Far East Journal of Theoretical Statistics

The Far East Journal of Theoretical Statistics publishes original research papers and survey articles in the field of theoretical statistics, covering topics such as Bayesian analysis, multivariate analysis, and stochastic processes.

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A BAYESIAN APPROACH FOR ESTIMATION OF PARAMETERS AND MISSING VALUES IN FACTORIAL EXPERIMENTAL DESIGNS

Authors

  • R. Ajantha

Keywords:

factorial experimental design, missing values, Bayesian approach, parameter estimation.

DOI:

https://doi.org/10.17654/0972086323010

Abstract

Factorial experimental designs have been widely used in many industrial areas. This paper presents a Bayesian approach for missing data estimation for the analysis of a factorial experiment. The proposed methodology could be alternative to commonly used statistical approaches in that it features both the easy implementation and the learning capability of Bayesian approach.

Received: February 23, 2023
Accepted: April 22, 2023

References

R. Ajantha and N. Ch. Bhatra Charyulu, Bayesian approach for the estimation of missing responses in randomized block design, Thail. Stat. 20(1) (2022), 227-232.

N. Draper and D. Stoneman, Estimating missing values in un-replicated two-level factorial and fractional factorial designs, Biometrics 20 (1964), 443-458.

C. H. Goulden, Methods of Statistical Analysis, 2nd ed., Wiley, New York, Vol. 318, 1952.

W. G. Cochran and G. M. Cox, Experimental Designs, Wiley, New York, Vol. 202, 1950.

T. W. Anderson, Maximum likelihood estimates for the multivariate normal distribution when some observations are missing, J. Amer. Statist. Assoc. 52 (1957), 200-203.

C. K. Enders, Applied Missing Data Analysis, Guilford Press, NY, 2010.

Published

2023-06-16

Issue

Section

Articles

How to Cite

A BAYESIAN APPROACH FOR ESTIMATION OF PARAMETERS AND MISSING VALUES IN FACTORIAL EXPERIMENTAL DESIGNS. (2023). Far East Journal of Theoretical Statistics , 67(2), 199-209. https://doi.org/10.17654/0972086323010

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