{"id":55737,"date":"2024-04-16T00:32:30","date_gmt":"2024-04-16T00:32:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=55737"},"modified":"2024-04-16T00:32:30","modified_gmt":"2024-04-16T00:32:30","slug":"given-a-frequent-itemset-l-if-l-k-then-there-are","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/given-a-frequent-itemset-l-if-l-k-then-there-are\/","title":{"rendered":"Given a frequent itemset L, If |L| = k, then there are"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;2k &#8211; 1 candidate association rules&#8221; option2=&#8221;2k candidate association rules&#8221; option3=&#8221;2k &#8211; 2 candidate association rules&#8221; option4=&#8221;2k -2 candidate association rules&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is A. 2k &#8211; 1 candidate association rules.<\/p>\n<p>A candidate association rule is an association rule that is potentially true in the data. It is formed by taking a frequent itemset $L$ and a subset $S$ of $L$, and then considering the rule $L \\rightarrow S$. For example, if $L = \\{a, b, c\\}$ is a frequent itemset, then the rules $a \\rightarrow b$, $a \\rightarrow c$, $b \\rightarrow c$, $a \\rightarrow b \\rightarrow c$, and $a \\rightarrow b \\rightarrow c$ are all candidate association rules.<\/p>\n<p>The number of candidate association rules that can be generated from a frequent itemset $L$ of size $k$ is $2^k &#8211; 1$. This is because there are $2^k$ possible subsets of $L$, and each subset can be the antecedent of a candidate association rule. However, one of these subsets is the empty set, and the rule $L \\rightarrow \\emptyset$ is always true, so it is not considered a candidate association rule.<\/p>\n<p>Here is a more detailed explanation of each option:<\/p>\n<ul>\n<li>Option A: 2k &#8211; 1 candidate association rules. This is the correct answer.<\/li>\n<li>Option B: 2k candidate association rules. This is incorrect because it does not take into account the empty set.<\/li>\n<li>Option C: 2k &#8211; 2 candidate association rules. This is incorrect because it does not take into account the fact that some subsets of $L$ are not antecedents of valid association rules.<\/li>\n<li>Option D: 2k &#8211; 2 candidate association rules. This is incorrect because it does not take into account the fact that the rule $L \\rightarrow \\emptyset$ is always true.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;2k &#8211; 1 candidate association rules&#8221; option2=&#8221;2k candidate association rules&#8221; option3=&#8221;2k &#8211; 2 candidate association rules&#8221; option4=&#8221;2k -2 candidate association rules&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729],"tags":[],"class_list":["post-55737","post","type-post","status-publish","format-standard","hentry","category-machine-learning","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>Given a frequent itemset L, If |L| = k, then there are<\/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\/given-a-frequent-itemset-l-if-l-k-then-there-are\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Given a frequent itemset L, If |L| = k, then there are\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;2k &#8211; 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