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7a. Statistical methods - Explanation | ARRIVE Guidelines | ARRIVE Guidelines

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Statistical methods - Explanation | ARRIVE Guidelines | ARRIVE Guidelines</title> <link rel="stylesheet" media="all" href="/sites/arrive/files/css/css_Nh0fC7CgFJo-zI9Wb21WXj63ENXI-TMMr3gVhiRlyeY.css?delta=0&amp;language=en&amp;theme=arrive&amp;include=eJxFykEOgCAMBMAPIbxpkQYwFZoWiPzek_E6Gds26A4RRg6qdVHI3CP4sLG5tuwEiqyQYiHpFLD_xc8mM3K1QsmdXekruPC8Z4sjjg" /> <link rel="stylesheet" media="all" href="/sites/arrive/files/css/css_MqikR3BaV7nIGhtfl_KLm-NAt9nHx7AAoa7gftqXY1M.css?delta=1&amp;language=en&amp;theme=arrive&amp;include=eJxFykEOgCAMBMAPIbxpkQYwFZoWiPzek_E6Gds26A4RRg6qdVHI3CP4sLG5tuwEiqyQYiHpFLD_xc8mM3K1QsmdXekruPC8Z4sjjg" /> </head> <body> <a href="#main-content" class="visually-hidden focusable"> Skip to main content </a> <div class="dialog-off-canvas-main-canvas" data-off-canvas-main-canvas> <header class="site-header"> <div class="site-header__logo"> <a href="/" title="Arrive"> <img src="/themes/custom/arrive/images/logos/arrive_logo.svg" alt="Arrive logo"> </a> </div> <div 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href="/arrive-guidelines/sample-size/2a/explanation" class="guidelines-menu__nav-link" data-node="78" hreflang="en"><span>2.&nbsp;</span><span>Sample size</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/inclusion-and-exclusion-criteria/3a/explanation" class="guidelines-menu__nav-link" data-node="82" hreflang="en"><span>3.&nbsp;</span><span>Inclusion and exclusion criteria</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/randomisation/4a/explanation" class="guidelines-menu__nav-link" data-node="86" hreflang="en"><span>4.&nbsp;</span><span>Randomisation</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/blindingmasking/5/explanation" class="guidelines-menu__nav-link" data-node="88" hreflang="en"><span>5.&nbsp;</span><span>Blinding/Masking</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/outcome-measures/6a/explanation" class="guidelines-menu__nav-link" data-node="92" hreflang="en"><span>6.&nbsp;</span><span>Outcome measures</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/statistical-methods/7a/explanation" class="guidelines-menu__nav-link is-active" data-node="96" hreflang="en"><span>7.&nbsp;</span><span>Statistical methods</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/experimental-animals/8a/explanation" class="guidelines-menu__nav-link" data-node="100" hreflang="en"><span>8.&nbsp;</span><span>Experimental animals</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/experimental-procedures/9a/explanation" class="guidelines-menu__nav-link" data-node="108" hreflang="en"><span>9.&nbsp;</span><span>Experimental procedures</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/results/10a/explanation" class="guidelines-menu__nav-link" data-node="112" hreflang="en"><span>10.&nbsp;</span><span>Results</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> </ul> </div> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <button class="guidelines-menu__nav-link toggle-open" data-target="#guidelines-menu__nav--sub-recommended-set" type="button">Recommended Set</button> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-0 menu-type-default"> <div class="guidelines-menu__nav guidelines-menu__nav--sub" id="guidelines-menu__nav--sub-recommended-set" > <ul> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/abstract/11/explanation" class="guidelines-menu__nav-link" data-node="114" hreflang="en"><span>11.&nbsp;</span><span>Abstract</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/background/12a/explanation" class="guidelines-menu__nav-link" data-node="118" hreflang="en"><span>12.&nbsp;</span><span>Background</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/objectives/13/explanation" class="guidelines-menu__nav-link" data-node="120" hreflang="en"><span>13.&nbsp;</span><span>Objectives</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/ethical-statement/14/explanation" class="guidelines-menu__nav-link" data-node="122" hreflang="en"><span>14.&nbsp;</span><span>Ethical statement</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/housing-and-husbandry/15/explanation" class="guidelines-menu__nav-link" data-node="124" hreflang="en"><span>15.&nbsp;</span><span>Housing and husbandry</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/animal-care-and-monitoring/16a/explanation" class="guidelines-menu__nav-link" data-node="130" hreflang="en"><span>16.&nbsp;</span><span>Animal care and monitoring</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/interpretation-scientific-implications/17a/explanation" class="guidelines-menu__nav-link" data-node="134" hreflang="en"><span>17.&nbsp;</span><span>Interpretation/ scientific implications</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/generalisability-translation/18/explanation" class="guidelines-menu__nav-link" data-node="138" hreflang="en"><span>18.&nbsp;</span><span>Generalisability/ translation</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/protocol-registration/19/explanation" class="guidelines-menu__nav-link" data-node="140" hreflang="en"><span>19.&nbsp;</span><span>Protocol registration</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/data-access/20/explanation" class="guidelines-menu__nav-link" data-node="142" hreflang="en"><span>20.&nbsp;</span><span>Data access</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/declaration-interests/21a/explanation" class="guidelines-menu__nav-link" data-node="146" hreflang="en"><span>21.&nbsp;</span><span>Declaration of interests</span></a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-1 menu-type-default"> </div> </li> </ul> </div> </div> </li> <li class="guidelines-menu__nav-item menu-item"> <a href="/arrive-guidelines/glossary" class="guidelines-menu__nav-link" data-node="22" data-drupal-link-system-path="node/22">Glossary</a> <div class="menu_link_content menu-link-contentguidelines view-mode-default menu-dropdown menu-dropdown-0 menu-type-default"> </div> </li> </ul> </div> </div> </nav> </div> <div class="main-content__content"> <div id="block-arrive-content"> <article class="guideline"> <div class="guideline__type"> Essential 10 </div> <h1 class="guideline__title">7. Statistical methods <span class="sr-only"> <span class="guideline__sub-item-title">Provide details of the statistical methods used for each analysis, including software used.</span> <span class="guideline__content-title">explanation</span> </span></h1> <div> <div class="guideline__sub-item-content"> <div class="guideline__sub-items"> <div class="guideline__sub-items"> <div class="guideline__sub-items-tabs"> <div class="guideline__sub-items-title guideline__sub-items-title--50 guideline__sub-items-title--active"> <div> <span class="guideline__sub-items-title-order">7a</span> <span> Provide details of the statistical methods used for each analysis, including software used. </span></a> </div> </div> <div class="guideline__sub-items-title guideline__sub-items-title--50"> <a href="/arrive-guidelines/statistical-methods/7b/explanation" data-node="94" class="guideline__sub-items-link"> <span class="guideline__sub-items-title-order">7b</span> <span> Describe any methods used to assess whether the data met the assumptions of the statistical approach, and what was done if the assumptions were not met. </span></a> </div> </div> </div> </div> <div class="guideline__ee-content"> <div class="guideline__ee_tabs"> <div class="guideline__ee_tabs-title guideline__ee_tabs-title--active" data-tab-type="explanation"> <span data-node="96">Explanation</span> </div> <div class="guideline__ee_tabs-title" data-tab-type="example"> <a href="/arrive-guidelines/statistical-methods/7a/examples" class="guideline__ee_tabs-link" data-node="97">Examples</a> </div> </div> <div class="guideline__ee_tabs-content guideline__ee_tabs-content--active"> <div><p>The statistical analysis methods implemented will reflect the goals and the design of the experiment, they should be decided&nbsp;in advance before data are collected&nbsp;(see&nbsp;<a href="/arrive-guidelines/protocol-registration" target="_blank"><strong>item 19 – Protocol registration</strong></a>).&nbsp;Both exploratory and hypothesis-testing studies might use descriptive statistics to summarise the data&nbsp;(e.g. mean&nbsp;and&nbsp;SD, or median and range).&nbsp;In exploratory studies where no specific hypothesis was tested, reporting descriptive statistics is important for generating new hypotheses that may be tested in subsequent&nbsp;experiments&nbsp;but it does not allow conclusions beyond the data.&nbsp;In addition&nbsp;to descriptive statistics,&nbsp;hypothesis-testing studies might use inferential statistics to test a specific hypothesis.</p> <p>Reporting the analysis methods in detail is essential to ensure readers and peer-reviewers&nbsp;can assess the appropriateness of the methods selected and judge the validity of the output.&nbsp;The description of the statistical analysis should provide enough detail so&nbsp;that&nbsp;another researcher could re-analyse the raw data using the same method and obtain the same results.&nbsp;Make it clear which method was used for which analysis.</p> <p>Analysing the data using different methods and selectively reporting those with statistically significant results constitutes&nbsp;p-hacking and introduces&nbsp;bias in the literature&nbsp;<a href="#7a-explanation-refs">[1,2]</a>. Report all analyses performed in full.&nbsp;Relevant information&nbsp;to describe the statistical methods&nbsp;include:&nbsp;</p> <ul style="list-style-type:square;"> <li>the outcome measures&nbsp;</li> <li>the&nbsp;independent variables&nbsp;of interest&nbsp;</li> <li>the&nbsp;nuisance variables&nbsp;taken into account&nbsp;in&nbsp;each statistical test (e.g.&nbsp;as blocking factors or covariates),&nbsp;&nbsp;</li> <li>what statistical analyses were performed&nbsp;and references for the methods used&nbsp;&nbsp;</li> <li>how missing values were handled&nbsp;</li> <li>adjustment for multiple comparisons&nbsp;</li> <li>the software package and version used,&nbsp;including&nbsp;computer code&nbsp;if available&nbsp;<a href="#7a-explanation-refs">[3]</a>&nbsp;</li> </ul> <p>The outcome measure&nbsp;is&nbsp;potentially affected by the treatments or interventions being tested,&nbsp;but also by other factors, such as the&nbsp;properties of the biological samples (sex, litter, age, weight, etc.), and&nbsp;technical&nbsp;considerations&nbsp;(cage, time of day, batch, experimenter, etc.).&nbsp;To reduce the risk of bias, some of these factors can be&nbsp;taken into account&nbsp;in the design of the experiment, for example by using blocking factors in the randomisation&nbsp;(see <a href="/arrive-guidelines/randomisation" target="_blank"><strong>item 4 – Randomisation</strong></a>).&nbsp;Factors deemed to affect the variability of the&nbsp;outcome measure&nbsp;should&nbsp;also&nbsp;be handled in the analysis, for example&nbsp;as a blocking&nbsp;factor&nbsp;(e.g. batch&nbsp;of reagent&nbsp;or experimenter), or as a covariate&nbsp;(e.g. starting tumour size at point of randomisation).</p> <p>Furthermore, to conduct the analysis appropriately, it is important to recognise the hierarchy that can exist in an experiment. The hierarchy can induce a clustering effect; for example, cage,&nbsp;litter&nbsp;or animal&nbsp;effects can occur where the outcomes&nbsp;measured&nbsp;for animals from the same cage/litter, or&nbsp;for&nbsp;cells from the same animal,&nbsp;are more&nbsp;similar to&nbsp;each other. This relationship&nbsp;has to&nbsp;be managed in the statistical analysis by including cage/litter/animal&nbsp;effects in the model or by aggregating the outcome measure to the cage/litter/animal&nbsp;level.&nbsp;Thus,&nbsp;describing the reality of the experiment and the hierarchy of the data, along with&nbsp;the&nbsp;measures taken&nbsp;in the design and the analysis to account for this hierarchy,&nbsp;is crucial to&nbsp;assessing whether the statistical methods used are appropriate.</p> <p>For bespoke analysis, for example regression analysis with many terms, it is essential to describe the analysis pipeline in detail. This could include detailing the starting model and any model simplification steps.</p> <p>When&nbsp;reporting descriptive statistics, explicitly state which measure of central tendency is reported (e.g. mean or median) and which measure of variability is reported (e.g. standard deviation, range, quartiles or interquartile range).&nbsp;Also describe any modification made to the raw data before&nbsp;analysis&nbsp;(e.g. relative quantification of gene expression against a house-keeping gene).&nbsp;For further guidance on statistical reporting, refer to the SAMPL (Statistical Analyses and Methods in the Published Literature) guidelines&nbsp;<a href="#7a-explanation-refs">[4]</a>.&nbsp;</p> <p>&nbsp;</p> <h2>References</h2> <ol> <li>Tsilidis KK, Panagiotou OA, Sena ES, Aretouli E, Evangelou E, Howells DW, Al-Shahi Salman R, Macleod MR and Ioannidis JP (2013). Evaluation of excess significance bias in animal studies of neurological diseases. <em>PLoS Biol</em>. <a style="color:#0563c1;" href="http://dx.doi.org/10.1371/journal.pbio.1001609" target="_blank"><u>doi: 10.1371/journal.pbio.1001609</u></a></li> <li>Head ML, Holman L, Lanfear R, Kahn AT and Jennions MD (2015). The Extent and Consequences of P-Hacking in Science. <em>PLOS Biology</em>. <a style="color:#0563c1;" href="http://dx.doi.org/10.1371/journal.pbio.1002106" target="_blank"><u>doi: 10.1371/journal.pbio.1002106</u></a></li> <li>British Ecological Society (2017). A guide to reproducible code in ecology and evolution. Available at: <a style="color:#0563c1;" href="https://www.britishecologicalsociety.org/wp-content/uploads/2017/12/guide-to-reproducible-code.pdf" target="_blank"><u>https://www.britishecologicalsociety.org/wp-content/uploads/2017/12/guide-to-reproducible-code.pdf</u></a></li> <li>Lang TA and Altman DG (2015). Basic statistical reporting for articles published in biomedical journals: the "Statistical Analyses and Methods in the Published Literature" or the SAMPL Guidelines. <em>Int J Nurs Stud</em>. <a style="color:#0563c1;" href="http://dx.doi.org/10.1016/j.ijnurstu.2014.09.006" target="_blank"><u>doi: 10.1016/j.ijnurstu.2014.09.006</u></a></li> </ol> </div> </div> </div> </div> </div> </article> </div> </div> </div> </main> </div> <script type="application/json" data-drupal-selector="drupal-settings-json">{"path":{"baseUrl":"\/","pathPrefix":"","currentPath":"node\/96","currentPathIsAdmin":false,"isFront":false,"currentLanguage":"en","civiccookiecontrol_path":"modules\/contrib\/civicccookiecontrol"},"pluralDelimiter":"\u0003","suppressDeprecationErrors":true,"ajaxPageState":{"libraries":"eJyNz9EKwyAMBdAfsvV5XyNRg5WmRkws9O8nrKNlg7G3cO6FJNBa3tF6ZhVtUA28IHLoGxadBoY1l_QOErEHmkQPuqlQjuiUHVcsJ7rUB44Wir3Gn6EbK7sJec8hMK8ZAxdtTPabZkHVcYH8V3-Ygr4T3D494eOhCg3SiBexsfUKNF8y91K7pywLRiOHKG7Wg-ATRVSBFw","theme":"arrive","theme_token":null},"ajaxTrustedUrl":[],"civiccookiecontrol":"{\u0022apiKey\u0022:\u0022487f456762462627969a5b51573dcc53e2cdd8f1\u0022,\u0022product\u0022:\u0022PRO_MULTISITE\u0022,\u0022logConsent\u0022:false,\u0022consentCookieExpiry\u0022:90,\u0022encodeCookie\u0022:false,\u0022subDomains\u0022:true,\u0022notifyOnce\u0022:false,\u0022rejectButton\u0022:false,\u0022toggleType\u0022:\u0022slider\u0022,\u0022closeStyle\u0022:\u0022icon\u0022,\u0022settingsStyle\u0022:\u0022link\u0022,\u0022initialState\u0022:\u0022NOTIFY\u0022,\u0022layout\u0022:\u0022SLIDEOUT\u0022,\u0022position\u0022:\u0022RIGHT\u0022,\u0022theme\u0022:\u0022LIGHT\u0022,\u0022necessaryCookies\u0022:[],\u0022optionalCookies\u0022:[{\u0022name\u0022:\u0022analytics\u0022,\u0022label\u0022:\u0022Analytical Cookies\u0022,\u0022description\u0022:\u0022\u003Cp\u003EAnalytical cookies help us to improve our website by collecting and reporting information on its usage.\u003C\/p\u003E\\r\\n\u0022,\u0022cookies\u0022:[\u0022_ga\u0022,\u0022_gid\u0022,\u0022_gat\u0022],\u0022onAccept\u0022:\u0022function(){(function(i,s,o,g,r,a,m){i[\u0027GoogleAnalyticsObject\u0027]=r;i[r]=i[r]||function(){ (i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o), m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m) })(window,document,\u0027script\u0027,\u0027https:\/\/www.google-analytics.com\/analytics.js\u0027,\u0027ga\u0027);\\r\\nga(\u0027create\u0027, \u0027UA-409017-4\u0027, \u0027auto\u0027);\\r\\nga(\u0027send\u0027, \u0027pageview\u0027);\\r\\n\\r\\n(function(i,s,o,g,r,a,m){i[\u0027GoogleTagObject\u0027]=r;i[r]=i[r]||function(){ (i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o), m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m) })(window,document,\u0027script\u0027,\u0027https:\/\/www.googletagmanager.com\/gtag\/js?id=G-Y60SY38W16\u0027,\u0027gtag\u0027);\\r\\n\\r\\n window.dataLayer = window.dataLayer || [];\\r\\n function gtag(){dataLayer.push(arguments);}\\r\\n gtag(\u0027js\u0027, new Date());\\r\\n\\r\\n gtag(\u0027config\u0027, \u0027G-ZNNTEXLB6T\u0027);\\r\\n}\u0022,\u0022onRevoke\u0022:\u0022function(){window[\u0027ga-disable-UA-409017-4\u0027] = true;\\r\\nwindow[\u0027ga-disable-G-ZNNTEXLB6T\u0027] = true;\\r\\nwindow[\u0027ga-disable-G-Y60SY38W16\u0027] = true;}\u0022,\u0022recommendedState\u0022:true,\u0022lawfulBasis\u0022:\u0022consent\u0022}],\u0022excludedCountries\u0022:[],\u0022debug\u0022:false,\u0022setInnerHTML\u0022:true,\u0022wrapInnerHTML\u0022:false,\u0022mode\u0022:\u0022GDPR\u0022,\u0022acceptBehaviour\u0022:\u0022recommended\u0022,\u0022closeOnGlobalChange\u0022:true,\u0022notifyDismissButton\u0022:true,\u0022sameSiteCookie\u0022:true,\u0022sameSiteValue\u0022:\u0022Strict\u0022,\u0022iabCMP\u0022:false,\u0022statement\u0022:{\u0022description\u0022:\u0022For more detailed information on the cookies we use, please check our\u0022,\u0022name\u0022:\u0022Privacy Policy\u0022,\u0022updated\u0022:\u002223\/10\/2020\u0022,\u0022url\u0022:\u0022https:\/\/arriveguidelines.org\/privacy\u0022},\u0022ccpaConfig\u0022:[],\u0022accessibility\u0022:{\u0022accessKey\u0022:\u0022C\u0022,\u0022overlay\u0022:true,\u0022outline\u0022:true,\u0022disableSiteScrolling\u0022:false},\u0022text\u0022:{\u0022title\u0022:\u0022This site uses cookies\u0022,\u0022intro\u0022:\u0022\u003Cp\u003ESome of these cookies are essential, while others help us to improve your experience by providing insights into how the site is being used.\u003C\/p\u003E\u0022,\u0022acceptRecommended\u0022:\u0022Accept Recommended Settings\u0022,\u0022acceptSettings\u0022:\u0022I accept\u0022,\u0022rejectSettings\u0022:\u0022I do not accept\u0022,\u0022necessaryTitle\u0022:\u0022Essential Cookies\u0022,\u0022necessaryDescription\u0022:\u0022\u003Cp\u003EEssential cookies enable core functionality such as page navigation and access to secure areas. 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