RDP 1977-05: Modelling Monetary Disequilibrium
Appendix B: Parameter Estimates and Test Statistics for Models 2 and 3
P.D. Jonson and J.C. Taylor
September 1977
TABLE B.1: PARAMETER ESTIMATES FOR GROUP 1 EQUATIONS
1559(3) – 1975(4)
MODEL 2 |
MODEL 3 |
Parameter |
Estimate |
t-ratio |
Parameter |
Estimate |
t-ratio |
α1 |
.6073 |
6.73 |
α1 |
.4857 |
6.23 |
α2 |
.7855 |
4.73 |
α2 |
.8215 |
4.78 |
α3 |
.1 |
|
α3 |
.1 |
|
α4 |
2.1814 |
8.00 |
α4 |
2.2976 |
7.58 |
α5 |
.1698 |
6.38 |
α5 |
.1629 |
6.65 |
α6 |
.0146 |
1.26 |
α6 |
.0075 |
.72 |
α7 |
.3140 |
7.31 |
α7 |
.3112 |
7.29 |
α8 |
.6616 |
4.00 |
α8 |
.7411 |
4.40 |
α9 |
.0627 |
1.28 |
α9 |
.0793 |
1.61 |
α10 |
.0903 |
6.88 |
α10 |
.0980 |
7.29 |
α11 |
0.0 |
|
α11 |
0.0 |
|
γ1 |
−.1771 |
4.88 |
|
|
|
λ1 |
.012 |
|
λ1 |
.012 |
|
λ2 |
.0151 |
7.16 |
λ2 |
.0129 |
3.85 |
λ3 |
.0025 |
|
λ3 |
.0025 |
|
λ4 |
.020 |
|
λ4 |
.020 |
|
β1 |
1.0 |
|
β1 |
1.0 |
|
β2 |
−1.1447 |
3.25 |
β2 |
−.4624 |
2.30 |
β3 |
−3.8 |
|
β3 |
−3.8 |
|
β4 |
−2.3820 |
2.48 |
β4 |
.0062 |
7.69 |
β5 |
−.01 |
|
β5 |
−.01 |
|
β6 |
.2044 |
2.08 |
β6 |
.0079 |
.69 |
β7 |
.3 |
|
β7 |
.3 |
|
β8 |
−.2433 |
4.55 |
β8 |
−.2533 |
4.84 |
β9 |
.7 |
|
β9 |
.7 |
|
β10 |
.8 |
|
β10 |
.8 |
|
β11 |
.0223 |
3.59 |
β11 |
.0223 |
3.41 |
β12 |
0.0 |
|
β12 |
0.0 |
|
β13 |
.1 |
|
β13 |
.1 |
|
β14 |
0.0 |
|
β14 |
0.0 |
|
β15 |
.1911 |
11.89 |
β15 |
.1787 |
12.66 |
β16 |
1.3612 |
8.64 |
β16 |
1.4618 |
9.06 |
β17 |
.2929 |
6.02 |
β17 |
.3176 |
6.46 |
β18 |
.0370 |
.17 |
β18 |
.1274 |
.80 |
β19 |
−.01 |
|
β19 |
−.01 |
|
β20 |
−.0387 |
2.78 |
β20 |
−.0104 |
.75 |
β21 |
16.9364 |
5.19 |
β21 |
17.9029 |
5.76 |
β22 |
−.3826 |
5.84 |
β22 |
−.3585 |
5.81 |
β23 |
3.3082 |
12.01 |
β23 |
3.2010 |
12.7 |
TABLE B.2: PARAMETER ESTIMATES FOR GROUP 2 EQUATIONS
MODEL 2 |
MODEL 3 |
Parameter |
Estimate |
t-ratio |
Parameter |
Estimate |
t-ratio |
α12 |
.1898 |
8.13 |
α12 |
.1943 |
8.35 |
α13 |
1.3439 |
7.48 |
α13 |
1.2647 |
6.74 |
α14 |
2.0 |
|
α14 |
2.0 |
|
α15 |
1.1155 |
7.56 |
α15 |
1.0030 |
6.28 |
α16 |
.5 |
|
α16 |
.5 |
|
α17 |
1.2018 |
5.01 |
α17 |
1.1423 |
4.97 |
α18 |
.1587 |
10.93 |
α18 |
.1525 |
10.37 |
α19 |
.26 |
|
α19 |
.26 |
|
α20 |
1.0732 |
5.63 |
α20 |
1.1247 |
5.99 |
α21 |
.1420 |
2.56 |
α21 |
.1517 |
2.81 |
α22 |
.9639 |
5.28 |
α22 |
.9316 |
5.35 |
α23 |
.0045 |
.75 |
α23 |
.0081 |
1.11 |
α24 |
.0184 |
1.52 |
α24 |
.0079 |
.69 |
α25 |
.0318 |
3.61 |
α25 |
.0348 |
3.94 |
β24 |
−.0929 |
1.79 |
β24 |
−.1024 |
2.08 |
β25 |
−.3391 |
5.86 |
β25 |
−.3278 |
5.49 |
β26 |
.2401 |
5.45 |
β26 |
.1950 |
4.07 |
β27 |
−.5324 |
6.71 |
β27 |
−.5757 |
7.26 |
β28 |
.5 |
|
β28 |
.5 |
|
β29 |
2.7572 |
5.75 |
β29 |
2.3730 |
4.80 |
β30 |
−.0057 |
.16 |
β30 |
−.0024 |
.07 |
β31 |
−.8597 |
10.22 |
β31 |
−.8565 |
10.17 |
β32 |
.2406 |
6.71 |
β32 |
.2355 |
6.56 |
β33 |
.8345 |
31.51 |
β33 |
.8391 |
29.96 |
β34 |
10.0692 |
.6.52 |
β34 |
10.6939 |
6.95 |
β35 |
−.2 |
|
β35 |
−.2 |
|
β36 |
1.8643 |
20.00 |
β36 |
1.8788 |
19.78 |
β37 |
.0884 |
4.38 |
β37 |
.0969 |
2.83 |
β38 |
−.0178 |
3.34 |
β38 |
−.0064 |
.67 |
β39 |
.0320 |
8.55 |
β39 |
.0298 |
4.97 |
β40 |
−3.2407 |
4.15 |
β40 |
−3.0889 |
2.46 |
β41 |
4.4307 |
5.04 |
β41 |
3.0785 |
2.09 |
β42 |
1,0708 |
35.58 |
β42 |
1,0631 |
33.95 |
β43 |
.0079 |
11.75 |
β43 |
.0062 |
7.69 |
β44 |
−.0038 |
4.86 |
β44 |
−.0021 |
2.23 |
β45 |
.1208 |
7.95 |
β45 |
.1079 |
5.12 |
β46 |
−.0156 |
5.97 |
β46 |
−.0204 |
5.98 |
β47 |
.1215 |
5.09 |
β47 |
.0862 |
2.98 |
β48 |
−.0184 |
4.21 |
β48 |
−.0162 |
3.43 |
β49 |
.1807 |
1.93 |
β49 |
.2724 |
2.66 |
β50 |
−.0166 |
.89 |
β50 |
−.0376 |
1.95 |
β51 |
.1741 |
1.29 |
β51 |
.0592 |
.38 |
β52 |
.1027 |
12.72 |
β52 |
.1010 |
11.98 |
β53 |
.0663 |
14.70 |
β53 |
.0705 |
14.61 |
TABLE B.3: TEST STATISTICS FOR MODELS 2 AND 3
Variable |
MODEL 2 |
MODEL 3 |
r2 |
RMSPE1 |
RMSPE2 |
r2 |
RMSPE1 |
RMSPE2 |
d |
.1603 |
.9 |
2.7 |
.1451 |
.9 |
2.2 |
k |
.2981 |
.002* |
.002* |
.2957 |
.002* |
.002* |
l |
.3417 |
.004* |
.004* |
.3386 |
.005* |
.004* |
P |
.2637 |
1.1 |
2.8 |
.2597 |
1.1 |
4.5 |
Px |
.2303 |
2.9 |
3.9 |
.2310 |
2.9 |
3.8 |
W |
.5295 |
.8 |
2.7 |
.5053 |
.8 |
3.9 |
r |
.2442 |
2.1 |
10.9 |
.2778 |
2.1 |
10.3 |
M |
.6971 |
.7 |
4.6 |
.7091 |
.7 |
8.7 |
N |
.3223 |
.2 |
.8 |
.3189 |
.2 |
.8 |
x |
.4051 |
5.8 |
5.3 |
.4006 |
5.8 |
5.5 |
i |
.3843 |
4.6 |
7.8 |
.3621 |
4.6 |
7.3 |
y |
.2505 |
2.1 |
2.9 |
.2381 |
2.1 |
2.8 |
Pg |
.1583 |
2.2 |
5.4 |
.1589 |
2.1 |
4.2 |
B |
.3277 |
1.4 |
4.9 |
.3306 |
1.8 |
3.3 |
A |
.5516 |
1.0 |
3.3 |
.5523 |
1.0 |
8.9 |
T1 |
.4462 |
7.5 |
8.4 |
.4454 |
7.5 |
8.5 |
T2 |
.2204 |
2.7 |
4.8 |
.2072 |
2.8 |
6.0 |
R |
.3016 |
5.7 |
33.4 |
.3270 |
5.5 |
36.5 |
v |
.6126 |
1.1 |
8.7 |
.6553 |
1.2 |
4.4 |
r |
.6566 |
.001* |
.003* |
.6639 |
.001* |
.007* |
E |
.7773 |
.8 |
2.9 |
.7890 |
.8 |
1.6 |
I |
.1460 |
1.0 |
2.4 |
.1504 |
1.0 |
9.0 |
C |
.6361 |
.9 |
2.4 |
.6382 |
.9 |
7.7 |
K |
.6401 |
.1 |
1.0 |
.6369 |
.1 |
1.5 |
L |
.6215 |
.2 |
.7 |
.6102 |
.2 |
1.1 |
TABLE B.4 KEY VARIABLE DEVIATIONS FROM CONTROL FOLLOWING
A BUDGETARY SHOCK: MODELS 1, 2, AND 3 (ANNUAL GROWTH RATES)
QUARTERS ELAPSED |
MODEL 1 |
MODEL 2 |
MODEL 3 |
y |
P |
R |
M |
y |
P |
R |
M |
y |
P |
R |
M |
1 |
1.32 |
.04 |
−2.84 |
.96 |
1.32 |
.00 |
.08 |
1.40 |
1.28 |
.00 |
.24 |
1.44 |
2 |
.96 |
.16 |
−2.12 |
.84 |
.88 |
.04 |
.56 |
1.32 |
.88 |
.00 |
.83 |
1.40 |
3 |
.80 |
.32 |
−1.48 |
.80 |
.76 |
.12 |
1.00 |
1.28 |
.72 |
.04 |
1.60 |
1.40 |
4 |
.75 |
.48 |
−1.32 |
.64 |
.64 |
.24 |
1.12 |
1.12 |
.60 |
.04 |
1.92 |
1.36 |
8 |
.83 |
.68 |
−1.54 |
.36 |
.54 |
.52 |
.41 |
.80 |
.47 |
.24 |
1.80 |
1.13 |
12 |
.13 |
.78 |
−1.41 |
.10 |
.25 |
.91 |
−1.46 |
.26 |
.30 |
.56 |
.27 |
.81 |
18 |
−.14 |
.75 |
−.28 |
.18 |
−,06 |
1.06 |
−1.99 |
.03 |
.12 |
.76 |
−1.53 |
.11 |
20 |
−.23 |
.82 |
.97 |
.43 |
−,29 |
1.01 |
−.22 |
.25 |
−.01 |
.83 |
−2.24 |
.18 |
24 |
−.22 |
.98 |
1.60 |
.70 |
−.34 |
.84 |
2.71 |
.81 |
−.12 |
.82 |
−1.55 |
.21 |
28 |
−.19 |
1.21 |
1.51 |
.89 |
−.22 |
.69 |
4.89 |
1.39 |
−.19 |
.78 |
.20 |
.47 |
32 |
−.22 |
1.45 |
1.08 |
.99 |
−.02 |
.60 |
4.91 |
1.72. |
−.23 |
.70 |
2.35 |
.92 |
36 |
−.27 |
1.68 |
.75 |
1.03 |
.13 |
.68 |
2.84 |
1.64 |
−.24 |
.61 |
4.38 |
1.45 |
40 |
−.34 |
1.90 |
.71 |
1.19 |
.18 |
.86 |
−.03 |
1.26 |
−.26 |
.52 |
5.87 |
1.99 |