STATS 2B03 Lecture Notes - Parametric Statistics, Nsb Di 4

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They can be used in place of the parametric procedures whenever such assumptions are not satisfied. Notes: in general, nonparametric procedures do not use all of the available information in the sample. Non parametric alternative to a z- or t-test for a single population mean . Step 1: subtract 0 from each observation to obtain di = xi 0 if di=0 then eliminate di and reduce n by 1. Step 2: order the |di| values from smallest to largest and rank them 1, 2, 3, etc. if two or more |di|"s are tied then assign each tied value the average value of the ranked positions. Step 3: assign each rank as + or depending on the sign of the corresponding di. Step 4: calculate t+ = sum of the ranks with positive signs and t- = sum of the ranks with negative signs. Case iii: reject h0 if the smaller of t+, t-

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