Record Details

Experimental Designs under Three-way Blocking Structure

KrishiKosh

View Archive Info
 
 
Field Value
 
Title Experimental Designs under Three-way Blocking Structure
M.Sc.
 
Creator ARVIND KUMAR
 
Contributor Cini Varghese
 
Subject research methods, replication, experimental design, sets, land resources, biological phenomena, economic resources, yields, manpower, area
 
Description When heterogeneity present in the experimental material is from three sources, then
three-way blocking of the experimental units is recommended for control/ reduction of
experimental error. For these situations, experimental designs under three-way blocking
structure can be advantageously used. These designs are capable of marking out stony
patches and other features that tend to clump in compact areas or similarity that may
arise due to same group of housing of animals. Gerechte designs and Sudoku square
designs are some popular and useful classes of such designs. To have a greater
application potential, more classes of such designs are constructed to fit into various
experimental situations. Here, eight series of designs under three-way blocking
structure have been developed for regular regions. Out of these, two series of designs
are structurally incomplete one having one empty node and the other having two empty
nodes, in each region. Further, two more series of designs are structurally incomplete
having either one or ( 1
2
v
 ) empty regions. Again, there are many trials where it is
unrealistic to replicate every treatment the same number of times in a three-dimensional
blocking setting. Three series of designs have been obtained for comparing two sets of
treatments, one set consisting of test treatments and the other control treatment(s). Out
of these three series, two series have one control treatment and the third one has two
control treatments. Many times the regions may be irregular, having no uniform shape
and size. So, four methods of constructing designs under three way blocking structure
for irregular regions have been developed in which two methods give structurally
incomplete designs. Each method of construction has been illustrated with appropriate
examples. Considering a four-way classified model, the information matrix for the
estimation of treatment effects has been derived for designs under three-way blocking
set up. Properties of these classes of designs have been studied and canonical efficiency
factor of the designs constructed in comparison to an orthogonal design having same
number of treatments has also been worked out. SAS codes have been developed using
PROC IML to compute the information matrix, variances pertaining to different groups
of treatment comparisons and efficiency factor.
 
Date 2016-03-21T18:50:26Z
2016-03-21T18:50:26Z
2013
 
Type Thesis
 
Identifier http://krishikosh.egranth.ac.in/handle/1/65351
 
Language en_US
 
Format application/pdf
 
Publisher IARI INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE INDIAN AGRICULTURAL RESEARCH INSTITUTE PUSA, NEW DELHI