Statistical Treatment of Experimental Data

1979 ◽  
Vol 11 (4) ◽  
pp. 220-221
Author(s):  
J. J. Shuster
1988 ◽  
Vol 2 (3) ◽  
pp. 304-309 ◽  
Author(s):  
Jerry L. Flint ◽  
Paul L. Cornelius ◽  
Michael Barrett

A model and a proposed method for testing herbicide interactions were modified from an analysis of variance (ANOVA) model for a 2 by 2 factorial experiment. Statistical tests for either synergism, antagonism, or additivity of herbicide combinations were developed through transforming growth data to logarithms followed by significance tests of 2 by 2 contrasts of the form μii- μi0- μ0i+ μ00with respect to the log-transformed data. Using actual experimental data, heterogeneity of variance was less severe on the log scale compared to the original measurement scale. An expedient SAS(R)program for obtaining the desired significance tests was developed.


1964 ◽  
Vol 32 (4) ◽  
pp. 322-322 ◽  
Author(s):  
Hugh D. Young ◽  
Chas Williamson

2008 ◽  
Vol 73 (6-7) ◽  
pp. 898-908 ◽  
Author(s):  
Jean-Marie André ◽  
Denis Jacquemin ◽  
Eric A. Perpete ◽  
Daniel P. Vercauteren ◽  
Valérie Wathelet

Using the parameter-free PBE0 hybrid functional in conjunction with the conducting PCM model, we compute the UV/VIS spectra of a series of solvated phenol and nitrobenzene chromogens. For the first series, the average deviation with respect to experiment is large (about 0.5 eV) but the auxochromic shifts are very accurately and consistently predicted. Therefore, after a statistical treatment, the TD-DFT values are within 0.02 eV of the experimental data. For nitrobenzenes, the average discrepancy is smaller than for phenols, though the impact of individual substitution is much less consistent with experimental trends. We also confirm that push-pull compounds with donor and acceptor groups in meta positions are especially problematic for TD-DFT calculations relying on conventional hybrids, and we unravel the origin of this specific difficulty.


2019 ◽  
Vol 26 ◽  
pp. 187
Author(s):  
Patroklos-Miltiadis Mamaloukas ◽  
Theo J. Mertzimekis

Driven by the need to describe strong nuclear interactions between hadrons in a nucleus, we take a closer look at evaluated experimental data of nuclear charge radii acquired mainly with laser spectroscopy methods. Understanding the range at which the components of the nucleus interact with each other shall lead to even more accurate models of nuclear potentials, and even understanding limitations of fundamental symmetries. The present work takes advantage of the existing IAEA database by Angeli & Marinova, and an additional set of recently surveyed measurements, specifically between 2013–2018. Statistical treatment includes different polynomial fits for the entirety of the data set with the intention of confirming or improving the well-established empirical formula, R=roA1/3. Various trends of observed deviations from this formula are investigated in terms of structure effects spanning major shells and near magic numbers.


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