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2014 | 15 | 4 | 535-544
Article title

Statistical Analysis of a Questionnaire: Voluntary Health Insurance Implementation Among Patients Suffering From Allergy and Asthma

Content
Title variants
Languages of publication
EN
Abstracts
EN
We consider statistical analysis of multiple answers in a questionna- ire. We propose a new method of calculating simultaneous confidence regions. In a communication presented at the European Academy of Allergy and Clinical Immunology the authors (Borowicz et al. (2009)) reported the proportions of respondents which gave one of three po- ssible exclusive answers in a questionnaire concerning the role of vo- luntary health insurance. There were three possible answers. Apart from percentages of answers confidence intervals of every single an- swer have been reported. Unfortunately inference about the popula- tion based on such intervals may lead to imprecise conclusions. The inference about the respective population suffering from allergy and asthma proportions requires the construction of two-dimensional confidence region. We propose the use of a simultaneous confidence intervals to inference about true population proportions. Most of our attention is given to the case of three possible answers but the results may be generalized to any questionnaire with more than two excluding answers.
Year
Volume
15
Issue
4
Pages
535-544
Physical description
Contributors
  • Department of the Prevention of Environmental Hazards and Allergology, Medical University of Warsaw, Banacha 1a, 02-097 Warszawa
  • Department of Econometrics and Statistics, Warsaw University of Life Sciences, Nowoursy- nowska 159, 02-776 Warszawa
References
  • BISZOF, A., MEJZA, S., (2004). Jednoczesne przedziały ufności dla prawdopodobieństwa w rozkładzie wielomianowym, Colloquium Biometryczne, 34, 77-84.
  • BLAND, M., (2000). An introduction to medical statistics, Oxford University Press, Third edition.
  • BOROWICZ, J., SAMOLIŃSKI, B., FURMAŃCZYK, K., WALKIEWICZ, A., LUSAWA, A., MARSZAŁKOWSKA, J. et al., (2009). Attitudes towards the idea of voluntary health insurance implementation among patients suffering from allergy and asthma. Allergy 64 (Suppl. 90): 435 (abs- tract 1140).
  • CORREA, J. C., (2001). Interval Estimation of the Parameters of the Multinomial Distribution, ip.statjournals.net:2002/InterStat/ARTICLES/2001/ articles/O01001.pdf.
  • FITZPATRICK, S., SCOTT, A., (1987). Quick simultaneous confidence intervals for multinomial proportions, Journal of the American Statistical Association, 82, 875-878.
  • GOODMAN, L. A., (1965). On simultaneous confidence intervals for multinomial proportions, Technometrics, 7, 247-254.
  • GREENWOOD, D. E., NIKULIN, M. S., (1996). A guide to chi-squared te-sting, Willey.
  • HARTON, A., ZIELIŃSKI, W., (2005). Confidence region for probabilities of a multinomial distribution. Colloquium Biometricum, 35, 141-145.
  • MAY, W. L., JOHNSON, W. D., (1997). Properties of simultaneous confidence intervals for multinomial proportions, Communications in Statistics - Simulations, 26, 495-518.
  • PEACOCK, J. L., PEACOCK, P. J., (2011). Oxford handbook of medical statistics. Oxford University Press.
  • QUESENBERRY, C. P., HURST, D. C., (1964). Large sample simultaneous confidence intervals for multinomial proportions,Technometrics, 6, 191-195.
  • ZIELIŃSKI, W., (2008). A remark on interpretation of pooling results. Folia Oeconomica Stetinensia, 7(15), 56-62.
  • ZIELIŃSKI, W., (2011). Comparison of confidence intervals for fraction in finite populations, Quantitative Methods in Economics, XII, 177-182.
  • R DEVELOPMENT CORE TEAM, (2008). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, http://www.R-project.org. http://ecap.pl/eng www/index home.html.
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-582f9d33-1dc9-48d7-83d2-239c07c1b51b
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