MANOVA 11

The two DESIGN subcommands are used to obtain the sum of sguares for IODINE adjusted

for SILVER and vice versa. The decomposition and bias matrices are also reguested.

The output (Figure 1.15b) indicates that two degrees of freedom for the SILVER BY IODINE
interaction effects are lost because of the empty cells. Therefore, instead of four degrees of
freedom, it has only two.

Figure 1.15b
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REDUNDANCIES IN DESIGN MATRIX
COLUMN EFFECT

9 SILVER BY IODINE
lo (SAME)

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The decomposition and bias matrices and ANOVA table for the first DESIGN subcommand
are given in Figure 1.15c.

Figure 1.15c
ME

TRIANGULAR DECOMPOSITION OF DESIGN

PARAMETER
PARAMETER Il 2 s 4 5 6
1 —4.00000 -1.00000 -. 75000 -.50000 -.50000 -1.00000
2 1.73205 -2.23607 -.l1180 -.22361 -.22361 1.34164
3 1.4l42l —.63060 -2.10357 -.28523 -.28523 -T6061
4 1.4l42l -.63060 H. 19303 1.90227 .3252L 1.06028
5 1.73205 -.TT233 -.27090 1.60122 1.87427 -.17493
6 1.4142l -.63060 -.22119 -.10682 1.33325 3.3B625
T 1.00000 -.44590 -.15640 -.07554 - 94275 -2.92061
8 1.00000 -l,44590 -1. 19649 -1.002B7 -.T600B 1.11430
PARAMETER
PARAMETER 7 8
l 50000 25000
2 -. 22361 -.55902
3 -.64177 -.53481
4 53460 44550
5 44982 .37485
6 1.41750 1.18125
7 -1.67054 1.00232
8 -1.49674 -1.26491
BIAS COEFFICIENTS FOR SEGUENTIAL ORDERING H
EFFECT
EFFECT 1 2 3 4
l 16.00000 2.06250 1.00000 31250
2 0.0 16.93750 3.53333 1.88750
š 0.0 0.0 11.46667 3.40465
4 0.0 0.0 0.0 5.39535
TESTS OF SIGNIFICANCE FOR RESP USING SEGUENTIAL SUMS OF SOUARES
SOURCE OF VARIATION SUM OF SOUARES DF  NEAN SGUARE F SIG. OF F
WITHIN CELLS 1041 .66667 8 130.20833
CONSTANT 17095 .56250 1 17095 .56250 131.29392 0.0
SILVER 2572.30417 4 643.07604 4 .93882 -027
IODINE 149.95504 1 149.95504 1.15165 .315
SILVER BY IODINE 491.51163 2 245.75581 1.88740 .213

o EO EJ PE EI EI OEEO EO

The PRINT subcommand applies to both DESIGN specifications. Figure 1.15d presents only
the analysis of variance table for the second design specification.

Figure 1.15d
o V Ego OEEO EEVNOSIE

TESTS OF SIGNIFICANCE FOR RESP USING SEGUENTIAL SUMS OF SOUARES

SOURCE OF VARIATION SUM OF SOUARES DF MEAN SOUARE F SIG. OF F
WITHIN CELLS 1041.66667 8 130. 20833

CONSTANT 17095.56250 1 17095 .56250 151.29392 0.0
IODINE 473.20417 l 473.20417 3.63421 .093
SILVER 2249.05504 4 562..26376 4.31819 037
SILVER BY IODINE 491.51163 2 245.75581 1.88740 213

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