๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Orthogonal parallel-flats designs for hierarchical models

โœ Scribed by C.T. Liao

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
98 KB
Volume
46
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

โœฆ Synopsis

Orthogonal designs are very popular in many experimental studies because of their optimality properties, ease of analysis, and ease of interpretation. In this paper, we prove a necessary and su cient condition for a parallel-ats design to be orthogonal for estimating the factorial e ects of hierarchical models for general

, where s1; s2; : : : ; sg are assumed to be distinct primes. Some examples are given to illustrate the results.

๐Ÿ“œ SIMILAR VOLUMES

Orthogonal parallel-flats designs for sn
Orthogonal parallel-flats designs for sn11 ร— sn22 mixed factorial experiments
โœ C.T. Liao; H.K. Iyer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 711 KB

Orthogonal factorial and fractional factorial designs are very popular in many experimental studies, particularly in industrial screening experiments. When an experimenter is able to specify the set of nonnegligible factorial effects, it is sometimes possible to obtain an orthogonal design belonging

Sufficient conditions for orthogonal des
Sufficient conditions for orthogonal designs in mixed linear models
โœ Dawn M. VanLeeuwen; Justus F. Seely; David S. Birkes ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

This paper revisits the concepts of orthogonal block structure and orthogonal design in mixed linear models. The primary tool used in investigating these concepts is that of a commutative quadratic subspace. The idea of an error orthogonal design is introduced. These designs are less restrictive tha

Orthogonal factorial design of parallel
Orthogonal factorial design of parallel flats type and its application in biomedical research
โœ Junfang Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

In this paper, orthogonal designs of parallel ats type are generated for 3 m and mixed 2 n ร— 3 m factorial experiments, where factor e ects include the general mean, main e ects, and certain classes of two-factor interactions. The applications of mixed factorial designs in the PCR process of DNA ide