METHOD OF APPROXIMATELY OPTIMAL STRATIFICATION USING NEYMAN ALLOCATION | ||
| Journal of University of Anbar for Pure Science | ||
| Article 13, Volume 4, Issue 3, December 2010, Pages 44-49 PDF (610.48 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2010.15596 | ||
| Author | ||
| ISAM K. AHMED* | ||
| Anbar University - College of Education for Pure Sciences | ||
| Abstract | ||
| In this paper ,I have studied a new(which cum.f approximate method)is used for calculating the approximate normal boundaries by using the Neyman allocation in case of studying classes that have heterogeneous samples and compared it with the most efficient approximate method ,which is ) (cum.f 6 5 .It turned out through this study that the new method is more efficient than the old method in case of the uniform distribution and for all values of d ,while in case of the normal distribution , the efficiency of the new method on the old one depends on value (σ ) ,if it was (σ < 0.2287 ) the old method would be more efficient than the new one ,while if it was (σ = 0.2287 ) ,the two methods would be at the same level of efficiency ,while if it was (σ >0.2287 ) ,the new method would be more efficient than the old one ,As for the exponential distribution ,the new method would not always be efficient but during specific moment depending on value (λ ) ,while if it was (λ < 3.042 ) ,the new method would be more efficient than the old one ,if it was (λ = 3.42 ) the two methods would be at the same level of efficiency , while if it was ( λ > 3.042) the old method would be more efficient than the new one. | ||
| References | ||
|
1 – الحسو ,أزهار عبد الرزاق , القصاب ,موفق محمد , طرق تقریبیة لحساب الحدود الطبقیة المثلى باستخدام توزیع نیومان ,العراق ,جامعة الموصل ,رسالة ماجستیر ,1996 2 – المذحجی ,الهام عبد العزیز ,القصاب ,موفق محمد ,مسالة التقسیم الطبقی الأمثل باستخدام تخصیص نیومان ,الأردن ,جامعة أل البیت,2003 3 – Al – Kassab .MMT & Al-Taay .H ,"Approximately Optimal Stratification Using Neyman Allocation" ,J of Tanmiat Al – Rafidain ,(1994) .
4 – Dalenius .T & Hodges .J .L ,"Minimum Variance Stratification" .J .Amer. Stat. Ass. Vol. 54.pp.88 – 101 ,(1959).
5 – Serfling .R .S ."Approximately Optimal Stratification ".J .Amer .Stat .Ass .Vol .63 .pp.1298 – 1309 .(1968)
6 – Singh ,R .& Sukhatme .B .V , "Optimum Stratification" ,Ann .1nst .Stat .Math ,Vol 21 ,Pp .515 – 529 ,(1969)
7 - Singh ,R .& Sukhatme .B .V ,A Not On , "Optimum Stratification" . J .of Indian Soc ,Vol .24 ,Pp .91 – 98 ,(1972)
8- Ahmed mahir R.,AL-khazaleh A.m H., Akassab m.mt."approximation method in finding optimum stratum depending on Neyman Allocation Applied on beta distribution"21wseas int. conf. on applied mathematics, cairo,Egpt, December 29-31,2007 pp. 341-345. | ||
|
Statistics Article View: 206 PDF Download: 155 |
||