Restatement of the I-O Coefficient Stability Problem

Dobrescu, Emilian

doi:10.1186/2193-2409-2-2

Equation: $d ({sca}_{1}) = c (1) + c (2) * {sca}_{1} (- 1) + c (501) * d 90$
OLS				SUR
R-squared	0.592041	Mean dependent var.	0.001486537	R-squared	0.582578	Mean dependent var.	0.001486537
Adjusted R-squared	0.544045	S.D. dependent var.	0.04237619	Adjusted R-squared	0.533469	S.D. dependent var.	0.04237619
S.E. of regression	0.028614	Sum squared resid.	0.013919204	S.E. of regression	0.028944	Sum squared resid.	0.014242074
Durbin–Watson stat.	1.538095			Durbin–Watson stat.	1.721237

Equation: $d ({sca}_{2}) = c (3) + c (4) * {sca}_{2} (- 1) + c (5) * d ({sca}_{2} (- 1)) + c (502) * d 95 + c (503) * d 96$
OLS				SUR
R-squared	0.827101	Mean dependent var.	−0.00231224	R-squared	0.822768	Mean dependent var.	−0.00231224
Adjusted R-squared	0.777702	S.D. dependent var.	0.067510188	Adjusted R-squared	0.77213	S.D. dependent var.	0.067510188
S.E. of regression	0.03183	Sum squared resid.	0.014184143	S.E. of regression	0.032227	Sum squared resid.	0.014539665
Durbin–Watson stat.	2.754131			Durbin–Watson stat.	2.693471

Equation: $d ({sca}_{3}) = c (6) + c (7) * {sca}_{3} (- 3) + c (8) / t + c (504) * d 96$
OLS				SUR
R-squared	0.778591	Mean dependent var.	−0.00144036	R-squared	0.773913	Mean dependent var.	−0.00144036
Adjusted R-squared	0.731147	S.D. dependent var.	0.031713173	Adjusted R-squared	0.725466	S.D. dependent var.	0.031713173
S.E. of regression	0.016444	Sum squared resid.	0.003785497	S.E. of regression	0.016616	Sum squared resid.	0.003865477
Durbin–Watson stat.	2.002707			Durbin–Watson stat.	1.987606

Equation: $d ({sca}_{4}) = c (9) + c (10) * {sca}_{4} (- 2) + c (11) * d ({sca}_{4}, 2) + c (12) * t / (t + 1) + c (505) * d 96$
OLS				SUR
R-squared	0.893072	Mean dependent var.	−0.00551455	R-squared	0.890453	Mean dependent var.	−0.00551455
Adjusted R-squared	0.862522	S.D. dependent var.	0.028411694	Adjusted R-squared	0.859154	S.D. dependent var.	0.028411694
S.E. of regression	0.010535	Sum squared resid.	0.001553663	S.E. of regression	0.010663	Sum squared resid.	0.00159172
Durbin–Watson stat.	1.833085			Durbin–Watson stat.	1.813972

Equation: $d ({sca}_{5}) = c (13) + c (14) * {sca}_{5} (- 1) + c (15) * d ({sca}_{5} (- 1)) + c (16) * t / (t + 1)$
OLS				SUR
R-squared	0.805431	Mean dependent var.	0.000363901	R-squared	0.801683	Mean dependent var.	0.000363901
Adjusted R-squared	0.766517	S.D. dependent var.	0.033923317	Adjusted R-squared	0.76202	S.D. dependent var.	0.033923317
S.E. of regression	0.016392	Sum squared resid.	0.004030354	S.E. of regression	0.016549	Sum squared resid.	0.004107978
Durbin–Watson stat.	2.597269			Durbin–Watson stat.	2.536249

Equation: $d ({sca}_{6}) = c (17) + c (18) * {sca}_{6} (- 1) + c (19) * d ({sca}_{6} (- 1)) + c (20) * t / (t + 1)$
OLS				SUR
R-squared	0.741118	Mean dependent var.	−0.00271833	R-squared	0.737032	Mean dependent var.	−0.00271833
Adjusted R-squared	0.689341	S.D. dependent var.	0.03293319	Adjusted R-squared	0.684438	S.D. dependent var.	0.03293319
S.E. of regression	0.018356	Sum squared resid.	0.005054087	S.E. of regression	0.0185	Sum squared resid.	0.005133851
Durbin–Watson stat.	1.930535			Durbin–Watson stat.	1.811626

Equation: $d ({sca}_{7}) = c (21) + c (22) * {sca}_{7} (- 1) + c (23) * d ({sca}_{7} (- 1)) + c (24) * d ({sca}_{7} (- 2))$ $+ c (25) * d ({sca}_{7} (- 3)) + c (26) * t / (t + 1)$
OLS				SUR
R-squared	0.776545	Mean dependent var.	−0.00219888	R-squared	0.775659	Mean dependent var.	−0.00219888
Adjusted R-squared	0.674974	S.D. dependent var.	0.021803938	Adjusted R-squared	0.673686	S.D. dependent var.	0.021803938
S.E. of regression	0.012431	Sum squared resid.	0.001699731	S.E. of regression	0.012455	Sum squared resid.	0.001706466
Durbin–Watson stat.	2.45839			Durbin–Watson stat.	2.449675

Equation: $d ({sca}_{8}) = c (27) + c (28) * {sca}_{8} (- 1) + c (29) * d ({sca}_{8}, 2) + c (506) * d 96$
OLS				SUR
R-squared	0.79341	Mean dependent var.	−0.00483833	R-squared	0.792092	Mean dependent var.	−0.00483833
Adjusted R-squared	0.752092	S.D. dependent var.	0.024203015	Adjusted R-squared	0.75051	S.D. dependent var.	0.024203015
S.E. of regression	0.012051	Sum squared resid.	0.002178319	S.E. of regression	0.012089	Sum squared resid.	0.002192212
Durbin–Watson stat.	1.725176			Durbin–Watson stat.	1.776138

Equation: $d ({sca}_{9}) = c (30) + c (31) * {sca}_{9} (- 1) + c (32) * d ({sca}_{9} (- 2)) + c (33) * t / (t + 1) + c (507) * d 96$
OLS				SUR
R-squared	0.846468	Mean dependent var.	−0.00080741	R-squared	0.845128	Mean dependent var.	−0.00080741
Adjusted R-squared	0.799227	S.D. dependent var.	0.022579243	Adjusted R-squared	0.797475	S.D. dependent var.	0.022579243
S.E. of regression	0.010117	Sum squared resid.	0.001330662	S.E. of regression	0.010161	Sum squared resid.	0.001342271
Durbin–Watson stat.	1.832536			Durbin–Watson stat.	1.928251

Equation: $d ({sca}_{10}) = c (34) + c (35) * t / (t + 1) + c (36) * {sca}_{10} (- 1) + c (508) * d 90 + c (509) * d 95$
OLS				SUR
R-squared	0.848972	Mean dependent var.	−0.00253882	R-squared	0.846468	Mean dependent var.	−0.00253882
Adjusted R-squared	0.808698	S.D. dependent var.	0.031535026	Adjusted R-squared	0.805526	S.D. dependent var.	0.031535026
S.E. of regression	0.013793	Sum squared resid.	0.002853624	S.E. of regression	0.013907	Sum squared resid.	0.002900946
Durbin–Watson stat.	2.4873			Durbin–Watson stat.	2.432552

Equation: $d ({sra}_{1}) = c (37) + c (38) * {sra}_{1} (- 1) + c (39) * d ({sra}_{1} (- 2)) + c (40) / t + c (510) * d 98$
OLS				SUR
R-squared	0.611242	Mean dependent var.	−0.01089713	R-squared	0.609433	Mean dependent var.	−0.01089713
Adjusted R-squared	0.491625	S.D. dependent var.	0.047563903	Adjusted R-squared	0.489258	S.D. dependent var.	0.047563903
S.E. of regression	0.033913	Sum squared resid.	0.014951435	S.E. of regression	0.033992	Sum squared resid.	0.015021033
Durbin–Watson stat.	1.439341			Durbin–Watson stat.	1.431766

Equation: $d ({sra}_{2}) = c (41) + c (42) * {sra}_{2} (- 1) + c (43) * d ({sra}_{2}, 2) + c (511) * d 99$
OLS				SUR
R-squared	0.777682	Mean dependent var.	−0.00733534	R-squared	0.773894	Mean dependent var.	−0.00733534
Adjusted R-squared	0.733218	S.D. dependent var.	0.089810856	Adjusted R-squared	0.728673	S.D. dependent var.	0.089810856
S.E. of regression	0.046388	Sum squared resid.	0.032277867	S.E. of regression	0.046782	Sum squared resid.	0.032827865
Durbin–Watson stat.	1.66777			Durbin–Watson stat.	1.64911

Equation: $d ({sra}_{3}) = c (44) + c (45) * {sra}_{3} (- 2) + c (46) * d ({sra}_{3} (- 1)) + c (512) * d 99$
OLS				SUR
R-squared	0.604261	Mean dependent var.	0.007327141	R-squared	0.601432	Mean dependent var.	0.007327141
Adjusted R-squared	0.525113	S.D. dependent var.	0.095697545	Adjusted R-squared	0.521718	S.D. dependent var.	0.095697545
S.E. of regression	0.065947	Sum squared resid.	0.065235376	S.E. of regression	0.066182	Sum squared resid.	0.065701731
Durbin–Watson stat.	1.611126			Durbin–Watson stat.	1.521897

Equation: $d ({sra}_{4}) = c (47) + c (48) * {sra}_{4} (- 1) + c (513) * d 96 + c (514) * d 91$
OLS				SUR
R-squared	0.701614	Mean dependent var.	−0.00211187	R-squared	0.683711	Mean dependent var.	−0.00211187
Adjusted R-squared	0.645667	S.D. dependent var.	0.044451546	Adjusted R-squared	0.624407	S.D. dependent var.	0.044451546
S.E. of regression	0.02646	Sum squared resid.	0.011202251	S.E. of regression	0.027242	Sum squared resid.	0.011874394
Durbin–Watson stat.	2.497302			Durbin–Watson stat.	2.320523

Equation: $d ({sra}_{5} HP) = c (49) + c (50) * {sra}_{5} HP (- 1) + c (51) * d ({sra}_{5} HP (- 1))$
OLS				SUR
R-squared	0.998586	Mean dependent var.	−0.00657374	R-squared	0.998573	Mean dependent var.	−0.00657374
Adjusted R-squared	0.998409	S.D. dependent var.	0.00887352	Adjusted R-squared	0.998394	S.D. dependent var.	0.00887352
S.E. of regression	0.000354	Sum squared resid.	2.00E-06	S.E. of regression	0.000356	Sum squared resid.	2.02E-06
Durbin–Watson stat.	0.584091			Durbin–Watson stat.	0.585266

Equation: $d ({sra}_{5} HPd) = c (52) * {sra}_{5} HPd (- 1) + c (53) * d ({sra}_{5} HPd (- 1)) + c (515) * d 93 + c (516) * d 96$
OLS				SUR
R-squared	0.852908	Mean dependent var.	7.88E-06	R-squared	0.848174	Mean dependent var.	7.88E-06
Adjusted R-squared	0.82349	S.D. dependent var.	0.029321112	Adjusted R-squared	0.817809	S.D. dependent var.	0.029321112
S.E. of regression	0.012319	Sum squared resid.	0.00227626	S.E. of regression	0.012515	Sum squared resid.	0.002349518
Durbin–Watson stat.	1.956297			Durbin–Watson stat.	1.905226

Equation: $d ({sra}_{6}) = c (54) + c (55) * {sra}_{6} (- 1) + c (56) * d ({sra}_{6}, 2) + c (517) * d 93$
OLS				SUR
R-squared	0.705175	Mean dependent var.	−0.02886253	R-squared	0.701184	Mean dependent var.	−0.02886253
Adjusted R-squared	0.64621	S.D. dependent var.	0.093185537	Adjusted R-squared	0.64142	S.D. dependent var.	0.093185537
S.E. of regression	0.055427	Sum squared resid.	0.046082199	S.E. of regression	0.055801	Sum squared resid.	0.046706118
Durbin–Watson stat.	1.764954			Durbin–Watson stat.	1.907709

Equation: $d ({sra}_{7}) = c (57) + c (58) * {sra}_{7} (- 2) + c (59) * d ({sra}_{7}, 2) + c (60) / t$
OLS				SUR
R-squared	0.920327	Mean dependent var.	−0.02012059	R-squared	0.918205	Mean dependent var.	−0.02012059
Adjusted R-squared	0.904393	S.D. dependent var.	0.108371317	Adjusted R-squared	0.901847	S.D. dependent var.	0.108371317
S.E. of regression	0.033509	Sum squared resid.	0.016842702	S.E. of regression	0.033952	Sum squared resid.	0.017291216
Durbin–Watson stat.	1.736261			Durbin–Watson stat.	1.701985

Equation: $d ({sra}_{8} HP) = c (61) + c (62) * {sra}_{8} HP (- 1) + c (63) * d ({sra}_{8} HP, 2) + c (518) * d 93 + c (519) * d 94$
OLS				SUR
R-squared	0.941453	Mean dependent var.	0.005926559	R-squared	0.941163	Mean dependent var.	0.005926559
Adjusted R-squared	0.924725	S.D. dependent var.	0.005647312	Adjusted R-squared	0.924352	S.D. dependent var.	0.005647312
S.E. of regression	0.001549	Sum squared resid.	3.36E-05	S.E. of regression	0.001553	Sum squared resid.	3.38E-05
Durbin–Watson stat.	1.30744			Durbin–Watson stat.	1.274754

Equation: $d ({sra}_{8} HPd) = c (64) * d ({sra}_{8} HPd, 2) + c (520) * d 92 + c (521) * d 95$
OLS				SUR
R-squared	0.806027	Mean dependent var.	0.000312728	R-squared	0.803115	Mean dependent var.	0.000312728
Adjusted R-squared	0.78178	S.D. dependent var.	0.029986054	Adjusted R-squared	0.778504	S.D. dependent var.	0.029986054
S.E. of regression	0.014008	Sum squared resid.	0.00313945	S.E. of regression	0.014112	Sum squared resid.	0.003186578
Durbin–Watson stat.	2.438696			Durbin–Watson stat.	2.477959

Equation: $d ({sra}_{9}) = c (65) + c (66) * {sra}_{9} (- 1) + c (522) * d 93 + c (523) * d 99$
OLS				SUR
R-squared	0.774555	Mean dependent var.	−0.00223569	R-squared	0.769816	Mean dependent var.	−0.00223569
Adjusted R-squared	0.732284	S.D. dependent var.	0.110603027	Adjusted R-squared	0.726657	S.D. dependent var.	0.110603027
S.E. of regression	0.057227	Sum squared resid.	0.052399624	S.E. of regression	0.057826	Sum squared resid.	0.053501025
Durbin–Watson stat.	1.192039			Durbin–Watson stat.	1.327546

Equation: $d ({sra}_{10} l) = c (67) + c (68) * {sra}_{10} l (- 3) + c (524) * d 94$
OLS				SUR
R-squared	0.871203	Mean dependent var.	0.10191042	R-squared	0.867635	Mean dependent var.	0.10191042
Adjusted R-squared	0.85403	S.D. dependent var.	0.172691047	Adjusted R-squared	0.849986	S.D. dependent var.	0.172691047
S.E. of regression	0.065978	Sum squared resid.	0.065297402	S.E. of regression	0.066886	Sum squared resid.	0.067106068
Durbin–Watson stat.	2.849506			Durbin–Watson stat.	2.662251