PSYC 305 Lecture Notes - Lecture 15: Boy Band, Analysis Of Variance, Probability Distribution
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Step 1: 2 transformations should be considered; sign transformation & rank transformation. In sign transformation here, we transform each and every score into either + or - according to their value in comparison with the median: larger than median => +, smaller than median => - In rank transformation, we transform scores to their relative ranks based on original score value. Note it"s ordinal data, so the intervals do not have to be equal. This nonparametric test is the counterpart for t-test; it"s like t-test, but without any assumption for normality. Comparing 2 groups through median scores (not means, as in t-test) Pertaining to the question: this table can be analyzed using chi-square test: since the table contains only frequencies. As we can see the chi-square value is smaller than the cv; this means these two groups from the same population have the same median scores.