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|b ليبيا
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|9 444253
|a Leghwel, Abd Alrzak M.
|e Author
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|a On Some Applications of Hadamard Matrices
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|b الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم
|c 2012
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|a 14 - 36
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| 336 |
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|a بحوث ومقالات
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|b 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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| 653 |
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|a المصفوفات الرياضية
|a العمليات الحسابية
|a مصفوفة هدامارد
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| 773 |
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|4 العلوم الإنسانية ، متعددة التخصصات
|6 Humanities, Multidisciplinary
|c 012
|l 022
|m ع22
|o 1582
|s مجلة العلوم الإنسانية والتطبيقية
|t Journal of Humanities and Applied Sciences
|v 000
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| 856 |
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|u 1582-000-022-012.pdf
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| 930 |
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|d y
|p y
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| 995 |
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|a HumanIndex
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|c 829124
|d 829124
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