{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T02:57:07Z","timestamp":1787021827883,"version":"build-2736575974"},"update-to":[{"DOI":"10.1371\/journal.pntd.0012719","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T00:00:00Z","timestamp":1736380800000}}],"reference-count":46,"publisher":"Public Library of Science (PLoS)","issue":"12","license":[{"start":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T00:00:00Z","timestamp":1733356800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["314892\/2021-4"],"award-info":[{"award-number":["314892\/2021-4"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["001"],"award-info":[{"award-number":["001"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.plosntds.org"],"crossmark-restriction":false},"short-container-title":["PLoS Negl Trop Dis"],"abstract":"<jats:sec id=\"sec001\">\n                    <jats:title>Background<\/jats:title>\n                    <jats:p>\n                      Gut-parasite transmission often involves faecal shedding, and detecting parasites in stool samples remains the cornerstone of diagnosis. However, not all samples drawn from infected hosts contain parasites (because of intermittent shedding), and no test can detect the target parasites in 100% of parasite-bearing samples (because of imperfect sensitivity). Disentangling the effects of intermittent shedding and imperfect sensitivity on pathogen detection would help us better understand transmission dynamics, disease epidemiology, and diagnostic-test performance. Using paediatric\n                      <jats:italic>Giardia<\/jats:italic>\n                      infections as a case-study, here we illustrate a hierarchical-modelling approach to separately estimating the probabilities of host-level infection (\n                      <jats:inline-formula id=\"pntd.0012719.e001\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e001\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\">\n                            <mml:mi mathvariant=\"normal\">\u03a8<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ); stool-sample\u2013level shedding, given infection (\n                      <jats:inline-formula id=\"pntd.0012719.e002\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e002\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\">\n                            <mml:mi mathvariant=\"normal\">\u03b8<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ); and test-level detection, given infection and shedding (\n                      <jats:inline-formula id=\"pntd.0012719.e003\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e003g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e003\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M3\">\n                            <mml:mi>p<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ).\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"sec002\">\n                    <jats:title>Methods\/Findings<\/jats:title>\n                    <jats:p>\n                      We collected 1\u20133 stool samples, in consecutive weeks, from 276 children. Samples (413 overall) were independently examined,\n                      <jats:italic>via<\/jats:italic>\n                      standard sedimentation\/optical microscopy, by a senior parasitologist and a junior, trained student (826 tests overall). Using replicate test results and multilevel hierarchical models, we estimated per-sample\n                      <jats:italic>Giardia<\/jats:italic>\n                      shedding probability at\n                      <jats:inline-formula id=\"pntd.0012719.e004\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e004g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e004\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M4\">\n                            <mml:mover accent=\"true\">\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">\u03b8<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mo>^<\/mml:mo>\n                            <\/mml:mover>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.440<\/mml:mn>\n                            <mml:mo>\u00b1<\/mml:mo>\n                            <mml:mn>0.116<\/mml:mn>\n                            <mml:mspace width=\"0.25em\"\/>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                            <mml:mi mathvariant=\"normal\">E<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      and observer-specific test sensitivities at\n                      <jats:inline-formula id=\"pntd.0012719.e005\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e005g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e005\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M5\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mover accent=\"true\">\n                                  <mml:mrow>\n                                    <mml:mi>p<\/mml:mi>\n                                  <\/mml:mrow>\n                                  <mml:mo>^<\/mml:mo>\n                                <\/mml:mover>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">e<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">n<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">i<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">o<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">r<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.639<\/mml:mn>\n                            <mml:mo>\u00b1<\/mml:mo>\n                            <mml:mn>0.080<\/mml:mn>\n                            <mml:mspace width=\"0.25em\"\/>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                            <mml:mi mathvariant=\"normal\">E<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      and\n                      <jats:inline-formula id=\"pntd.0012719.e006\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e006g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e006\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M6\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mover accent=\"true\">\n                                  <mml:mrow>\n                                    <mml:mi>p<\/mml:mi>\n                                  <\/mml:mrow>\n                                  <mml:mo>^<\/mml:mo>\n                                <\/mml:mover>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">J<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">u<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">n<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">i<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">o<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">r<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.460<\/mml:mn>\n                            <mml:mo>\u00b1<\/mml:mo>\n                            <mml:mn>0.071<\/mml:mn>\n                            <mml:mspace width=\"0.25em\"\/>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                            <mml:mi mathvariant=\"normal\">E<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      . Gender-specific infection-frequency estimates were\n                      <jats:inline-formula id=\"pntd.0012719.e007\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e007g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e007\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M7\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mover accent=\"true\">\n                                  <mml:mrow>\n                                    <mml:mi mathvariant=\"normal\">\u03a8<\/mml:mi>\n                                  <\/mml:mrow>\n                                  <mml:mo>^<\/mml:mo>\n                                <\/mml:mover>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">G<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">i<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">r<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">l<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">s<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.540<\/mml:mn>\n                            <mml:mo>\u00b1<\/mml:mo>\n                            <mml:mn>0.137<\/mml:mn>\n                            <mml:mspace width=\"0.25em\"\/>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                            <mml:mi mathvariant=\"normal\">E<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      and\n                      <jats:inline-formula id=\"pntd.0012719.e008\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e008g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e008\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M8\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mover accent=\"true\">\n                                  <mml:mrow>\n                                    <mml:mi mathvariant=\"normal\">\u03a8<\/mml:mi>\n                                  <\/mml:mrow>\n                                  <mml:mo>^<\/mml:mo>\n                                <\/mml:mover>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">B<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">o<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">y<\/mml:mi>\n                                <mml:mi mathvariant=\"normal\">s<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.337<\/mml:mn>\n                            <mml:mo>\u00b1<\/mml:mo>\n                            <mml:mn>0.098<\/mml:mn>\n                            <mml:mspace width=\"0.25em\"\/>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                            <mml:mi mathvariant=\"normal\">E<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      . Had we used a (hypothetical)\n                      <jats:underline>P<\/jats:underline>\n                      erfect\n                      <jats:underline>T<\/jats:underline>\n                      est with 100% narrow-sense sensitivity (\n                      <jats:inline-formula id=\"pntd.0012719.e009\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e009g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e009\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M9\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mi>p<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:munder>\n                                <mml:mrow>\n                                  <mml:mi mathvariant=\"normal\">P<\/mml:mi>\n                                  <mml:mi mathvariant=\"normal\">T<\/mml:mi>\n                                <\/mml:mrow>\n                                <mml:mo>_<\/mml:mo>\n                              <\/mml:munder>\n                            <\/mml:msub>\n                            <mml:mo>\u2261<\/mml:mo>\n                            <mml:mn>1.0<\/mml:mn>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ), the average probability of detecting\n                      <jats:italic>Giardia<\/jats:italic>\n                      in a sample drawn from an infected child (\n                      <jats:inline-formula id=\"pntd.0012719.e010\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e010g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e010\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M10\">\n                            <mml:mi mathvariant=\"normal\">\u03a8<\/mml:mi>\n                            <mml:mo>\u2261<\/mml:mo>\n                            <mml:mn>1.0<\/mml:mn>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ) would have been\n                      <jats:inline-formula id=\"pntd.0012719.e011\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e011g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e011\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M11\">\n                            <mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">Pr<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mo>(<\/mml:mo>\n                                <mml:mrow>\n                                  <mml:mi>d<\/mml:mi>\n                                <\/mml:mrow>\n                                <mml:mo>|<\/mml:mo>\n                                <mml:mrow>\n                                  <mml:mi>i<\/mml:mi>\n                                  <mml:mo>,<\/mml:mo>\n                                  <mml:munder>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">P<\/mml:mi>\n                                      <mml:mi mathvariant=\"normal\">T<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mo>_<\/mml:mo>\n                                  <\/mml:munder>\n                                <\/mml:mrow>\n                                <mml:mo>)<\/mml:mo>\n                              <\/mml:mrow>\n                            <\/mml:mrow>\n                            <mml:mo>=<\/mml:mo>\n                            <mml:mi mathvariant=\"normal\">\u03a8<\/mml:mi>\n                            <mml:mo>\u00d7<\/mml:mo>\n                            <mml:mi mathvariant=\"normal\">\u03b8<\/mml:mi>\n                            <mml:mo>\u00d7<\/mml:mo>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mi>p<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:munder>\n                                <mml:mrow>\n                                  <mml:mi mathvariant=\"normal\">P<\/mml:mi>\n                                  <mml:mi mathvariant=\"normal\">T<\/mml:mi>\n                                <\/mml:mrow>\n                                <mml:mo>_<\/mml:mo>\n                              <\/mml:munder>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>1.0<\/mml:mn>\n                            <mml:mo>\u00d7<\/mml:mo>\n                            <mml:mn>0.44<\/mml:mn>\n                            <mml:mo>\u00d7<\/mml:mo>\n                            <mml:mn>1.0<\/mml:mn>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.44<\/mml:mn>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      . Because no test can be &gt;100% sensitive,\n                      <jats:inline-formula id=\"pntd.0012719.e012\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e012g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e012\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M12\">\n                            <mml:mrow>\n                              <mml:mrow>\n                                <mml:mi mathvariant=\"normal\">Pr<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mo>(<\/mml:mo>\n                                <mml:mrow>\n                                  <mml:mi>d<\/mml:mi>\n                                <\/mml:mrow>\n                                <mml:mo>|<\/mml:mo>\n                                <mml:mrow>\n                                  <mml:mi>i<\/mml:mi>\n                                <\/mml:mrow>\n                                <mml:mo>)<\/mml:mo>\n                              <\/mml:mrow>\n                            <\/mml:mrow>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      (which measures\n                      <jats:italic>clinical<\/jats:italic>\n                      sensitivity) can only be brought above ~ 0.44 by tinkering with the availability of\n                      <jats:italic>Giardia<\/jats:italic>\n                      in stool samples (i.e.,\n                      <jats:inline-formula id=\"pntd.0012719.e013\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e013g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e013\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M13\">\n                            <mml:mi mathvariant=\"normal\">\u03b8<\/mml:mi>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      ); for example, drawing-and-pooling 3 replicate samples would yield\n                      <jats:inline-formula id=\"pntd.0012719.e014\">\n                        <jats:alternatives>\n                          <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pntd.0012719.e014g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pntd.0012719.e014\" xlink:type=\"simple\"\/>\n                          <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M14\">\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mover accent=\"true\">\n                                  <mml:mrow>\n                                    <mml:mi mathvariant=\"normal\">\u03b8<\/mml:mi>\n                                  <\/mml:mrow>\n                                  <mml:mo>^<\/mml:mo>\n                                <\/mml:mover>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mn>3<\/mml:mn>\n                                <mml:mi mathvariant=\"normal\">s<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo>\u2212<\/mml:mo>\n                            <mml:mo>(<\/mml:mo>\n                            <mml:msup>\n                              <mml:mrow>\n                                <mml:mn>1<\/mml:mn>\n                                <mml:mo>\u2212<\/mml:mo>\n                                <mml:mn>0.44<\/mml:mn>\n                                <mml:mo>)<\/mml:mo>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mn>3<\/mml:mn>\n                              <\/mml:mrow>\n                            <\/mml:msup>\n                            <mml:mo>\u2248<\/mml:mo>\n                            <mml:mn>0.82<\/mml:mn>\n                          <\/mml:math>\n                        <\/jats:alternatives>\n                      <\/jats:inline-formula>\n                      .\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"sec003\">\n                    <jats:title>Conclusions<\/jats:title>\n                    <jats:p>By allowing separate estimation (and modelling) of pathogen-shedding probabilities, the approach we illustrate provides a means to study pathogen transmission cycles and dynamics in unprecedented detail. Separate estimation (and modelling) of true test sensitivity, moreover, may cast new light on the performance of diagnostic tests and procedures, whether novel or routine-practice.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.1371\/journal.pntd.0012719","type":"journal-article","created":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T14:25:23Z","timestamp":1733408723000},"page":"e0012719","update-policy":"https:\/\/doi.org\/10.1371\/journal.pntd.corrections_policy","source":"Crossref","is-referenced-by-count":5,"title":["Disentangling the effects of intermittent faecal shedding and imperfect test sensitivity on the microscopy-based detection of gut parasites in stool samples"],"prefix":"10.1371","volume":"18","author":[{"given":"Lana C. 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m\u00e9todos e t\u00e9cnicas de laborat\u00f3rio para o diagn\u00f3stico das parasitoses humanas","author":"GA De Carli","year":"2007","edition":"2"},{"key":"pntd.0012719.ref024","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1016\/j.trstmh.2011.06.002","article-title":"Comparison between spontaneous sedimentation method and Paratest for the diagnosis of intestinal parasitic infections","volume":"105","author":"CLC Brandelli","year":"2011","journal-title":"Trans R Soc Trop Med Hyg"},{"key":"pntd.0012719.ref025","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.1007\/s00436-010-2154-x","article-title":"Prevalence and risk factors for giardiasis and soil-transmitted helminthiasis in three municipalities of southeastern Minas Gerais State, Brazil","volume":"108","author":"IO Pinheiro","year":"2011","journal-title":"Parasitol Res"},{"key":"pntd.0012719.ref026","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1590\/S0074-02762012000100011","article-title":"A comparative study of the TF-Test, Kato-Katz, Hoffman-Pons-Janer, Willis and Baermann-Moraes coprologic methods for the detection of human parasitosis","volume":"107","author":"GL Carvalho","year":"2012","journal-title":"Mem Inst Oswaldo Cruz"},{"key":"pntd.0012719.ref027","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1590\/S0037-86822012000300024","article-title":"Parasitological stool sample exam by spontaneous sedimentation method using conical tubes: effectiveness, practice, and biosafety","volume":"45","author":"SR Ribeiro","year":"2012","journal-title":"Rev Soc Bras Med Trop"},{"key":"pntd.0012719.ref028","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.actatropica.2013.11.026","article-title":"Comparison of the performance of two spontaneous sedimentation techniques for the diagnosis of human intestinal parasites in the absence of a gold standard","volume":"131","author":"AQ Gon\u00e7alves","year":"2014","journal-title":"Acta 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