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text: '[summary: Given a piece of evidence $e$ and two hypothsese $H_i$ and $H_j,$ the likelihood ratio between them is the ratio of the [-56v] each hypothesis assigns to $e$ For example, let $e$ = "Mr. Boddy was knifed", and say that Professor Plum is 25% likely to use a knife while Mrs. White is only 5% likely to use a knife. Then the likelihood ratio of $e$ between the hypotheses "Plum did it" and "Mrs. White did it" is 25/5 = 5/1. See also [1rq].]\n\nGiven a piece of evidence $e_0$ and two hypothsese $H_i$ and $H_j,$ the likelihood ratio between them is the ratio of the [-56v] each hypothesis assigns to $e_0.$\n\nFor example, imagine the evidence is $e$ = "Mr. Boddy was knifed", and the hypotheses are $H_P$ = "Professor Plum did it" and $H_W$ = "Mrs. White did it." Let's say that, if Professor Plum were the killer, we're 25% sure he would have used a knife. Let's also say that, if Mrs. White were the killer, there's only a 5% chance she would have used a knife. Then the likelihood ratio of $e_0$ between $H_P$ and $H_W$ is 25/5 = 5, which says that $H_P$ assigns five times as much likelihood to $e$ as does $H_W,$ which means that the evidence supports the "Plum did it" hypothesis five times as much as it supports the "Mrs. White did it" hypothesis.\n\nA likelihood ratio of 5 denotes [1rq relative likelihoods] of $(5 : 1).$ Relative likelihoods can be multiplied by [1rb odds] in order to update those odds, as per [1lz].',
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Summary: 'Given a piece of evidence $e$ and two hypothsese $H_i$ and $H_j,$ the likelihood ratio between them is the ratio of the [-56v] each hypothesis assigns to $e$ For example, let $e$ = "Mr. Boddy was knifed", and say that Professor Plum is 25% likely to use a knife while Mrs. White is only 5% likely to use a knife. Then the likelihood ratio of $e$ between the hypotheses "Plum did it" and "Mrs. White did it" is 25/5 = 5/1. See also [1rq].'
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