Modeling and evaluating the distribution of the output quantity in measurement models with copula dependent input quantities

Author(s):  
Viktor Witkovský ◽  
Gejza Wimmer ◽  
Zuzana Ďurišová ◽  
Stanislav Ďuriš ◽  
Rudolf Palenčár ◽  
...  
ACTA IMEKO ◽  
2016 ◽  
Vol 5 (3) ◽  
pp. 32 ◽  
Author(s):  
Viktor Witkovsky

<p><span>Measurement uncertainty analysis based on combining the state-of-knowledge distributions requires evaluation of the probability density function (PDF), the cumulative distribution function (CDF), and/or the quantile function (QF) of a random variable reasonably associated with the measurand. This can be derived from the characteristic function (CF), which is defined as a Fourier transform of its probability distribution function. Working with CFs provides an alternative and frequently much simpler route than working directly with PDFs and/or CDFs. In particular, derivation of the CF of a weighted sum of independent random variables is a simple and trivial task. However, the analytical derivation of the PDF and/or CDF by using the inverse Fourier transform is available only in special cases. Thus, in most practical situations, a numerical derivation of the PDF/CDF from the CF is an indispensable tool. In metrological applications, such approach can be used to form the probability distribution for the output quantity of a measurement model of additive, linear or generalized linear form. In this paper we propose new original algorithmic implementations of methods for numerical inversion of the characteristic function which are especially suitable for typical metrological applications. The suggested numerical approaches are based on the Gil-Pelaez inverse formulae and on using the approximation by discrete Fourier transform and the fast Fourier transform (FFT) algorithm for computing PDF/CDF of the univariate continuous random variables. As illustrated here, for typical metrological applications based on linear measurement models the suggested methods are an efficient alternative to the standard Monte Carlo methods.</span></p>


2009 ◽  
Vol 25 (2) ◽  
pp. 73-82 ◽  
Author(s):  
Frank Goldhammer ◽  
Helfried Moosbrugger ◽  
Sabine A. Krawietz

The Frankfurt Adaptive Concentration Test (FACT-2) requires discrimination between geometric target and nontarget items as quickly and accurately as possible. Three forms of the FACT-2 were constructed, namely FACT-I, FACT-S, and FACT-SR. The aim of the present study was to investigate the convergent validity of the FACT-SR with self-reported cognitive failures. The FACT-SR and the Cognitive Failures Questionnaire (CFQ) were completed by 191 participants. The measurement models confirmed the concentration performance, concentration accuracy, and concentration homogeneity dimensions of FACT-SR. The four dimensions of the CFQ (i.e., memory, distractibility, blunders, and names) were not confirmed. The results showed moderate convergent validity of concentration performance, concentration accuracy, and concentration homogeneity with two CFQ dimensions, namely memory and distractibility/blunders.


Methodology ◽  
2014 ◽  
Vol 10 (4) ◽  
pp. 138-152 ◽  
Author(s):  
Hsien-Yuan Hsu ◽  
Susan Troncoso Skidmore ◽  
Yan Li ◽  
Bruce Thompson

The purpose of the present paper was to evaluate the effect of constraining near-zero parameter cross-loadings to zero in the measurement component of a structural equation model. A Monte Carlo 3 × 5 × 2 simulation design was conducted (i.e., sample sizes of 200, 600, and 1,000; parameter cross-loadings of 0.07, 0.10, 0.13, 0.16, and 0.19 misspecified to be zero; and parameter path coefficients in the structural model of either 0.50 or 0.70). Results indicated that factor pattern coefficients and factor covariances were overestimated in measurement models when near-zero parameter cross-loadings constrained to zero were higher than 0.13 in the population. Moreover, the path coefficients between factors were misestimated when the near-zero parameter cross-loadings constrained to zero were noteworthy. Our results add to the literature detailing the importance of testing individual model specification decisions, and not simply evaluating omnibus model fit statistics.


1970 ◽  
Vol 15 (6) ◽  
pp. 402, 404-405
Author(s):  
ROBERT E. DEAR

Author(s):  
Eman Al-erqi ◽  
◽  
Mohd Lizam Mohd Diah ◽  
Najmaddin Abo Mosali ◽  
◽  
...  

This study seeks to address the impact of service quality affecting international student's satisfaction towards loyalty tothe Universiti Tun Hussein Onn Malaysia(UTHM). The aim of thestudy is to develop relationship between service quality factor and loyalty to the university from the international students’ perspectives. The study adopted quantitative approach where data was collected through questionnaire survey and analysed statistically. A total of 246 responses were received and found to be valid. The model was developed and analysed using AMOS-SEM software. Confirmatory factor analysis (CFA) function of the software was to assessed the measurement models and found that all the models achieved goodness of fit. Then path analysis function was used to assessed structural model and found that service qualityfactors have a significant effect on the students’ satisfaction and thus affecting the loyaltyto the university. Hopefully the outcome form this study will benefit the university in providing services especially to the international students.


2020 ◽  
Author(s):  
Matthew Philip Kaesler ◽  
John C Dunn ◽  
Keith Ransom ◽  
Carolyn Semmler

The debate regarding the best way to test and measure eyewitness memory has dominated the eyewitness literature for more than thirty years. We argue that to resolve this debate requires the development and application of appropriate measurement models. In this study we develop models of simultaneous and sequential lineup presentations and use these to compare the procedures in terms of discriminability and response bias. We tested a key prediction of the diagnostic feature detection hypothesis that discriminability should be greater for simultaneous than sequential lineups. We fit the models to the corpus of studies originally described by Palmer and Brewer (2012, Law and Human Behavior, 36(3), 247-255) and to data from a new experiment. The results of both investigations showed that discriminability did not differ between the two procedures, while responses were more conservative for sequential presentation compared to simultaneous presentation. We conclude that the two procedures do not differ in the efficiency with which they allow eyewitness memory to be expressed. We discuss the implications of this for the diagnostic feature detection hypothesis and other sequential lineup procedures used in current jurisdictions.


2018 ◽  
Vol 28 (5) ◽  
pp. 1685-1688
Author(s):  
Sherif Sejdiu

The tourism industry is sensitive to global and regional political, economic and social events and phenomena, and has also demonstrated a strong response force and speed to regain the path of positive growth despite the not favorable state of the world economy and indicators the moderate development that it has performed, as well as the uncertainty highlighted in the demand in general and tourism in particular because of the low level of demand for this product category. In any marketing strategy that has four components of mix marketing: product, pricing, distribution, and promotion are needed, as they play a useful role, though they do not have the same weight. Some of these elements and, in some cases, only one of them has a determining role in comparison to competitors and, consequently, are the key factor to succeed. The role of the product, a better price, the sales force or the distribution network more efficiently than the competitors, the promotion policy, etc. may be the role. Distribution includes all possibilities, ways, and methods for dispersing products across market segments, locations to direct customer contact. Distribution is one of the mixing marketing elements. It has direct links to product policy, pricing and promotion policy. For the successful realization of the marketing strategy it is important to supply customers with certain products. Likewise, these products should be available in a certain amount, in certain places, and at the time when the consumer so requests. In surveys of demand measurement in the tourism and travel industry, the use of some basic indicators is noted. Although the independent variables involved in tourism demand measurement models vary greatly according to the objectives and the field of specialization and research of researchers, the use of some basic indicators as a measure of tourist demand variables in its modeling and forecast makes it possible standardization of data and their unified reporting at the global and local level. The variation of tourist achievement is the most used for measuring tourism demand at least in the last twenty years. Specifically, this variable is measured by the total tourist achievement from a source to a destination, which can further be disrupted in tourist achievements for holiday purposes, business travel achievements, tourist achievements for family and friends visits, tourist achievements by means of travel, such as air, sea, road and so on. Some studies also use destination spending as a demand-measurement variable, while other researchers are even more rigorous using tourist spending for specific categories and certain products and purchases in general. Other indicators used are tourism income, employment in the tourism and travel industry, as well as exports and imports.


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