<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JDAIP</journal-id><journal-title-group><journal-title>Journal of Data Analysis and Information Processing</journal-title></journal-title-group><issn pub-type="epub">2327-7211</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jdaip.2021.92004</article-id><article-id pub-id-type="publisher-id">JDAIP-107823</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Search Processes in the Exploration of Complex Data under Different Display Conditions
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Charles</surname><given-names>Tatum</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>David</surname><given-names>Dickason</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Psychology, National University, San Diego, USA</addr-line></aff><pub-date pub-type="epub"><day>18</day><month>03</month><year>2021</year></pub-date><volume>09</volume><issue>02</issue><fpage>51</fpage><lpage>62</lpage><history><date date-type="received"><day>20,</day>	<month>January</month>	<year>2021</year></date><date date-type="rev-recd"><day>15,</day>	<month>March</month>	<year>2021</year>	</date><date date-type="accepted"><day>18,</day>	<month>March</month>	<year>2021</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The study investigated user experience, display complexity, display type (tables versus graphs), and task difficulty as variables affecting the user’s ability to navigate through complex visual data. A total of 64 participants, 39 undergraduate students (novice users) and 25 graduate students (intermediate-level users) participated in the study. The experimental design was 2 &#215; 2 &#215; 2 &#215; 3 mixed design using two between-subject variables (display complexity, user experience) and two within-subject variables (display format, question difficulty). The results indicated that response time was superior for graphs (relative to tables), especially when the questions were difficult. The intermediate users seemed to adopt more extensive search strategies than novices, as revealed by an analysis of the number of changes they made to the display prior to answering questions. It was concluded that designers of data displays should consider the (a) type of display, (b) difficulty of the task, and (c) expertise level of the user to obtain optimal levels of performance.
 
</p></abstract><kwd-group><kwd>Computer Users</kwd><kwd> Data Displays</kwd><kwd> Data Visualization</kwd><kwd> Data Tables</kwd><kwd> Data Graphs</kwd><kwd> Visual Search</kwd><kwd> Data Complexity</kwd><kwd> Visual Displays</kwd><kwd> Visual Data</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The importance of displaying information in ways that are understandable has had profound repercussion dating back to the 1854 cholera epidemic in London and to the more recent disastrous 1986 launch of the space shuttle Challenger [<xref ref-type="bibr" rid="scirp.107823-ref1">1</xref>]. The consequences of poor display design were also highlighted by the controversy over the “butterfly” ballot in the 2000 presidential election. As [<xref ref-type="bibr" rid="scirp.107823-ref2">2</xref>] noted, the fate of the entire election may have hinged on the design of this ballot. This is not a one-time issue. The fate of other elections twenty years later may also hinge on the design of the ballot [<xref ref-type="bibr" rid="scirp.107823-ref3">3</xref>]. If the display design of something as simple as a ballot can have such far-reaching effects, proper design of complex displays for air traffic control, nuclear power plants, and management information systems may be even more critical. There are several excellent books about the efficient and optimal design of visual data [<xref ref-type="bibr" rid="scirp.107823-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref6">6</xref>]. This study investigated several variables that influence the use, interpretation, and exploration of visual displays. The hope is that the results will lead to recommendations that can assist system users (e.g., engineers, managers, web designers, medical professionals) in transforming complex data into information and usable knowledge.</p><p>The research background on search processes of data displays and data analysis (i.e., extracting knowledge, information, and insights from data) has focused mostly on the methods and variables with few theories as to the mechanisms [<xref ref-type="bibr" rid="scirp.107823-ref7">7</xref>]. Perhaps the best theoretical treatment of this topic emphasizes the cognitive process of schemas and sensemaking. As [<xref ref-type="bibr" rid="scirp.107823-ref7">7</xref>] explain, the mind creates cognitive structures that attempt to represent external reality. These structures go by various names (e.g., mental models, frames, scripts, prototypes), but the term “schema” seems to capture the notion the best. In a process known as “sensemaking” [<xref ref-type="bibr" rid="scirp.107823-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref9">9</xref>], the user creates a schema and then explores the data in an effort to confirm, revise, or replace the schema.</p><p>The following study explores several variables within the framework of sensemaking. In general, we will attempt to address some problems related to the type of data display (e.g., tables, bar graphs, line graphs), the complexity of the display, the nature of the information to be extracted, and the experience level of the user. Many of these variables have been investigated by previous researchers (e.g., [<xref ref-type="bibr" rid="scirp.107823-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref10">10</xref>] ). But because of mixed results, more research is needed for a more complete understanding of the search processes. For example, despite the old adage that “a picture is worth a thousand words”, the evidence that graphs lead to better performance than tables is inconclusive [<xref ref-type="bibr" rid="scirp.107823-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref14">14</xref>]. Whether graphs are superior to tables depends on many factors, including the nature of the task and the types of questions asked [<xref ref-type="bibr" rid="scirp.107823-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref15">15</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref17">17</xref>]. We hope to supply additional evidence to help resolve this ongoing issue.</p><p>Another important variable is user experience, both with a particular data display and with displays in general [<xref ref-type="bibr" rid="scirp.107823-ref18">18</xref>]. For example, [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>] found that user’s experience with a particular data display led to decreased reaction times for tables, line graphs, and bar graphs, with the greatest decrease noted for tables. They also found that, in general, accuracy (getting the right answer) increased with greater experience with a particular display.</p><p>Complexity of the display is also an important variable in understanding how information is extracted from data sets [<xref ref-type="bibr" rid="scirp.107823-ref19">19</xref>]. Typically, studies examine the effects of complexity by selecting two or more levels of complexity and maintaining those levels throughout the experiment (e.g., [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref20">20</xref>] ). In many software applications, however, complexity is often under the control of the user (e.g., [<xref ref-type="bibr" rid="scirp.107823-ref21">21</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref22">22</xref>] ). Software developers often build in the ability for the user either to increase the amount of information displayed on the screen, or reduce the clutter (e.g., [<xref ref-type="bibr" rid="scirp.107823-ref23">23</xref>] ). Other authors [<xref ref-type="bibr" rid="scirp.107823-ref24">24</xref>] describe what they call the abstract/elaborate technique for user-interaction with visual displays. When users are presented with a complex display, they are often given the tools with which to simplify the display. Likewise, if users are given a simple display, they can add more detail if they desire more information. For example, the word processing software used to create this report allows the user to work with just characters on a blank screen, or they can choose to 1) view all the hidden characters (e.g., paragraph marks, spaces between words, tab markers); 2) show the margins, menus, and a tool bar along the top; and/or 3) see a status bar and more tools at the bottom. The present study will allow users to manipulate the complexity of the data display.</p><p>Based on this review of the literature, the following hypotheses are proposed:</p><p>Hypothesis 1: Performance (e.g., response time, accuracy) on a task comparing graphs and tables will depend on the difficulty (conceptual level) of the questions asked in regards to the data display. User performance when using graphs will be superior to tables for the more difficult questions.</p><p>This hypothesis recognizes that there are circumstances in which graphs are not necessarily superior to tables, contrary to conventional wisdom. Several researchers have shown that task characteristics are important in deciding what display to use [<xref ref-type="bibr" rid="scirp.107823-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref20">20</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref25">25</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref26">26</xref>]. What questions the user is asked is part of the task, and as the questions become more difficult (e.g., as the questions progress from simple point reading to discerning trends and finding general patterns), graphs should be more helpful [<xref ref-type="bibr" rid="scirp.107823-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref27">27</xref>]. Another way to view this is to suggest that the graphical displays will be more beneficial in the users' attempts to build and edit their mental schemas for difficult problems.</p><p>Hypothesis 2: Experienced users of a system will explore more features of that system and make more changes to the display than novice users.</p><p>This prediction is consistent with findings that more advanced users, compared to novice users, take more total time to respond when solving complex problems [<xref ref-type="bibr" rid="scirp.107823-ref28">28</xref>]. In other words, more advanced users exert more effort in the sensemaking process than novice users. We predict, therefore, that when users are exposed to complex data displays, the experienced users will change the displays more frequently than the novices. This exploratory behavior reflects a more sophisticated and complete search process for the experienced users [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>].</p></sec><sec id="s2"><title>2. Method</title><sec id="s2_1"><title>2.1. Overview</title><p>The study adopted an experimental approach to the investigation. We recruited novice and experienced users of a Navy force-modeling tool, and assigned them at random to a between-subject condition (display complexity). Two other conditions (display format and questions difficulty) were within-subject variables. We recorded data on response accuracy, response time, and search behavior.</p></sec><sec id="s2_2"><title>2.2. Participants</title><p>A total of 64 students participated in the study. Thirty-nine of these participants were students at a moderately large mid-southern university. The remaining 25 participants were students at the Naval Postgraduate School.</p></sec><sec id="s2_3"><title>2.3. Materials</title><p>Each participant viewed the data presentation on a desktop PC. The data display was either tabular (spreadsheet) or a colored stacked-bar graph (see Figures 1-3). The data were outputs from a Navy force-modeling tool used by Navy personnel managers to project officer personnel inventories. Participants had the ability of either adding or subtracting categories of data from the tabular or the graphical display. The initial data presentation was either a blank table/graph for the simple condition, or a full table/graph for the complex condition. Below the data presentation was a box where multiple-choice questions were displayed. Each subject responded to a total of 30 questions, 15 for the table display format and 15 for the graphical format.</p></sec><sec id="s2_4"><title>2.4. Research Design</title><p>The experimental design was 2 &#215; 2 &#215; 2 &#215; 3 mixed design. There were two between-subject variables: display complexity (low and high) and user experience (novice and intermediate). There were also two within-subject variables: display format (table and graph) and question difficulty (easy, medium, and hard). Performance was measured by three dependent variables in the study: 1) time (in seconds) to answer each question, 2) accuracy (the percentage of questions answered correctly), and 3) the frequency with which the user altered the display. Accuracy was not a very useful performance measure due to the high level of correct responses (even for the “difficult questions”) and so will only be reported once in the results section.</p><sec id="s2_4_1"><title>2.4.1. Between-Subject Variables</title><p>The first between-subject variable was display complexity. Display complexity was defined as how much data was initially presented to each participant. Participants in the low complexity condition were presented with a table or graph that was not populated with any data. They could add as much data as necessary to answer a particular question by selecting the type of data desired. An example of a low complexity graph is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><p>Participants in the high complexity condition were initially presented with a table or graph fully populated with data. These participants could remove data from the display that they considered irrelevant to answer a particular question. An example of a fully populated, high complexity table is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. A high complexity graph is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>. The ability to control the display is similar to pan and zoom designs of complex displays [<xref ref-type="bibr" rid="scirp.107823-ref23">23</xref>] and not unlike the pinch and spread features for Google Maps.</p><p>The second between-subject variable was user experience. The 39 undergraduate participants were considered to be novice users because they had no experience with the actual data displays and minimal, if any, experience with the Navy terminology that was used to describe the displays. The remaining 25 graduate students were considered intermediate users. They had more formal education, had taken more math and statistics courses, had some limited experience with data displays similar to the ones used in this experiment, and were very familiar with Navy terminology. The average novice users had 2.5 years of college and had taken two math or statistics courses. The average intermediate user had 5.5 years of college and had taken 6.5 math or statistics courses. Ideally, expert users, rather than intermediate users, would have been desirable. Unfortunately, Navy personnel management experts were not available for this study.</p></sec><sec id="s2_4_2"><title>2.4.2. Within-Subject Variables</title><p>The first within-subject variable was question difficulty. Question difficulty was broken into three levels: easy, moderate, and hard. Multiple-choice questions were developed based on interviews with subject matter experts (personnel familiar with the Navy force-modeling tool used here). Each level of difficulty consisted of five questions for a total of 15 questions. The easy questions consisted of point-reading questions (e.g., “How many total survivors are there with 15 years of service?”). The answer to a point-reading question was contained within a single cell of the table or at a single point on the graph. Moderate and hard questions consisted of trend and comparison questions that required a more “conceptual” understanding of the data and numerical relationships (e.g., “As years of service increase from 6 - 12, the number of survivors tends to increase, decrease, stay the same, or can’t tell?”).</p><p>The second within-subject variable was display format (tables versus graphs, see <xref ref-type="fig" rid="fig2">Figure 2</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref>). Two different question sets were used (one for tables, another for graphs). Each subject saw all questions. Display format and question set were counterbalanced to control for order effects and possible differences in the question sets. Question difficulty, however, was not counterbalanced.</p><p>All participants had question sets that started with easy questions and progressed through moderate and hard questions. A counterbalanced design was considered unnecessary in this case because all participants would receive the same, constant conditions and the task would be easier to master if it started out easy and progressed to more the more difficult items. Participants were randomly assigned to conditions using a block randomization procedure.</p></sec></sec><sec id="s2_5"><title>2.5. Procedure</title><p>Participants were given printed instructions that explained the various data presentation formats and how to operate the different on-screen functions. The printed instructions also contained definitions for the various labels that were found on the data displays. They were then given an opportunity to answer a practice set of five questions using both data presentation formats (a table and a graph). Participants had to respond correctly to all practice questions before they were allowed to enter the experimental condition. After successfully completing the practice session they began the first experimental session with either the table or graph format (which format presented first was randomly selected). When they had finished the first set of 15 questions, they received feedback on how many questions they had answered correctly. They were then presented with the next experimental condition consisting of either the table or graph and a different set of 15 questions.</p></sec></sec><sec id="s3"><title>3. Results</title><p>Performance was measured by three dependent variables as noted above: 1) time (in seconds) to answer the set of questions, 2) accuracy of the response, and 3) the frequency with which the user altered the display. These measures were recorded by the software used to administer the study and the data were downloaded into a statistical package (SPSS) for analysis. The calculation formulas for the different statistical analyses below were embedded in the statistical software. All data were analyzed using a mixed Analysis of Variance (ANOVA) model to test the effects of two between-subject variables and two within-subject variables. As noted above, the between-subject variables were 1) display complexity (simple versus complex) and 2) user expertise (novice versus intermediate). The within-subject variables were 1) display type (table versus graph) and 2) question difficulty (easy, moderate, and hard). These variables formed a 2 &#215; 2 &#215; 2 &#215; 3 mixed design.</p><p>The findings are reported in terms of the hypotheses that were stated above. Hypothesis 1 predicted an interaction between the type of display and the difficulty level of the question. Specifically, differences in performance between graphs and tables would depend on the level of difficulty of the questions. There were 15 questions in the study that progressed in difficulty (the first items were basic point-reading and data-comparison questions, the latter items required a more conceptual understanding of the relationships). For the purpose of analysis, the questions were organized into sets of five questions resulting in a difficulty variable with three levels (easy consisted of items 1 - 5, moderate consisted of items 6 - 10, and hard consisted of items 11 - 15).</p><p><xref ref-type="fig" rid="fig4">Figure 4</xref> plots performance (response time) as a function of display (table versus graph) and difficulty (easy, moderate, and hard). (Accuracy as a performance measure was not used for reasons noted above.) The figure indicates that the type of display does interact with the difficulty level of the questions as predicted in Hypothesis 1. Closer inspection of the figure indicates that response time for graphs was faster than for tables when the user worked on more difficult questions. The statistical analysis supports the predicted interaction—F (2, 120) = 135.63, p &lt; 0.001, MS = 84,018, Eta Square = 0.69. The results suggest that the users had difficulty with the table displays when the questions became more conceptual. Interestingly, experience was unrelated to difficulty and display type (both F values &lt; 1.00), but the novices performed faster overall (M = 59.37 sec.) than the intermediate users (M = 71.34 sec.)—F (1, 60) =4.39, p &lt; 0.05, MS = 13,447, Eta Square = 0.07. Also of interest is the finding that novices, despite performing faster than intermediate users, were less accurate (Novice M = 74%, Intermediate M = 87%)—F (1, 60) = 6.54, p &lt; 0.05, MS = 1.25, Eta Square = 0.10.</p><p>Hypothesis 2 stated that the intermediate users would engage in more display changes than the novice users. The software that recorded time on the task also revealed which screen elements the subject inspected by recording each time the user clicked the mouse and changed the display. <xref ref-type="fig" rid="fig5">Figure 5</xref> plots the number of display (screen) changes for the novice and intermediate users across the different difficulty levels of the questions. The figure reveals that the intermediate users do make more changes than the novices as predicted by Hypothesis 2. In addition, the figure shows that this difference is greatest for the harder questions. An analysis of the mouse clicks (changes in the display screen) revealed that the intermediate users examined significantly more screen elements than the novice users—F (1, 60) = 16.68, p &lt; 0.001, MS = 669.51, Eta Square = 0.22 and that</p><p>this difference interacted with question difficulty—F (2, 120) = 9.88, p &lt; 0.001, MS = 53.23, Eta Square = 0.14. Additional findings were that there was no main effect for display complexity, and complexity did not interact with experience (both F values &lt; 1.00).</p></sec><sec id="s4"><title>4. Discussion</title><p>The present study examined user experience, display complexity, display type, and task difficulty as variables affecting the user’s ability to explore complex management data. Previous research on the superiority of graphs over tables as a display feature had revealed mixed results [<xref ref-type="bibr" rid="scirp.107823-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref17">17</xref>]. And it is clear that which display type produces the best performance depends on many other factors. One of those factors is the difficulty of the task [<xref ref-type="bibr" rid="scirp.107823-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref27">27</xref>]. Given a difficult problem to solve that requires the use of data, we hypothesized that graphs would lead to better performance than tables (Hypothesis 1). The results of the study supported this hypothesis. As the questions progressed from simple, point-reading items, to more complex questions regarding trends and general relationships, the graphs allowed the user to answer in less time compared to the table displays.</p><p>Hypothesis 2 proposed that the advanced users would engage in more exploratory behavior than the novice users. The results showed that the intermediate users did explore more of the data on the screen than the novice users. This increased exploratory behavior may be because the experienced users have more content knowledge, are wary of “trick” questions, and want to make sure they have all the information they need to answer the question. As [<xref ref-type="bibr" rid="scirp.107823-ref13">13</xref>] noted, “the study of visual displays of quantitative information is largely the study of visual search” (p. 284), and there are several models that outline the components of these search processes [<xref ref-type="bibr" rid="scirp.107823-ref24">24</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref29">29</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref31">31</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref32">32</xref>] [<xref ref-type="bibr" rid="scirp.107823-ref33">33</xref>]. Possibly, what our results reveal is that these search processes are more elaborate and extensive for the more experienced users because they have a more fully developed schema for sensemaking.</p><p>These results have implications for designing more effective and efficient data displays. The first thing that can be recommended is that graphs should be used rather than tables, at least for complex data sets such as those in the personnel management task employed in this study. There is good evidence from this study that graphs are an effective device for presenting complex data. There was one condition under which graphs were superior to tables (i.e., when answering difficult questions), but in no case were graphs ever significantly worse than tables.</p><p>The second recommendation for designing data displays is that the designers should consider the difficulty level of the task and the expertise of the users. Experienced users, compared to novices, make more adjustments to their displays (as revealed by more screen changes), especially for the more difficult tasks. If the problem is easy, the advanced users make few adjustments to the display (but still more than novices). If the problem is difficult, however, advanced users make many more changes to the display (again, compared to novices). This difference in screen changes between novices and advanced users probably explains why novices responded faster than intermediate users. The speed of the response did not, however, coincide with accuracy; both groups were highly accurate. Because many software applications deal with difficult problems, designers should aim to create displays that require few changes. This would benefit both the novice and the expert, but would be especially beneficial to the expert who would not have to spend as much time adjusting the screen and could react faster without a penalty for accuracy.</p></sec><sec id="s5"><title>Author Notes and Acknowledgements</title><p>The views expressed in this paper are those of the authors and are not necessarily those of the Department of the Navy or National University.</p><p>Send correspondence concerning this article to: Charles Tatum, Ph.D., Department of Psychology, National University, 3429 Yonge Street, San Diego, CA 92106. ctatum@nu.edu.</p><p>We wish to thank the following individuals for their assistance in the data collection and conceptual design of this study: Dr. Priti Shaw (University of Michigan), Julie Filizetti (Navy Postgraduate School), Tim Brogdon (Navy Personnel Research, Studies, and Technology), and Gary Ropp (Navy Personnel Research, Studies, and Technology).</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Tatum, C. and Dickason, D. 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