Using graphs to find the best block designs
RA Bailey, PJ Cameron - arXiv preprint arXiv:1111.3768, 2011 - arxiv.org
A statistician designing an experiment wants to get as much information as possible from the
data gathered. Often this means the most precise estimate possible (that is, an estimate with …
data gathered. Often this means the most precise estimate possible (that is, an estimate with …
A note on robustness of D-optimal block designs for two-colour microarray experiments
RA Bailey, K Schiffl, RD Hilgers - Journal of Statistical Planning and …, 2013 - Elsevier
Two-colour microarray experiments form an important tool in gene expression analysis. Due
to the high risk of missing observations in microarray experiments, it is fundamental to …
to the high risk of missing observations in microarray experiments, it is fundamental to …
Optimal incomplete-block designs with low replication: A unified approach using graphs
RA Bailey, A Sajjad - Journal of Statistical Theory and Practice, 2021 - Springer
An incomplete-block design defines both a concurrence graph and a Levi graph. Properties
of either graph can be used to compare designs with respect to D-optimality and with respect …
of either graph can be used to compare designs with respect to D-optimality and with respect …
Minimum breakdown designs in blocks of size two
SF Tsai, CT Liao - Journal of Statistical Planning and Inference, 2013 - Elsevier
In scientific investigations, there are many situations where each two experimental units
have to be grouped into a block of size two. For planning such experiments, the variance …
have to be grouped into a block of size two. For planning such experiments, the variance …
Designs with blocks of size two and applications to microarray experiments
J Godolphin - The Annals of Statistics, 2018 - JSTOR
Designs with blocks of size two have numerous applications. In experimental situations
where observation loss is common, it is important for a design to be robust against …
where observation loss is common, it is important for a design to be robust against …
Conditions for connectivity of incomplete block designs
J Godolphin - Quality and Reliability Engineering International, 2019 - Wiley Online Library
In experimental situations where observation loss is common, it is important for a design to
be robust against breakdown. For incomplete block designs, with one treatment factor and a …
be robust against breakdown. For incomplete block designs, with one treatment factor and a …
The use of treatment concurrences to assess robustness of binary block designs against the loss of whole blocks
JD Godolphin, EJ Godolphin - Australian & New Zealand …, 2015 - Wiley Online Library
Criteria are proposed for assessing the robustness of a binary block design against the loss
of whole blocks, based on summing entries of selected upper non‐principal sections of the …
of whole blocks, based on summing entries of selected upper non‐principal sections of the …
Robust assessment of two-treatment higher-order cross-over designs against missing values
PJ Godolphin, EJ Godolphin - Computational Statistics & Data Analysis, 2019 - Elsevier
In scientific experiments where human behaviour or animal response is intrinsically
involved, such as clinical trials, there is a strong possibility of recording missing values …
involved, such as clinical trials, there is a strong possibility of recording missing values …
A genetic algorithm for designing microarray experiments
AHMM Latif, E Brunner - Computational Statistics, 2016 - Springer
Heuristic techniques of optimization can be useful in designing complex experiments, such
as microarray experiments. They have advantages over the traditional methods of …
as microarray experiments. They have advantages over the traditional methods of …
ALTERNATE METHOD FOR THE ROBUSTNESS OF THE BLOCK DESIGN OF BLOCK SIZES TWO AGAINST THE LOSS OF WHOLE BLOCKS.
DK Ghosh, NR Desai - International Journal of Agricultural & …, 2024 - search.ebscohost.com
The usual procedure for indentifying the block design to be connected is rank of C matrix
(information matrix) should be (v-1), if this violates then design becomes disconnected …
(information matrix) should be (v-1), if this violates then design becomes disconnected …