American Journal of Theoretical and Applied Statistics

Volume 3, Issue 2, March 2014

  • Comparison of Parametric and Nonparametric Item Response Techniques in Determining Differential Item Functioning in Polytomous Scale

    T. Oguz Basokcu, Tuncay Ogretmen

    Issue: Volume 3, Issue 2, March 2014
    Pages: 31-38
    Received: 31 December 2013
    Published: 20 March 2014
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    Abstract: This study aims to compare parametric and nonparametric methods based on Item Response Theory in determining differential item functioning in polytomous scales. DIF analysis based on parametric IRT was conducted by using parameters comparison method. For nonparametric IRT analysis, DIF is determined by comparison of area indices pertaining to ICC o... Show More
  • Markov Chain Model and Its Application to Annual Rainfall Distribution for Crop Production

    Abubakar Usman Yusuf, Lawal Adamu, Muhammed Abdullahi

    Issue: Volume 3, Issue 2, March 2014
    Pages: 39-43
    Received: 30 December 2013
    Published: 20 March 2014
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    Abstract: A stochastic process with a first order dependence in discrete state and time is described as Markov chain. This principle was used to formulate a four state model for annual rainfall distribution in Minna with respect to crop production. The model is designed such that if given any of the four state in a given year, it is possible to determine qua... Show More
  • Direct and Indirect Effects in Dummy Variable Regression

    Oyeka I. C. A., Nwankwo Chike H.

    Issue: Volume 3, Issue 2, March 2014
    Pages: 44-48
    Received: 3 December 2013
    Published: 20 February 2014
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    Abstract: This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordin... Show More
  • Logit Models for Household Food Insecurity Classification

    Abraham Yeyo Owino, Leonard Kiboijana Atuhaire, Ronald Wesonga, Fabian Nabugoomu, Elijah Muwanga-Zaake

    Issue: Volume 3, Issue 2, March 2014
    Pages: 49-54
    Received: 20 March 2014
    Accepted: 22 April 2014
    Published: 30 April 2014
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    Abstract: Micro-level measurement of food insecurity is a necessary approach towards a more feasible solution to the global problem for proper classification of households by food insecurity status. Measurement of food insecurity is a challenge because it is a multi-faceted latent and continuous phenomenon explained by a wide range of both quantitative and q... Show More
  • On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions

    Muhammad Daniyal, Muhammad Aleem, Tahir Nawaz

    Issue: Volume 3, Issue 2, March 2014
    Pages: 55-59
    Received: 21 February 2014
    Accepted: 29 April 2014
    Published: 30 April 2014
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    Abstract: Limited work has been conducted on the doubly truncation for the mixture of different distributions. This paper is concerned with the doubly truncated mixture of Burr XII and Weibull distributions. In this paper, classical properties of the doubly truncated mixture of Burr XII and Weibull distributions have been derived. Cumulative distribution fun... Show More