Computation of the two sample permutation test statistic Notation m number of values in observation x Treat,n number of values in observation XCont. If Ho is true,then: We can combine the values from both observations in one of size m+n=N:x={xTreat;XContf. Take a subsample xTre from x of size m.The remaining n values constitute the subsample xCont 0 Compute the replication X'Treat and XCont on x'Treat and xCont respectively. Compute the replication of the differenceCon R.Dahyot (TCD) 453 Modern statistical methods 2005 12/22Computation of the two sample permutation test statistic Notation m number of values in observation xTreat, n number of values in observation xCont. If H0 is true, then: 1 We can combine the values from both observations in one of size m + n = N: x = {xTreat, xCont}. 2 Take a subsample x ∗ Treat from x of size m. The remaining n values constitute the subsample x ∗ Cont. 3 Compute the replication x ∗ Treat and x ∗ Cont on x ∗ Treat and x ∗ Cont respectively. 4 Compute the replication of the difference θ ˆ∗ = x ∗ Treat − x ∗ Cont. R. Dahyot (TCD) 453 Modern statistical methods 2005 12 / 22