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öµûùõÎõó¿¡¼­ ÝïÖÇÛÕïÒ°ú õÌîêÛÕïÒ¿¡ μÇÑ æÚϼ A Study on the proportional allocation and optimum allocation in the stratified sampling

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Abstract

The simplest and most useful way of allocating a sample among strata is to allocate it proportionally to the size of the strata.
This method of allocating the sample n among strata so as to minimize <¿ø¹®ÂüÁ¶> is called optimum allocation.
This paper has been made on which one of the proportional allocation and optimum allocation is more efficient.
It has been found that in order to obtain the higher precision of estimates, variance must be smaller. As a result out of the comparison of the above mentioned sampling methods with each other, the following has been arrived at :
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According to the above inequality equations it can be concluded that the variation of the optimum allocation is smaller than the proportional allocation because of the precision of estimates is determined by the size of variance.
Therefore it can be decided that the optimum allocation is more efficient.

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