Statistical Methods for Psychology

388 Chapter 12 Multiple Comparisons Among Treatment Means

Table 12.6 Means of conditions in our morphine example

Groups: M-S M-M S-S S-M Mc-M

Means: 4.00 10.00 11.00 24.00 29.00

Coefficient

aj 22 ⁄ 2 1 ⁄ 3 21 ⁄ 2 1 ⁄ 3 1 ⁄ 3 0.833 18.167

bj 0 210012 19

cj 2 20 1002 7

dj 012 100 2 21

M-S, S-S versus M-M, S-M, Mc-M

M-M versus Mc-M

M-S versus S-S

M-M versus S-S

=

10–11

32

=

1

5.657

=0.177

=

( 2 1)10.00 2 (1)11.00

132

dN 4 =

adiXi

serror

=

1 XM-M 2 1(1)XS-S

1 MSerror

=

24111

32

=

7

5.657

=1.24

=

( 2 1)4.00 1 (1)11.00

132

dN 3 =

aciXi

serror

=

21 XM-S 1 (1)XS-S

1 MSerror

=

- 10.00 1 29.00

32

=

19

5.657

=3.36

=

(-1)10.00 1 (1)29.00

132

dN 2 = a

biXi

serror

=

• 1 XM-M 1 (1)XMc-M
  1 MSerror

=

-

4.00 1 10.00 1 11.00

3

1

24.00 1 29.00

2

132

=

- 8.333 1 26.5

5.657

=

18.167

5.657

=3.21

=

A-

1

3 B4.00^1 A-

1

3 B10.00^1 A-

1

3 B11.00^1 A

1

2 B24.00^1 A

1

2 B^29

132

dN 2 = a

biXi

serror

=

• 1 XM-M 1 (1)XMc-M
  1 MSerror

aa^2 j c= aajXj