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Original Research 


Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme

A. Audu, S. A. Abdulazeez, I. Abubakar, Y. M. Ahijjo, A. Gidado and M. A. Yunusa.

Abstract
In sample survey, reliable and efficient estimates are often obtained using information from auxiliary variables during estimation and designing stages. However, there are times when the auxiliary information is attribute-based. Some authors have proposed estimators using auxiliary attribute information when the population mean of auxiliary attribute is unknown. However, the estimators are ratio-based estimators which are less efficient when the bi-serial correlation between the study variable and the auxiliary attribute is negative. In this study, regression approach was used to modify estimator tdZKi to produce estimators that can be used for both negative and positive correlation. In addition, another existing estimator was also modified to produce an estimator that is independent of an unknown population parameter. The Biases and Mean Squared Errors (MSEs) of the modified estimators were determined using the Taylor series approach up to the first order of approximation. The proposed estimators’ efficiency conditions over some existing estimators were established. Empirical investigations were done using stimulation study and the results revealed that proposed estimators have the lowest MSEs and the highest PREs of all the competing estimators and therefore can give better estimates of the population mean. Therefore, it can be concluded that proposed estimators have better predictive power for estimating population mean under two-phase sampling scheme.

Key words: Auxiliary attribute, Bias, Mean square error (MSE), Population mean


 
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How to Cite this Article
Pubmed Style

Audu A, Abdulazeez SA, Abubakar I, Ahijjo YM, . Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nig. J. Basic Appl. Sci.. 2022; 30(2): 45-53. doi:10.4314/njbas.v30i2.6


Web Style

Audu A, Abdulazeez SA, Abubakar I, Ahijjo YM, . Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. https://www.njbas-udus.com/?mno=18816 [Access: February 02, 2023]. doi:10.4314/njbas.v30i2.6


AMA (American Medical Association) Style

Audu A, Abdulazeez SA, Abubakar I, Ahijjo YM, . Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nig. J. Basic Appl. Sci.. 2022; 30(2): 45-53. doi:10.4314/njbas.v30i2.6



Vancouver/ICMJE Style

Audu A, Abdulazeez SA, Abubakar I, Ahijjo YM, . Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nig. J. Basic Appl. Sci.. (2022), [cited February 02, 2023]; 30(2): 45-53. doi:10.4314/njbas.v30i2.6



Harvard Style

Audu, A., Abdulazeez, . S. A., Abubakar, . I., Ahijjo, . Y. M. & (2022) Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nig. J. Basic Appl. Sci., 30 (2), 45-53. doi:10.4314/njbas.v30i2.6



Turabian Style

Audu, A., S. A. Abdulazeez, I. Abubakar, Y. M. Ahijjo, and A. Gidado and M. A. Yunusa. 2022. Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nigerian Journal of Basic and Applied Sciences, 30 (2), 45-53. doi:10.4314/njbas.v30i2.6



Chicago Style

Audu, A., S. A. Abdulazeez, I. Abubakar, Y. M. Ahijjo, and A. Gidado and M. A. Yunusa. "Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme." Nigerian Journal of Basic and Applied Sciences 30 (2022), 45-53. doi:10.4314/njbas.v30i2.6



MLA (The Modern Language Association) Style

Audu, A., S. A. Abdulazeez, I. Abubakar, Y. M. Ahijjo, and A. Gidado and M. A. Yunusa. "Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme." Nigerian Journal of Basic and Applied Sciences 30.2 (2022), 45-53. Print. doi:10.4314/njbas.v30i2.6



APA (American Psychological Association) Style

Audu, A., Abdulazeez, . S. A., Abubakar, . I., Ahijjo, . Y. M. & (2022) Modified Classes of Regression-Type Estimators of Population Mean in the Presence of Auxiliary Attribute under Double Sampling Scheme. Nigerian Journal of Basic and Applied Sciences, 30 (2), 45-53. doi:10.4314/njbas.v30i2.6





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