scholarly journals Optimal Designs for Carry Over Effects the Case of Two Treatment and Four Periods

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1179
Author(s):  
Miltiadis S. Chalikias
Keyword(s):  
Experimental Designs ◽  
Optimal Designs ◽  
Experimental Unit ◽  
Carry Over ◽  
Carry Over Effect

The optimal cross-over experimental designs are derived in experiments with two treatments, four periods, and an experimental unit. The results are given for the values n = 0mod4, 1mod4, 2mod4 and 3mod4. The criterion being the minimization of the variance of the estimated carry over effect.

Q-optimal experimental designs and close to them experimental designs for polynomial regression on the interval

2020 ◽  
Vol 86 (5) ◽  
pp. 65-72
Author(s):  
Yu. D. Grigoriev
Keyword(s):  
Optimal Design ◽  
Polynomial Regression ◽  
Direct Consequence ◽  
Experimental Designs ◽  
Optimal Designs ◽  
Software Systems ◽  
General Character ◽  
Support Points ◽  
Optimal Weights ◽  
Universal Expression

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.

scholarly journals Proficiency in Mental Rotation Using Body-related Stimuli: Carry-over Effect of Repeated Exposure

2019 ◽  
Vol 34 (4) ◽  
pp. 455-459
Author(s):  
Ryota HIYOSHI ◽  
Kazunobu FUKUHARA ◽  
Takahiro HIGUCHI
Keyword(s):  
Mental Rotation ◽  
Repeated Exposure ◽  
Carry Over ◽  
Carry Over Effect

scholarly journals In vitro study of the carry-over effect associated with early diabetic embryopathy in the rat

Diabetologia ◽  
1994 ◽  
Vol 37 (9) ◽  
pp. 855-862 ◽  
Author(s):  
S. Pampfer ◽  
Y. D. Wuu ◽  
I. Vanderheyden ◽  
R. De Hertogh
Keyword(s):  
In Vitro Study ◽  
Vitro Study ◽  
Diabetic Embryopathy ◽  
Carry Over ◽  
Carry Over Effect

Carry-over effect on IFN-gamma production induced by allergen-specific immunotherapy

2008 ◽  
Vol 8 (12) ◽  
pp. 1622-1625 ◽  
Author(s):  
Giorgio Ciprandi ◽  
Maria Pia Sormani ◽  
Gilberto Filaci ◽  
Daniela Fenoglio
Keyword(s):  
Specific Immunotherapy ◽  
Allergen Specific Immunotherapy ◽  
Ifn Gamma ◽  
Carry Over ◽  
Carry Over Effect

scholarly journals Effect of Penicillin on the Niacin Requirement of Turkeys and a Carry-over Effect of Penicillin from Dams to Progeny

1953 ◽  
Vol 32 (5) ◽  
pp. 754-762 ◽  
Author(s):  
S.J. Slinger ◽  
W.F. Pepper ◽  
A.M. Morphet ◽  
E.V. Evans
Keyword(s):  
Carry Over ◽  
Carry Over Effect

Sulfisoxazole Chemoprophylaxis for Frequent Otitis Media

PEDIATRICS ◽  
1983 ◽  
Vol 71 (4) ◽  
pp. 524-530
Author(s):  
Thomas E. Liston ◽  
Col William S. Foshee ◽  
Maj Wayne D. Pierson
Keyword(s):  
Crossover Study ◽  
Otitis Media ◽  
Active Drug ◽  
Eustachian Tube Function ◽  
Double Blind ◽  
Double Blind Placebo ◽  
Significant Difference ◽  
Tube Function ◽  
Carry Over ◽  
Carry Over Effect

Sulfisoxazole, 75 mg/kg/d in two divided doses for 3 months, was administered in a double-blind placebo crossover study to 35 children aged 6 months to 5 years who had frequent recurring episodes of otitis media. There was a 40% reduction in the rate of otitis media among patients receiving sulfisoxazole compared with those receiving placebo (0.25 v 0.42 episode per patient-month) which did not depend on age, sex, season, or several other factors. Using a randomized order, among patients who received placebo first, there was a 64% reduction on sulfisoxazole therapy compared with placebo (0.20 v 0.56 episode per patient-month). In this subgroup, there was significant improvement in eustachian tube function according to serial tympanograms. In the patients who received sulfisoxazole first, the rate of acute otitis remained low on placebo (0.28 v 0.30 episode per patient-month), and tympanogram patterns continued to improve after discontinuation of the active drug. These differences suggest a carry-over effect from the benefits of chemoprophylaxis. There was no significant difference in the species or sensitivity patterns of bacteria isolated from patients receiving sulfisoxazole or placebo. Sulfisoxazole chemoprophylaxis appears to be safe and effective in significantly reducing episodes of otitis media and improving tympanogram patterns.

CD SEM carry-over effect investigation

2001 ◽  
Author(s):  
Anna K. Chernakova ◽  
Alan J. Fan
Keyword(s):  
Carry Over ◽  
Carry Over Effect

scholarly journals The Carry-Over Effect of Competition in Task-Sharing: Evidence from the Joint Simon Task

PLoS ONE ◽  
2014 ◽  
Vol 9 (6) ◽  
pp. e97991 ◽  
Author(s):  
Cristina Iani ◽  
Filomena Anelli ◽  
Roberto Nicoletti ◽  
Sandro Rubichi
Keyword(s):  
Simon Task ◽  
Task Sharing ◽  
Carry Over ◽  
Carry Over Effect
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