Output from vision2.sas
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Vision Symmetry 1 Testing marginal homogeneity
CATMOD PROCEDURE
Response: RIGHT*LEFT Response Levels (R)= 16
Weight Variable: COUNT Populations (S)= 2
Data Set: VISION Total Frequency (N)= 10719
Frequency Missing: 0 Observations (Obs)= 32
POPULATION PROFILES
Sample
Sample GENDER Size
------------------------
1 F 7477
2 M 3242
RESPONSE PROFILES
Response RIGHT LEFT
---------------------
1 1 1
2 1 2
3 1 3
4 1 4
5 2 1
6 2 2
7 2 3
8 2 4
9 3 1
10 3 2
11 3 3
12 3 4
13 4 1
14 4 2
15 4 3
16 4 4
Vision Symmetry 2 Testing marginal homogeneity
Function Response DESIGN MATRIX
Sample Number Function 1 2 3 4 5
-------------------------------------------------------------------
1 1 0.26428 1 0 0 1 0
2 0.30173 0 1 0 0 1
3 0.32847 0 0 1 0 0
4 0.25505 1 0 0 1 0
5 0.29718 0 1 0 0 1
6 0.33529 0 0 1 0 0
2 1 0.32480 1 0 0 -1 0
2 0.24121 0 1 0 0 -1
3 0.24861 0 0 1 0 0
4 0.32449 1 0 0 -1 0
5 0.24399 0 1 0 0 -1
6 0.28347 0 0 1 0 0
Function DESIGN MATRIX Sample Number 6 7 8 9 10 11 12 -----------------------------------------------------------------------
1 1 0 1 0 0 0 0 0
2 0 0 1 0 0 0 0
3 1 0 0 1 0 0 0
4 0 -1 0 0 0 0 0
5 0 0 -1 0 0 0 0
6 1 0 0 -1 0 0 0
2 1 0 0 0 0 1 0 0
2 0 0 0 0 0 1 0
3 -1 0 0 0 0 0 1
4 0 0 0 0 -1 0 0
5 0 0 0 0 0 -1 0
6 -1 0 0 0 0 0 -1
ANALYSIS-OF-VARIANCE TABLE
Source DF Chi-Square Prob
--------------------------------------------------
INTERCEPT 3 63204.98 0.0000
GENDER 3 177.07 0.0000
EYE(GENDER=F) 3 11.98 0.0075
EYE(GENDER=M) 3 69.16 0.0000
RESIDUAL 0 . .
Vision Symmetry 3 Testing marginal homogeneity
ANALYSIS OF WEIGHTED-LEAST-SQUARES ESTIMATES
Standard Chi-
Effect Parameter Estimate Error Square Prob
----------------------------------------------------------------
INTERCEPT 1 0.2922 0.00443 4346.13 0.0000
2 0.2710 0.00401 4568.32 0.0000
3 0.2990 0.00419 5089.64 0.0000
GENDER 4 -0.0325 0.00443 53.75 0.0000
5 0.0284 0.00401 50.26 0.0000
6 0.0329 0.00419 61.72 0.0000
EYE(GENDER=F) 7 0.00461 0.00194 5.65 0.0174
8 0.00227 0.00255 0.80 0.3726
9 -0.00341 0.00252 1.83 0.1757
EYE(GENDER=M) 10 0.000154 0.00332 0.00 0.9629
11 -0.00139 0.00373 0.14 0.7098
12 -0.0174 0.00363 23.00 0.0000
Vision Symmetry 4 Testing marginal homogeneity
CATMOD PROCEDURE
Response: RIGHT*LEFT Response Levels (R)= 16
Weight Variable: COUNT Populations (S)= 2
Data Set: VISION Total Frequency (N)= 10719
Frequency Missing: 0 Observations (Obs)= 32
POPULATION PROFILES
Sample
Sample GENDER Size
------------------------
1 F 7477
2 M 3242
RESPONSE PROFILES
Response RIGHT LEFT
---------------------
1 1 1
2 1 2
3 1 3
4 1 4
5 2 1
6 2 2
7 2 3
8 2 4
9 3 1
10 3 2
11 3 3
12 3 4
13 4 1
14 4 2
15 4 3
16 4 4
Vision Symmetry 5 Testing marginal homogeneity
Function Response DESIGN MATRIX
Sample Number Function 1 2 3 4 5
-------------------------------------------------------------------
1 1 0.26428 1 0 0 1 0
2 0.30173 0 1 0 0 1
3 0.32847 0 0 1 0 0
4 0.25505 1 0 0 1 0
5 0.29718 0 1 0 0 1
6 0.33529 0 0 1 0 0
2 1 0.32480 1 0 0 -1 0
2 0.24121 0 1 0 0 -1
3 0.24861 0 0 1 0 0
4 0.32449 1 0 0 -1 0
5 0.24399 0 1 0 0 -1
6 0.28347 0 0 1 0 0
Function DESIGN MATRIX Sample Number 6 7 8 9 10 11 12 -----------------------------------------------------------------------
1 1 0 1 0 0 1 0 0
2 0 0 1 0 0 1 0
3 1 0 0 1 0 0 1
4 0 -1 0 0 -1 0 0
5 0 0 -1 0 0 -1 0
6 1 0 0 -1 0 0 -1
2 1 0 1 0 0 -1 0 0
2 0 0 1 0 0 -1 0
3 -1 0 0 1 0 0 -1
4 0 -1 0 0 1 0 0
5 0 0 -1 0 0 1 0
6 -1 0 0 -1 0 0 1
ANALYSIS-OF-VARIANCE TABLE
Source DF Chi-Square Prob
--------------------------------------------------
INTERCEPT 3 63204.98 0.0000
GENDER 3 177.07 0.0000
EYE 3 38.73 0.0000
GENDER*EYE 3 57.60 0.0000
RESIDUAL 0 . .
Vision Symmetry 6 Testing marginal homogeneity
ANALYSIS OF WEIGHTED-LEAST-SQUARES ESTIMATES
Standard Chi-
Effect Parameter Estimate Error Square Prob
----------------------------------------------------------------
INTERCEPT 1 0.2922 0.00443 4346.13 0.0000
2 0.2710 0.00401 4568.32 0.0000
3 0.2990 0.00419 5089.64 0.0000
GENDER 4 -0.0325 0.00443 53.75 0.0000
5 0.0284 0.00401 50.26 0.0000
6 0.0329 0.00419 61.72 0.0000
EYE 7 0.00238 0.00192 1.54 0.2149
8 0.000443 0.00226 0.04 0.8446
9 -0.0104 0.00221 22.21 0.0000
GENDER*EYE 10 0.00223 0.00192 1.35 0.2460
11 0.00183 0.00226 0.66 0.4177
12 0.00701 0.00221 10.05 0.0015
Vision Symmetry 7 Testing marginal homogeneity
OBS RIGHT LEFT COUNT GENDER
1 1 1 1520 F
2 1 2 266 F
3 1 3 124 F
4 1 4 66 F
5 2 1 234 F
6 2 2 1512 F
7 2 3 432 F
8 2 4 78 F
9 3 1 117 F
10 3 2 362 F
11 3 3 1772 F
12 3 4 205 F
13 4 1 36 F
14 4 2 82 F
15 4 3 179 F
16 4 4 492 F
17 1 1 821 M
18 1 2 112 M
19 1 3 85 M
20 1 4 35 M
21 2 1 116 M
22 2 2 494 M
23 2 3 145 M
24 2 4 27 M
25 3 1 72 M
26 3 2 151 M
27 3 3 583 M
28 4 4 87 M
29 4 1 43 M
30 4 2 34 M
31 4 3 106 M
32 4 4 331 M