B-iSi TRCT
,f,ft ,,udr-, t" find optimrl procedures for tesiing a larage- class of
hypotheses aboui the mean . t{e can coosider many different model becuse of
;il;.;lio- of the assumptions about the means . $c also consider several
hvrrothercs about the correltioo cofficietrts.
ln order to get powerful procedures, the covriroe mairir for this study we
must have certain patterned structure. tet y' = (f,,,,,, "",Y,.,,,..,,'l *
the vector of obser vations on the i-th ildividurl ' it is assumed that the ( are
indeoenentlv Iormrllv distributed with are indepeoently norm!lly distributed
wirh'are indepenentlv normally distributed with rrc i[d€Penently normally
distributed with mean ll, and common variances !)0'
A coordinlte - free approach is used to Iiod optimrl procedures for testing a
lxrge cliss of hyPotheses about the mean,,, . . Results for this work can be used in
anal,vzing sencral different kinds of designs, such as abalanced six-way mired
effecs model.
It is also usfurl for rnrlyzing ry of the abov€ mircd aad raDdom effects
models after adding any oumbcr of lired effects as loog as the added eftecls do
not irteracr with rny of the random effect io model ' |