Multiple doubling: a simple effective construction technique for optimal two-level experimental designs

Author(s):  
A. M. Elsawah
2014 ◽  
Vol 1 ◽  
pp. 1-14
Author(s):  
G.S. Duggal ◽  
N.B. Okelo

In this paper, a construction equivalent to "sum construction", of BIBDs where BIBD is added to a BIBD that is automorphic to it is presented. The result is that we can get new BIBDs by forming the collection of t-(ν,k,λt) BIBD with its automorphic BIBDs. A new recursive technique has been developed for the construction of designs. It has also clearly shown that every t-design is also a BIB (ν,k,λt) design. Therefore, this construction technique also generates BIBDs. Therefore, this note presents an alternative method that is simpler and unified for the construction of BIBDs that are very important in the experimental designs. As it provides designs for different values of k, unlike many methods that provide designs for a single value of k. Moreso, it provides both Steiner and non-Steiner designs.


2013 ◽  
Vol 20 (3) ◽  
pp. 91-106 ◽  
Author(s):  
Rachel Pizarek ◽  
Valeriy Shafiro ◽  
Patricia McCarthy

Computerized auditory training (CAT) is a convenient, low-cost approach to improving communication of individuals with hearing loss or other communicative disorders. A number of CAT programs are being marketed to patients and audiologists. The present literature review is an examination of evidence for the effectiveness of CAT in improving speech perception in adults with hearing impairments. Six current CAT programs, used in 9 published studies, were reviewed. In all 9 studies, some benefit of CAT for speech perception was demonstrated. Although these results are encouraging, the overall quality of available evidence remains low, and many programs currently on the market have not yet been evaluated. Thus, caution is needed when selecting CAT programs for specific patients. It is hoped that future researchers will (a) examine a greater number of CAT programs using more rigorous experimental designs, (b) determine which program features and training regimens are most effective, and (c) indicate which patients may benefit from CAT the most.


2018 ◽  
Vol 1 (6) ◽  
Author(s):  
Eduardo Alvarez-Alvarez ◽  
Aitor Fernandez-Jimenez ◽  
Manuel Rico-Secades ◽  
Antonio Javier Calleja-Rodriguez ◽  
Joaquin Fernandez-Francos ◽  
...  

2019 ◽  
Author(s):  
Víctor Gabriel Baldovino Medrano ◽  
Karen V. Caballero ◽  
Hernando Guerrero-Amaya

Turnover rates for glycerol esterification with acetic acid over Amberlyst-35 were measured under different temperatures, reactants and active sites concentrations, and catalyst particle sizes. Data were collected in a batch reactor. Experiments were done following a sequence of factorial experimental designs.


Author(s):  
Luiz Fernando Tibério Fernandez ◽  
Guilherme Barufaldi ◽  
Adson De Paula ◽  
Luiz Carlos Sandoval

2020 ◽  
Vol 86 (5) ◽  
pp. 65-72
Author(s):  
Yu. D. Grigoriev

The problem of constructing Q-optimal experimental designs for polynomial regression on the interval [–1, 1] is considered. It is shown that well-known Malyutov – Fedorov designs using D-optimal designs (so-called Legendre spectrum) are other than Q-optimal designs. This statement is a direct consequence of Shabados remark which disproved the Erdős hypothesis that the spectrum (support points) of saturated D-optimal designs for polynomial regression on a segment appeared to be support points of saturated Q-optimal designs. We present a saturated exact Q-optimal design for polynomial regression with s = 3 which proves the Shabados notion and then extend this statement to approximate designs. It is shown that when s = 3, 4 the Malyutov – Fedorov theorem on approximate Q-optimal design is also incorrect, though it still stands for s = 1, 2. The Malyutov – Fedorov designs with Legendre spectrum are considered from the standpoint of their proximity to Q-optimal designs. Case studies revealed that they are close enough for small degrees s of polynomial regression. A universal expression for Q-optimal distribution of the weights pi for support points xi for an arbitrary spectrum is derived. The expression is used to tabulate the distribution of weights for Malyutov – Fedorov designs at s = 3, ..., 6. The general character of the obtained expression is noted for Q-optimal weights with A-optimal weight distribution (Pukelsheim distribution) for the same problem statement. In conclusion a brief recommendation on the numerical construction of Q-optimal designs is given. It is noted that in this case in addition to conventional numerical methods some software systems of symbolic computations using methods of resultants and elimination theory can be successfully applied. The examples of Q-optimal designs considered in the paper are constructed using precisely these methods.


2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Fatma Gustina ◽  
Khadijah Khadijah ◽  
Fauziah Nasution

<p><em>This research was conducted at TK Islam Ibnu Qoyyim, Medan Selayang District. Tthe type of research is experimental research with uses Quasi Experimental Designs. This study aims to determine the influence of Maria Montessori's learning model on the discipline of children in TK Islam Ibnu Qoyyim. The results showed that the Montessori learning model had an effect on the discipline of group A children. The results of the pretest class were 9.3 and the post-test average was 16.80 with the highest post-test 20 and the lowest post-test 12. Class control with an average pre test 9.7 and the average post test 11.7 with the highest value 16 and the lowest value 7. The results of hypothesis testing obtained t count&gt; t table is 18.31&gt; 2.048 with significant numbers. Thus the hypothesis Ho is rejected and Ha is accepted so that it is stated that there is a Significant Effect of Maria Montessori's Learning Model on the Discipline of Group A Children 4-5 Years Old in the TK Islam Ibnu Qoyyim.</em><em></em></p>


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