Any class frequencies which have been or might have been observed within one and the same population are said to be consistent if they conform with one another and do not in any way conflict. For example, the figures (A) = 20, (AB) = 25 are inconsistent as (AB) cannot be great than (A), if they are observed from the sample population.
‘Consistency’ of a set of class frequencies may be defined as the property that none of them is negative, otherwise, the data for class frequencies are said to be ‘inconsistent’.
Since any class frequency can be expressed as the sum of some of the ultimate class frequencies, it is necessarily non-negative if all the ultimate class frequencies are non- negative. This provides a criterion for testing the consistency of the data.
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