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Q122Section III (Statistics)122 of 190

A one-sided sign test pp-value from a tiny sample

Let (Xi,Yi),i=1,…,5(X_i,Y_i), i=1,\dots,5 be the bivariate pair of observations and Zi=Xi−Yi,i=1,…,5Z_i=X_i-Y_i, i=1,\dots,5. For a given sample the number of Zi>0Z_i>0 is 2. Hence the pp-value to test the null hypothesis that H0:median(Z)=0H_0:\text{median}(Z)=0 against H1:median(Z)<0H_1:\text{median}(Z)<0 is:

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