Summary
Dey [3] has suggested a spring balance weighing design in preference to “repeated designs”, and later, Kulshreshtha and Dey [5] have suggested yet one more weighing design which, they say, would be preferred to “repeated designs” and to those suggested in [3], provided one is interested in estimating the weights of some of the objects with increased precision at the cost of precision for others. It has been shown here that, while the above findings may be true in some situations, one might, in a given problem, prefer “repeated designs” to those suggested in [3] and [5].
Similar content being viewed by others
References
Banerjee, K. S. (1948). Weighing designs and balanced incomplete blocks,Ann. Math. Statist.,19, 394–399.
Banerjee, K. S. (1949). On certain aspects of spring balance designs,Sankhyã,9, 367–376.
Dey, A. (1969). A note on weighing designs,Ann. Inst. Statist. Math.,21, 343–346.
Hotelling, H. (1944). Some improvements in weighing and other experimental techniques,Ann. Math. Statist.,15, 297–306.
Kulshreshtha, A. C. and Dey, A. (1970). A new weighing design,Austral. J. Statist.,12, 166–168.
Mood, A. M. (1946). On Hotelling's weighing problem,Ann. Math. Statist.,17, 432–446.
Author information
Authors and Affiliations
Additional information
NSF Grant No. GP-28312 and GP-36562.
About this article
Cite this article
Banerjee, K.S. Some observations on repeated spring balance weighing designs. Ann Inst Stat Math 26, 447–454 (1974). https://doi.org/10.1007/BF02479839
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02479839