44. Let X, (i=1,.,r) be independent N(,, 1). (i) The only simultaneous confidence intervals equivariant under Go are those given by (80). (ii) The inequalities (80) and (82) are equivalent. (iii) Compared with the Scheff intervals (69), the intervals (82) for u,&, are shorter when u,,-, and longer when u = ... = u,. - [(ii): For a fixed u(u,..., u,), Eu, y, is maximized subject to ly,| A for all i, by y, A when u, > 0 and y, --A when u, < 0.]