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Optimum Biased Spring Balance Weighing Designs Under Equal Correlations of Errors
Author(s) -
Ceranka B.,
Katulska K.
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320806
Subject(s) - balance (ability) , mathematics , spring (device) , statistics , variance (accounting) , upper and lower bounds , design matrix , linear regression , mathematical analysis , engineering , economics , medicine , accounting , physical medicine and rehabilitation , mechanical engineering
Abstract The paper deals with the problem of estimating the individual weights of objects under a biased spring balance weighing design with equal correlations of errors in the model. A lower bound for the variance of each of the estimated weights resulting from this biased spring balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrix of a BIB design has been used to construct optimum biased spring balance weighing designs.