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Non-parametric tests - Main < Vanderbilt …

Non-parametric testsNon- parametric Robbins Scholars SeriesJune 24, 20101 / 30 Non-parametric testsOutlineOne Sample Test: Wilcoxon Signed-RankTwo Sample Test: Wilcoxon Mann WhitneyConfidence IntervalsSummary2 / 30 Non-parametric testsIntroductionIT- tests : tests for the means of continuous dataIOne sampleH0: = 0versusHA: 6= 0 ITwo sampleH0: 1 2= 0 versusHA: 1 26= 0 IUnderlying these tests is the assumption that the data arisefrom a normal distributionIT- tests do not actually require normally distributed data toperform reasonably well in most circumstancesIParametric methods: assume the data arise from adistribution described by a few parameters (Normaldistribution with mean and variance 2).

Non-parametric tests One Sample Test: Wilcoxon Signed-Rank One sample tests I Non-parametric analogue to the one sample t-test. I Almost always used on paired data where the column of values represents di erences (e.g., D = Y post Y pre). I Sign test: the simplest test for the median di erence being zero in the population

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