1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
|
** Mx startup successful **
**Mx-OSX version 1.69**
!
! Maximum Likelihood Example
!
! Bernstein data on ABO blood-groups
! c.f. Edwards, AWF (1972) Likelihood. Cambridge Univ Press, pp. 39-41
!
#ngroups 1
The following MX script lines were read for group 1
#NGROUPS 1
Note: #NGroup set number of groups to 1
ABO two locus
Data NInput=1
Begin Matrices;
P Full 1 1 Free ! allele freq loc 1
S Full 1 1 Free ! allele freq loc 2
I Unit 1 1
D Full 1 1
O Full 4 1 ! observed data
End Matrices;
Matrix D 2
Matrix O 212 103 39 148
Bound 0 1 P 1 1 S 1 1
Start .5 P 1 1 S 1 1
Begin Algebra;
Q = I - P;
T = I - S;
E = (P*P+D*P*Q)*T*T_
(Q*Q)*(S*S+D*S*T)_
(P*P+D*P*Q)*(S*S+D*S*T)_
(Q*Q)*(T*T);
F=\sum(O)@E;
End Algebra;
Compute -\sum(\ln(E).O);
Option User-Defined
End
PARAMETER SPECIFICATIONS
GROUP NUMBER: 1
ABO two locus
MATRIX D
This is a FULL matrix of order 1 by 1
It has no free parameters specified
MATRIX E
This is a computed FULL matrix of order 4 by 1
It has no free parameters specified
MATRIX F
This is a computed FULL matrix of order 4 by 1
It has no free parameters specified
MATRIX I
This is a UNIT matrix of order 1 by 1
MATRIX O
This is a FULL matrix of order 4 by 1
It has no free parameters specified
MATRIX P
This is a FULL matrix of order 1 by 1
1
1 1
MATRIX Q
This is a computed FULL matrix of order 1 by 1
It has no free parameters specified
MATRIX S
This is a FULL matrix of order 1 by 1
1
1 2
MATRIX T
This is a computed FULL matrix of order 1 by 1
It has no free parameters specified
Mx starting optimization; number of parameters = 2
MX PARAMETER ESTIMATES
GROUP NUMBER: 1
ABO two locus
MATRIX D
This is a FULL matrix of order 1 by 1
1
1 2.0000
MATRIX E
This is a computed FULL matrix of order 4 by 1
[=(P*P+D*P*Q)*T*T_(Q*Q)*(S*S+D*S*T)_(P*P+D*P*Q)*(S*S+D*S*T)_(Q*Q)*(T*T)]
1
1 0.3586
2 0.1414
3 0.1414
4 0.3586
MATRIX F
This is a computed FULL matrix of order 4 by 1
[=\SUM(O)@E]
1
1 180.0000
2 71.0000
3 71.0000
4 180.0001
MATRIX I
This is a UNIT matrix of order 1 by 1
MATRIX O
This is a FULL matrix of order 4 by 1
1
1 212.0000
2 103.0000
3 39.0000
4 148.0000
MATRIX P
This is a FULL matrix of order 1 by 1
1
1 0.2929
MATRIX Q
This is a computed FULL matrix of order 1 by 1
[=I-P]
1
1 0.7071
MATRIX S
This is a FULL matrix of order 1 by 1
1
1 0.1532
MATRIX T
This is a computed FULL matrix of order 1 by 1
[=I-S]
1
1 0.8468
Your model has 2 estimated parameters and 0 Observed statistics
User defined function value = 646.972
'Degrees of freedom' >>>>>>>>>>>>>>>> -2
This problem used 0.0% of my workspace
Task Time elapsed (DD:HH:MM:SS)
Reading script & data 0: 0: 0: 0.00
Execution 0: 0: 0: 0.00
TOTAL 0: 0: 0: 0.01
Total number of warnings issued: 0
______________________________________________________________________________
______________________________________________________________________________
|
