R version 4.4.1 (2024-06-14 ucrt) -- "Race for Your Life"
Copyright (C) 2024 The R Foundation for Statistical Computing
Platform: x86_64-w64-mingw32/x64

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Type 'license()' or 'licence()' for distribution details.

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Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

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> ############################################################################
> #     MLwiN User Manual
> #
> # 11  Fitting an Ordered Category Response Model . . . . . . . . . . . . 161
> #
> #     Rasbash, J., Steele, F., Browne, W. J. and Goldstein, H. (2012).
> #     A User's Guide to MLwiN, v2.26. Centre for Multilevel Modelling,
> #     University of Bristol.
> ############################################################################
> #     R script to replicate all analyses using R2MLwiN
> #
> #     Zhang, Z., Charlton, C., Parker, R, Leckie, G., and Browne, W.J.
> #     Centre for Multilevel Modelling, 2012
> #     http://www.bristol.ac.uk/cmm/software/R2MLwiN/
> ############################################################################
> 
> library(R2MLwiN)

R2MLwiN: A package to run models implemented in MLwiN from R
Copyright 2013-2024 Zhengzheng Zhang, Christopher M. J. Charlton, Richard M. A. Parker, William J. Browne and George Leckie

Support provided by the Economic and Social Research Council (ESRC)
(Grants RES-149-25-1084, RES-576-25-0032 and ES/K007246/1)

To cite R2MLwiN in publications use:

  Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton,
  George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run
  MLwiN from within R. Journal of Statistical Software, 72(10), 1-43.
  doi:10.18637/jss.v072.i10

A BibTeX entry for LaTeX users is

  @Article{,
    title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}},
    author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne},
    journal = {Journal of Statistical Software},
    year = {2016},
    volume = {72},
    number = {10},
    pages = {1--43},
    doi = {10.18637/jss.v072.i10},
  }

The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.11/
To change this use: options(MLwiN_path="<path to MLwiN>")
> # MLwiN folder
> mlwin <- getOption("MLwiN_path")
> while (!file.access(mlwin, mode = 1) == 0) {
+   cat("Please specify the root MLwiN folder or the full path to the MLwiN executable:\n")
+   mlwin <- scan(what = character(0), sep = "\n")
+   mlwin <- gsub("\\", "/", mlwin, fixed = TRUE)
+ }
> options(MLwiN_path = mlwin)
> 
> 
> # 11.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . .161
> 
> data(alevchem, package = "R2MLwiN")
> summary(alevchem)
      lea            estab          pupil        a_point    gcse_tot    
 Min.   :203.0   Min.   :4001   Min.   :  1650   F:429   Min.   :22.00  
 1st Qu.:802.0   1st Qu.:4259   1st Qu.: 66172   E:289   1st Qu.:47.00  
 Median :903.0   Median :5423   Median :112453   D:311   Median :54.00  
 Mean   :777.1   Mean   :5974   Mean   :106870   C:367   Mean   :54.42  
 3rd Qu.:919.0   3rd Qu.:8001   3rd Qu.:145998   B:407   3rd Qu.:62.00  
 Max.   :938.0   Max.   :8603   Max.   :194909   A:363   Max.   :92.00  
    gcse_no            cons      gender    
 Min.   : 5.000   Min.   :1   male  :1223  
 1st Qu.: 8.000   1st Qu.:1   female: 943  
 Median : 9.000   Median :1                
 Mean   : 8.808   Mean   :1                
 3rd Qu.: 9.000   3rd Qu.:1                
 Max.   :12.000   Max.   :1                
> 
> # 11.2 An analysis using the traditional approach . . . . . . . . . . . .162
> 
> if (!require(lattice)) {
+   warning("package lattice required to run this example")
+ } else {
+   histogram(as.integer(alevchem$a_point))
+ }
Loading required package: lattice
> 
> a_point_rank <- rank(alevchem$a_point)
> a_point_uniform <- (a_point_rank - 0.5)/length(a_point_rank)
> 
> alevchem$alevelnormal <- qnorm(a_point_uniform)
> 
> (mymodel1 <- runMLwiN(alevelnormal ~ 1 + (1 | pupil), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
NEXT
iteration 2

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  IGLS        Elapsed time : 0.07s 
Number of obs:  2166 (from total 2166)        The model converged after 3 iterations.
Log likelihood:      -2816.9 
Deviance statistic:  5633.7 
--------------------------------------------------------------------------------------------------- 
The model formula:
alevelnormal ~ 1 + (1 | pupil)
Level 1: pupil      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
              Coef.   Std. Err.      z   Pr(>|z|)         [95% Conf.   Interval] 
Intercept   0.00279     0.01909   0.15     0.8838           -0.03462     0.04020 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the pupil level: 
                  Coef.   Std. Err. 
var_Intercept   0.78907     0.02398 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> alevchem$gcseav <- alevchem$gcse_tot/alevchem$gcse_no
> 
> gcseav_rank <- rank(alevchem$gcseav)
> gcseav_uniform <- (gcseav_rank - 0.5)/length(gcseav_rank)
> 
> alevchem$gcseavnormal <- qnorm(gcseav_uniform)
> 
> (mymodel2 <- runMLwiN(alevelnormal ~ 1 + gender + gcseavnormal + I(gcseavnormal^2) + I(gcseavnormal^3) + (1 | pupil),
+  data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
NEXT
iteration 2

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  IGLS        Elapsed time : 0.08s 
Number of obs:  2166 (from total 2166)        The model converged after 3 iterations.
Log likelihood:      -1984.4 
Deviance statistic:  3968.9 
--------------------------------------------------------------------------------------------------- 
The model formula:
alevelnormal ~ 1 + gender + gcseavnormal + I(gcseavnormal^2) + 
    I(gcseavnormal^3) + (1 | pupil)
Level 1: pupil      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                       Coef.   Std. Err.       z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept            0.07748     0.01979    3.92     9.01e-05   ***      0.03870     0.11626 
genderfemale        -0.24626     0.02665   -9.24     2.47e-20   ***     -0.29849    -0.19402 
gcseavnormal         0.78683     0.02126   37.01   7.168e-300   ***      0.74516     0.82849 
I(gcseavnormal^2)    0.03250     0.00928    3.50    0.0004627   ***      0.01431     0.05069 
I(gcseavnormal^3)   -0.04562     0.00558   -8.17        3e-16   ***     -0.05656    -0.03468 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the pupil level: 
                  Coef.   Std. Err. 
var_Intercept   0.36585     0.01112 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel3 <- runMLwiN(alevelnormal ~ 1 + gender + gcseavnormal + I(gcseavnormal^2) + (1 | pupil), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
NEXT
iteration 2

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  IGLS        Elapsed time : 0.06s 
Number of obs:  2166 (from total 2166)        The model converged after 3 iterations.
Log likelihood:      -2017.3 
Deviance statistic:  4034.7 
--------------------------------------------------------------------------------------------------- 
The model formula:
alevelnormal ~ 1 + gender + gcseavnormal + I(gcseavnormal^2) + 
    (1 | pupil)
Level 1: pupil      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                       Coef.   Std. Err.       z    Pr(>|z|)         [95% Conf.   Interval] 
Intercept            0.07142     0.02008    3.56   0.0003744   ***      0.03207     0.11076 
genderfemale        -0.23551     0.02703   -8.71    2.93e-18   ***     -0.28849    -0.18254 
gcseavnormal         0.65070     0.01341   48.51           0   ***      0.62441     0.67700 
I(gcseavnormal^2)    0.03407     0.00942    3.62   0.0002985   ***      0.01561     0.05254 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the pupil level: 
                  Coef.   Std. Err. 
var_Intercept   0.37713     0.01146 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel4 <- runMLwiN(alevelnormal ~ 1 + gender + (1 | pupil), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
NEXT
iteration 2

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  IGLS        Elapsed time : 0.06s 
Number of obs:  2166 (from total 2166)        The model converged after 3 iterations.
Log likelihood:      -2816.8 
Deviance statistic:  5633.7 
--------------------------------------------------------------------------------------------------- 
The model formula:
alevelnormal ~ 1 + gender + (1 | pupil)
Level 1: pupil      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                  Coef.   Std. Err.       z   Pr(>|z|)         [95% Conf.   Interval] 
Intercept       0.00647     0.02540    0.25     0.7989           -0.04331     0.05625 
genderfemale   -0.00846     0.03850   -0.22     0.8262           -0.08391     0.06699 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the pupil level: 
                  Coef.   Std. Err. 
var_Intercept   0.78905     0.02398 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel5 <- runMLwiN(gcseavnormal ~ 1 + gender + (1 | pupil), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
NEXT
iteration 2

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  IGLS        Elapsed time : 0.07s 
Number of obs:  2166 (from total 2166)        The model converged after 3 iterations.
Log likelihood:      -3037.8 
Deviance statistic:  6075.7 
--------------------------------------------------------------------------------------------------- 
The model formula:
gcseavnormal ~ 1 + gender + (1 | pupil)
Level 1: pupil      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                  Coef.   Std. Err.       z    Pr(>|z|)         [95% Conf.   Interval] 
Intercept      -0.15269     0.02813   -5.43   5.695e-08   ***     -0.20782    -0.09756 
genderfemale    0.35037     0.04263    8.22   2.056e-16   ***      0.26682     0.43393 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the pupil level: 
                  Coef.   Std. Err. 
var_Intercept   0.96767     0.02940 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 11.3 A single-level model with an ordered categorical response variable 166
> 
> (mymodel6 <- runMLwiN(logit(a_point, cons, 6) ~ 1, D = "Ordered Multinomial", data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
Estimation algorithm:  IGLS MQL1        Elapsed time : 0.34s 
Number of obs:  2166 (from total 2166)        The model converged after 4 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1
Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                 Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F   -1.39844     0.05377   -26.01   4.274e-149   ***     -1.50383    -1.29304 
Intercept_E   -0.70147     0.04564   -15.37    2.671e-53   ***     -0.79093    -0.61201 
Intercept_D   -0.09981     0.04303    -2.32      0.02036   *       -0.18414    -0.01547 
Intercept_C    0.59498     0.04489    13.25    4.258e-40   ***      0.50699     0.68296 
Intercept_B    1.60280     0.05743    27.91   2.075e-171   ***      1.49024     1.71535 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 11.4 A two-level model . . . . . . . . . . . . . . . . . . . . . . . . 171
> 
> # Note: Establishment codes on their own do not uniquely identify schools.  Schools are instead uniquely
> # identified by LEA code, establishment ID combination. Thus, here we generated a unique school ID.
> 
> alevchem$school <- as.numeric(factor(paste0(alevchem$lea, alevchem$estab)))
> 
> (mymodel7 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + (1[1:5] | school), D = "Ordered Multinomial", data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS MQL1        Elapsed time : 0.33s 
Number of obs:  2166 (from total 2166)        The model converged after 5 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + (1[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                 Coef.   Std. Err.        z    Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F   -1.09382     0.08266   -13.23   5.646e-40   ***     -1.25582    -0.93181 
Intercept_E   -0.41014     0.07938    -5.17   2.385e-07   ***     -0.56573    -0.25455 
Intercept_D    0.17955     0.07898     2.27     0.02301   *        0.02475     0.33435 
Intercept_C    0.86226     0.08118    10.62   2.357e-26   ***      0.70316     1.02136 
Intercept_B    1.85928     0.09128    20.37   3.173e-92   ***      1.68037     2.03819 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                        Coef.   Std. Err. 
var_Intercept_12345   0.73827     0.11549 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel8 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + (1[1:5] | school), D = "Ordered Multinomial", estoptions = list(nonlinear = c(N = 1, 
+   M = 2)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4
iteration 5
iteration 6
iteration 7

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 0.81s 
Number of obs:  2166 (from total 2166)        The model converged after 8 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + (1[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                 Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F   -1.37227     0.10317   -13.30    2.279e-40   ***     -1.57448    -1.17007 
Intercept_E   -0.48099     0.09828    -4.89     9.88e-07   ***     -0.67362    -0.28836 
Intercept_D    0.29402     0.09767     3.01     0.002609   **       0.10259     0.48545 
Intercept_C    1.17129     0.10013    11.70    1.309e-31   ***      0.97504     1.36755 
Intercept_B    2.39154     0.10993    21.76   6.109e-105   ***      2.17609     2.60700 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                        Coef.   Std. Err. 
var_Intercept_12345   1.32989     0.17842 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel9 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + (1[1:5] | school), D = "Ordered Multinomial", 
+   estoptions = list(nonlinear = c(N = 1, M = 2)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4
iteration 5
iteration 6
iteration 7
iteration 8
iteration 9
iteration 10

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 1.14s 
Number of obs:  2166 (from total 2166)        The model converged after 11 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + (1[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                        Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F          -2.29255     0.10028   -22.86   1.148e-115   ***     -2.48910    -2.09600 
Intercept_E          -1.09169     0.08956   -12.19    3.556e-34   ***     -1.26723    -0.91615 
Intercept_D          -0.01945     0.08639    -0.23       0.8219           -0.18877     0.14987 
Intercept_C           1.21316     0.08994    13.49    1.826e-41   ***      1.03688     1.38944 
Intercept_B           2.94351     0.10771    27.33   1.943e-164   ***      2.73241     3.15462 
gcseavnormal_12345   -2.03916     0.06507   -31.34   1.493e-215   ***     -2.16670    -1.91162 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                        Coef.   Std. Err. 
var_Intercept_12345   0.71686     0.11787 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel10 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + gcseavnormal + (1[1:5] | school), D = "Ordered Multinomial", 
+   estoptions = list(nonlinear = c(N = 1, M = 2)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2

V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 8 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 24 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 70 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 133 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 156 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 166 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 181 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 189 - reconstruction used
 
V has gone -ve definite for block 199 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 218 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 8 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 24 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 70 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 133 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 156 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 166 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 181 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 189 - reconstruction used
 
V has gone -ve definite for block 199 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 218 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 8 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 24 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
V has gone -ve definite for block 70 - reconstruction used
 
V has gone -ve definite for block 72 - reconstruction used
 
V has gone -ve definite for block 73 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 78 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 80 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 84 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 87 - reconstruction used
 
V has gone -ve definite for block 99 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 101 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 105 - reconstruction used
 
V has gone -ve definite for block 107 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 111 - reconstruction used
 
V has gone -ve definite for block 114 - reconstruction used
 
V has gone -ve definite for block 118 - reconstruction used
 
V has gone -ve definite for block 122 - reconstruction used
 
V has gone -ve definite for block 123 - reconstruction used
 
V has gone -ve definite for block 124 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 126 - reconstruction used
 
V has gone -ve definite for block 133 - reconstruction used
 
V has gone -ve definite for block 137 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 138 - reconstruction used
 
V has gone -ve definite for block 139 - reconstruction used
 
V has gone -ve definite for block 145 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 152 - reconstruction used
 
V has gone -ve definite for block 156 - reconstruction used
 
V has gone -ve definite for block 162 - reconstruction used
 
V has gone -ve definite for block 166 - reconstruction used
 
V has gone -ve definite for block 168 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 175 - reconstruction used
 
V has gone -ve definite for block 181 - reconstruction used
 
V has gone -ve definite for block 184 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 187 - reconstruction used
 
V has gone -ve definite for block 189 - reconstruction used
 
V has gone -ve definite for block 199 - reconstruction used
 
V has gone -ve definite for block 200 - reconstruction used
 
V has gone -ve definite for block 207 - reconstruction used
 
V has gone -ve definite for block 218 - reconstruction used
 
V has gone -ve definite for block 219 - reconstruction used
 
V has gone -ve definite for block 0 - reconstruction used
 
V has gone -ve definite for block 8 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 9 - reconstruction used
 
V has gone -ve definite for block 14 - reconstruction used
 
V has gone -ve definite for block 17 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 20 - reconstruction used
 
V has gone -ve definite for block 24 - reconstruction used
 
V has gone -ve definite for block 31 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 34 - reconstruction used
 
V has gone -ve definite for block 35 - reconstruction used
 
V has gone -ve definite for block 36 - reconstruction used
 
V has gone -ve definite for block 40 - reconstruction used
 
V has gone -ve definite for block 44 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 45 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 47 - reconstruction used
 
V has gone -ve definite for block 50 - reconstruction used
 
V has gone -ve definite for block 53 - reconstruction used
 
V has gone -ve definite for block 65 - reconstruction used
 
V has gone -ve definite for block 69 - reconstruction used
 
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 iteration 3

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V has gone -ve definite for block 219 - reconstruction used
 iteration 4
iteration 5
iteration 6
iteration 7
iteration 8
iteration 9
iteration 10
iteration 11

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 1.37s 
Number of obs:  2166 (from total 2166)        The model converged after 12 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + gcseavnormal + (1[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                    Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F      -2.23672     0.11609   -19.27    1.007e-82   ***     -2.46425    -2.00919 
Intercept_E      -1.05371     0.09340   -11.28     1.62e-29   ***     -1.23677    -0.87064 
Intercept_D       0.01038     0.08695     0.12       0.9049           -0.16003     0.18080 
Intercept_C       1.25125     0.09404    13.31    2.146e-40   ***      1.06694     1.43556 
Intercept_B       3.20018     0.14390    22.24    1.45e-109   ***      2.91813     3.48222 
gcseavnormal_F   -1.94226     0.10273   -18.91    1.011e-79   ***     -2.14361    -1.74092 
gcseavnormal_E   -1.94537     0.09040   -21.52   1.015e-102   ***     -2.12255    -1.76819 
gcseavnormal_D   -1.92940     0.08652   -22.30   3.692e-110   ***     -2.09898    -1.75983 
gcseavnormal_C   -2.02321     0.09188   -22.02   1.891e-107   ***     -2.20330    -1.84312 
gcseavnormal_B   -2.34177     0.12349   -18.96    3.432e-80   ***     -2.58380    -2.09973 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                        Coef.   Std. Err. 
var_Intercept_12345   0.70920     0.11707 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel11 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + I(gcseavnormal^2)[1:5] + (1[1:5] | school),
+  D = "Ordered Multinomial", estoptions = list(nonlinear = c(N = 1, M = 2)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4
iteration 5
iteration 6
iteration 7
iteration 8
iteration 9

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 1.09s 
Number of obs:  2166 (from total 2166)        The model converged after 10 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + 
    I(gcseavnormal^2)[1:5] + (1[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                             Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F               -2.49152     0.11563   -21.55   5.647e-103   ***     -2.71815    -2.26489 
Intercept_E               -1.30849     0.10357   -12.63    1.372e-36   ***     -1.51148    -1.10550 
Intercept_D               -0.23061     0.09920    -2.32      0.02008   *       -0.42503    -0.03619 
Intercept_C                1.03769     0.10241    10.13    3.969e-24   ***      0.83696     1.23842 
Intercept_B                2.87813     0.12466    23.09   6.243e-118   ***      2.63379     3.12247 
gcseavnormal_12345        -2.18918     0.06891   -31.77    1.73e-221   ***     -2.32424    -2.05412 
genderfemale_12345         0.74277     0.09417     7.89    3.084e-15   ***      0.55820     0.92735 
I(gcseavnormal^2)_12345   -0.23764     0.04455    -5.33    9.596e-08   ***     -0.32496    -0.15032 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                        Coef.   Std. Err. 
var_Intercept_12345   0.66699     0.11193 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> (mymodel12 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + I(gcseavnormal^2)[1:5] + (1[1:5] + gcseavnormal[1:5] | school),
+  D = "Ordered Multinomial", estoptions = list(nonlinear = c(N = 1, M = 2), startval = list(FP.b = mymodel11@FP, 
+   FP.v = mymodel11@FP.cov, RP.b = mymodel11@RP, RP.v = mymodel11@RP.cov)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
JOIN -2.49151925200167 -1.30849192175647 -0.230609423177079 1.03768941461926 2.87813064357528 -2.1891800057869 0.742772829383256 -0.237639010072097 '_FP_b'
JOIN 0.0133707010561911 0.0100698577745065 0.0107265952217868 0.00839131118415635 0.0087341721539345 0.00983985017345386 0.0071852995861948 0.00748383076869353 0.00827932240845671 0.0104884834999581 0.00630409197455969 0.00669449341409377 0.0075224552317277 0.00937568467156292 0.0155411415776731 0.00297305854607278 0.00207500667194473 0.00111091252755147 -0.000169283447524993 -0.00211037259961808 0.0047484619179859 -0.00483199686410059 -0.00447884434570599 -0.00413101773913304 -0.00370753196355913 -0.00312771228775965 -0.00186411948860604 0.00886827297617633 -0.00146161062352187 -0.00116883010273691 -0.0011170391665958 -0.001365584856497 -0.00225034379756666 0.000572375824357903 -5.27967327380932e-05 0.00198469620694617 '_FP_v'
JOIN 0 0 0.66698959266933 1 '_RP_b'
JOIN 0 0 0 0 0 0.0125276541154032 0 0 0 0 '_RP_v'
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4
iteration 5
iteration 6
iteration 7
iteration 8
iteration 9
iteration 10
iteration 11

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 1.53s 
Number of obs:  2166 (from total 2166)        The model converged after 12 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + 
    I(gcseavnormal^2)[1:5] + (1[1:5] + gcseavnormal[1:5] | school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                             Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F               -2.53796     0.11735   -21.63       1e-103   ***     -2.76796    -2.30795 
Intercept_E               -1.32396     0.10459   -12.66    9.969e-37   ***     -1.52894    -1.11897 
Intercept_D               -0.22828     0.10002    -2.28      0.02248   *       -0.42432    -0.03224 
Intercept_C                1.05673     0.10336    10.22     1.55e-24   ***      0.85415     1.25931 
Intercept_B                2.93800     0.12704    23.13   2.512e-118   ***      2.68901     3.18700 
gcseavnormal_12345        -2.25166     0.08253   -27.28   7.016e-164   ***     -2.41342    -2.08989 
genderfemale_12345         0.74573     0.09535     7.82    5.235e-15   ***      0.55885     0.93261 
I(gcseavnormal^2)_12345   -0.22513     0.04912    -4.58    4.578e-06   ***     -0.32140    -0.12886 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                                           Coef.   Std. Err. 
var_gcseavnormal_12345                   0.21431     0.07950 
cov_gcseavnormal_12345_Intercept_12345   0.05428     0.06761 
var_Intercept_12345                      0.65859     0.11630 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> invlogit <- function(x) exp(x)/(1 + exp(x))
> 
> invlogit(mymodel12@FP["FP_Intercept_F"])
FP_Intercept_F 
    0.07323982 
> 
> invlogit(mymodel12@FP["FP_Intercept_E"])
FP_Intercept_E 
     0.2101608 
> 
> invlogit(mymodel12@FP["FP_Intercept_D"])
FP_Intercept_D 
     0.4431776 
> 
> invlogit(mymodel12@FP["FP_Intercept_C"])
FP_Intercept_C 
     0.7420651 
> 
> invlogit(mymodel12@FP["FP_Intercept_B"])
FP_Intercept_B 
     0.9496935 
> 
> invlogit(mymodel12@FP["FP_Intercept_F"] + mymodel12@FP["FP_gcseavnormal_12345"])
FP_Intercept_F 
   0.008247098 
> 
> invlogit(mymodel12@FP["FP_Intercept_E"] + mymodel12@FP["FP_gcseavnormal_12345"])
FP_Intercept_E 
    0.02723569 
> 
> invlogit(mymodel12@FP["FP_Intercept_D"] + mymodel12@FP["FP_gcseavnormal_12345"])
FP_Intercept_D 
      0.077277 
> 
> invlogit(mymodel12@FP["FP_Intercept_C"] + mymodel12@FP["FP_gcseavnormal_12345"])
FP_Intercept_C 
     0.2323789 
> 
> invlogit(mymodel12@FP["FP_Intercept_B"] + mymodel12@FP["FP_gcseavnormal_12345"])
FP_Intercept_B 
     0.6651539 
> 
> (mymodel13 <- runMLwiN(logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + I(gcseavnormal^2)[1:5] + (1[1:5] + gcseavnormal[1:5] + gender[1:5] | school),
+  D = "Ordered Multinomial", estoptions = list(nonlinear = c(N = 1, M = 2), startval = list(FP.b = mymodel12@FP, 
+   FP.v = mymodel12@FP.cov, RP.b = mymodel12@RP, RP.v = mymodel12@RP.cov)), data = alevchem))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
JOIN -2.53795553500274 -1.32395655329939 -0.228275659802407 1.0567297585535 2.93800450506876 -2.25165706108741 0.745730259422644 -0.225128517155073 '_FP_b'
JOIN 0.0137712684238937 0.010274934809184 0.0109381695657136 0.00852223560994445 0.00887282091108815 0.0100045125829718 0.00725957561565565 0.00757891198662552 0.00840195665731901 0.0106830074697652 0.00632080740084703 0.00674936413029105 0.00762344900804181 0.009565390378012 0.0161394544301811 0.00359869129595539 0.0025954990334822 0.00156177324557199 0.00021611593535914 -0.00185784350270411 0.00681185303114811 -0.00499637635269901 -0.00462058811561032 -0.00424841163226089 -0.00379194525260463 -0.00317194544142362 -0.0019549248668753 0.00909126095985585 -0.00150715941698443 -0.00119453551650622 -0.00113534561851497 -0.00138837349729907 -0.00234928348848111 0.000758478349031761 -6.11669980052443e-05 0.00241276891133626 '_FP_v'
JOIN 0.21431231793329 0 0 0.0542846980620451 0 0.658585070354844 1 '_RP_b'
JOIN 0.00632099137726559 0 0 0 0 0 0.000908897126394028 0 0 0.00457114733694438 0 0 0 0 0 -0.000676925584474623 0 0 0.0013046242517152 0 0.0135245379670239 0 0 0 0 0 0 0 '_RP_v'
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3
iteration 4
iteration 5
iteration 6
iteration 7
iteration 8
iteration 9
iteration 10
iteration 11
iteration 12
iteration 13
iteration 14
iteration 15

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Multinomial) 
         N min     mean max N_complete min_complete mean_complete max_complete
school 220   1 9.845455  94        220            1      9.845455           94
Estimation algorithm:  IGLS PQL2        Elapsed time : 3.06s 
Number of obs:  2166 (from total 2166)        The model converged after 16 iterations.
Log likelihood:      NA 
Deviance statistic:  NA 
--------------------------------------------------------------------------------------------------- 
The model formula:
logit(a_point, cons, 6) ~ 1 + gcseavnormal[1:5] + gender[1:5] + 
    I(gcseavnormal^2)[1:5] + (1[1:5] + gcseavnormal[1:5] + gender[1:5] | 
    school)
Level 2: school     Level 1: l1id      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                             Coef.   Std. Err.        z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept_F               -2.59698     0.11997   -21.65   6.406e-104   ***     -2.83211    -2.36185 
Intercept_E               -1.35979     0.10665   -12.75    3.101e-37   ***     -1.56881    -1.15076 
Intercept_D               -0.24515     0.10183    -2.41      0.01607   *       -0.44473    -0.04556 
Intercept_C                1.05910     0.10518    10.07    7.564e-24   ***      0.85294     1.26525 
Intercept_B                2.96077     0.12936    22.89   6.111e-116   ***      2.70723     3.21431 
gcseavnormal_12345        -2.28492     0.08205   -27.85   1.092e-170   ***     -2.44573    -2.12411 
genderfemale_12345         0.78262     0.11088     7.06    1.687e-12   ***      0.56530     0.99994 
I(gcseavnormal^2)_12345   -0.22776     0.04930    -4.62    3.848e-06   ***     -0.32439    -0.13112 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                                               Coef.   Std. Err. 
var_gcseavnormal_12345                       0.18135     0.07811 
cov_gcseavnormal_12345_genderfemale_12345    0.03744     0.08646 
var_genderfemale_12345                       0.32472     0.18658 
cov_gcseavnormal_12345_Intercept_12345       0.01474     0.07523 
cov_genderfemale_12345_Intercept_12345      -0.05144     0.12776 
var_Intercept_12345                          0.66330     0.14500 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the l1id level: 
             Coef.   Std. Err. 
bcons_1    1.00000     0.00000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> 
> # Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . .180
> 
> ############################################################################
> 
> proc.time()
   user  system elapsed 
   4.70    0.92   17.96