Chapter 4 Some Examples of Latent Budget Analysis and Its Extensions by
Peter G. M. van der Heijden, L. Andries van der Ark, and Ab Mooijaart
First LBM with T = 1 using the works of Plato on page 112.
lat 1
man 2
dim 1 45 32
lab X A B
mod X
A|X
B|X
dat [ 5 6 11 11 8 20 8 15 6 17 17 9 14 19 6 20
4 10 10 14 9 31 16 20 4 17 8 21 9 23 8 19
4 5 8 11 1 8 6 13 4 16 6 9 14 19 6 24
7 16 12 13 8 22 7 18 8 9 22 12 10 30 8 20
3 14 17 17 11 15 4 6 10 15 17 10 15 19 3 10
7 6 5 16 13 19 9 5 11 11 16 8 13 14 4 4
10 3 14 9 5 10 4 11 3 10 6 10 7 9 3 9
7 10 5 12 8 9 5 12 2 9 5 10 5 11 3 9
16 27 22 44 19 39 27 45 24 38 29 40 36 73 24 42
18 42 30 52 21 61 34 58 22 59 32 43 39 46 37 46
2 6 4 15 8 9 1 6 2 6 10 7 7 8 3 11
5 5 4 11 3 11 5 7 1 2 8 5 2 9 6 9
8 9 13 24 11 37 21 27 10 21 35 25 12 26 18 28
11 12 20 20 17 51 12 21 9 32 20 26 16 36 16 28
29 26 23 42 17 25 13 32 17 29 28 34 38 47 9 39
27 22 18 36 21 35 17 25 25 22 52 31 27 34 21 38
5 5 11 11 9 14 8 27 8 23 18 23 21 22 12 24
4 25 13 24 6 26 16 17 5 19 13 15 14 18 11 20
1 3 3 0 1 9 6 6 6 17 5 6 5 8 3 11
1 6 4 6 6 4 4 6 3 8 4 6 6 14 9 7
9 9 10 23 18 28 10 21 17 33 23 40 18 26 9 26
13 22 25 42 29 29 18 19 14 39 17 37 20 39 11 19
10 11 27 26 16 33 13 22 11 28 16 39 19 35 22 27
11 20 25 29 10 48 26 24 12 23 26 25 18 45 13 32
17 15 21 30 10 32 23 30 15 38 21 34 15 32 15 30
16 41 10 43 19 44 18 34 16 28 28 33 26 47 11 32
19 20 21 35 20 39 29 40 18 25 32 35 39 37 17 37
23 28 38 43 23 36 37 45 16 39 34 37 42 55 18 49
22 15 19 31 9 23 7 15 17 26 21 30 15 16 9 26
18 12 25 28 13 24 13 18 14 24 19 26 13 21 7 25
9 13 14 8 10 11 15 21 12 15 14 19 20 16 13 24
11 9 21 17 11 31 17 25 8 25 18 22 12 28 13 20
2 2 4 6 1 5 4 6 1 4 6 9 5 10 3 8
0 3 5 6 3 9 6 5 2 6 3 7 3 13 1 10
2 10 11 13 2 13 11 12 8 14 11 13 7 13 17 11
3 10 14 17 5 22 16 15 6 16 16 11 6 14 9 15
12 11 10 9 10 15 13 22 10 27 15 20 28 23 10 25
15 17 13 26 7 30 7 14 11 11 11 18 11 18 13 29
3 6 9 11 7 13 11 12 8 23 9 18 12 13 5 19
9 12 6 10 7 20 5 12 16 12 13 15 15 13 10 15
2 2 4 12 6 19 14 13 6 10 7 13 15 19 19 15
2 13 9 12 9 25 19 13 7 11 10 18 21 22 4 22
3 13 9 10 4 16 7 11 4 24 7 12 10 18 11 11
3 17 10 18 8 22 8 11 10 11 6 18 14 6 6 17
5 13 9 14 13 19 10 15 13 22 9 18 19 18 10 15
10 19 17 23 9 27 7 16 9 19 15 18 14 22 11 18
5 8 9 11 10 13 19 7 5 16 12 17 7 21 5 6
7 19 13 16 10 22 6 18 4 16 13 17 8 10 6 17
3 8 6 8 6 16 3 8 6 15 12 15 8 15 3 5
3 24 5 14 10 29 7 16 9 18 6 12 6 21 11 6
2 5 9 9 5 23 5 6 5 11 9 18 5 15 7 8
1 17 12 15 6 21 5 25 3 7 11 12 8 9 7 10
1 4 6 3 1 19 7 8 2 16 6 13 13 15 11 12
5 17 12 16 8 21 5 8 3 11 16 9 6 20 4 9
5 4 8 6 10 14 11 5 6 9 12 15 9 23 8 15
5 19 8 9 7 23 8 19 7 11 13 19 6 15 5 15
6 13 13 21 5 10 6 15 11 3 4 4 14 24 5 15
5 25 3 3 5 8 13 13 16 3 8 12 13 27 8 10
6 11 10 20 7 3 3 5 4 4 3 1 10 17 1 19
7 17 0 3 6 6 8 6 5 2 6 10 11 26 8 21
8 19 10 11 8 11 7 8 6 7 3 3 13 22 7 14
16 37 2 3 4 5 14 8 6 1 5 5 15 22 7 12
7 11 12 17 10 9 5 3 4 2 3 5 7 22 5 8
13 20 3 2 9 6 1 15 9 4 5 2 15 17 17 13
8 14 9 15 11 8 1 5 6 3 2 0 5 18 5 3
11 19 1 1 5 9 3 10 9 1 3 6 13 15 13 11
9 20 12 32 6 13 9 14 4 1 1 3 15 29 5 15
22 30 1 2 4 5 7 16 11 8 3 5 12 22 9 22
13 17 13 24 10 11 7 20 9 1 7 6 12 46 9 17
13 43 3 3 12 13 6 13 11 1 5 11 21 32 12 29
4 10 10 10 8 8 3 11 3 1 2 3 3 21 6 17
8 23 1 1 5 4 3 14 3 3 6 6 11 28 4 12
10 7 6 19 7 11 3 7 4 5 3 6 15 36 9 15
17 31 3 1 7 9 4 14 7 2 2 8 8 28 16 13
4 9 9 21 14 9 4 8 8 6 3 2 11 28 3 9
13 40 2 3 4 11 9 9 8 3 8 7 19 46 8 20
8 6 3 13 6 8 5 5 4 3 1 5 13 17 13 13
7 20 1 0 2 7 9 9 9 7 2 4 7 40 5 15
7 8 8 12 8 12 5 9 8 5 4 6 12 29 5 11
12 28 2 1 4 7 9 12 8 3 0 4 12 29 7 17
5 6 10 10 2 5 4 2 3 3 4 4 4 8 5 3
3 9 2 7 3 2 3 7 5 1 3 9 4 3 5 6
24 46 38 52 25 18 30 25 20 7 6 12 64 51 32 32
27 62 7 7 14 27 11 32 41 4 7 23 53 86 28 47
13 22 25 33 20 23 24 35 24 8 7 8 41 34 19 29
19 31 3 6 18 14 26 38 25 5 21 16 53 52 22 56
26 23 22 47 24 28 28 31 31 28 15 12 30 42 23 27
33 21 19 28 37 19 34 32 30 21 24 38 48 43 24 31
18 27 26 30 14 17 23 23 46 20 17 25 26 23 17 18
30 25 13 21 26 23 25 23 26 25 25 49 23 29 17 14]
*** STATISTICS *** Number of iterations = 2 Converge criterion = 0.0000000000 Seed random values = 2736 X-squared = 3576.2140 (0.0000) L-squared = 3677.9050 (0.0000) Cressie-Read = 3563.3386 (0.0000) Dissimilarity index = 0.1592 Degrees of freedom = 1364 Log-likelihood = -149617.23639 Number of parameters = 75 (+1) Sample size = 21077.0 BIC(L-squared) = -9901.9939 AIC(L-squared) = 949.9050 BIC(log-likelihood) = 299981.1681 AIC(log-likelihood) = 299384.4728
Second LBM with T = 2 using the works of Plato on page 112.