[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-detail-564199-en":53,"doc-seo-564199-105":74},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":5,"data":54},{"doc_id":55,"user_id":56,"nickname":57,"user_avatar":58,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":60,"doc_content":61,"file_id":62,"file_url":63,"file_type":64,"file_size":65,"view_count":4,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":66,"language":67,"language_code":68,"site_id":69,"html_lang":68,"table_of_contents":70,"faqs":71,"seo_title":72,"seo_description":60,"update_tm":73,"read_time":9},564199,1374402739827,"Nguyễn Văn Học","https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","TABLE 6 - Critical values and P-values of U₅ for the Wilcoxon-Mann-Whitney","Table 6 provides selected critical values of the U₅ statistic in bold and the corresponding P-values in italics for the Wilcoxon-Mann-Whitney test under a non-directional alternative. Because the null distribution is discrete, values are given for multiple sample-size combinations (n and n′) and for several significance levels such as 0.20, 0.10, 0.05, 0.025, 0.01, and 0.005. Directional P-values are obtained by dividing the numbers in italics in half.","## TABLE 6 Critical values and P-values of U₅for the Wilcoxon-Mann-Whitneytest\n\nNote:Because the Wilcoxon-Mann-Whitney test null distribution is discrete,this table provides selected values of the test  \n## statistic U₅in bold type and corresponding P-values for a non-directional alternative in italics.Directional P-values are\n\n\n| found by dividing the numbers in italics in half.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| n   | n'   | 0.20   | 0.10   | 0.05   | 0.025   | 0.01   | 0.005   |\n| 3   | 2   | 60.200   |  |  |  |  |  |\n|  | 3   | 80.200   | 90.100   |  |  |  |  |\n| 4   | 2   | 80.133   |  |  |  |  |  |\n|  | 3   | 110.114   | 120.057   |  |  |  |  |\n|  | 4   | 130.200   | 150.057   | 160.029   |  |  |  |\n| 5   | 2   | 90.191   | 100.095   |  |  |  |  |\n|  | 3   | 130.143   | 140.071   | 150.036   |  |  |  |\n|  | 4   | 160.191   | 180.064   | 190.032   | 200.016   |  |  |\n|  | 5   | 200.151   | 210.095   | 230.032   | 240.016   | 250.0079   |  |\n| 6   | 2   | 110.143   | 120.071   |  |  |  |  |\n|  | 3   | 150.167   | 160.095   | 170.048   | 180.024   |  |  |\n|  | 4   | 190.171   | 210.067   | 220.038   | 230.019   | 240.0095   |  |\n|  | 5   | 230.178   | 250.082   | 270.030   | 280.017   | 290.0087   | 300.0043   |\n|  | 6   | 270.180   | 290.093   | 310.041   | 330.015   | 340.0087   | 350.0043   |\n| 7   | 2   | 130.111   | 140.056   |  |  |  |  |\n|  | 3   | 170.183   | 190.067   | 200.033   | 210.017   |  |  |\n|  | 4   | 220.164   | 240.072   | 250.042   | 260.024   | 280.0061   |  |\n|  | 5   | 270.149   | 290.073   | 300.048   | 320.018   | 340.0051   | 350.0025   |\n|  | 6   | 310.181   | 340.073   | 360.035   | 370.022   | 390.0082   | 400.0047   |\n|  | 7   | 360.165   | 380.097   | 410.038   | 430.018   | 450.0070   | 460.0041   |\n| 8   | 2   | 140.178   | 150.089   | 160.044   |  |  |  |\n|  | 3   | 190.194   | 210.085   | 220.049   | 230.024   |  |  |\n|  | 4   | 250.154   | 270.073   | 280.049   | 300.016   | 310.0081   | 320.0040   |\n|  | 5   | 300.171   | 320.093   | 340.045   | 360.019   | 380.0062   | 390.0031   |\n|  | 6   | 350.181   | 380.081   | 400.043   | 420.020   | 440.0080   | 450.0047   |\n|  | 7   | 400.189   | 430.094   | 460.041   | 480.021   | 500.0093   | 520.0037   |\n|  | 8   | 450.195   | 490.083   | 510.050   | 540.021   | 570.0070   | 580.0047   |\n| 9   | 2   | 160.146   | 170.073   | 180.036   |  |  |  |\n|  | 3   | 220.146   | 230.100   | 250.036   | 260.018   | 270.0091   |  |\n|  | 4   | 270.199   | 300.076   | 320.034   | 330.020   | 350.0056   | 360.0028   |\n|  | 5   | 330.190   | 360.083   | 380.042   | 400.019   | 420.0070   | 430.0040   |\n|  | 6   | 390.181   | 420.088   | 440.050   | 470.018   | 490.0076   | 500.0048   |\n|  | 7   | 450.174   | 480.091   | 510.042   | 530.023   | 560.0079   | 580.0033   |\n|  | 8   | 500.200   | 540.093   | 570.046   | 600.021   | 630.0079   | 650.0037   |\n|  | 6   | 560.190   | 600.094   | 640.040   | 660.024   | 700.0078   | 720.0040   |\n| 10   | 2   | 170.182   | 190.061   | 200.030   |  |  |  |\n|  | 3   | 240.161   | 260.077   | 270.049   | 290.014   | 300.0070   |  |\n|  | 4   | 300.188   | 330.076   | 350.036   | 360.024   | 380.0080   | 390.0040   |\n|  | 5   | 370.165   | 390.099   | 420.040   | 440.019   | 460.0080   | 470.0047   |\n|  | 6   | 430.181   | 460.093   | 490.042   | 510.023   | 540.0075   | 550.0047   |\n|  | 7   | 490.193   | 530.088   | 560.043   | 580.025   | 610.0097   | 630.0046   |\n|  | 8   | 560.173   | 600.083   | 630.043   | 660.021   | 690.0085   | 710.0044   |\n|  | 9   | 620.182   | 660.095   | 700.044   | 730.022   | 770.0076   | 790.0041   |\n|  | 10   | 680.190   | 730.089   | 770.043   | 80.0.023   | 840.0089   | 870.0039   |\n\n# TABLE 6 Critical values and P-values of U₅for the Wilcoxon-Mann-Whitney\n\n\n| test(continued)   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| n   | n'   | 0.20   | 0.10   | 0.05   | 0.025   | 0.01   | 0.005   |\n| 11   | 2   | 190.154   | ","cbCailCFM0vHvHXI","https://ap.wps.com/l/cbCailCFM0vHvHXI","pdf",303704,2,"English","en",105,"# TABLE 6 Critical values and P-values of U₅for the Wilcoxon-Mann-Whitney test","[{\"question\":\"What does Table 6 report for the Wilcoxon-Mann-Whitney test?\",\"answer\":\"It lists critical values of the U₅ statistic (in bold) and corresponding P-values (in italics) for a non-directional alternative.\"},{\"question\":\"Why does the table provide selected values?\",\"answer\":\"Because the null distribution of the Wilcoxon-Mann-Whitney test is discrete.\"},{\"question\":\"How are directional P-values obtained?\",\"answer\":\"Directional P-values are found by dividing the numbers in italics in half.\"}]","TABLE 6 - Critical values and P-values of U₅ for the Wilcoxon-Mann-Whitney | PDF",1791840792,{"code":4,"msg":75,"data":76},"ok",{"site_id":69,"language":68,"slug":77,"title":59,"keywords":78,"description":60,"schema_data":79,"social_meta":128,"head_meta":130,"extra_data":132,"updated_unix":73},"table-6-critical-values-and-p-values-of-u-for-the-wilcoxon-mann-whitney","",{"@graph":80,"@context":127},[81,96,110],{"@type":82,"itemListElement":83},"BreadcrumbList",[84,88,90,93],{"item":85,"name":86,"@type":87,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":89,"name":10,"@type":87,"position":66},"https://docshare.wps.com/template/",{"item":91,"name":46,"@type":87,"position":92},"https://docshare.wps.com/template/paper-templates/",3,{"item":94,"name":59,"@type":87,"position":95},"https://docshare.wps.com/template/table-6-critical-values-and-p-values-of-u-for-the-wilcoxon-mann-whitney/564199/",4,{"url":94,"name":59,"@type":97,"author":98,"headline":59,"publisher":100,"fileFormat":103,"inLanguage":68,"description":60,"dateModified":104,"datePublished":104,"encodingFormat":103,"isAccessibleForFree":105,"interactionStatistic":106},"DigitalDocument",{"name":57,"@type":99},"Person",{"url":85,"name":101,"@type":102},"DocShare","Organization","application/pdf","2026-10-12",true,{"@type":107,"interactionType":108,"userInteractionCount":4},"InteractionCounter",{"@type":109},"ViewAction",{"@type":111,"mainEntity":112},"FAQPage",[113,119,123],{"name":114,"@type":115,"acceptedAnswer":116},"What does Table 6 report for the Wilcoxon-Mann-Whitney test?","Question",{"text":117,"@type":118},"It lists critical values of the U₅ statistic (in bold) and corresponding P-values (in italics) for a non-directional alternative.","Answer",{"name":120,"@type":115,"acceptedAnswer":121},"Why does the table provide selected values?",{"text":122,"@type":118},"Because the null distribution of the Wilcoxon-Mann-Whitney test is discrete.",{"name":124,"@type":115,"acceptedAnswer":125},"How are directional P-values obtained?",{"text":126,"@type":118},"Directional P-values are found by dividing the numbers in italics in half.","https://schema.org",{"og:url":94,"og:type":129,"og:title":59,"og:site_name":101,"og:description":60},"article",{"robots":131,"canonical":94},"index,follow",{"doc_id":55,"site_id":69}]