# slide17 - Nonparametric Tests Underlying population...

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1 ± Underlying population distribution is continuous. No other assumptions. ± Data need not be quantitative, but may be categorical or rank data. ± Very quick and easy to perform. Nonparametric Tests 2 ± When distribution is normal, parametric test is better. The nonparametric test requires larger sample size to achieve same power. ± When distribution is not close to normal, nonparametric methods are much better. ± Choose the parametric procedure whenever possible. Parametric vs. Nonparametric

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3 ± Tests hypotheses about the median. ± Null hypothesis H 0 : ± Find the differences x i ± Test statistic: R + is number of differences that are positive. ± What are the P-values for different tests? ± Reject H 0 if the P-value is less than α . Sign Test (1) 0 µµ = %% 0 µ % 4 ± When n is large (at least 10), and p=0.5, the binomial is approximately normal. ±

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## This note was uploaded on 05/05/2008 for the course IE 121 taught by Professor Perevalov during the Spring '08 term at Lehigh University .

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slide17 - Nonparametric Tests Underlying population...

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