استخدام التصميم الامثل - D لتجارب القطاعات غير الكاملة المتزنة بنفس المعلمات == Using The D - Optimal Design For The Unbalanced Incomplete Block Design With The Same Parameters

Author name: غياث حميد مجيد
Supervisor name: عماد حازم عبودي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages: 07T3930 - p.pdf
Abstract: تهتم هذه الرسالة بالخصائص الاحصائية للتصاميم التجريبية وكيفية اختزال وتقليل الخطا التجريبي في التجربة وذلك باستخدام التصميم الامثل. وقد تم استخدام التصميم الامثل من النوع امثل D - (D - Optimal)، اذ ان امثلية D - تكون مقاسـة بالقيمة المتوقعة لمحددة م | This study deals with the statistical features of the experimental designs and how to cancel and reduce the Experimental Error of the experiment through using the Optimal Design. The Optimal Design of D - Optimal has been adopted. The D - Optimal has been measured by the expected value for the determinant matrices of data for the adopted experimental design and reduce that value to its minimum. The data has been used in designing the Unbalanced Incomplete Block Designs (UIBD). The study comprises four chapters. Each chapter contains many sections that include the contents of these chapters, the first chapter contains the introduction and the aim of the study with a historical view for some other similar studies and some general affairs. The second one includes the theoretical background which concerns the Unbalanced Incomplete Block Design and the optimal designs. The third chapter deals with the application of the experiment by taking data for an agricultural experiment to studying the effect of six kinds of manures on a plant and by using the D - optimal design for the experiment on three types of information matrix. Finally, the fourth chapter deals with the conclusions and the recommendations which have been arrived at as a result of the experiment
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