RP-Department of Mathematics

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Browsing RP-Department of Mathematics by Subject "Bi-Serial Correlation Coefficient"

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    Mixture Regression Estimators Using Multi-Auxiliary Variables and Attributes in Two-Phase Sampling
    (Scientific Research Publishing, 2014) Kung’u, John; Chumba, Grace; Odongo, Leo
    In this paper, we have developed estimators of finite population mean using Mixture Regression estimators using multi-auxiliary variables and attributes in two-phase sampling and investigated its finite sample properties in full, partial and no information cases. An empirical study using natural data is given to compare the performance of the proposed estimators with the existing estimators that utilizes either auxiliary variables or attributes or both for finite population mean. The Mixture Regression estimators in full information case using multiple auxiliary variables and attributes are more efficient than mean per unit, Regression estimator using one auxiliary variable or attribute, Regression estimator using multiple auxiliary variable or attributes and Mixture Regression estimators in both partial and no information case in two-phase sampling. A Mixture Regression estimator in partial information case is more efficient than Mixture Regression estimators in no information case.
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    Ratio-Cum-Product Estimator using Multiple Auxiliary Attributes in Single Phase Sampling
    (Scientific Research Publishing, 2014-06) Kung’u, John; Odongo, Leo
    In this paper, we have proposed a class of ratio-cum-product estimator for estimating population mean of study variable for single phase sampling using multi-auxiliary attributes. The expressions for mean square error are derived. An empirical study is given to compare the performance of the estimator with existing estimators. It has been found that the ratio-cum-product estimator using multiple auxiliary attributes is more efficient than mean per unit, product and ratio estimators using one auxiliary attribute, and Product and Ratio estimators using multiple auxiliary attributes in single phase sampling. Keywords: Ratio-Cum-Product Estimator, Multiple Auxiliary Attributes, Single Phase Sampling, Bi-Serial Correlation Coefficient