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  • “To make the comparisons necessary for evaluating impairment, test-makers generally reports scores as values of a scale based on the raw scores made by a standardization population (the group of individual tested for the purpose of obtaining normative data on the test). The scale that is most meaningful statistically is one derived from the normal probability curved and based on the standard deviation unit. There are a variety of standard scores that are all translations of the same scale, based on the mean and the standard deviation. [...] The z-score is the basic, unelaborated standard score from which all others can be derived. The z-score represents, in standard deviation units, the amount a score deviates from the mean of the population from which the score is drawn. The mean of the normal curve is set at zero and the standard deviation unit has a value of one. Scores are stated in term of their distance from the mean as measured in standard deviation units. Scores above the mean have a positive value; those below the mean are negative. Neuropsychological test data can be handled very appropriately in a z-score format. Elaborations of the z-score are called derived scores. Among the most widely used derived scores are T-scores, which are very popular in educational testing. The T-score has a mean of 50 and a standard deviation of 10.” (Lezak et al., 2004)
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