Model Assisted Statistics and Applications - Volume 8, issue 4

Authors: Sampath, S. | Deepa, S.P.

Article Type: Research Article

Abstract: This paper is meant for identifying the sample sizes and acceptance numbers required for designing double sampling plan applicable for situations involving randomness as well as impreciseness. A genetic algorithm has been suggested to determine the optimal sample sizes and acceptance numbers for specified producer's risk and consumer's risk. Optimal double sampling plans are obtained numerically by implementing the algorithm for different choices of quantities involving triangular fuzzy membership function.

Keywords: Chance distribution, hybrid binomial distribution, double sampling plan, average sample number, average total inspection and genetic algorithm

DOI: 10.3233/MAS-130264

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 265-273, 2013

Authors: Pongsumpun, Puntipa | Tiensuwan, Montip

Article Type: Research Article

Abstract: Dengue is an infectious mosquito-borne viral disease. Dengue or dengue-like epidemics ranks highly among new and newly emerging infectious diseases in public health significance and may affect persons of all ages in dengue endemic area. Dengue virus infections may lead to dengue fever (DF), dengue haemorrhagic fever (DHF) and may lead to hypovolaemic shock (dengue shock syndrome, DSS). The purpose of this study is to identify the associated factors between personal, clinical variables of dengue patients by using log-linear models. Test of independence are used (chi-square and Cramer's V value tests) to find out the association between any two variables. …In addition two- and three-dimensional log-linear models are used to obtain estimated parameters and expected frequencies for these models. Amongst the models fitted, the best are chosen based on the analysis of deviance. The results show that most paired variables of personal and clinical variables are significantly related at p-value less than 0.05. For dengue fever (DF), dengue hemorrhagic fever (DHF) and dengue shock syndrome (DSS) patients, the type of clinic has a strong association with gender, occupation and place of treatment that gave the highest Cramer's V value. In addition, the type of clinic has an association with the status of the last contact. To reduce the outbreak of dengue there should be a control of mosquitoes and for treatment of patients in hospital. Show more

Keywords: Analysis of deviance, dengue fever (DF), dengue haemorrhagic fever (DHF), dengue shock syndrome (DSS), log-linear models, mosquitoes

DOI: 10.3233/MAS-130265

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 275-287, 2013

Authors: Kalaivani, K. | Somasundaram, S.

Article Type: Research Article

Abstract: In software reliability modeling, the model parameters are computed from the test data. By removing the uncertainty of the parameter the uncertainty in the total system reliability can also be underestimated. The reliability of manufactured items often involves performing a life test and examining observed times of failure. The lack of existing failure data from a single test makes modeling difficult. This is overcome by combining entropy principle and Kullback Leibler method. In this paper reliability is tested for Type II censored data by combining Kullback Leibler method and Bayesian method. This paper provides aspects of Kullback Leibler information with …the introduction of Weibull distribution and Bayesian method for computing risk in Type II censoring scheme. Kullback-Leibler determines the decomposition of entropy in censoring schemes using the Weibull distribution. The method involves estimating the posterior distribution of the Kullback-Leibler information. In our paper we are computing the reliability of the system and analyses the risk involved. The relative risks due to each cause of failure are investigated. The risk of the censoring scheme is analyzed. Show more

Keywords: Bayesian, distribution function, goodness-of-fit, Kullback Leibler, reliability, Weibull distribution

DOI: 10.3233/MAS-130266

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 289-299, 2013

Authors: Jambhulkar, Nitiprasad N. | Lal, Krishan

Article Type: Research Article

Abstract: Irregular two-level fractional factorial designs are the plans that can not be specified in terms of defining contrasts. The aliasing properties of irregular fractional factorial plans can be explained by using minimum moment aberration and moment aberration projection criterion. In this paper a method of construction for irregular minimum aberration fractional factorial designs of the type r 2 p ( 2 k ) , where r is a prime number has been given. Also minimum aberration designs have been constructed for r = 3 , …p = 2 and k = 4 , 5 , 6 , 7 ; for r = 3 , p = 3 and k = 5 , 6 , 7 , 8 ; for r = 5 , p = 3 and k = 5 , 6 , 7 , 8 and r = 7 , p = 3 and k = 5 , 6 , 7 , 8 by using the two criteria, viz. minimum moment aberration and moment aberration projection. Show more

Keywords: Defining relations, irregular fractional factorials, minimum moment aberration, moment aberration projection, resolution plans

DOI: 10.3233/MAS-130267

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 301-307, 2013

Authors: Bhowmik, Arpan | Jaggi, Seema | Varghese, Cini | Varghese, Eldho

Article Type: Research Article

Abstract: This paper deals with optimality aspects of complete block designs with interference effects arising from the neighbouring units up to distance 2 (first and second order) from one side. Conditions have been obtained for the block design to be universally optimal for estimating direct and interference effects. Some classes of balanced and strongly balanced complete block designs have been identified to be universally optimal for the estimation of direct effects, first order neighbour effects and second order neighbour effects.

Keywords: Block design, interference, neighbouring units, left circular, strongly balanced

DOI: 10.3233/MAS-130268

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 309-314, 2013

Authors: Iki, Kiyotaka | Ishihara, Takuma | Tomizawa, Sadao

Article Type: Research Article

Abstract: For the analysis of square contingency tables with the same row and column ordinal classifications, this article proposes a new model, which may be appropriate for a square ordinal table if it is reasonable to assume an underlying bivariate t-distribution with equal marginal variances having any degrees of freedom. The proposed model indicates that the difference between the symmetric two probabilities raised to the power is proportional to the distance from the main diagonal of the table. The model is an extension of the symmetry model. An example is given. The simulation studies based on bivariate t-distribution are given.

Keywords: Bivariate t-distribution, normal distribution, square contingency table, symmetry, underlying distribution

DOI: 10.3233/MAS-130269

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 315-319, 2013

Authors: Sakate, D.M. | Kashid, D.N.

Article Type: Research Article

Abstract: In this article, we propose a model selection criterion based on the cumulative distribution function (CDF) of response variable called distribution function based criterion (DFC). The DFC is obtained by penalizing the scaled squared difference between CDFs of candidate model and full model. Under certain weak conditions, DFC is shown to be a consistent model selection criterion. We also discuss the use of DFC for link function selection. An extensive simulation study is performed to compare the performance of DFC with the existing methods.

Keywords: GLM, model selection, consistency, cumulative distribution function

DOI: 10.3233/MAS-130270

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 321-332, 2013

Authors: Singh, Sarjinder

Article Type: Editorial

DOI: 10.3233/MAS-130272

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 333-336, 2013

Article Type: Editorial

DOI: 10.3233/MAS-130271

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 337-338, 2013

Article Type: Other

DOI: 10.3233/MAS-2013-8410

Citation: Model Assisted Statistics and Applications, vol. 8, no. 4, pp. 339-341, 2013