Comparison of Selected Kinematic Facebows Applied to Mandibular Tracing
Identifieur interne : 000461 ( Pmc/Corpus ); précédent : 000460; suivant : 000462Comparison of Selected Kinematic Facebows Applied to Mandibular Tracing
Auteurs : Mieszko Wieckiewicz ; Marek Zietek ; Danuta Nowakowska ; Wlodzimierz WieckiewiczSource :
- BioMed Research International [ 2314-6133 ] ; 2014.
Abstract
The study focused on the comparison between mechanical and computerized registration methods used by the two selected kinematic facebows. The material consisted of 35 women aged 18 to 35, studied using the Gerber Dynamic Facebow and the computerized ARCUSdigma II axiograph. To compare the devices the condylar path inclination (CPI) was recorded according to the Camper's line, enabling the acquisition of easily comparable values based on which the devices were objectively and subjectively analyzed. Statistics was performed for the obtained data. The study showed that the values for the CPI registrated by the ARCUSdigma II are significantly higher than those obtained by using the Gerber Dynamic Facebow. The significant difference in the records of the CPI is most likely a result of the differences in the registration techniques assumptions. ARCUSdigma II provides the user with more diagnostic options than Gerber Dynamic Facebow. Mechanical facebow handling has a higher risk of hand-measuring errors in tracing procedure. Due to high discrepancy of achieved results from different systems the authors recommend to use articulator compatible with facebow whose measurement has been done.
Url:
DOI: 10.1155/2014/818694
PubMed: 24895613
PubMed Central: 4033495
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Comparison of Selected Kinematic Facebows Applied to Mandibular Tracing</title><author><name sortKey="Wieckiewicz, Mieszko" sort="Wieckiewicz, Mieszko" uniqKey="Wieckiewicz M" first="Mieszko" last="Wieckiewicz">Mieszko Wieckiewicz</name><affiliation><nlm:aff id="I1">Division of Dental Materials, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Zietek, Marek" sort="Zietek, Marek" uniqKey="Zietek M" first="Marek" last="Zietek">Marek Zietek</name><affiliation><nlm:aff id="I2">Department of Periodontology, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Nowakowska, Danuta" sort="Nowakowska, Danuta" uniqKey="Nowakowska D" first="Danuta" last="Nowakowska">Danuta Nowakowska</name><affiliation><nlm:aff id="I1">Division of Dental Materials, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Wieckiewicz, Wlodzimierz" sort="Wieckiewicz, Wlodzimierz" uniqKey="Wieckiewicz W" first="Wlodzimierz" last="Wieckiewicz">Wlodzimierz Wieckiewicz</name><affiliation><nlm:aff id="I3">Department of Prosthetic Dentistry, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">24895613</idno><idno type="pmc">4033495</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4033495</idno><idno type="RBID">PMC:4033495</idno><idno type="doi">10.1155/2014/818694</idno><date when="2014">2014</date><idno type="wicri:Area/Pmc/Corpus">000461</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000461</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Comparison of Selected Kinematic Facebows Applied to Mandibular Tracing</title><author><name sortKey="Wieckiewicz, Mieszko" sort="Wieckiewicz, Mieszko" uniqKey="Wieckiewicz M" first="Mieszko" last="Wieckiewicz">Mieszko Wieckiewicz</name><affiliation><nlm:aff id="I1">Division of Dental Materials, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Zietek, Marek" sort="Zietek, Marek" uniqKey="Zietek M" first="Marek" last="Zietek">Marek Zietek</name><affiliation><nlm:aff id="I2">Department of Periodontology, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Nowakowska, Danuta" sort="Nowakowska, Danuta" uniqKey="Nowakowska D" first="Danuta" last="Nowakowska">Danuta Nowakowska</name><affiliation><nlm:aff id="I1">Division of Dental Materials, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author><author><name sortKey="Wieckiewicz, Wlodzimierz" sort="Wieckiewicz, Wlodzimierz" uniqKey="Wieckiewicz W" first="Wlodzimierz" last="Wieckiewicz">Wlodzimierz Wieckiewicz</name><affiliation><nlm:aff id="I3">Department of Prosthetic Dentistry, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</nlm:aff></affiliation></author></analytic><series><title level="j">BioMed Research International</title><idno type="ISSN">2314-6133</idno><idno type="eISSN">2314-6141</idno><imprint><date when="2014">2014</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>The study focused on the comparison between mechanical and computerized registration methods used by the two selected kinematic facebows. The material consisted of 35 women aged 18 to 35, studied using the Gerber Dynamic Facebow and the computerized ARCUSdigma II axiograph. To compare the devices the condylar path inclination (CPI) was recorded according to the Camper's line, enabling the acquisition of easily comparable values based on which the devices were objectively and subjectively analyzed. Statistics was performed for the obtained data. The study showed that the values for the CPI registrated by the ARCUSdigma II are significantly higher than those obtained by using the Gerber Dynamic Facebow. The significant difference in the records of the CPI is most likely a result of the differences in the registration techniques assumptions. ARCUSdigma II provides the user with more diagnostic options than Gerber Dynamic Facebow. Mechanical facebow handling has a higher risk of hand-measuring errors in tracing procedure. Due to high discrepancy of achieved results from different systems the authors recommend to use articulator compatible with facebow whose measurement has been done.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Noh, K" uniqKey="Noh K">K Noh</name></author><author><name sortKey="Choi, W" uniqKey="Choi W">W Choi</name></author><author><name sortKey="Pae, A" uniqKey="Pae A">A Pae</name></author><author><name sortKey="Kwon, Kr" uniqKey="Kwon K">KR Kwon</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Endo, M" uniqKey="Endo M">M Endo</name></author><author><name sortKey="Terajima, M" uniqKey="Terajima M">M Terajima</name></author><author><name sortKey="Goto, Tk" uniqKey="Goto T">TK Goto</name></author><author><name sortKey="Tokumori, K" uniqKey="Tokumori K">K Tokumori</name></author><author><name sortKey="Takahashi, I" uniqKey="Takahashi I">I 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<front><journal-meta><journal-id journal-id-type="nlm-ta">Biomed Res Int</journal-id><journal-id journal-id-type="iso-abbrev">Biomed Res Int</journal-id><journal-id journal-id-type="publisher-id">BMRI</journal-id><journal-title-group><journal-title>BioMed Research International</journal-title></journal-title-group><issn pub-type="ppub">2314-6133</issn><issn pub-type="epub">2314-6141</issn><publisher><publisher-name>Hindawi Publishing Corporation</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">24895613</article-id><article-id pub-id-type="pmc">4033495</article-id><article-id pub-id-type="doi">10.1155/2014/818694</article-id><article-categories><subj-group subj-group-type="heading"><subject>Clinical Study</subject></subj-group></article-categories><title-group><article-title>Comparison of Selected Kinematic Facebows Applied to Mandibular Tracing</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Wieckiewicz</surname><given-names>Mieszko</given-names></name><xref ref-type="aff" rid="I1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1">*</xref></contrib><contrib contrib-type="author"><name><surname>Zietek</surname><given-names>Marek</given-names></name><xref ref-type="aff" rid="I2"><sup>2</sup></xref></contrib><contrib contrib-type="author"><name><surname>Nowakowska</surname><given-names>Danuta</given-names></name><xref ref-type="aff" rid="I1"><sup>1</sup></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid" authenticated="false">http://orcid.org/0000-0002-8116-7229</contrib-id><name><surname>Wieckiewicz</surname><given-names>Wlodzimierz</given-names></name><xref ref-type="aff" rid="I3"><sup>3</sup></xref></contrib></contrib-group><aff id="I1"><sup>1</sup>Division of Dental Materials, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</aff><aff id="I2"><sup>2</sup>Department of Periodontology, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</aff><aff id="I3"><sup>3</sup>Department of Prosthetic Dentistry, Faculty of Dentistry, Wroclaw Medical University, 50425 Wroclaw, Poland</aff><author-notes><corresp id="cor1">*Mieszko Wieckiewicz: <email>m.wieckiewicz@onet.pl</email></corresp><fn fn-type="other"><p>Academic Editor: Anna Paradowska-Stolarz</p></fn></author-notes><pub-date pub-type="ppub"><year>2014</year></pub-date><pub-date pub-type="epub"><day>7</day><month>5</month><year>2014</year></pub-date><volume>2014</volume><elocation-id>818694</elocation-id><history><date date-type="received"><day>20</day><month>3</month><year>2014</year></date><date date-type="rev-recd"><day>21</day><month>4</month><year>2014</year></date><date date-type="accepted"><day>22</day><month>4</month><year>2014</year></date></history><permissions><copyright-statement>Copyright © 2014 Mieszko Wieckiewicz et al.</copyright-statement><copyright-year>2014</copyright-year><license xlink:href="https://creativecommons.org/licenses/by/3.0/"><license-p>This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p></license></permissions><abstract><p>The study focused on the comparison between mechanical and computerized registration methods used by the two selected kinematic facebows. The material consisted of 35 women aged 18 to 35, studied using the Gerber Dynamic Facebow and the computerized ARCUSdigma II axiograph. To compare the devices the condylar path inclination (CPI) was recorded according to the Camper's line, enabling the acquisition of easily comparable values based on which the devices were objectively and subjectively analyzed. Statistics was performed for the obtained data. The study showed that the values for the CPI registrated by the ARCUSdigma II are significantly higher than those obtained by using the Gerber Dynamic Facebow. The significant difference in the records of the CPI is most likely a result of the differences in the registration techniques assumptions. ARCUSdigma II provides the user with more diagnostic options than Gerber Dynamic Facebow. Mechanical facebow handling has a higher risk of hand-measuring errors in tracing procedure. Due to high discrepancy of achieved results from different systems the authors recommend to use articulator compatible with facebow whose measurement has been done.</p></abstract></article-meta></front><body><sec id="sec1"><title>1. Introduction</title><p>One of the prevailing problems of temporomandibular rehabilitation is the reliable evaluation of the dynamic relation between the occlusal surface and the condylar position [<xref rid="B1" ref-type="bibr">1</xref>–<xref rid="B4" ref-type="bibr">4</xref>]. One of the popular assessment methods is the use of facebows, allowing for three-dimensional diagnostics and enabling the upper jaw cast to be correctly placed in the articulator, as well as providing the user with the precise data necessary during the adjusting procedure [<xref rid="B5" ref-type="bibr">5</xref>–<xref rid="B7" ref-type="bibr">7</xref>]. This feature allows applying the facebows in fixed and removable dentures manufacturing. The kinematic facebows allow for individual dynamic evaluation of occlusion in relation to hinge axis, by geometrically assigning the distances between the occlusal plane and the rotation axis and then transferring the clinical data to the articulator [<xref rid="B8" ref-type="bibr">8</xref>, <xref rid="B9" ref-type="bibr">9</xref>]. Therefore these devices are excellent tools allowing for functional rehabilitation of edentulous patients [<xref rid="B10" ref-type="bibr">10</xref>]. The kinematic systems provide precise and noninvasive diagnostics of temporomandibular joints movements and articular discs displacements [<xref rid="B11" ref-type="bibr">11</xref>]. Even though facebows are mechanical devices, also computerized variants are available [<xref rid="B12" ref-type="bibr">12</xref>–<xref rid="B14" ref-type="bibr">14</xref>].</p><p>The aim of the study was to compare the mechanical and computerized registration methods used by the two selected kinematic facebows.</p></sec><sec id="sec2"><title>2. Materials and Methods</title><p>The material consisted of 35 women who visited the Department of Prosthetic Dentistry of Wroclaw Medical University. Inclusion criteria were that the participant be aged between 18 and 35 years, be generally healthy female, be fully dentate, has not shown symptoms of the articular disc displacement, and has not revealed temporomandibular joint (TMJ) sounds, for example, crepitation or TMJ pain as well as limited mouth opening. Patients have been examined and qualified for the study in accordance with accepted standards contained on the official website of the International RDC/TMD Consortium [<xref rid="B15" ref-type="bibr">15</xref>]. The mean age in the studied groups was 25.71 (SD = 4.63). Patients were recorded using the Gerber Dynamic Facebow (Gerber Condylator, Zürich, Switzerland) and the computerized ARCUSdigma II axiograph (KaVo Dental Gmbh, Biberach, Germany) (Figures <xref ref-type="fig" rid="fig1">1</xref> and <xref ref-type="fig" rid="fig2">2</xref>). The research was approved by the Bioethics Committee of the Wroclaw Medical University (decision number: KB-433/2012).</p><p>To compare the devices the condylar path inclination (CPI) was recorded according to the Camper's line, enabling the acquisition of easily comparable numerical data based on which the devices were objectively and subjectively analyzed.</p><p>The records for each patient were conducted for the left and right temporomandibular joint during protrusive movement. Hinge axis was aligned individually in each case. A reference position was standardized for each of the studied devices. The paraocclusal tray used by ARCUSdigma II was prepared each time by applying silicone on the occlusal surfaces and incisial margins of lower teeth. The reason for this was to increase the distances between teeth arches, obtaining results comparable with those recorded by using the upper registration plate with vertically adjustable pin and lower flat plate for the Gerber system. It should be emphasized that in each registration the authors tried to minimize the distance between teeth arches.</p><p>The Gerber Facebow was slid onto the lower plate which was in touch with the upper plate pin. The writing elements were opposite the marked reference position. A registration card was placed between the writing arm and the surface of the patient's TMJ area. The patients were asked to protrude their mandible. The writing element followed the condyle and recorded the path onto the card. Three tracings were made for each condyle. The angle of the CPI was determined for each chart with a protractor and then averaged. For each 1 mm of frontal bite opening between the incisors half a degree was added to the measured angle indicated on the registration cards according to the manufacturer's recommendation. Three condylar tracings were made also for ARCUSdigma II but after the last measurement device calculated the average angle automatically.</p><p>The results were analyzed using the<italic> t</italic>-test for two correlated samples, with statistical significance at <italic>P</italic> ≤ 0.05. The software used in the statistical analysis was STATISTICA version 10 (StatSoft Inc., Tulsa, Oklahoma, USA).</p></sec><sec id="sec3"><title>3. Results</title><p>The average CPI recorded with ARCUSdigma II was 33.3° for the right side (SD = 10.58); 32.4° for the left side (SD = 13.93); total for both sides 32.9° (SD = 12.28).</p><p>The average CPI recorded with the Gerber Dynamic Facebow was 20.1° for the right side (SD = 9.94); 19.4° for the left side (SD = 9.40); 19.8° when measured as a whole (SD = 9.61). The CPI values measured during the study are presented in <xref ref-type="table" rid="tab1">Table 1</xref>.</p><p>The study showed that the numerical results for the CPI recorded with the ARCUSdigma II are statistically significantly higher than those obtained by using the Gerber Dynamic Facebow. The results were then verified using the<italic> t</italic>-test for two correlated samples and the Kolmogorov-Smirnov test with Lilliefors' Significance. The results provided no reason against the initial hypothesis arguing that the distribution of statistical differences for each measured pair of data sets is statistically different from the average in each of the studied groups.</p><p>The<italic> t</italic>-test analysis of the CPI (right side) results indicates a statistical difference between the higher averages measured using the ARCUSdigma II [<italic>t</italic>(df : 34) = 7.18; <italic>P</italic> < 0.00001] and the lower averages obtained using the Gerber Dynamic Facebow.</p><p>The<italic> t</italic>-test analysis of the CPI (left side) results indicates a statistical difference between the higher averages measured using the ARCUSdigma II [<italic>t</italic>(df : 34) = 7.18; <italic>P</italic> < 0.00001] and the lower averages obtained using the Gerber Dynamic Facebow.</p><p>The<italic> t</italic>-test analysis of the CPI (combined results, left and right side) results indicates a statistical difference between the higher averages measured using the ARCUSdigma II system [<italic>t</italic>(df : 69) = 10.18; <italic>P</italic> < 0.00001] and the lower averages obtained using the Gerber Dynamic Facebow.</p></sec><sec id="sec4"><title>4. Discussion</title><p>According to the literature and the authors' clinical experience, it can be argued that women constitute a higher risk in the development of temporomandibular disorders [<xref rid="B16" ref-type="bibr">16</xref>–<xref rid="B19" ref-type="bibr">19</xref>]. For this reason the study included only female patients, that is, patients more often affected with the abovementioned problem. The age range was chosen due to the lower risk of pathological changes in condylar morphology among young people [<xref rid="B20" ref-type="bibr">20</xref>]. Examined group characteristics allowed achieving an unequivocal and reliable outcome.</p><p>The experiment showed that the values obtained for the condylar path inclination vary significantly depending on the device used. This result is surprising, as each individual evaluation using both facebows was always conducted using the same patient and the same researcher operating the devices. The CPI measured using the computerized ARCUSdigma II axiograph was significantly higher than the results recorded by Gerber Dynamic Facebow. The difference is most likely a result of the registration techniques varieties.</p><p>The study using the Gerber Dynamic Facebow is based on the mechanical sagittal registration of the condylar movement and the manually calculating values for the condylar path inclination. The condylar path tracing is measured according to the occlusal plane which is almost parallel to Camper's line. Therefore the measurement can also refer to this line objectively. The registration also provides information about the length and shape of condylar path. The starting point for the stylus arm is located in the arc's facial manually. It should be noted that the condylar process is not a point and the researcher should be aware of its complex shape. Gerber Facebow was selected for testing because of its popularity and useful clinical features.</p><p>The ARCUSdigma II facebow is a computerized axiograph. Its operation is based on the analysis and imaging of the hinge axis and its movement, used to calculate the necessary parameters, that is, condylar path inclination, Bennett's angle, immediate side shift, and Bennett's shift, allowing for a qualitative on-screen computer analysis of mandibular movements. The recording is preceded by determining of the reference position, which is set by the device by establishing the arrangement of ultrasonic emitters and microphones. The entire test is analyzed by the device's software.</p><p>The difference in the recording techniques may lead to a statistically significant change in the results for the CPI, which is an important factor in the rehabilitation of the masticatory system. Hernandez et al. [<xref rid="B21" ref-type="bibr">21</xref>] in their studies present the mean values for the condylar inclination (right and left side) of the TMJ, in test group studies by Cadiax system, which were higher than the values recorded in the research. The study conducted by Kucukkeles et al. [<xref rid="B22" ref-type="bibr">22</xref>] showed that the measurements carried out by means of mechanical and electronic axiography did not differ significantly. These small differences may be due to inaccuracy of the manual technique. Petrie et al. [<xref rid="B23" ref-type="bibr">23</xref>] reported a result similar to the result obtained in the experiment conducted by the authors. By comparing the mandibular tracing recorded by computerized axiograph and mechanical pantograph they identified discrepancies in the values. This result confirms that the registrated condylar path inclination may vary depending on recording techniques. It should be noted that no comparative studies using kinematic facebows identical to those used in followed research have been found in the available literature.</p><p>According to the authors the Gerber Facebow is a device easier to use than the ARCUSdigma II. However, the Gerber system offers fewer diagnostic capabilities. The time required to perform the measurement, including the setting of the facebow on the patient's head, speaks strongly in favor of the mechanical device. The Gerber system does not depend on the proper functioning of the computer or power supply. It should be noted that extensive menu in the electronic device and the visualization of the mandibular movements on a desktop allows full three-dimensional diagnostics of the temporomandibular joints moves, which is the great clinical value. The ARCUSdigma II function of storing recorded data on a hard drive or SD card is of great convenience in comparison with the paper recording system required by the Gerber facebow. With just a single measurement the electronic device allows the user to obtain more data, being also able to adjust the individual or semi-individual articulator. Using the standard facebow does not provide the specialist with such choice. The smaller diagnostic potential of the Gerber platform, however, does not make it an obsolete tool in clinical application.</p><p>It should be noted that virtual tools for mandibular tracing with extremely high diagnostic potential will be introduced to the daily practice in close future [<xref rid="B24" ref-type="bibr">24</xref>–<xref rid="B26" ref-type="bibr">26</xref>].</p></sec><sec id="sec5"><title>5. Conclusions</title><p><list list-type="order"><list-item><p>The significant difference in the measurements of the condylar path inclination is most likely a result of the differences in the registration techniques assumptions.</p></list-item><list-item><p>ARCUSdigma II provides the user with more diagnostic options than Gerber Dynamic Facebow.</p></list-item><list-item><p>Mechanical facebow handling has a higher risk of hand-measuring errors in tracing procedure.</p></list-item><list-item><p>Due to high discrepancy of achieved results from different systems the authors recommend to use articulator compatible with facebow whose measurement has been done.</p></list-item></list></p></sec></body><back><sec sec-type="conflict"><title>Conflict of Interests</title><p>The authors declare no potential conflict of interests with respect to the authorship and/or the publication of this paper.</p></sec><ref-list><ref id="B1"><label>1</label><element-citation 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pub-id-type="pmid">23763787</pub-id></element-citation></ref></ref-list></back><floats-group><fig id="fig1" orientation="portrait" position="float"><label>Figure 1</label><caption><p>The Gerber Dynamic Facebow.</p></caption><graphic xlink:href="BMRI2014-818694.001"></graphic></fig><fig id="fig2" orientation="portrait" position="float"><label>Figure 2</label><caption><p>The computerized ARCUSdigma II axiograph.</p></caption><graphic xlink:href="BMRI2014-818694.002"></graphic></fig><table-wrap id="tab1" orientation="portrait" position="float"><label>Table 1</label><caption><p>Condylar path inclination values recorded by the ARCUSdigma II and Gerber Dynamic Facebow.</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" rowspan="2" colspan="1">No.</th><th align="center" colspan="2" rowspan="1">ARCUSdigma II</th><th align="center" colspan="2" rowspan="1">Gerber Dynamic Facebow</th></tr><tr><th align="center" rowspan="1" colspan="1">Right TMJ</th><th align="center" rowspan="1" colspan="1">Left TMJ</th><th align="center" rowspan="1" colspan="1">Right TMJ</th><th align="center" rowspan="1" colspan="1">Left TMJ</th></tr></thead><tbody><tr><td align="left" rowspan="1" colspan="1">1</td><td align="center" rowspan="1" colspan="1">43.2</td><td align="center" rowspan="1" colspan="1">47</td><td align="center" rowspan="1" colspan="1">15.4</td><td align="center" rowspan="1" colspan="1">20.4</td></tr><tr><td align="left" rowspan="1" colspan="1">2</td><td align="center" rowspan="1" colspan="1">26.8</td><td align="center" rowspan="1" colspan="1">21.2</td><td align="center" rowspan="1" colspan="1">22.5</td><td align="center" rowspan="1" colspan="1">23</td></tr><tr><td align="left" rowspan="1" colspan="1">3</td><td align="center" rowspan="1" colspan="1">36.4</td><td align="center" rowspan="1" colspan="1">11.2</td><td align="center" rowspan="1" colspan="1">34</td><td align="center" rowspan="1" colspan="1">10</td></tr><tr><td align="left" rowspan="1" colspan="1">4</td><td align="center" rowspan="1" colspan="1">17.8</td><td align="center" rowspan="1" colspan="1">22.2</td><td align="center" rowspan="1" colspan="1">14.5</td><td align="center" rowspan="1" colspan="1">20</td></tr><tr><td align="left" rowspan="1" colspan="1">5</td><td align="center" rowspan="1" colspan="1">26.2</td><td align="center" rowspan="1" colspan="1">13.8</td><td align="center" rowspan="1" colspan="1">24</td><td align="center" rowspan="1" colspan="1">16</td></tr><tr><td align="left" rowspan="1" colspan="1">6</td><td align="center" rowspan="1" colspan="1">13.8</td><td align="center" rowspan="1" colspan="1">8.2</td><td align="center" rowspan="1" colspan="1">12.5</td><td align="center" rowspan="1" colspan="1">10</td></tr><tr><td align="left" rowspan="1" colspan="1">7</td><td align="center" rowspan="1" colspan="1">36.7</td><td align="center" rowspan="1" colspan="1">34.8</td><td align="center" rowspan="1" colspan="1">19</td><td align="center" rowspan="1" colspan="1">27</td></tr><tr><td align="left" rowspan="1" colspan="1">8</td><td align="center" rowspan="1" colspan="1">12.1</td><td align="center" rowspan="1" colspan="1">4.8</td><td align="center" rowspan="1" colspan="1">12</td><td align="center" rowspan="1" colspan="1">8.7</td></tr><tr><td align="left" rowspan="1" colspan="1">9</td><td align="center" rowspan="1" colspan="1">21</td><td align="center" rowspan="1" colspan="1">47.2</td><td align="center" rowspan="1" colspan="1">20</td><td align="center" rowspan="1" colspan="1">41</td></tr><tr><td align="left" rowspan="1" colspan="1">10</td><td align="center" rowspan="1" colspan="1">39.7</td><td align="center" rowspan="1" colspan="1">54.5</td><td align="center" rowspan="1" colspan="1">33</td><td align="center" rowspan="1" colspan="1">30</td></tr><tr><td align="left" rowspan="1" colspan="1">11</td><td align="center" rowspan="1" colspan="1">12.1</td><td align="center" rowspan="1" colspan="1">25.7</td><td align="center" rowspan="1" colspan="1">14.3</td><td align="center" rowspan="1" colspan="1">20.7</td></tr><tr><td align="left" rowspan="1" colspan="1">12</td><td align="center" rowspan="1" colspan="1">20.7</td><td align="center" rowspan="1" colspan="1">30</td><td align="center" rowspan="1" colspan="1">15.3</td><td align="center" rowspan="1" colspan="1">19.7</td></tr><tr><td align="left" rowspan="1" colspan="1">13</td><td align="center" rowspan="1" colspan="1">19.7</td><td align="center" rowspan="1" colspan="1">20</td><td align="center" rowspan="1" colspan="1">4.3</td><td align="center" rowspan="1" colspan="1">23.7</td></tr><tr><td align="left" rowspan="1" colspan="1">14</td><td align="center" rowspan="1" colspan="1">26.1</td><td align="center" rowspan="1" colspan="1">12.3</td><td align="center" rowspan="1" colspan="1">13.7</td><td align="center" rowspan="1" colspan="1">11</td></tr><tr><td align="left" rowspan="1" colspan="1">15</td><td align="center" rowspan="1" colspan="1">42.1</td><td align="center" rowspan="1" colspan="1">27.1</td><td align="center" rowspan="1" colspan="1">22.4</td><td align="center" rowspan="1" colspan="1">20</td></tr><tr><td align="left" rowspan="1" colspan="1">16</td><td align="center" rowspan="1" colspan="1">38.6</td><td align="center" rowspan="1" colspan="1">44.9</td><td align="center" rowspan="1" colspan="1">11</td><td align="center" rowspan="1" colspan="1">13</td></tr><tr><td align="left" rowspan="1" colspan="1">17</td><td align="center" rowspan="1" colspan="1">42.5</td><td align="center" rowspan="1" colspan="1">43.2</td><td align="center" rowspan="1" colspan="1">41.7</td><td align="center" rowspan="1" colspan="1">40.7</td></tr><tr><td align="left" rowspan="1" colspan="1">18</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">44.2</td><td align="center" rowspan="1" colspan="1">29.3</td><td align="center" rowspan="1" colspan="1">24</td></tr><tr><td align="left" rowspan="1" colspan="1">19</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">25.7</td><td align="center" rowspan="1" colspan="1">27.3</td></tr><tr><td align="left" rowspan="1" colspan="1">20</td><td align="center" rowspan="1" colspan="1">34.8</td><td align="center" rowspan="1" colspan="1">31.1</td><td align="center" rowspan="1" colspan="1">7.5</td><td align="center" rowspan="1" colspan="1">3.3</td></tr><tr><td align="left" rowspan="1" colspan="1">21</td><td align="center" rowspan="1" colspan="1">32.7</td><td align="center" rowspan="1" colspan="1">38.3</td><td align="center" rowspan="1" colspan="1">23.7</td><td align="center" rowspan="1" colspan="1">21</td></tr><tr><td align="left" rowspan="1" colspan="1">22</td><td align="center" rowspan="1" colspan="1">32.7</td><td align="center" rowspan="1" colspan="1">30.4</td><td align="center" rowspan="1" colspan="1">40.7</td><td align="center" rowspan="1" colspan="1">15.3</td></tr><tr><td align="left" rowspan="1" colspan="1">23</td><td align="center" rowspan="1" colspan="1">53.6</td><td align="center" rowspan="1" colspan="1">53.3</td><td align="center" rowspan="1" colspan="1">25.3</td><td align="center" rowspan="1" colspan="1">22.7</td></tr><tr><td align="left" rowspan="1" colspan="1">24</td><td align="center" rowspan="1" colspan="1">36.4</td><td align="center" rowspan="1" colspan="1">42.8</td><td align="center" rowspan="1" colspan="1">30</td><td align="center" rowspan="1" colspan="1">19.7</td></tr><tr><td align="left" rowspan="1" colspan="1">25</td><td align="center" rowspan="1" colspan="1">43.7</td><td align="center" rowspan="1" colspan="1">36.9</td><td align="center" rowspan="1" colspan="1">26</td><td align="center" rowspan="1" colspan="1">12.3</td></tr><tr><td align="left" rowspan="1" colspan="1">26</td><td align="center" rowspan="1" colspan="1">24</td><td align="center" rowspan="1" colspan="1">28.5</td><td align="center" rowspan="1" colspan="1">5</td><td align="center" rowspan="1" colspan="1">7</td></tr><tr><td align="left" rowspan="1" colspan="1">27</td><td align="center" rowspan="1" colspan="1">41.6</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">26</td><td align="center" rowspan="1" colspan="1">28.7</td></tr><tr><td align="left" rowspan="1" colspan="1">28</td><td align="center" rowspan="1" colspan="1">31.8</td><td align="center" rowspan="1" colspan="1">21.4</td><td align="center" rowspan="1" colspan="1">6.7</td><td align="center" rowspan="1" colspan="1">6.7</td></tr><tr><td align="left" rowspan="1" colspan="1">29</td><td align="center" rowspan="1" colspan="1">35</td><td align="center" rowspan="1" colspan="1">35</td><td align="center" rowspan="1" colspan="1">25.3</td><td align="center" rowspan="1" colspan="1">19.7</td></tr><tr><td align="left" rowspan="1" colspan="1">30</td><td align="center" rowspan="1" colspan="1">37.1</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">28.3</td><td align="center" rowspan="1" colspan="1">28.3</td></tr><tr><td align="left" rowspan="1" colspan="1">31</td><td align="center" rowspan="1" colspan="1">31.6</td><td align="center" rowspan="1" colspan="1">40.2</td><td align="center" rowspan="1" colspan="1">12</td><td align="center" rowspan="1" colspan="1">28.7</td></tr><tr><td align="left" rowspan="1" colspan="1">32</td><td align="center" rowspan="1" colspan="1">34.8</td><td align="center" rowspan="1" colspan="1">23.3</td><td align="center" rowspan="1" colspan="1">5.7</td><td align="center" rowspan="1" colspan="1">6.3</td></tr><tr><td align="left" rowspan="1" colspan="1">33</td><td align="center" rowspan="1" colspan="1">45.1</td><td align="center" rowspan="1" colspan="1">12</td><td align="center" rowspan="1" colspan="1">10.7</td><td align="center" rowspan="1" colspan="1">8</td></tr><tr><td align="left" rowspan="1" colspan="1">34</td><td align="center" rowspan="1" colspan="1">42.1</td><td align="center" rowspan="1" colspan="1">49.8</td><td align="center" rowspan="1" colspan="1">30</td><td align="center" rowspan="1" colspan="1">31.7</td></tr><tr><td align="left" rowspan="1" colspan="1">35</td><td align="center" rowspan="1" colspan="1">42.8</td><td align="center" rowspan="1" colspan="1">45</td><td align="center" rowspan="1" colspan="1">14.7</td><td align="center" rowspan="1" colspan="1">15</td></tr><tr><td align="left" rowspan="1" colspan="1">Average <break></break>(SD)</td><td align="center" rowspan="1" colspan="1"><bold>33.3 (10.58)</bold></td><td align="center" rowspan="1" colspan="1"><bold>32.4 (13.93)</bold></td><td align="center" rowspan="1" colspan="1"><bold>20.1 (9.94)</bold></td><td align="center" rowspan="1" colspan="1"><bold>19.4 (9.4)</bold></td></tr></tbody></table></table-wrap></floats-group></pmc></record>Pour manipuler ce document sous Unix (Dilib)
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