مقارنة بين الطرق المختلفة لتقدير مجموع و متوسط مجتمع طبقي باستخدام متغير مساعد واحد

Abstract EN

The work aimed to examine the role of variables in improving the accuracy of the stratified random sampling.

The estimation was used in the two variables and regression line according to the conditions required for each as well as the related theories.

Also a comparison was done between the precise variables theoretically and practically through the relative efficiency.

The paper concluded that the estimation in the variables is more precise than the stratified random sampling which depends mainly on the studied variable if there is correlation between the study variable and the auxiliary variable of more than 50% in each stratum.

It was also concluded that the estimation of the regression line is more precise than the estimation between the two variables and stratified random sampling if the regression line doesn’t pass through the point of origin in each stratum and if the estimate of the two variables and stratified random sampling will not be equal.