[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-506376-105":59,"doc-detail-506376-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","utts-heckard-t-table-statistical-reference","Utts-Heckard t-Table - Statistical Reference","","This document provides a comprehensive reference table for t critical values, a fundamental tool in statistical analysis and hypothesis testing. The table organizes critical t-values based on degrees of freedom (df) and varying confidence levels, specifically 90%, 95%, 98%, and 99%. Additionally, it includes z-critical values for infinite degrees of freedom, alongside the corresponding alpha significance levels for both one-tailed and two-tailed tests. This resource is essential for researchers and students conducting parametric statistical assessments requiring precise probability determination. The data layout facilitates quick lookup for determining statistical significance in various inferential procedures, including t-distributions and normal distribution comparisons. By providing a wide range of degrees of freedom from 1 to 1000 and beyond, it supports diverse sample size requirements across academic and professional research environments.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/utts-heckard-t-table-statistical-reference/506376/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/utts-heckard-t-table-statistical-reference/506376.png","ImageObject",300,407,{"name":92,"@type":93},"Riley 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t-table?",{"text":121,"@type":113},"Choose the column that corresponds to your desired confidence level, such as 95% or 99%, which correlates to specific alpha levels for one-tailed or two-tailed tests.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},506376,1791506525,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":81,"preview_page_count":4},1099523885074,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","t critical values  \n-t critical 0 t critical  \n\n| Confidence area captured: Confidence level: |  | 0.90\u003Cbr> 90%  | 0.95\u003Cbr> 95%  | 0.98\u003Cbr> 98%  | 0.99\u003Cbr> 99%  |\n| --- | --- | --- | --- | --- | --- |\n| 1 |  | 6.31 | 12.71 | 31.82 | 63.66 |\n| 2 |  | 2.92 | 4.30 | 6.97 | 9.93 |\n| 3 |  | 2.35 | 3.18 | 4.54 | 5.84 |\n| 4 |  | 2.13 | 2.78 | 3.75 | 4.60 |\n| 5 |  | 2.02 | 2.57 | 3.37 | 4.03 |\n| 6 |  | 1.94 | 2.45 | 3.14 | 3.71 |\n| 7 |  | 1.90 | 2.37 | 3.00 | 3.50 |\n| 8 |  | 1.86 | 2.31 | 2.90 | 3.36 |\n| 9 |  | 1.83 | 2.26 | 2.82 | 3.25 |\n| 10 |  | 1.81 | 2.23 | 2.76 | 3.17 |\n| 11 |  | 1.80 | 2.20 | 2.72 | 3.11 |\n| 12 |  | 1.78 | 2.18 | 2.68 | 3.06 |\n| 13 |  | 1.77 | 2.16 | 2.65 | 3.01 |\n| 14 |  | 1.76 | 2.15 | 2.62 | 2.98 |\n| 15 |  | 1.75 | 2.13 | 2.60 | 2.95 |\n| 16 |  | 1.75 | 2.12 | 2.58 | 2.92 |\n| 17 |  | 1.74 | 2.11 | 2.57 | 2.90 |\n| Degrees of 18 |  | 1.73 | 2.10 | 2.55 | 2.88 |\n| Freedom 19 |  | 1.73 | 2.09 | 2.54 | 2.86 |\n| 20 |  | 1.73 | 2.09 | 2.53 | 2.85 |\n| 21 |  | 1.72 | 2.08 | 2.52 | 2.83 |\n| 22 |  | 1.72 | 2.07 | 2.51 | 2.82 |\n| 23 |  | 1.71 | 2.07 | 2.50 | 2.81 |\n| 24 |  | 1.71 | 2.06 | 2.49 | 2.80 |\n| 25 |  | 1.71 | 2.06 | 2.49 | 2.79 |\n| 26 |  | 1.71 | 2.06 | 2.48 | 2.78 |\n| 27 |  | 1.70 | 2.05 | 2.47 | 2.77 |\n| 28 |  | 1.70 | 2.05 | 2.47 | 2.76 |\n| 29 |  | 1.70 | 2.05 | 2.46 | 2.76 |\n| 30 |  | 1.70 | 2.04 | 2.46 | 2.75 |\n| 40 |  | 1.68 | 2.02 | 2.42 | 2.70 |\n| 60 |  | 1.67 | 2.00 | 2.39 | 2.66 |\n| 70 |  | 1.67 | 1.99 | 2.38 | 2.65 |\n| 80 |  | 1.66 | 1.99 | 2.37 | 2.64 |\n| 90 |  | 1.66 | 1.99 | 2.37 | 2.63 |\n| 100 |  | 1.66 | 1.98 | 2.36 | 2.63 |\n| 1000 |  | 1.65 | 1.96 | 2.33 | 2.58 |\n| z critical\u003Cbr>values | ∞ | 1.645 | 1.96 | 2.33 | 2.58 |\n| α for 2-tailed tests |  | 0.10 | 0.05 | 0.02 | 0.01 |\n| α for 1-tailed tests |  | 0.05 | 0.025 | 0.01 | 0.005 |\n\nvalue value","cbCaijsVj6aFWbxy","https://ap.wps.com/l/cbCaijsVj6aFWbxy","pdf",15763,"English","# t-Distribution Critical Values\n## Confidence Levels and Degrees of Freedom\n## Significance Levels for One-Tailed and Two-Tailed Tests","[{\"question\":\"What are the t critical values used for?\",\"answer\":\"They are used in statistical hypothesis testing to determine whether a result is statistically significant at a chosen confidence level based on degrees of freedom.\"},{\"question\":\"How do the t critical values relate to the z critical values?\",\"answer\":\"As the degrees of freedom increase toward infinity, the t-distribution approaches the standard normal (z) distribution, as shown by the values at the bottom of the table.\"},{\"question\":\"How do I select the correct column in the t-table?\",\"answer\":\"Choose the column that corresponds to your desired confidence level, such as 95% or 99%, which correlates to specific alpha levels for one-tailed or two-tailed tests.\"}]","Utts-Heckard t-Table - Statistical Reference | PDF",1791164064]