Determination of model fitting with power-divergence-type measure of departure from symmetry for sparse and non-sparse square contingency tables

2020 ◽  
pp. 1-25
Author(s):  
Gökçen Altun ◽  
Tülay Saraçbaşı
Keyword(s):  
Contingency Tables ◽  
Model Fitting ◽  
Divergence Type ◽  
Power Divergence

Nonparametric Versus Parametric Reasoning Based on Contingency Tables

2019 ◽  
Vol 65 (3) ◽  
pp. 314-349
Author(s):  
Piotr Sulewski
Keyword(s):  
Monte Carlo ◽  
Maximum Likelihood Method ◽  
Flow Parameter ◽  
Contingency Tables ◽  
Likelihood Method ◽  
The Monte Carlo Method ◽  
Divergence Statistics ◽  
Probability Flow ◽  
Power Divergence ◽  
Nonparametric Statistical

This paper proposes scenarios of generating two-way and three way contingency tables (CTs). A concept of probability flow parameter (PFP) plays a crucial role in these scenarios. Additionally, measures of untruthfulness of H0 are defined. The power divergence statistics and the |X| statistics are used. This paper is a simple attempt to replace a nonparametric statistical inference from CTs by the parametric one. Maximum likelihood method is applied to estimate PFP and instructions of generating CTs according to scenarios in question are presented. The Monte Carlo method is used to carry out computer simulations.

A necessary power divergence-type family of tests for testing elliptical symmetry

2012 ◽  
Vol 84 (1) ◽  
pp. 57-83 ◽  
Author(s):  
Apostolos Batsidis ◽  
Nirian Martin ◽  
Leandro Pardo ◽  
Konstantinos Zografos
Keyword(s):  
Elliptical Symmetry ◽  
Divergence Type ◽  
Power Divergence

Partitioning of pulmonary impedance: modeling vs. alveolar capsule approach

1993 ◽  
Vol 75 (2) ◽  
pp. 513-521 ◽  
Author(s):  
F. Petak ◽  
Z. Hantos ◽  
A. Adamicza ◽  
B. Daroczy
Keyword(s):  
Excellent Agreement ◽  
Input Impedance ◽  
Small Amplitude ◽  
Airway Resistance ◽  
Model Fitting ◽  
Damping Coefficients ◽  
Open Chest ◽  
Impedance Modeling ◽  
Isolated Lungs

Pulmonary input impedance (ZL), transfer tissue impedances (Ztti), and transfer airway impedances (Ztaw) were measured in open-chest dogs and isolated canine lungs by means of small-amplitude pseudorandom oscillations between 0.2 and 21.1 Hz. In the determination of Ztti and Ztaw, local alveolar pressures (PA) sensed in alveolar capsules were used. The global impedances of the airways (Zaw) and tissues (Zti) were estimated by fitting to the ZL data between 0.2 and 4.9 Hz (open-chest dogs) and between 0.2 and 5.9 Hz (isolated lungs) two models based on Hildebrandt's formulations (Bull. Math. Biophys. 31: 651–667, 1969), the parameters of which included airway resistance (Raw) and inertance (Iaw) and tissue damping (GL) and elastance (HL). The tissue parameters of Ztti (Gti and Hti) were also obtained from model fitting, whereas the Ztaw data were evaluated in terms of resistance (Rtaw) and inertance (Itaw). Excellent agreement was found between HL and Hti in both experimental groups and between GL and Gti in the isolated lungs (r > or = 0.999). The damping coefficients were also closely related in the open-chest dogs (r = 0.95), but Gti overestimated GL slightly (by 9%). Raw was underestimated by Rtaw (by 3–33%) and Iaw by Itaw (by 2–16%), depending on the model type and, in the excised lungs, the number of punctures in the capsules. In the case of the airway parameters, the systematic differences were accompanied by lower r values (0.535–0.935), which are explained primarily by the regional variations in PA.(ABSTRACT TRUNCATED AT 250 WORDS)

scholarly journals COMF: Comprehensive Model-Fitting Method for Simulating Isothermal and Single-Step Solid-State Reactions

Crystals ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 139
Author(s):  
Yannis Vasilopoulos ◽  
Eliška Skořepová ◽  
Miroslav Šoóš
Keyword(s):  
Solid State ◽  
Model Fitting ◽  
Single Step ◽  
Solid State Reactions ◽  
Comprehensive Model ◽  
Ranking Criterion ◽  
Fitting Method ◽  
Reaction Speed ◽  
Selection Of

It is well known that the implementation of the conventional model-fitting (CMF) method leads to several indistinguishable ‘best’ candidate models (BCMs) for a single-step isothermal solid-state reaction (ISSR), meaning that subjective selection becomes unavoidable. Here, we developed a more robust comprehensive model-fitting method (COMF) which, while maintaining the mathematical simplicity of CMF, utilizes a ranking criterion that enables automatic and unambiguous determination of the BCM. For each model evaluated, COMF, like CMF, fits the integral reaction rate, but, unlike CMF, it also fits the experimental conversion fraction and reaction speed. From this, three different determination coefficients are calculated and combined to rank the considered models. To validate COMF, we used two sets of experimental kinetic data from the literature regarding the isothermal desolvation of pharmaceutical solvates: (i) tetrahydrofuran solvates of sulfameter, and (ii) methanol solvates of ciclesonide. Our results suggest that from an algorithmic perspective, COMF could become the model-fitting method of choice for ISSRs making the selection of BCM easier and more reliable.

Determination of thermal parameters of thin film materials by thermoreflectance profile analysis and multiparameter 3D model fitting

2018 ◽  
Author(s):  
Elie Badine ◽  
Mathieu Bardoux ◽  
Nadine Abboud ◽  
Michael Depriester ◽  
Stéphane Longuemart ◽  
...  
Keyword(s):  
Thin Film ◽  
3D Model ◽  
Profile Analysis ◽  
Model Fitting ◽  
Thermal Parameters

scholarly journals Determination of Kinetic Parameters for the Thermal Decomposition of Parthenium hysterophorus

2018 ◽  
Vol 22 (1) ◽  
pp. 5-21 ◽  
Author(s):  
Alok Dhaundiyal ◽  
Suraj B. Singh ◽  
Muammel M. Hanon ◽  
Rekha Rawat
Keyword(s):  
Thermal Decomposition ◽  
Kinetic Parameters ◽  
Model Fitting ◽  
Frequency Factor ◽  
Heating Rates ◽  
Model Free ◽  
Higher Temperature ◽  
Good Agreement ◽  
Maximum Weight Loss

Abstract A kinetic study of pyrolysis process of Parthenium hysterophorous is carried out by using thermogravimetric analysis (TGA) equipment. The present study investigates the thermal degradation and determination of the kinetic parameters such as activation E and the frequency factor A using model-free methods given by Flynn Wall and Ozawa (FWO), Kissinger-Akahira-Sonuse (KAS) and Kissinger, and model-fitting (Coats Redfern). The results derived from thermal decomposition process demarcate decomposition of Parthenium hysterophorous among the three main stages, such as dehydration, active and passive pyrolysis. It is shown through DTG thermograms that the increase in the heating rate caused temperature peaks at maximum weight loss rate to shift towards higher temperature regime. The results are compared with Coats Redfern (Integral method) and experimental results have shown that values of kinetic parameters obtained from model-free methods are in good agreement. Whereas the results obtained through Coats Redfern model at different heating rates are not promising, however, the diffusion models provided the good fitting with the experimental data.

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