{"id":33838,"date":"2024-04-15T09:22:23","date_gmt":"2024-04-15T09:22:23","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33838"},"modified":"2024-04-15T09:22:23","modified_gmt":"2024-04-15T09:22:23","slug":"if-there-are-8-possible-classes-under-consideration-for-a-goodness-of-fit-the-number-of-degrees-of-freedom-will-be","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-there-are-8-possible-classes-under-consideration-for-a-goodness-of-fit-the-number-of-degrees-of-freedom-will-be\/","title":{"rendered":"If there are 8 possible classes under consideration for a goodness of fit, the number of degrees of freedom will be"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;8&#8243; option2=&#8221;7&#8243; option3=&#8221;6&#8243; option4=&#8221;Cannot be determined from the given information&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>D. Cannot be determined from the given information<\/strong>.<\/p>\n<p>The number of degrees of freedom in a goodness of fit test is the number of categories minus the number of parameters estimated. In this case, we are told that there are 8 possible classes under consideration, but we are not told how many parameters are estimated. Therefore, the number of degrees of freedom cannot be determined.<\/p>\n<p>To illustrate, consider the following two examples. In the first example, we have 8 possible classes and we estimate 1 parameter. In this case, the number of degrees of freedom would be $8-1=7$. In the second example, we have 8 possible classes and we estimate 2 parameters. In this case, the number of degrees of freedom would be $8-2=6$.<\/p>\n<p>Therefore, the number of degrees of freedom in a goodness of fit test depends on both the number of categories and the number of parameters estimated. Without knowing both of these pieces of information, the number of degrees of freedom cannot be determined.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;8&#8243; option2=&#8221;7&#8243; option3=&#8221;6&#8243; option4=&#8221;Cannot be determined from the given information&#8221; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[701],"tags":[],"class_list":["post-33838","post","type-post","status-publish","format-standard","hentry","category-business-statistics-and-research-methods","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If there are 8 possible classes under consideration for a goodness of fit, the number of degrees of freedom will be<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-there-are-8-possible-classes-under-consideration-for-a-goodness-of-fit-the-number-of-degrees-of-freedom-will-be\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If there are 8 possible classes under consideration for a goodness of fit, the number of degrees of freedom will be\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;8&#8243; 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