イェーツの連続修正
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- the social control of offenders through a system of imprisonment and rehabilitation and probation and parole
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出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2017/07/28 13:43:26」(JST)
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In statistics, Yates' correction for continuity (or Yates' chi-squared test) is used in certain situations when testing for independence in a contingency table. In some cases, Yates' correction may adjust too far, and so its current use is limited.
Contents
- 1 Correction for approximation error
- 2 2 × 2 table
- 3 See also
- 4 References
Correction for approximation error
Using the chi-squared distribution to interpret Pearson's chi-squared statistic requires one to assume that the discrete probability of observed binomial frequencies in the table can be approximated by the continuous chi-squared distribution. This assumption is not quite correct, and introduces some error.
To reduce the error in approximation, Frank Yates, an English statistician, suggested a correction for continuity that adjusts the formula for Pearson's chi-squared test by subtracting 0.5 from the difference between each observed value and its expected value in a 2 × 2 contingency table.[1] This reduces the chi-squared value obtained and thus increases its p-value.
The effect of Yates' correction is to prevent overestimation of statistical significance for small data. This formula is chiefly used when at least one cell of the table has an expected count smaller than 5. Unfortunately, Yates' correction may tend to overcorrect. This can result in an overly conservative result that fails to reject the null hypothesis when it should (a type II error). So it is suggested that Yates' correction is unnecessary even with quite low sample sizes,[2] such as:
The following is Yates' corrected version of Pearson's chi-squared statistics:
where:
- Oi = an observed frequency
- Ei = an expected (theoretical) frequency, asserted by the null hypothesis
- N = number of distinct events
2 × 2 table
As a short-cut, for a 2 × 2 table with the following entries:
|
S |
F |
|
A |
a |
b |
NA |
B |
c |
d |
NB |
|
NS |
NF |
N |
we can write
In some cases, this is better.
See also
- Continuity correction
- Wilson score interval with continuity correction
References
- ^ Yates, F (1934). "Contingency table involving small numbers and the χ2 test". Supplement to the Journal of the Royal Statistical Society 1(2): 217–235. JSTOR 2983604
- ^ Sokal RR, Rohlf F.J. (1981). Biometry: The Principles and Practice of Statistics in Biological Research. Oxford: W.H. Freeman, ISBN 0-7167-1254-7.
UpToDate Contents
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English Journal
- Six-month progression-free survival as the primary endpoint to evaluate the activity of new agents as second-line therapy for advanced urothelial carcinoma.
- Agarwal N1, Bellmunt J2, Maughan BL1, Boucher KM3, Choueiri TK4, Qu AQ4, Vogelzang NJ5, Fougeray R6, Niegisch G7, Albers P7, Wong YN8, Ko YJ9, Sridhar SS10, Tantravahi SK1, Galsky MD11, Petrylak DP12, Vaishampayan UN13, Mehta AN14, Beer TM15, Sternberg CN16, Rosenberg JE17, Sonpavde G18.
- Clinical genitourinary cancer.Clin Genitourin Cancer.2014 Apr;12(2):130-7. doi: 10.1016/j.clgc.2013.09.002. Epub 2013 Sep 28.
- OBJECTIVE: Second-line systemic therapy for advanced urothelial carcinoma (UC) has substantial unmet needs, and current agents show dismal activity. Second-line trials of metastatic UC have used response rate (RR) and median progression-free survival (PFS) as primary endpoints, which may not reflect
- PMID 24220220
- Surgical management and outcome of blunt major liver injuries: experience of damage control laparotomy with perihepatic packing in one trauma centre.
- Lin BC1, Fang JF, Chen RJ, Wong YC, Hsu YP.
- Injury.Injury.2014 Jan;45(1):122-7. doi: 10.1016/j.injury.2013.08.022. Epub 2013 Sep 4.
- INTRODUCTION: This retrospective study aimed to assess the clinical experience and outcome of damage control laparotomy with perihepatic packing in the management of blunt major liver injuries.MATERIALS AND METHODS: From January 1998 to December 2006, 58 patients of blunt major liver injury, America
- PMID 24054002
- Habitat, wildlife, and one health: Arcanobacterium pyogenes in Maryland and Upper Eastern Shore white-tailed deer populations.
- Turner MM1, Deperno CS, Conner MC, Eyler TB, Lancia RA, Klaver RW, Stoskopf MK.
- Infection ecology & epidemiology.Infect Ecol Epidemiol.2013 Aug 6;3. doi: 10.3402/iee.v3i0.19175. Print 2013.
- BACKGROUND: Understanding the distribution of disease in wildlife is key to predicting the impact of emerging zoonotic one health concerns, especially for wildlife species with extensive human and livestock interfaces. The widespread distribution and complex interactions of white-tailed deer (Odocoi
- PMID 23930157
Japanese Journal
- ポアソン変数の差の検定を正規分布近似検定で行なうときの近似度に関する研究
Related Links
- distribution. Therefore, he suggested the corrected statistic (|x−Np|− 1 2) 2 Np(1−p). (1) Kendall and Stuart [8] remarked that Yates’s procedure is a special case of a general concept of a continuity correction, while Pearson [11 ...
- Handbook of Parametric and Nonparametric Statistical Procedures David Sheskin, 2007 David Sheskin. which Yates' correction is not required; c) Some sources recommend that Yates' correction for continuity should always be ...
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