scholarly journals Origin and Evolution of Conceptual Differences Between Two Measurement Theories

Author(s):  
Huisheng Shi ◽  
Xiaoming Ye ◽  
Cheng Xing ◽  
Shijun Ding

In several published literatures, some new measurement concepts have been proposed to reinterpret measurement theory, which leads to a new interpretation method of measurement theory. By directly comparing the measurement concept differences between the new theory and the traditional theory, this paper reveals that the root of these differences is due to the different understanding of the mathematical concept of random variable, and clarifies the evolution process of other conceptual differences. Also, by reviewing the mathematical concept, it points out that the traditional theory has been gone astray, and the concept of error classification is actually the product of going astray, while the new concept theory should get active attention and research.

2018 ◽  
Vol 8 (4) ◽  
pp. 61 ◽  
Author(s):  
Vanessa Yanes-Estévez ◽  
Ana García-Pérez ◽  
Juan Oreja-Rodríguez

This paper analyses the strategic behaviour of small and medium-sized enterprises (SMEs) and identifies the entrepreneurial, technological, and administrative problems of the Miles and Snow typology (1978). This typology is applied to a sample of SMEs in the Canary Islands (Spain) by using a multi-item questionnaire. Then, the Rasch Measurement Theory is applied to obtain the results, with the linear continuum as a key tool. By applying the Rasch Measurement, there is a coherency between the data treatment and the new interpretation of the Miles and Snow typology (1978), which lists 4 types that are close to trends than to pure types (for example, Sollosy 2013). There are differences between the administrative and the technological problems, with their technological approach being more prospector and their administrative one, which is more defender. This shows an almost absence of enterprises with purely defender or prospector behaviours. These results show that SMEs do not follow any comprehensive framework in order to develop their strategies. Managers should analyse their strategic situation and consider the alignment of the three problems.


2019 ◽  
Vol 17 (2) ◽  
pp. 147-167
Author(s):  
Mohammad Ali Tabataba’i ◽  
Maryam Velayati

Abstract Reuven Firestone in his works on the concept of holy war in Islam has criticized the traditional resolution for the problem of disparity between the Qurʾānic verses on war and suggested a new interpretation of the relationship between the verses. This paper aims to reevaluate Firestone’s contribution by taking a closer look at his critique of the traditional theory as well as his alternative suggestion. This study shows that what Firestone attributes to the Muslim tradition is a mistaken projection of some modern views onto the early authorities. The ambivalent stance of Firestone towards the historicity of the early Muslim literature results in a loose hypothesis regarding the formation of the Qurʾānic verses on war which neither meets the traditional specifications, nor satisfies the criteria of the skeptic party of Islamicists.


2021 ◽  
Author(s):  
Ye Xiaoming ◽  
Ding Shijun ◽  
Liu Haibo

Abstract In the traditional measurement theory, precision is defined as the dispersion of measured value, and is used as the basis of weights calculation in the adjustment of measurement data with different qualities, which leads to the trouble that trueness is completely ignored in the weight allocation. In this paper, following the pure concepts of probability theory, the measured value (observed value) is regarded as a constant, the error as a random variable, and the variance is the dispersion of all possible values of an unknown error. Thus, a rigorous formula for weights calculation and variance propagation is derived, which solves the theoretical problem of determining the weight values in the adjustment of multi-channel observation data with different qualities. The results show that the optimal weights are not only determined by the covariance array of observation errors, but also related to the model of adjustment.


2022 ◽  
Author(s):  
Ye Xiaoming ◽  
Ding Shijun ◽  
Liu Haibo

Abstract In the traditional measurement theory, precision is defined as the dispersion of measured value, and is used as the basis of weights calculation in the adjustment of measurement data with different qualities, which leads to the trouble that trueness is completely ignored in the weight allocation. In this paper, following the pure concepts of probability theory, the measured value (observed value) is regarded as a constant, the error as a random variable, and the variance is the dispersion of all possible values of an unknown error. Thus, a rigorous formula for weights calculation and variance propagation is derived, which solves the theoretical trouble of determining the weight values in the adjustment of multi-channel observation data with different qualities. The results show that the optimal weights are not only determined by the covariance array of observation errors, but also related to the model of adjustment.


2021 ◽  
Author(s):  
Ye Xiaoming ◽  
Ding Shijun ◽  
Liu Haibo

Abstract In the traditional measurement theory, precision is defined as the dispersion of measured value, and is used as the basis of weights calculation in the adjustment of measurement data with different qualities, which leads to the trouble that trueness is completely ignored in the weight allocation. In this paper, following the pure concepts of probability theory, the measured value (observed value) is regarded as a constant, the error as a random variable, and the variance is the dispersion of all possible values of an unknown error. Thus, a rigorous formula for weights calculation and variance propagation is derived, which solves the theoretical trouble of determining the weight values in the adjustment of multi-channel observation data with different qualities. The results show that the optimal weights are not only determined by the covariance array of observation errors, but also related to the model of adjustment.


2021 ◽  
Author(s):  
Ye Xiaoming ◽  
Ding Shijun

Abstract In the traditional measurement theory, precision is defined as the dispersion of measured value, and is used as the basis of weights calculation in the adjustment of measurement data with different qualities, which leads to the trouble that trueness is completely ignored in the weight allocation. In this paper, following the concepts of pure probability theory, the measured value (observed value) is regarded as a constant, the error as a random variable, and the variance is interpreted as the dispersion of all possible values of the error. Thus, a rigorous formula for weights calculation and variance propagation is derived, which solves the theoretical problem of determining the weight values in the adjustment of multi-channel observation data with different qualities.


2021 ◽  
pp. 1-11
Author(s):  
Bruce A. McArthur ◽  
Anthony W. Isenor

Abstract This paper examines a new interpretation for spatial mutual information based on the mutual information between an attribute value and a spatial random variable. This new interpretation permits the measurement of variations in spatial mutual information over the domain, not only answering the question of whether a spatial dependency exists and the strength of that dependency, but also allowing the identification of where such dependencies exist. Using simulated and real vessel reporting data, the properties of this new interpretation of spatial mutual information are explored. The utility of the technique in detecting spatial boundaries between regions of data having different statistical properties is examined. The technique is shown to successfully identify vessel traffic boundaries, crossing points between traffic lanes, and transitions between regions having differing vessel movement patterns.


1984 ◽  
Vol 102 (1-4) ◽  
pp. 85-104 ◽  
Author(s):  
Thomas W.C. Hilde ◽  
Lee Chao-Shing

Author(s):  
Charmaine Scrimnger-Christian ◽  
S. Wedzerai Musvoto

The purpose of this study is to discuss a possible way forward in accounting measurement. It also highlights the importance of understanding the lack of appreciation given by the accounting researchers to the distinction between representation measurement theory and the axioms of quantity on which the classical theory of measurement is based. For long, research in measurement theory has classified representational measurement as nothing but applications of the axioms of quantity. It was believed that there is in existence a single approach to measurement theory. However, recent studies in measurement theory have shown that there are two sides to measurement theory; one side at the interface with experimental science which is emphasized in representational measurement and the other side at the interface with quantitative theory which is emphasized in the classical measurement theory. Research in accounting measurement has concentrated on establishing a representational based accounting measurement theory. This has been done under the premise that no measurement theory exists in the discipline. Thus, this viewpoint neglects the concepts of classical measurement theory that already exists in the accounting discipline. Moreover, this created misunderstandings in accounting with regard to whether a theory of measurement exists in the discipline. This study highlights that the accounting concept of measurement was conceived under the principles of the classical measurement theory. Therefore this reason, it is suggested that research and improvements to the accounting measurement concept should be made in the light of the already existing principles of the classical theory of measurement in which the accounting concept of measurement was conceived.


2013 ◽  
Vol 41 (2/3) ◽  
pp. 241-265 ◽  
Author(s):  
Peeter Torop

The Estonian film The Last Relic offers an interesting case of ideological intersemiotic translation. At the same time, it is an innovative film from the point of view of text composition as well as combination of traditional montage with intersemiotic montage in which the speech of the heroes, the messages of the songs and repetition of visual and musical motifs are juxtaposed to create historical and ideological ambiguity. The specificity of this film is very close to later tendencies in using montage: the movement from a temporal understanding of montage to spatial montage in contemporary new media and 3D-movies. A new understanding of montage is also fruitful for the new interpretation of the chronotopical structure of narrative texts. The traditional theory of montage is rooted in classical literature, while new media experience opens up new possibilities for understanding mechanisms of montage. On a very general level, contemporary tendencies of montage can be analysed as chronotopical montage.


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