SMALL SAMPLE SIZE IN 2X2 CROSS OVER DESIGNS: CONDITIONS OF DETERMINATION

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SOLEYMANI B.; FAGHIHZADEH S.; KAZEMNEJAD ANOUSHIRAVAN; BABAEI G.

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Paper Information

Journal: JOURNAL OF RESEARCH IN MEDICAL SCIENCES (JRMS) Year:2001 | Volume:6 | Issue:3 Page(s): 180-184

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Title

SMALL SAMPLE SIZE IN 2X2 CROSS OVER DESIGNS: CONDITIONS OF DETERMINATION

Author(s)

SOLEYMANI B. | FAGHIHZADEH S. | KAZEMNEJAD ANOUSHIRAVAN | BABAEI G. | Issue Writer Certificate

Keywords

SMALL SAMPLE SIZEQ4

2X2 CROSS-OVER STUDYQ4

NORMALITYQ4

CUMULANT OR MOMENT GENERATING FUNCTIONQ4

BIASTATISTICSQ4

RESEARCH METHODOLOGYQ4

Abstract

Introduction. Determination of SMALL SAMPLE SIZE in some clinical trials is a matter of importance. In cross-over studies which are one types of clinical trials, the matter is more significant. In this article, the conditions in which determination of SMALL SAMPLE SIZE in cross-over studies are possible were considered, and the effect of deviation from NORMALITY on the matter has been shown.Methods. The present study has been done on such 2x2 cross-over studies that variable of interest is quantitative one and is measurable by ratio or interval scale. The method of consideration is based on use of variable and sample mean"s distributions, central limit theorem, method of sample size determination in two groups, and CUMULANT OR MOMENT GENERATING FUNCTION.Results. In normal variables or transferable to normal variables, there is no restricting factors other than significant level and power of the test for determination of sample size, but in the case of non-normal variables, it should be determined such large that guarantee the NORMALITY of sample mean"s distribution.Discussion. In such cross over studies that because of existence of theoretical base, few samples can be computed, one should not do it without taking applied worth of results into consideration. While determining sample size, in addition to variance, it is necessary to consider distribution of variable, particularly through its skewness and kurtosis coefficients. the more deviation from NORMALITY, the more need of samples. Since in medical studies most of the continuous variables are closed to normal distribution, a few number of samples often seems to be adequate for convergence of sample mean to normal distribution.

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APA: Copy

SOLEYMANI, B., FAGHIHZADEH, S., KAZEMNEJAD, ANOUSHIRAVAN, & BABAEI, G.. (2001). SMALL SAMPLE SIZE IN 2X2 CROSS OVER DESIGNS: CONDITIONS OF DETERMINATION. JOURNAL OF RESEARCH IN MEDICAL SCIENCES (JRMS), 6(3), 180-184. SID. https://sid.ir/paper/26540/en

Vancouver: Copy

SOLEYMANI B., FAGHIHZADEH S., KAZEMNEJAD ANOUSHIRAVAN, BABAEI G.. SMALL SAMPLE SIZE IN 2X2 CROSS OVER DESIGNS: CONDITIONS OF DETERMINATION. JOURNAL OF RESEARCH IN MEDICAL SCIENCES (JRMS)[Internet]. 2001;6(3):180-184. Available from: https://sid.ir/paper/26540/en

IEEE: Copy

B. SOLEYMANI, S. FAGHIHZADEH, ANOUSHIRAVAN KAZEMNEJAD, and G. BABAEI, “SMALL SAMPLE SIZE IN 2X2 CROSS OVER DESIGNS: CONDITIONS OF DETERMINATION,” JOURNAL OF RESEARCH IN MEDICAL SCIENCES (JRMS), vol. 6, no. 3, pp. 180–184, 2001, [Online]. Available: https://sid.ir/paper/26540/en

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