3.1 Definition and Consistency with Ratio Scaling

According to the Law of Additivity, sensation magnitudes and other subjective magnitudes sum linearly when processed independently up to the stage of summation. The law may be regarded as established for most same-modality sensation magnitudes but not heteromodality ones. Because it may be applied to the generation of functions that relate subjective magnitudes to their underlying stimulus magnitudes, it is often used for proving the Power Law, as is done in Chap. 1. The procedure consists preferentially of presenting two subjectively equal magnitudes and assigning to their sum a numeral that indicates magnitude doubling. For example, if the numeral 1 is assigned to the component magnitudes, the numeral 2 would be assigned to their sum.

The concept of additivity of subjective magnitudes was introduced at least as early as 1920s by communication engineers for the purpose of determining the growth of loudness as a function of tone...


Magnitude Estimation Sound Frequency Tone Burst Pacinian Corpuscle Sensation Magnitude 
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