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Research ArticleOpen accessEvery word in the titleMeasure of Departure from Conditional Partial Symmetry for Square Contingency TablesYusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, Sadao TomizawaFor square contingency tables, asymmetry of conditional probability in part of the off-diagonal cells isconsidered with respect to the main diagonal. A measure is proposed torepresent the degree of departure from the symmetric structure and gives theapproximate confidence interval. Some numerical experiments are performed toillustrate the validity and usefulness of the proposed measure. Japaneseoccupational data are analyzed using the measure. …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 4 Oct 2022 · 5,561 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGeometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered CategoriesTomoyuki Nakagawa, Toshiki Takei, Aki Ishii, Sadao TomizawaFor square contingency tables, some studies have developed the weighted arithmetic mean type measure to represent the degree of departure from the marginal homogeneity. The present paper proposes (1) the cumulative partial marginal homogeneity model which has the weaker restriction than the marginal homogeneity model and (2) the measure to represent the degree of departure from the proposed model. The … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 11 Aug 2020 · 6,620 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleMeasure of Departure from Partial Symmetry for Square Contingency TablesYusuke Saigusa, Kouji Tahata, Sadao TomizawaFor square contingency tables, the present paper newly considers the partial symmetry model which indicates that there is a symmetric structure of probabilities for at least one of pairs of symmetric cells. It also proposes the measure to express the degree of departure from the partial symmetry model. Examples are given. …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 9 Aug 2016 · 7,416 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSELECTING PERFECT INTERESTINGNESS MEASURES BY COEFFICIENT OF VARIATION BASED RANKING ALGORITHMK. Selvarangam, K. Ramesh KumarRanking interestingness measure is an active and essential research domain in the process of knowledge discovery from the extracted rules. Since various measures proposed by many researchers in various situations increases the list of measures and these are not able to use as a common measures to evaluate the rules, knowledge finders are not able to identify a perfect measure … …Journal of Computer Science, Vol. 10, Issue 9 · 17 Apr 2014 · 6,404 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Measure of Monotonicity of two Random VariablesFarida Kachapova, Ilias KachapovProblem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure general or linear dependence of random variables. Developing a measure of monotonicity was useful for practical applications as well as for general theory, since monotonicity was an important type … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 26 May 2012 · 8,692 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Efficiency Measurement of Parallel Production Systems: A Non-radial Data Envelopment Analysis ModelAli Ashrafi, Azmi Bin Jaafar, Mohd Rizam Abu Bakar, Lai Soon LeeProblem statement: Data Envelopment Analysis (DEA) is a non-parametric technique for measuring the relative efficiency of a set of production systems or Decision Making Units (DMU) that have multiple inputs and outputs. Sometimes, DMUs have a parallel structure, in which systems composed of parallel units work individually; the sum of their own inputs/outputs is the input/output of the system. For … …Journal of Computer Science, Vol. 7, Issue 5 · 7 May 2011 · 9,253 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Enhanced Russell Measure of Super-Efficiency for Ranking Efficient Units in Data Envelopment AnalysisAli Ashrafi, Azmi Bin Jaafar, Lai Soon Lee, Mohd Rizam Abu BakarProblem statement: Conventional Data Envelopment Analysis (DEA) helps decision makers to discriminate between efficient and inefficient Decision Making Units (DMUs). However, DEA does not provide more information about the efficient DMUs. Super-efficiency DEA model can be used in ranking the performance of efficient DMUs. Because of the possible infeasibility of radial super-efficiency DEA model, the ranking has been limited to … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 8,798 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEfficiency Decomposition with Enhancing Russell Measure in Data Envelopment AnalysisTien-Hui Chen, Chiao-Pin Bao, Chi-Ming Huang, I-Chiang WangProblem statement: Most studies about the application of Data Envelopment Analysis (DEA) follow the concept of radial and non-radial efficiency measures. Because of some difficulties with the measure of weights, Russell measure utilizes the mean of all input/output efficiency measurements as the efficiency score of a specific business unit. However, this may render bias. Approach: This study provided a reasonable … …American Journal of Applied Sciences, Vol. 7, Issue 3 · 31 Mar 2010 · 7,051 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleStochastic Optimization for Portfolio Selection Problem with Mean Absolute Negative Deviation MeasureAnton Abdulbasah Kamil, Adli Mustafa, Khlipah IbrahimProblem statement: The most important character within optimization problem is the uncertainty of the future returns. Approach: To handle such problems, we utilized probabilistic methods alongside with optimization techniques. We developed single stage and two stage stochastic programming with recourse. The models were developed for risk adverse investors and the objective of the stochastic programming models is to minimize the … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,947 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Calculating the Hougaard Measure of Skewness in a Nonlinear Regression Model with Two ParametersS. A. EL-ShehawyProblem statement: This study presented an alternative computational algorithm for determining the values of the Hougaard measure of skewness as a nonlinearity measure in a Nonlinear Regression model (NLR-model) with two parameters. Approach: These values indicated a degree of a nonlinear behavior in the estimator of the parameter in a NLR-model. Results: We applied the suggested algorithm on an example … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,159 accessesView PDFCite