On the usefulness of knowledge of error variances in the consistent estimation of an unreplicated ultrastructural model

Abstract

This article considers an unreplicated ultrastructural model and discusses the asymptotic properties of three consistent estimators of slope parameter arising from the knowledge of measurement error variances. Conditions are deduced when knowing the error variances associated with both the study and the explanatory variables is more/less beneficial than using a single error variance in the formulation of slope estimators.

^*E-mail: [email protected]

Keywords:

• Measurement errors
• Reliability ratio
• Error variance
• Ultrastructural model

Acknowledgement

The first author acknowledges support from Department of Science & Technology, Govt. of India through BOYSCAST fellowship.

Notes

^*E-mail: [email protected]