LMT | SP500 : Model specifications

## OK: residuals appear as normally distributed (p = 0.443).
## OK: Residuals appear to be independent and not autocorrelated (p = 0.828).
## OK: Error variance appears to be homoscedastic (p = 0.377).
## 
##  Bounds F-test (Wald) for no cointegration
## 
## data:  d(LMT) ~ L(LMT, 1) + L(ps, 1) + L(sc, 1) + L(LMT_R, 1) + L(m1,     1) + L(PF, 1) + L(x_ff, 1) + L(TCI_R, 1) + L(PFLMT, 1) +     cpium + d(L(LMT, 1)) + d(L(LMT, 2)) + d(ps) + d(L(ps, 1)) +     d(L(ps, 2)) + d(sc) + d(L(sc, 1)) + d(L(sc, 2)) + d(LMT_R) +     d(m1) + d(L(m1, 1)) + d(PF) + d(L(PF, 1)) + d(L(PF, 2)) +     d(x_ff) + d(L(x_ff, 1)) + d(TCI_R) + d(L(TCI_R, 1)) + d(L(TCI_R,     2)) + d(PFLMT) + d(L(PFLMT, 1))
## F = 4.1125, p-value = 0.002757
## alternative hypothesis: Possible cointegration
## null values:
##    k    T 
##    9 1000
## # Check for Multicollinearity
## 
## Moderate Correlation
## 
##       Term  VIF        VIF 95% CI Increased SE Tolerance Tolerance 95% CI
##  L(LMT, 3) 9.60 [  7.60,   12.20]         3.10      0.10     [0.08, 0.13]
## 
## High Correlation
## 
##         Term     VIF        VIF 95% CI Increased SE Tolerance Tolerance 95% CI
##    L(LMT, 1)   11.75 [  9.28,   14.95]         3.43      0.09     [0.07, 0.11]
##    L(LMT, 2)   13.53 [ 10.66,   17.24]         3.68      0.07     [0.06, 0.09]
##           ps  413.14 [322.02,  530.12]        20.33  2.42e-03     [0.00, 0.00]
##     L(ps, 1)  769.13 [599.39,  987.02]        27.73  1.30e-03     [0.00, 0.00]
##     L(ps, 2)  817.84 [637.35, 1049.53]        28.60  1.22e-03     [0.00, 0.00]
##     L(ps, 3)  247.39 [192.88,  317.39]        15.73  4.04e-03     [0.00, 0.01]
##           sc   26.62 [ 20.87,   34.05]         5.16      0.04     [0.03, 0.05]
##     L(sc, 1)   35.50 [ 27.78,   45.44]         5.96      0.03     [0.02, 0.04]
##     L(sc, 2)   35.05 [ 27.43,   44.86]         5.92      0.03     [0.02, 0.04]
##     L(sc, 3)   24.11 [ 18.91,   30.82]         4.91      0.04     [0.03, 0.05]
##        LMT_R   14.53 [ 11.45,   18.53]         3.81      0.07     [0.05, 0.09]
##  L(LMT_R, 1)   14.09 [ 11.10,   17.96]         3.75      0.07     [0.06, 0.09]
##           m1  450.60 [351.21,  578.20]        21.23  2.22e-03     [0.00, 0.00]
##     L(m1, 1)  624.66 [486.83,  801.59]        24.99  1.60e-03     [0.00, 0.00]
##     L(m1, 2)  487.23 [379.75,  625.21]        22.07  2.05e-03     [0.00, 0.00]
##           PF  740.59 [577.15,  950.38]        27.21  1.35e-03     [0.00, 0.00]
##     L(PF, 1) 1139.61 [888.05, 1462.50]        33.76  8.77e-04     [0.00, 0.00]
##     L(PF, 2)  998.97 [778.47, 1282.00]        31.61  1.00e-03     [0.00, 0.00]
##     L(PF, 3)  384.10 [299.39,  492.84]        19.60  2.60e-03     [0.00, 0.00]
##         x_ff  210.59 [164.20,  270.16]        14.51  4.75e-03     [0.00, 0.01]
##   L(x_ff, 1)  393.04 [306.36,  504.32]        19.83  2.54e-03     [0.00, 0.00]
##   L(x_ff, 2)  228.16 [177.89,  292.70]        15.10  4.38e-03     [0.00, 0.01]
##        TCI_R   31.13 [ 24.38,   39.82]         5.58      0.03     [0.03, 0.04]
##  L(TCI_R, 1)   41.69 [ 32.61,   53.39]         6.46      0.02     [0.02, 0.03]
##  L(TCI_R, 2)   34.63 [ 27.10,   44.32]         5.88      0.03     [0.02, 0.04]
##  L(TCI_R, 3)   21.36 [ 16.76,   27.29]         4.62      0.05     [0.04, 0.06]
##        PFLMT   45.30 [ 35.42,   58.02]         6.73      0.02     [0.02, 0.03]
##  L(PFLMT, 1)   79.32 [ 61.93,  101.69]         8.91      0.01     [0.01, 0.02]
##  L(PFLMT, 2)   67.88 [ 53.02,   87.00]         8.24      0.01     [0.01, 0.02]
##        cpium   18.04 [ 14.18,   23.03]         4.25      0.06     [0.04, 0.07]
## 
##  OLS-based CUSUM test
## 
## data:  ocus
## S0 = 0.28838, p-value = 1

## [1] 0.008245663
## [1] 0.003231554
## [1] 0.008259545