146
Table 5.5 Summary of the Test Statistics Considered in
Monte Carlo for Location and/or Scale
Alternatives.
Test
Statistic
Description
Section
in Thesis
1
?2n
f;1
W2n
with
Kln"K2nLln'L2n L
4.2
2
^ 2 n
k1
~2n
with
SS weights
4.2
3
in
k'
W2n
with
STD weights
4.2
4
Win
T1
Win
with
kt ~=K9=L,_ =L 9 = 1
In 2n In 2n
4.2
5
in
ir1
Win
with
SS weights
4.2
6
win
i:1
Win
with
STD weights
4.2
7
Win
h1
W 3 n
with
Kln=K2n=1
4.3
8
Win
hl
~3 n
with
STD weights
4.3
9
Win
h1
~3n
with
SS weights
4.3
10
Siegel
Podger Statistic
5.3
11
n
1 nc
" Tc
(M)
ll
+ 2T
nc
3.3
12
CD
statistic
using Varg(CD)
2 .4
nu + nt = n. The test proposed by Seigel and Podger (1982)
is to compare the observed frequencies nu and n^ against
the expected values of n/2 (under HQ) using the binomial
distribution or when appropriate, an approximate large
sample distribution. A suggested statistic which would be
appropriate for the approximation is McNemars statistic
which could be defined here as
TSP = ^nt nu> ^n*
Under HQ, Tgp has a limiting y/jx
distribution.