Titlebook: Digressions in Elementary Probability; The Unexpected in Me Edward Beltrami Book 2024 The Editor(s) (if applicable) and The Author(s), unde

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2199-0956 xt, another medical case study this time concerning some tricky questions about the effectiveness of colonoscopy and other medical interventions. A brief discussion of the mathematics of clinical trials, follow978-3-031-70053-8978-3-031-70051-4Series ISSN 2199-0956 Series E-ISSN 2199-0964

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, not just in your backyard, may not be all that small. As the Poisson approximation shows, a cluster is likely to happen somewhere by chance and will affect someone other than you and your community. When it happens to you it induces skepticism and distrust (see Gawande [18]). This is a common prob

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t it can be refuted. This is analogous to proving a theorem in mathematics by assuming the result is false and then showing that this leads to a contradiction implying that the result must in turn have been true all along. If H. is true there will still be detectable differences due to sampling erro

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Cancer Clusters,, not just in your backyard, may not be all that small. As the Poisson approximation shows, a cluster is likely to happen somewhere by chance and will affect someone other than you and your community. When it happens to you it induces skepticism and distrust (see Gawande [18]). This is a common prob

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Clinical Trials,t it can be refuted. This is analogous to proving a theorem in mathematics by assuming the result is false and then showing that this leads to a contradiction implying that the result must in turn have been true all along. If H. is true there will still be detectable differences due to sampling erro

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The Remarkable Streak of Joe Di Maggio,athematician Simeon-Denis Poisson. In later chapters we treat Poisson processes more generally but our primary interest here is the role of the Poisson as an approximation to the Binomial distribution.

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