Optimally estimating the sample mean from the sample size, median, mid-range, and/or mid-quartile range

Statistical Methods in Medical Research

Volumn 27, Issue 6, 2018, Pages 1785-1805

  Luo, Dehui ^a   Wan, Xiang ^a   Liu, Jiming ^a   Tong, Tiejun ^a  

^a HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

Median; meta analysis; mid quartile range; mid range; optimal weight; sample mean; sample size

Indexed keywords

ARTICLE; CLINICAL TRIAL (TOPIC); HUMAN; META ANALYSIS; SAMPLE SIZE; SCIENTIST; STATISTICS; THEORETICAL STUDY; THUMB; ALGORITHM; EPIDEMIOLOGY; EVIDENCE BASED MEDICINE; META ANALYSIS (TOPIC);

ALGORITHMS; EVIDENCE-BASED MEDICINE; META-ANALYSIS AS TOPIC; SAMPLE SIZE; SAMPLING STUDIES;

EID: 85042003325     PISSN: 09622802     EISSN: 14770334     Source Type: Journal    
DOI: 10.1177/0962280216669183     Document Type: Article

References (21)

1. Guyatt G, Cairns J, Churchill D, Evidence-based medicine: a new approach to teaching the practice of medicine. J Am Med Assoc 1992; 268: 2420–2425.
2. Abuabara K, Freeman EE, Dellavalle R. The role of systematic reviews and meta-analysis in dermatology. J Invest Dermatol 2012; 132: e2–e2.
3. Hozo SP, Djulbegovic B, Hozo I. Estimating the mean and variance from the median, range, and the size of a sample. BMC Med Res Methodol 2005; 5.
4. Wan X, Wang W, Liu J, Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range. BMC Med Res Methodol 2014; 14.
5. Bland M. Estimating mean and standard deviation from the sample size, three quartiles, minimum, and maximum. Int J Stat Med Res 2015; 4: 57–64.
6. Triola MF. Elementary statistics, 11th ed. Boston: Addison Wesley, 2009.
7. Johnson R, Kuby P. Elementary statistics, Boston: Cengage Learning, 2007.
8. Nnoaham KE, Clarke A. Low serum vitamin D levels and tuberculosis: a systematic review and meta-analysis. Int J Epidemiol 2008; 37: 113–119.
9. Cohen J. Statistical power analysis for the behavioral sciences, New York: Academic Press, 2013.
10. Chinn S. A simple method for converting an odds ratio to effect size for use in meta-analysis. Stat Med 2000; 19: 3127–3131.
11. Davies P, Brown R, Woodhead J. Serum concentrations of vitamin D metabolites in untreated tuberculosis. Thorax 1985; 40: 187–190.
12. Grange J, Davies P, Brown R, A study of vitamin D levels in Indonesian patients with untreated pulmonary tuberculosis. Tubercle 1985; 66: 187–191.
13. Davies P, Church H, Brown R, Raised serum calcium in tuberculosis patients in Africa. Eur J Resp Dis 1987; 71: 341–344.
14. Davies P, Church H, Charumilind A, Altered vitamin D homeostasis in tuberculosis. Int Med J Thailand 1988; 4: 45–47.
15. Chan T, Poon P, Pang J, A study of calcium and vitamin D metabolism in Chinese patients with pulmonary tuberculosis. J Trop Med Hygiene 1994; 97: 26–30.
16. Wilkinson RJ, Llewelyn M, Toossi Z, Influence of vitamin D deficiency and vitamin D receptor polymorphisms on tuberculosis among Gujarati Asians in west London: a case-control study. The Lancet 2000; 355: 618–621.
17. Sasidharan P, Rajeev E, Vijayakumari V. Tuberculosis and vitamin D deficiency. J Assoc Phys India 2002; 50: 554–558.
18. Higgins JP, Thompson SG, Deeks JJ, Measuring inconsistency in meta-analyses. Br Med J 2003; 327: 557–560.
19. Arnold BC, Balakrishnan N. Relations, bounds and approximations for order statistics. Lecture Notes in Statistics, Vol.53. Berlin Heidelberg, New York: Springer-Verlag, 1989.
20. Chen H. Large sample theory. University Lecture 2004, http://www.math.ntu.edu.tw/∼hchen/teaching/LargeSample/notes/noteorder.pdf (accessed 30 August 2016)
21. Ahsanullah M, Nevzorov VB, Shakil M. An introduction to order statistics, Paris: Springer, 2013.