Abstract
This paper presents an iterative formula for obtaining the limit X_<ij> of normal integral p_<ij>=∫^∞_x_<ij> f(t)dt when a probability p_<ij> is given. In order to generate interval scales by paired comparison judgements, the legitimate use of Thurstone-Mosteller model requires the transformation of p_<ij> to X_<ij> where p_<ij> is the probability that stimulus i exceeds stimulus j. Formerly it has been a laborious and tedious task to make the transformation from the table of stndard normal distribution. Since the iterative formula is easy to use and eliminates the numerical disadvantage, the computational procedure to establish the interval scale has fairly been simplified.
