Double Arrays, Triple Arrays and Balanced Grids
نویسندگان
چکیده
Triple arrays are a class of designs introduced by Agrawal in 1966 for two-way elimination of heterogeneity in experiments. In this paper we investigate their existence and their connection to other classes of designs, including balanced incomplete block designs and balanced grids.
منابع مشابه
Double Arrays, Triple Arrays and Balanced Grids with v=r+c - 1
In Theorem 6.1 of [3] it was shown that, when v = r+ c− 1, every triple array TA(v, k, λrr, λcc, k : r × c) is a balanced grid BG(v, k, k : r×c). Here we prove the converse of this Theorem. Our final result is: Let v = r+ c− 1. Then every triple array is a TA(v, k, c− k, r− k, k : r × c) and every balanced grid is a BG(v, k, k : r × c), and they are equivalent.
متن کاملMARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....
متن کاملSynthesis of Antenna Arrays of Maximum Directivity for a Specified Sidelobe Level
Linear and planar antenna arrays are synthesized to have maximum directivity for a specified sidelobe level. The directivity is maximized subject to a given SLL. The beamwidth and the zeros of array factor are studied as well as the directivity. Maximum directivity-arrays are compared through some examples with super-directive, uniform, Dolph-Chebyshev and Riblet-Chebychev arrays to find a comp...
متن کاملSeparation of Salmonella Typhimurium Bacteria from Water Using MWCNTs Arrays
In this study, Salmonella Typhimurium bacteria removal from polluted water has been investigated using multiwall carbon nanotubes arrays. Experimental results reveal that the contact time, the bacterial concentration and the weight of multiwall carbon nanotubes arrays have positive significant effects on the bacteria removal efficiency. Increasing the contact time and the weight of multiwall ca...
متن کاملProfiles of covering arrays of strength two
Covering arrays of strength two have been widely studied as combinatorial models of software interaction test suites for pairwise testing. While numerous algorithmic techniques have been developed for the generation of covering arrays with few columns (factors), the construction of covering arrays with many factors and few tests by these techniques is problematic. Random generation techniques c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 35 شماره
صفحات -
تاریخ انتشار 2005