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American Journal of Theoretical and Applied Statistics

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Volume 6, Issue 5, September 2017

  • Estimating the Context Effect in a Multilevel Latent Model with Small Sample Sizes: A Monte Carlo Simulation Study

    Miao Gao

    Issue: Volume 6, Issue 5, September 2017
    Pages: 221-227
    Received: 3 August 2017
    Accepted: 11 August 2017
    Published: 4 September 2017
    DOI: 10.11648/j.ajtas.20170605.11
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    Abstract: In multilevel modeling, the relationships between the criterion and predictors are investigated at different levels. Often, the cluster-level predictors are measured by aggregating the individual-level measures. However, the aggregated cluster-level predictors do not always reliably measure the cluster-level regression coefficient, and therefore th... Show More
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  • Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach

    Ogunde Adebisi Ade, Fatoki Olayode, Ajayi Bamidele

    Issue: Volume 6, Issue 5, September 2017
    Pages: 228-235
    Received: 22 April 2017
    Accepted: 2 May 2017
    Published: 4 September 2017
    DOI: 10.11648/j.ajtas.20170605.12
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    Abstract: We developed a five parameter distribution known as the Generalized Exponentiated Gompertz Makeham distribution which is quite flexible and can have a decreasing, increasing and bathtub-shaped failure rate function depending on its parameters making it more effective in modeling survival data and reliability problems. Some comprehensive properties ... Show More
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  • Using the Second Order Kronecker Model in Simplex –Centroid Design in Formulating Optimum Dairy Feed

    Robert Muriungi Gitunga, Joseph Kipsigei Koske, Johnstonne Mutiso Muindi

    Issue: Volume 6, Issue 5, September 2017
    Pages: 236-247
    Received: 18 March 2017
    Accepted: 8 April 2017
    Published: 8 September 2017
    DOI: 10.11648/j.ajtas.20170605.13
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    Abstract: The Second order kronecker model for simplex-centroid design was fitted where data was for feed supplements blend using a mixture of soya beans, maize jam, cotton seed and fish meal guided by design points in the simplex-centroid design and the respose was the yield of milk in litres. The main objective was to fit a Kronecker model in the simplex-c... Show More
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  • Exploration Analysis of Some Panel Data Estimators in the Presence of One-Sided Exponential Heteroscedasticity Structure

    Ayoola Femi Joshua

    Issue: Volume 6, Issue 5, September 2017
    Pages: 248-253
    Received: 18 May 2017
    Accepted: 12 June 2017
    Published: 18 September 2017
    DOI: 10.11648/j.ajtas.20170605.14
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    Abstract: This paper aimed at assessing the performance of some estimators in the presence of one-sided exponential heteroscedasticity structure in panel model estimation. This study employs Monte Carlo experiments to evaluate the performances. It focuses on random effects models with 150 and 300 as cross-sectional units (N) and 10 and 20 as time periods (T)... Show More
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