Base rate fallacy (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Base rate fallacy" in English language version.

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  • Thompson, W.C.; Schumann, E.L. (1987). "Interpretation of Statistical Evidence in Criminal Trials: The Prosecutor's Fallacy and the Defense Attorney's Fallacy". Law and Human Behavior. 11 (3): 167. doi:10.1007/BF01044641. JSTOR 1393631. S2CID 147472915.

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  • The population-wide probability of a SIDS fatality was about 1 in 1,303; Meadow generated his 1-in-73 million estimate from the lesser probability of SIDS death in the Clark household, which had lower risk factors (e.g. non-smoking). In this sub-population he estimated the probability of a single death at 1 in 8,500. See: Joyce, H. (September 2002). "Beyond reasonable doubt" (pdf). plus.maths.org. Retrieved 2010-06-12.. Professor Ray Hill questioned even this first step (1/8,500 vs 1/1,300) in two ways: firstly, on the grounds that it was biased, excluding those factors that increased risk (especially that both children were boys) and (more importantly) because reductions in SIDS risk factors will proportionately reduce murder risk factors, so that the relative frequencies of Münchausen syndrome by proxy and SIDS will remain in the same ratio as in the general population: Hill, Ray (2002). "Cot Death or Murder? – Weighing the Probabilities". it is patently unfair to use the characteristics which basically make her a good, clean-living, mother as factors which count against her. Yes, we can agree that such factors make a natural death less likely – but those same characteristics also make murder less likely.

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  • The population-wide probability of a SIDS fatality was about 1 in 1,303; Meadow generated his 1-in-73 million estimate from the lesser probability of SIDS death in the Clark household, which had lower risk factors (e.g. non-smoking). In this sub-population he estimated the probability of a single death at 1 in 8,500. See: Joyce, H. (September 2002). "Beyond reasonable doubt" (pdf). plus.maths.org. Retrieved 2010-06-12.. Professor Ray Hill questioned even this first step (1/8,500 vs 1/1,300) in two ways: firstly, on the grounds that it was biased, excluding those factors that increased risk (especially that both children were boys) and (more importantly) because reductions in SIDS risk factors will proportionately reduce murder risk factors, so that the relative frequencies of Münchausen syndrome by proxy and SIDS will remain in the same ratio as in the general population: Hill, Ray (2002). "Cot Death or Murder? – Weighing the Probabilities". it is patently unfair to use the characteristics which basically make her a good, clean-living, mother as factors which count against her. Yes, we can agree that such factors make a natural death less likely – but those same characteristics also make murder less likely.

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  • Rheinfurth, M. H.; Howell, L. W. (March 1998). Probability and Statistics in Aerospace Engineering. NASA. p. 16. MESSAGE: False positive tests are more probable than true positive tests when the overall population has a low prevalence of the disease. This is called the false-positive paradox.

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  • "Royal Statistical Society concerned by issues raised in Sally Clark case" (PDF). 23 October 2001. Archived from the original (PDF) on 24 August 2011. Society does not tolerate doctors making serious clinical errors because it is widely understood that such errors could mean the difference between life and death. The case of R v. Sally Clark is one example of a medical expert witness making a serious statistical error, one which may have had a profound effect on the outcome of the case

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  • "COVID-19 Cases, Hospitalizations, and Deaths by Vaccination Status" (PDF). Washington State Department of Health. 2023-01-18. Archived (PDF) from the original on 2023-01-26. Retrieved 2023-02-14. If the exposure to COVID-19 stays the same, as more individuals are vaccinated, more cases, hospitalizations, and deaths will be in vaccinated individuals, as they will continue to make up more and more of the population. For example, if 100% of the population was vaccinated, 100% of cases would be among vaccinated people.

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  • "COVID-19 Cases, Hospitalizations, and Deaths by Vaccination Status" (PDF). Washington State Department of Health. 2023-01-18. Archived (PDF) from the original on 2023-01-26. Retrieved 2023-02-14. If the exposure to COVID-19 stays the same, as more individuals are vaccinated, more cases, hospitalizations, and deaths will be in vaccinated individuals, as they will continue to make up more and more of the population. For example, if 100% of the population was vaccinated, 100% of cases would be among vaccinated people.
  • "Resolution adopted by the Senate (21 October 1998) on the retirement of Professor Sir Roy Meadow". Reporter. No. 428. University of Leeds. 30 November 1998. Archived from the original on 2016-04-16. Retrieved 2015-10-17.
  • Hill, R. (2004). "Multiple sudden infant deaths – coincidence or beyond coincidence?" (PDF). Paediatric and Perinatal Epidemiology. 18 (5): 321. doi:10.1111/j.1365-3016.2004.00560.x. PMID 15367318. Archived from the original (PDF) on 2012-08-30. Retrieved 2010-06-13.
  • "Royal Statistical Society concerned by issues raised in Sally Clark case" (PDF). 23 October 2001. Archived from the original (PDF) on 24 August 2011. Society does not tolerate doctors making serious clinical errors because it is widely understood that such errors could mean the difference between life and death. The case of R v. Sally Clark is one example of a medical expert witness making a serious statistical error, one which may have had a profound effect on the outcome of the case
  • The uncertainty in this range is mainly driven by uncertainty in the likelihood of killing a second child, having killed a first, see: Hill, R. (2004). "Multiple sudden infant deaths – coincidence or beyond coincidence?" (PDF). Paediatric and Perinatal Epidemiology. 18 (5): 322–323. doi:10.1111/j.1365-3016.2004.00560.x. PMID 15367318. Archived from the original (PDF) on 2012-08-30. Retrieved 2010-06-13.

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