Let X ,..., Xn 1 be a random sample from a distribution with sample mean X and sample variance S 2. In this paper we consider certain very general properties of the so-called “Z-scores” X X S i n i ( − )/ : = 1,...., . A representation theorem is then given for Z-scores obtained from an underlying normal population, together with a theorem for their limiting distribution as the sample size tends to infinity. Finally, two applications involving grading and testing for an outlier are presented.
BEHBOODIAN, J. and ASGHARZADEH, A. (2008). ON THE DISTRIBUTION OF Z-SCORES. Iranian Journal of Science, 32(1), 71-78. doi: 10.22099/ijsts.2008.2245
MLA
BEHBOODIAN, J. , and ASGHARZADEH, A. . "ON THE DISTRIBUTION OF Z-SCORES", Iranian Journal of Science, 32, 1, 2008, 71-78. doi: 10.22099/ijsts.2008.2245
HARVARD
BEHBOODIAN, J., ASGHARZADEH, A. (2008). 'ON THE DISTRIBUTION OF Z-SCORES', Iranian Journal of Science, 32(1), pp. 71-78. doi: 10.22099/ijsts.2008.2245
CHICAGO
J. BEHBOODIAN and A. ASGHARZADEH, "ON THE DISTRIBUTION OF Z-SCORES," Iranian Journal of Science, 32 1 (2008): 71-78, doi: 10.22099/ijsts.2008.2245
VANCOUVER
BEHBOODIAN, J., ASGHARZADEH, A. ON THE DISTRIBUTION OF Z-SCORES. Iranian Journal of Science, 2008; 32(1): 71-78. doi: 10.22099/ijsts.2008.2245
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