A Study of Women Delinquents in New York State
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... nd the correlation of ranik in the total examination with marks in arithmetic. There resulted Pad =-.8805* whence we deduce r"'..d= 901. All four correlations rbd, r'bd, r"bd and r"'.bd differ by less than 01, or less than half the probable error of rbd. The differences therefore have Ino significance, or the values are interchangeable. Equally clearly r"bd and r"'bd are as stated above substantially equal which involves the equiality Of Pbc and Pad to the same degree as stated above. Lastly I correlated total marks with rank in total examination and found Pab = -9739. Multiplying this by 1P023,278 we have T'bb = 997, which is as near the desired result of perfect correlation as we can expect to get on the assumption of a normal distribution of the variate. As far therefore as this isolated examnple is concerned the method appears to be satisfactory. The results reached in both our illustrations suggest that the correlation of rank and variate for the samiie character may be of considerable value for control purposes in dealing with examination results.