In the case of testing for the center of symmetry, suppose that Xni , 1 ≤ i ≤ n, are independent observations with the cdf F(x − θn). Then for the t -test, we have Tn = ¯Xn = n

−1

n i=1 Xni and

where Yni = (2/
√
n){1(Xni>0) − F(θn)}. Once again, verify the conditions below (6.35) with Xni replaced by Yni .

Transcribed Image Text:

n n(Tn-On) Yni i=1