On Some Applications of Hadamard Matrices
| المصدر: | مجلة العلوم الإنسانية والتطبيقية |
|---|---|
| الناشر: | الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم |
| المؤلف الرئيسي: | Leghwel, Abd Alrzak M. (Author) |
| المجلد/العدد: | ع22 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2012
|
| الصفحات: | 14 - 36 |
| رقم MD: | 829124 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | HumanIndex |
| مواضيع: | |
| رابط المحتوى: |
عدد مرات التحميل
1
| المستخلص: |
Orthogonal arrays and t-designs are two of many combinatorial structures which have been found to be very useful in the statistical area of Experimental Design . Orthogonal arrays were introduced as suitable designs for planned experiments by [8] . Rao also gave key statistical properties for these arrays . On the other hand, the study of certain t-designs pre-dates the subject of Experimental Design which began in the 1920's . Now-a-days orthogonal arrays are used frequently in the design of quality control experiments largely due to the efforts of [10] . Moreover, 2-designs and 3-designs are used in all kinds of planned experiments including agricultural experiments. The practical utility of orthogonal arrays and t-designs has spurred research on these topics by both mathematicians and statisticians . The main objective of this paper is, therefore, to present constructions of certain classes of these combinatorial structures using Hadamard matrices as a tool. In first part of the paper we introduce the concept of an orthogonal array and in second part of the paper we use Hadamard matrices to construct arrays of strength 2 and strength 3 . In the third part of the paper motivates and then introduces the definition of t-designs . finally, we use Hadamard matrices to construct certain classes of these designs known as Hadamard 2- and 3- designs . Examples illustrating these constructions are also given. |
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عناصر مشابهة
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On Some Characterizations of Hadamard Matrices
بواسطة: Leghwel, Abd Alrzak M. منشور: (2013) -
On Some Methods of Constructing Hadamard Matrices
بواسطة: Leghwel, Abd Alrzak M. منشور: (2014) -
A Remark on the Hadamard Matrices of the Williamson Type
بواسطة: Leghwel, Abd Alrzak M. منشور: (2014) -
On The Excess of Hadamard Matrix
بواسطة: Leghwel, Abd Alrzak M. منشور: (2011) -
The Kronecker Product and The Hadamard Product of Matrices
بواسطة: Abu Shalha, Iman Ali Sulieman منشور: (2000)
