PSYC 3250 Lecture Notes - Percentile Rank, Linear Map, Percentile

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Raw scores, which represent simple counts of the behaviours sampled by the test or measuring procedure, do not always provide useful information. It is often necessary to re-express, or transform, raw scores into some more informative scale. Scale - the set of scores that might be reported for a test. Scales are very often transformations of the original raw scores. The simplest transformation is one that expresses scores in terms of percentage rather than raw units. Transformed score = constant + (weight x raw score) This form of a transformation guarantees a simple, direct relationship between raw scores and transformed scores that can be depicted using a straight line. The z transformation is extremely useful for a number of reasons. Rst, the z score indicates each person s standing as compared with the group mean. When the distribution of raw scores is reasonably normal, z scores can be directly converted to percentiles.

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