step less for
processing. At the same time, naturals are more convenient
for calculations and comparisons than proportions with
varying base rates.</p>
      <p>Applying these considerations to medical risk
communication, all presentation formats are isomorph and
display the same information. All of them allow
comparison. At the same time, each of them invites for
different strategies:</p>
      <p>Tables explicitly display number of patients, invite to
calculate, but require numeracy and statistical literacy to get
the correct number and to understand that result. It is
challenging to visualize patients in different conditions from
numbers. And patient numbers need to be converted to
estimate personal odds of surviving or dying.</p>
      <p>Bar graphs illustrate proportions of patients and are
therefore closest to personal risk. They invite to estimate,
but they can be problematic given reported difficulties with
probabilities (e.g., Gigerenzer et al., 2008). As for tables, it
is difficult to imagine number of patients in different
conditions.</p>
      <p>Frequency arrays as favored by Gigerenzer and
colleagues (2008) work with naturals and do not require
considering base rates. They illustrate numbers of patients
and are intuitive to understand. As for tables, number of
patients need to be converted to estimate personal risk.</p>
      <p>Similarly, separate or integrated displays are associated
with different advantages and disadvantages. Separate
displays can be directly mapped onto treatment conditions,
but require comparing and integrating displays to derive
conclusions on treatment effectiveness. Integrated displays
highlight the difference and take processing away from
participants, but make it more difficult to read the display.
This holds especially for the part of patients that have
survived in treatment condition, while the corresponding
number of patients had died in control condition.
1. Based on the diagrammatic reasoning and system
dynamics literature, we expected that medical students
should outperform non-medical students due to their
greater knowledge associated with medical risk
communication and treatment options for that disease.
2. Given that background knowledge, we expected little
impact of presentation formats on medical students’
performance for evaluating outcomes of clinical trials.
3. In contrast, we expected, differences in performance for
different presentation formats for non-medical students.
Because tables, arrays and bar graphs are differently
suited to support performance on proportion versus
number of patients, but also vary in complexity and in
how intuitive they are to interpret, we had no specific
hypotheses which presentation should be best for this
task.</p>
    </sec>
    <sec id="sec-2">
      <title>Method</title>
      <sec id="sec-2-1">
        <title>Participants</title>
        <p>Fifty non-medical students (26 female, 24 male), mean age
21 years (SD =3) participated for course credit in this study
and were randomly assigned to one of five presentation
formats for a scenario on treating ventricular fibrillation
with ICD (10 per condition).</p>
        <p>Forty medical students (19 female, 16 male, 18 dropped
before demographic information) mean age 21 years (SD =
2) agreed to participate in this study. Due to high dropout,
only 22 participants (4-5 per condition) completed the
scenario. All participants who quitted before completing the
survey, did so before performing the risk information
scenario at the consent page or at the demographics page.
Data from these participants were excluded from analysis.</p>
      </sec>
      <sec id="sec-2-2">
        <title>Design</title>
      </sec>
      <sec id="sec-2-3">
        <title>Materials</title>
        <p>This study implemented a 5 (versions of visualization) x 2
(medical knowledge) between participants design for
answering 4 questions associated with severity of disease
and effectiveness of treatment.</p>
        <p>
          Participants were presented with scenario on 5-year survival
of patients with ventricular fibrillation from a clinical trial
          <xref ref-type="bibr" rid="ref7">(based on Moss et al., 1996)</xref>
          . According the description, one
hundred patients had an ICD implanted in addition to
traditional heart medication (treatment condition). The
remaining 100 patients received heart medication only
(control condition). This was the topic of a group project for
first year medical students at RCSI. Therefore, medical
students were familiar with the topic, but not with the
specific data.
        </p>
        <p>Data were presented in one of five presentation formats: a
table (see Figure 1a) or frequency arrays for number of
patients dying versus surviving in treatment and control
conditions (see Figure 1d and 1e) or bar graphs on
proportions patients surviving versus dying (see Figure 1b
and 1c). In addition for arrays and bar graphs, we either
presented a pair of individual displays of patients surviving
versus dying per condition or a combined display for both
conditions.</p>
        <p>Participants answered four questions on simplified
versions of risk reduction and number needed to treat
(NNT), on severity of disease and estimated effectiveness of
treatment. These questions are relevant for patients, for
example, with ventricular fibrillation, for making informed
decisions on their treatment. The first question asked for a
number, the remaining questions were true/false statements:
The first question asked for the difference of survivors
between both conditions as a proxy for treatment
effectiveness and as a component of absolute and relative
risk reduction. Correct answer is 20.</p>
        <p>The second question asked whether more patients die than
survive as a proxy for the severity of the disease or for the
necessity to treat. Correct answer is “false”.</p>
        <p>The third question asked whether more patients die with
implant than without. The correct answer is “false”.</p>
        <p>These 3 questions are needed to calculate the number
needed to treat to save one patient’s life (NNT). For this
scenario, 1 of 5 patients survives due to treatment and the
remaining 4 of 5 suffer from potential side effects of
treatment without benefit. One of five will die in both
conditions and 3 of 5 will live in both conditions. The
correct answer is “true”.</p>
        <p>Because all four questions ask for aspects that are relevant
for the treatment decision and because of the small number
of participants among medical students, we report
accumulated scores below. For patients, the next question
would be whether they want to have an ICD implanted.</p>
      </sec>
      <sec id="sec-2-4">
        <title>Procedure</title>
        <p>The study was conducted as an online experiment on
surveymonkey.com. After providing informed consent and
demographic information, participants answered the four
questions on the treatment scenario. Total time was about 10
to 15 min.</p>
        <p>The IRB/ethics boards of the American University in
Cairo and the Royal College of Surgeons in Ireland –
Bahrain had approved this research.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <p>As expected, medical students performed better than
nonmedical students, F (1, 62) = 47.12, p &lt; .001, η2 = .43.
Given the low number of participants for the group of
medical students, we analyzed the effect of versions on
participants’ performance for the four questions separately
for groups. For medical students, presentation format had no
impact on performance, F (4, 17) = 0.64, η2 = .13. In
tendency, medical students performed better for separate
displays than for integrated displays (Bonferoni, all p’s &gt;
.10). However, presentation format impacted performance
of non-medical students, F (4, 45) = 2.96, p &lt; .05, η2 = .21.
Non-medical students performed better for the array than 2
bars or table (p’s &lt; .01) and in tendency better for integrated
displays than for separate displays (p’s &gt; .10, see Table 1).
This indicates that displays that reduce complexity and have
potential for visual imagery better support non-medical
students’ performance for evaluating medical risk related
information.</p>
    </sec>
    <sec id="sec-4">
      <title>Discussion</title>
      <p>Understanding medical risk communication is essential for
informed consent for treatment choices, evidence-based
medicine and physician-patient shared decision-making. At
the same time, literature on medical decision-making
indicates that patients’ performance is far from perfect. This
is matched by reported difficulties for diagrammatic
reasoning and system dynamics. For our study, medical
students performed better for evaluating treatment options
than non-medical students.</p>
      <p>However, not all medical students scored 4 of 4 questions
correctly. As for diagrammatic reasoning literature, in our
study different formats were differently supportive for
evaluating medical risk information in non-medical
students. Potentially, knowledge of the task domain and
presentation formats that match the required task can help
with understanding risk information. For our task that
required understanding of research results in terms of
frequencies and estimating the patient’s own chances of
success in terms of probability, there is not one single
format of diagram that serves all aspects of the task best.
Therefore, it seems that displays that are intuitive (arrays of
patient numbers) and displays that allow reducing cognitive
load (a combined bar graph on patient proportions) seem to
foster non-medical students’ performance. In contrast,
medical students tended to profit from separate displays that
can serve as external memory when calculating the
statistical values. This means we should not leave it to the
doctor to choose the presentation format for the patient
because what is best for the expert does not match what is
best for the layperson.</p>
      <p>For our study, dropout rates for medical students (18 of
40 dropped) were very different from non-medical students’
dropout rate. If eliminating the corresponding proportion of
low-performing non-medical students, the effect of
presentation format becomes weaker, but does not disappear
completely. In addition, even the best performing group of
non-medical students performs worse than any of the groups
of medical students.</p>
      <p>This indicates that presentation format can promote
performance for medical risk evaluation, but cannot replace
domain knowledge for understanding implications of
illustrated data. Therefore, when supporting patients’
treatment choices, we will need to educate them on potential
risks and benefits in addition to provide intuitive displays.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>This research was made possible by the Royal College in
Ireland – Bahrain’s generous support. The data collection on
medical students at RCSI Bahrain was conducted when Dr.
Angela Brunstein was a Senior Lecturer in Psychology at
RCSI Bahrain. The contents of this report are solely the
responsibility of the authors and do not necessarily represent
the official views of RCSI Bahrain.</p>
    </sec>
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