ABSTRACT
Proponents of the measurement-directed position, who will be referred to in the sequel as "measurement-directeds," hold that statistical techniques are directed by measurement considerations. Proponents of the measurement-independent position, referred to in the sequel as "measurement-independents," hold that measurement and statistics are separate, independent domains and that therefore measurement considerations do not influence statistical techniques. The measurement model for physical length or for physical weight is a system of ten or so axioms and the theorems which can be derived from them. The philosophical origins of the measurement-directed view seem to be Platonic. Much of the writing of the measurement-directed school can be understood on the basis of the following hypothesis, namely there exists a Platonic world of real lengths and real temperatures. The origins of the measurement-independent position are also partly in statistics. The picture of statistics which characterizes the measurement-directed position makes statistics directly dependent upon measurement.
