ramVF: Generate a vector field plot based on the bivariate lcsm

Description Usage Arguments References Examples

Description

Generate a vector field plot based on the bivariate lcsm

Usage

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ramVF(ramout, ylim, xlim, ninterval=10, scale=.1, length=.25, 
scatter=TRUE, n=20, alpha=.95, ...)

Arguments

ramout

Output from the ramBLCS function

ylim

Range of y data, for example, c(0,80) from 0 to 80

xlim

Range of x data, for example, c(0,80) from 0 to 80

ninterval

Number of intervals for plotting. The default is 10.

scale

Time interval to calculate vector fields.

length

The length of arrows to plot

scatter

Whether to plot the data points

n

The number of data points to be plotted

alpha

The confidence level to calculate the ellipse

...

Options for plot and arrows function.

References

Zhang, Z., Hamagami, F., Grimm, K. J., & McArdle, J. J. (2013). Using R Package RAMpath for Tracing SEM Path Diagrams and Conducting Complex Longitudinal Data Analysis. Structural Equation Modeling.

Examples

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data(ex3)
test.blcs<-ramBLCS(ex3, 1:6, 7:12, ram.out=TRUE)
ramVF(test.blcs, c(0,80),c(0,80), length=.05, xlab='X', ylab='Y',scale=.5, ninterval=9)

Example output

Loading required package: lavaan
This is lavaan 0.5-23.1097
lavaan is BETA software! Please report any bugs.
Loading required package: ellipse
Loading required package: MASS
lavaan (0.5-23.1097) converged normally after 139 iterations

  Number of observations                           500

  Estimator                                         ML
  Minimum Function Test Statistic               64.600
  Degrees of freedom                                70
  P-value (Chi-square)                           0.660

Model test baseline model:

  Minimum Function Test Statistic             3441.089
  Degrees of freedom                                66
  P-value                                        0.000

User model versus baseline model:

  Comparative Fit Index (CFI)                    1.000
  Tucker-Lewis Index (TLI)                       1.002

Loglikelihood and Information Criteria:

  Loglikelihood user model (H0)             -16562.752
  Loglikelihood unrestricted model (H1)     -16530.452

  Number of free parameters                         20
  Akaike (AIC)                               33165.504
  Bayesian (BIC)                             33249.796
  Sample-size adjusted Bayesian (BIC)        33186.315

Root Mean Square Error of Approximation:

  RMSEA                                          0.000
  90 Percent Confidence Interval          0.000  0.022
  P-value RMSEA <= 0.05                          1.000

Standardized Root Mean Square Residual:

  SRMR                                           0.027

Parameter Estimates:

  Information                                 Expected
  Standard Errors                             Standard

Latent Variables:
                   Estimate  Std.Err  z-value  P(>|z|)
  y0 =~                                               
    y1                1.000                           
  dy2 =~                                              
    y2                1.000                           
  dy3 =~                                              
    y3                1.000                           
  dy4 =~                                              
    y4                1.000                           
  dy5 =~                                              
    y5                1.000                           
  dy6 =~                                              
    y6                1.000                           
  ys =~                                               
    dy2               1.000                           
    dy3               1.000                           
    dy4               1.000                           
    dy5               1.000                           
    dy6               1.000                           
  y1 =~                                               
    X1                1.000                           
  y2 =~                                               
    X2                1.000                           
  y3 =~                                               
    X3                1.000                           
  y4 =~                                               
    X4                1.000                           
  y5 =~                                               
    X5                1.000                           
  y6 =~                                               
    X6                1.000                           
  x0 =~                                               
    x1                1.000                           
  dx2 =~                                              
    x2                1.000                           
  dx3 =~                                              
    x3                1.000                           
  dx4 =~                                              
    x4                1.000                           
  dx5 =~                                              
    x5                1.000                           
  dx6 =~                                              
    x6                1.000                           
  xs =~                                               
    dx2               1.000                           
    dx3               1.000                           
    dx4               1.000                           
    dx5               1.000                           
    dx6               1.000                           
  x1 =~                                               
    Y7                1.000                           
  x2 =~                                               
    Y8                1.000                           
  x3 =~                                               
    Y9                1.000                           
  x4 =~                                               
    Y10               1.000                           
  x5 =~                                               
    Y11               1.000                           
  x6 =~                                               
    Y12               1.000                           

Regressions:
                   Estimate  Std.Err  z-value  P(>|z|)
  y2 ~                                                
    y1                1.000                           
  y3 ~                                                
    y2                1.000                           
  y4 ~                                                
    y3                1.000                           
  y5 ~                                                
    y4                1.000                           
  y6 ~                                                
    y5                1.000                           
  dy2 ~                                               
    y1      (bety)    0.226    0.047    4.769    0.000
  dy3 ~                                               
    y2      (bety)    0.226    0.047    4.769    0.000
  dy4 ~                                               
    y3      (bety)    0.226    0.047    4.769    0.000
  dy5 ~                                               
    y4      (bety)    0.226    0.047    4.769    0.000
  dy6 ~                                               
    y5      (bety)    0.226    0.047    4.769    0.000
  x2 ~                                                
    x1                1.000                           
  x3 ~                                                
    x2                1.000                           
  x4 ~                                                
    x3                1.000                           
  x5 ~                                                
    x4                1.000                           
  x6 ~                                                
    x5                1.000                           
  dx2 ~                                               
    x1      (betx)   -0.194    0.106   -1.824    0.068
  dx3 ~                                               
    x2      (betx)   -0.194    0.106   -1.824    0.068
  dx4 ~                                               
    x3      (betx)   -0.194    0.106   -1.824    0.068
  dx5 ~                                               
    x4      (betx)   -0.194    0.106   -1.824    0.068
  dx6 ~                                               
    x5      (betx)   -0.194    0.106   -1.824    0.068
  dy2 ~                                               
    x1      (gmmx)   -0.139    0.127   -1.090    0.276
  dy3 ~                                               
    x2      (gmmx)   -0.139    0.127   -1.090    0.276
  dy4 ~                                               
    x3      (gmmx)   -0.139    0.127   -1.090    0.276
  dy5 ~                                               
    x4      (gmmx)   -0.139    0.127   -1.090    0.276
  dy6 ~                                               
    x5      (gmmx)   -0.139    0.127   -1.090    0.276
  dx2 ~                                               
    y1      (gmmy)    0.098    0.040    2.478    0.013
  dx3 ~                                               
    y2      (gmmy)    0.098    0.040    2.478    0.013
  dx4 ~                                               
    y3      (gmmy)    0.098    0.040    2.478    0.013
  dx5 ~                                               
    y4      (gmmy)    0.098    0.040    2.478    0.013
  dx6 ~                                               
    y5      (gmmy)    0.098    0.040    2.478    0.013

Covariances:
                   Estimate  Std.Err  z-value  P(>|z|)
  y0 ~~                                               
    ys     (vry0y)    0.703    0.231    3.036    0.002
  x0 ~~                                               
    xs     (vrx0x)    0.893    0.346    2.582    0.010
  y0 ~~                                               
    x0      (vr00)    0.979    0.399    2.456    0.014
  ys ~~                                               
    x0     (vrx0y)    0.475    0.489    0.972    0.331
  y0 ~~                                               
    xs     (vry0x)    0.222    0.206    1.078    0.281
  ys ~~                                               
    xs      (vrxs)    0.666    0.239    2.782    0.005

Intercepts:
                   Estimate  Std.Err  z-value  P(>|z|)
    ys       (mys)    5.090    1.657    3.072    0.002
    y0       (my0)   20.193    0.149  135.178    0.000
    y1                0.000                           
   .y2                0.000                           
   .y3                0.000                           
   .y4                0.000                           
   .y5                0.000                           
   .y6                0.000                           
   .dy2               0.000                           
   .dy3               0.000                           
   .dy4               0.000                           
   .dy5               0.000                           
   .dy6               0.000                           
   .X1                0.000                           
   .X2                0.000                           
   .X3                0.000                           
   .X4                0.000                           
   .X5                0.000                           
   .X6                0.000                           
    xs       (mxs)    4.939    1.384    3.568    0.000
    x0       (mx0)   19.934    0.153  130.588    0.000
    x1                0.000                           
   .x2                0.000                           
   .x3                0.000                           
   .x4                0.000                           
   .x5                0.000                           
   .x6                0.000                           
   .dx2               0.000                           
   .dx3               0.000                           
   .dx4               0.000                           
   .dx5               0.000                           
   .dx6               0.000                           
   .Y7                0.000                           
   .Y8                0.000                           
   .Y9                0.000                           
   .Y10               0.000                           
   .Y11               0.000                           
   .Y12               0.000                           

Variances:
                   Estimate  Std.Err  z-value  P(>|z|)
   .dy2               0.000                           
   .dy3               0.000                           
   .dy4               0.000                           
   .dy5               0.000                           
   .dy6               0.000                           
    y1                0.000                           
   .y2                0.000                           
   .y3                0.000                           
   .y4                0.000                           
   .y5                0.000                           
   .y6                0.000                           
    y0      (vry0)    4.156    0.532    7.812    0.000
    ys      (vrys)    1.012    0.185    5.460    0.000
   .X1      (vary)    9.088    0.287   31.614    0.000
   .X2      (vary)    9.088    0.287   31.614    0.000
   .X3      (vary)    9.088    0.287   31.614    0.000
   .X4      (vary)    9.088    0.287   31.614    0.000
   .X5      (vary)    9.088    0.287   31.614    0.000
   .X6      (vary)    9.088    0.287   31.614    0.000
   .dx2               0.000                           
   .dx3               0.000                           
   .dx4               0.000                           
   .dx5               0.000                           
   .dx6               0.000                           
    x1                0.000                           
   .x2                0.000                           
   .x3                0.000                           
   .x4                0.000                           
   .x5                0.000                           
   .x6                0.000                           
    x0      (vrx0)    3.459    0.630    5.493    0.000
    xs      (vrxs)    0.899    0.374    2.403    0.016
   .Y7      (varx)    9.674    0.306   31.658    0.000
   .Y8      (varx)    9.674    0.306   31.658    0.000
   .Y9      (varx)    9.674    0.306   31.658    0.000
   .Y10     (varx)    9.674    0.306   31.658    0.000
   .Y11     (varx)    9.674    0.306   31.658    0.000
   .Y12     (varx)    9.674    0.306   31.658    0.000


--------------------
Parameter estimates:
--------------------

Matrix A

    X1 X2 X3 X4 X5 X6 Y7 Y8 Y9 Y10 Y11 Y12 y0 dy2 dy3 dy4 dy5 dy6 ys    y1
X1   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0 1.000
X2   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y7   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y8   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y9   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y10  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y11  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y12  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y0   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dy2  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  1 0.226
dy3  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  1     0
dy4  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  1     0
dy5  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  1     0
dy6  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  1     0
ys   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y1   0  0  0  0  0  0  0  0  0   0   0   0  1   0   0   0   0   0  0     0
y2   0  0  0  0  0  0  0  0  0   0   0   0  0   1   0   0   0   0  0 1.000
y3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   1   0   0   0  0     0
y4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   1   0   0  0     0
y5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   1   0  0     0
y6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   1  0     0
x0   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx2  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0 0.098
dx3  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx4  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx5  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx6  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
xs   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x1   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x2   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
       y2    y3    y4    y5 y6 x0 dx2 dx3 dx4 dx5 dx6 xs    x1    x2    x3
X1      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
X2  1.000     0     0     0  0  0   0   0   0   0   0  0     0     0     0
X3      0 1.000     0     0  0  0   0   0   0   0   0  0     0     0     0
X4      0     0 1.000     0  0  0   0   0   0   0   0  0     0     0     0
X5      0     0     0 1.000  0  0   0   0   0   0   0  0     0     0     0
X6      0     0     0     0  1  0   0   0   0   0   0  0     0     0     0
Y7      0     0     0     0  0  0   0   0   0   0   0  0  1.00     0     0
Y8      0     0     0     0  0  0   0   0   0   0   0  0     0  1.00     0
Y9      0     0     0     0  0  0   0   0   0   0   0  0     0     0  1.00
Y10     0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
Y11     0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
Y12     0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
y0      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
dy2     0     0     0     0  0  0   0   0   0   0   0  0 -0.14     0     0
dy3 0.226     0     0     0  0  0   0   0   0   0   0  0     0 -0.14     0
dy4     0 0.226     0     0  0  0   0   0   0   0   0  0     0     0 -0.14
dy5     0     0 0.226     0  0  0   0   0   0   0   0  0     0     0     0
dy6     0     0     0 0.226  0  0   0   0   0   0   0  0     0     0     0
ys      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
y1      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
y2      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
y3  1.000     0     0     0  0  0   0   0   0   0   0  0     0     0     0
y4      0 1.000     0     0  0  0   0   0   0   0   0  0     0     0     0
y5      0     0 1.000     0  0  0   0   0   0   0   0  0     0     0     0
y6      0     0     0 1.000  0  0   0   0   0   0   0  0     0     0     0
x0      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
dx2     0     0     0     0  0  0   0   0   0   0   0  1 -0.19     0     0
dx3 0.098     0     0     0  0  0   0   0   0   0   0  1     0 -0.19     0
dx4     0 0.098     0     0  0  0   0   0   0   0   0  1     0     0 -0.19
dx5     0     0 0.098     0  0  0   0   0   0   0   0  1     0     0     0
dx6     0     0     0 0.098  0  0   0   0   0   0   0  1     0     0     0
xs      0     0     0     0  0  0   0   0   0   0   0  0     0     0     0
x1      0     0     0     0  0  1   0   0   0   0   0  0     0     0     0
x2      0     0     0     0  0  0   1   0   0   0   0  0  1.00     0     0
x3      0     0     0     0  0  0   0   1   0   0   0  0     0  1.00     0
x4      0     0     0     0  0  0   0   0   1   0   0  0     0     0  1.00
x5      0     0     0     0  0  0   0   0   0   1   0  0     0     0     0
x6      0     0     0     0  0  0   0   0   0   0   1  0     0     0     0
       x4    x5 x6
X1      0     0  0
X2      0     0  0
X3      0     0  0
X4      0     0  0
X5      0     0  0
X6      0     0  0
Y7      0     0  0
Y8      0     0  0
Y9      0     0  0
Y10  1.00     0  0
Y11     0  1.00  0
Y12     0     0  1
y0      0     0  0
dy2     0     0  0
dy3     0     0  0
dy4     0     0  0
dy5 -0.14     0  0
dy6     0 -0.14  0
ys      0     0  0
y1      0     0  0
y2      0     0  0
y3      0     0  0
y4      0     0  0
y5      0     0  0
y6      0     0  0
x0      0     0  0
dx2     0     0  0
dx3     0     0  0
dx4     0     0  0
dx5 -0.19     0  0
dx6     0 -0.19  0
xs      0     0  0
x1      0     0  0
x2      0     0  0
x3      0     0  0
x4      0     0  0
x5   1.00     0  0
x6      0  1.00  0

Matrix S

     X1  X2  X3  X4  X5  X6  Y7  Y8  Y9 Y10 Y11 Y12   y0 dy2 dy3 dy4 dy5 dy6
X1  9.1   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
X2    0 9.1   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
X3    0   0 9.1   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
X4    0   0   0 9.1   0   0   0   0   0   0   0   0    0   0   0   0   0   0
X5    0   0   0   0 9.1   0   0   0   0   0   0   0    0   0   0   0   0   0
X6    0   0   0   0   0 9.1   0   0   0   0   0   0    0   0   0   0   0   0
Y7    0   0   0   0   0   0 9.7   0   0   0   0   0    0   0   0   0   0   0
Y8    0   0   0   0   0   0   0 9.7   0   0   0   0    0   0   0   0   0   0
Y9    0   0   0   0   0   0   0   0 9.7   0   0   0    0   0   0   0   0   0
Y10   0   0   0   0   0   0   0   0   0 9.7   0   0    0   0   0   0   0   0
Y11   0   0   0   0   0   0   0   0   0   0 9.7   0    0   0   0   0   0   0
Y12   0   0   0   0   0   0   0   0   0   0   0 9.7    0   0   0   0   0   0
y0    0   0   0   0   0   0   0   0   0   0   0   0 4.16   0   0   0   0   0
dy2   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dy3   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dy4   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dy5   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dy6   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
ys    0   0   0   0   0   0   0   0   0   0   0   0 0.70   0   0   0   0   0
y1    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
y2    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
y3    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
y4    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
y5    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
y6    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x0    0   0   0   0   0   0   0   0   0   0   0   0 0.98   0   0   0   0   0
dx2   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dx3   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dx4   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dx5   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
dx6   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
xs    0   0   0   0   0   0   0   0   0   0   0   0 0.22   0   0   0   0   0
x1    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x2    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x3    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x4    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x5    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
x6    0   0   0   0   0   0   0   0   0   0   0   0    0   0   0   0   0   0
      ys y1 y2 y3 y4 y5 y6   x0 dx2 dx3 dx4 dx5 dx6   xs x1 x2 x3 x4 x5 x6
X1     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
X2     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
X3     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
X4     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
X5     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
X6     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y7     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y8     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y9     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y10    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y11    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
Y12    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y0  0.70  0  0  0  0  0  0 0.98   0   0   0   0   0 0.22  0  0  0  0  0  0
dy2    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dy3    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dy4    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dy5    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dy6    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
ys  1.01  0  0  0  0  0  0 0.48   0   0   0   0   0 0.67  0  0  0  0  0  0
y1     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y2     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y3     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y4     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y5     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
y6     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x0  0.48  0  0  0  0  0  0 3.46   0   0   0   0   0 0.89  0  0  0  0  0  0
dx2    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dx3    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dx4    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dx5    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
dx6    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
xs  0.67  0  0  0  0  0  0 0.89   0   0   0   0   0 0.90  0  0  0  0  0  0
x1     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x2     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x3     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x4     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x5     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0
x6     0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0  0  0  0

----------------------------------------
Standard errors for parameter estimates:
----------------------------------------

Matrix A

    X1 X2 X3 X4 X5 X6 Y7 Y8 Y9 Y10 Y11 Y12 y0 dy2 dy3 dy4 dy5 dy6 ys    y1
X1   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X2   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
X6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y7   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y8   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y9   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y10  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y11  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
Y12  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y0   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dy2  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0 0.047
dy3  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dy4  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dy5  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dy6  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
ys   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y1   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y2   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
y6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x0   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx2  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0 0.040
dx3  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx4  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx5  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
dx6  0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
xs   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x1   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x2   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x3   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x4   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x5   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
x6   0  0  0  0  0  0  0  0  0   0   0   0  0   0   0   0   0   0  0     0
       y2    y3    y4    y5 y6 x0 dx2 dx3 dx4 dx5 dx6 xs   x1   x2   x3   x4
X1      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
X2      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
X3      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
X4      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
X5      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
X6      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y7      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y8      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y9      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y10     0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y11     0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
Y12     0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y0      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
dy2     0     0     0     0  0  0   0   0   0   0   0  0 0.13    0    0    0
dy3 0.047     0     0     0  0  0   0   0   0   0   0  0    0 0.13    0    0
dy4     0 0.047     0     0  0  0   0   0   0   0   0  0    0    0 0.13    0
dy5     0     0 0.047     0  0  0   0   0   0   0   0  0    0    0    0 0.13
dy6     0     0     0 0.047  0  0   0   0   0   0   0  0    0    0    0    0
ys      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y1      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y2      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y3      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y4      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y5      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
y6      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x0      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
dx2     0     0     0     0  0  0   0   0   0   0   0  0 0.11    0    0    0
dx3 0.040     0     0     0  0  0   0   0   0   0   0  0    0 0.11    0    0
dx4     0 0.040     0     0  0  0   0   0   0   0   0  0    0    0 0.11    0
dx5     0     0 0.040     0  0  0   0   0   0   0   0  0    0    0    0 0.11
dx6     0     0     0 0.040  0  0   0   0   0   0   0  0    0    0    0    0
xs      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x1      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x2      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x3      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x4      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x5      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
x6      0     0     0     0  0  0   0   0   0   0   0  0    0    0    0    0
      x5 x6
X1     0  0
X2     0  0
X3     0  0
X4     0  0
X5     0  0
X6     0  0
Y7     0  0
Y8     0  0
Y9     0  0
Y10    0  0
Y11    0  0
Y12    0  0
y0     0  0
dy2    0  0
dy3    0  0
dy4    0  0
dy5    0  0
dy6 0.13  0
ys     0  0
y1     0  0
y2     0  0
y3     0  0
y4     0  0
y5     0  0
y6     0  0
x0     0  0
dx2    0  0
dx3    0  0
dx4    0  0
dx5    0  0
dx6 0.11  0
xs     0  0
x1     0  0
x2     0  0
x3     0  0
x4     0  0
x5     0  0
x6     0  0

Matrix S

      X1   X2   X3   X4   X5   X6   Y7   Y8   Y9  Y10  Y11  Y12   y0 dy2 dy3
X1  0.29    0    0    0    0    0    0    0    0    0    0    0    0   0   0
X2     0 0.29    0    0    0    0    0    0    0    0    0    0    0   0   0
X3     0    0 0.29    0    0    0    0    0    0    0    0    0    0   0   0
X4     0    0    0 0.29    0    0    0    0    0    0    0    0    0   0   0
X5     0    0    0    0 0.29    0    0    0    0    0    0    0    0   0   0
X6     0    0    0    0    0 0.29    0    0    0    0    0    0    0   0   0
Y7     0    0    0    0    0    0 0.31    0    0    0    0    0    0   0   0
Y8     0    0    0    0    0    0    0 0.31    0    0    0    0    0   0   0
Y9     0    0    0    0    0    0    0    0 0.31    0    0    0    0   0   0
Y10    0    0    0    0    0    0    0    0    0 0.31    0    0    0   0   0
Y11    0    0    0    0    0    0    0    0    0    0 0.31    0    0   0   0
Y12    0    0    0    0    0    0    0    0    0    0    0 0.31    0   0   0
y0     0    0    0    0    0    0    0    0    0    0    0    0 0.53   0   0
dy2    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dy3    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dy4    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dy5    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dy6    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
ys     0    0    0    0    0    0    0    0    0    0    0    0 0.23   0   0
y1     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
y2     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
y3     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
y4     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
y5     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
y6     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x0     0    0    0    0    0    0    0    0    0    0    0    0 0.40   0   0
dx2    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dx3    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dx4    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dx5    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
dx6    0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
xs     0    0    0    0    0    0    0    0    0    0    0    0 0.21   0   0
x1     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x2     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x3     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x4     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x5     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
x6     0    0    0    0    0    0    0    0    0    0    0    0    0   0   0
    dy4 dy5 dy6   ys y1 y2 y3 y4 y5 y6   x0 dx2 dx3 dx4 dx5 dx6   xs x1 x2 x3
X1    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
X2    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
X3    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
X4    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
X5    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
X6    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y7    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y8    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y9    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y10   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y11   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
Y12   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y0    0   0   0 0.23  0  0  0  0  0  0 0.40   0   0   0   0   0 0.21  0  0  0
dy2   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dy3   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dy4   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dy5   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dy6   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
ys    0   0   0 0.19  0  0  0  0  0  0 0.49   0   0   0   0   0 0.24  0  0  0
y1    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y2    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y3    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y4    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y5    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
y6    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x0    0   0   0 0.49  0  0  0  0  0  0 0.63   0   0   0   0   0 0.35  0  0  0
dx2   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dx3   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dx4   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dx5   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
dx6   0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
xs    0   0   0 0.24  0  0  0  0  0  0 0.35   0   0   0   0   0 0.37  0  0  0
x1    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x2    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x3    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x4    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x5    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
x6    0   0   0    0  0  0  0  0  0  0    0   0   0   0   0   0    0  0  0  0
    x4 x5 x6
X1   0  0  0
X2   0  0  0
X3   0  0  0
X4   0  0  0
X5   0  0  0
X6   0  0  0
Y7   0  0  0
Y8   0  0  0
Y9   0  0  0
Y10  0  0  0
Y11  0  0  0
Y12  0  0  0
y0   0  0  0
dy2  0  0  0
dy3  0  0  0
dy4  0  0  0
dy5  0  0  0
dy6  0  0  0
ys   0  0  0
y1   0  0  0
y2   0  0  0
y3   0  0  0
y4   0  0  0
y5   0  0  0
y6   0  0  0
x0   0  0  0
dx2  0  0  0
dx3  0  0  0
dx4  0  0  0
dx5  0  0  0
dx6  0  0  0
xs   0  0  0
x1   0  0  0
x2   0  0  0
x3   0  0  0
x4   0  0  0
x5   0  0  0
x6   0  0  0

RAMpath documentation built on May 2, 2019, 9:12 a.m.