{"id":34,"date":"2020-03-09T09:21:46","date_gmt":"2020-03-09T13:21:46","guid":{"rendered":"http:\/\/pressbooks.library.upei.ca\/montelpare\/?post_type=part&p=34"},"modified":"2020-05-18T08:39:08","modified_gmt":"2020-05-18T12:39:08","slug":"null-hypothesis-tests","status":"publish","type":"part","link":"https:\/\/pressbooks.library.upei.ca\/montelpare\/part\/null-hypothesis-tests\/","title":{"raw":"Goodness of Fit and Related Chi-Square Tests","rendered":"Goodness of Fit and Related Chi-Square Tests"},"content":{"raw":"
\r\n

Learning Objectives<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\nAfter reading this section you should be able to:\r\n
    \r\n \t
  • Create frequency distribution tables<\/li>\r\n \t
  • Compute percentiles for scores within a frequency distribution<\/li>\r\n \t
  • Apply the goodness of fit test -- chi-square statistical procedure to evaluate nominal level data for one or more samples<\/li>\r\n \t
  • Compute the contingency table using a chi-square statistical procedure<\/li>\r\n \t
  • Describe and compute the chi-square statistical procedure for a 2 x 2 research design to test for difference in two variables measured at the nominal level<\/li>\r\n \t
  • Describe and compute the phi-coefficient in a 2 x 2 design to evaluate the association between two variables measured at the nominal level<\/li>\r\n \t
  • Describe and compute Fisher\u2019s Exact test in a 2 x 2 design to determine the exact probability associated with the computation of the chi-square statistic<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n \r\n

    This textbook was developed to demonstrate biostatistical research applications that can use either web-based JavaScripted calculators --aka the Webulators<\/strong> or the Statistical Analysis System --aka SAS coding<\/strong> to resolve questions arising in healthcare research. In the following sections, we will work through the concepts of statistical applications using specific examples that demonstrate the robustness of the Webulators<\/strong> and SAS coding<\/strong>. The SAS applications are based on the SAS Studio Education Analytic Suite. The Webulators are located at https:\/\/health.ahs.upei.ca\/webulators to resolve specific questions using online tools. The\u00a0 \u201cwebulators\u2014the web-based calculators\u201d, provide several useful resources that extend well beyond this textbook.<\/p>","rendered":"

    \n
    \n

    Learning Objectives<\/p>\n<\/header>\n

    \n

    After reading this section you should be able to:<\/p>\n

      \n
    • Create frequency distribution tables<\/li>\n
    • Compute percentiles for scores within a frequency distribution<\/li>\n
    • Apply the goodness of fit test — chi-square statistical procedure to evaluate nominal level data for one or more samples<\/li>\n
    • Compute the contingency table using a chi-square statistical procedure<\/li>\n
    • Describe and compute the chi-square statistical procedure for a 2 x 2 research design to test for difference in two variables measured at the nominal level<\/li>\n
    • Describe and compute the phi-coefficient in a 2 x 2 design to evaluate the association between two variables measured at the nominal level<\/li>\n
    • Describe and compute Fisher\u2019s Exact test in a 2 x 2 design to determine the exact probability associated with the computation of the chi-square statistic<\/li>\n<\/ul>\n<\/div>\n<\/div>\n

       <\/p>\n

      This textbook was developed to demonstrate biostatistical research applications that can use either web-based JavaScripted calculators —aka the Webulators<\/strong> or the Statistical Analysis System —aka SAS coding<\/strong> to resolve questions arising in healthcare research. In the following sections, we will work through the concepts of statistical applications using specific examples that demonstrate the robustness of the Webulators<\/strong> and SAS coding<\/strong>. The SAS applications are based on the SAS Studio Education Analytic Suite. The Webulators are located at https:\/\/health.ahs.upei.ca\/webulators to resolve specific questions using online tools. The\u00a0 \u201cwebulators\u2014the web-based calculators\u201d, provide several useful resources that extend well beyond this textbook.<\/p>\n","protected":false},"parent":0,"menu_order":3,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-34","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/pressbooks\/v2\/parts\/34","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":10,"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/pressbooks\/v2\/parts\/34\/revisions"}],"predecessor-version":[{"id":724,"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/pressbooks\/v2\/parts\/34\/revisions\/724"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/wp\/v2\/media?parent=34"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/wp\/v2\/contributor?post=34"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/montelpare\/wp-json\/wp\/v2\/license?post=34"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}