First explain the model using 2016-17 immunisation data at postcode level, then build 2015-16 immunisation data at postcode level

We are trying to answer the question: Do geographic location, socio-economics, political affiliation or government funding have a relationship with immunisation coverage?

We will do this by using SEM on two years of postcode-level immunisation data to either confirm or deny whether a relationship exists.

Latent variables % immunisation - this is confusing because this is a manifest variable when used as pc_immun_class , but also a constructed latent variable as it’s the ‘target’ of interest. x =immunisation coverage (as measured by manifest variables of PC immun code
y = geo (Geographic areas or clusters, as measured by state, postcode, sa3, electorate) z = socio-economics (as measured by SEIFA score and mean tax) p = political (as measured by political score) f = funding (as measured by immunisation per person in that postcode or sa3)

 #read in the data for 2016 only
Data <-read.csv('../cleaned_data/2016_data_REDUCED.csv')
str(Data)
## 'data.frame':    7474 obs. of  18 variables:
##  $ postcode             : int  800 800 800 810 810 810 812 812 812 820 ...
##  $ state                : Factor w/ 12 levels "ACT","NSW","NSW/ACT",..: 6 6 6 6 6 6 6 6 6 6 ...
##  $ year                 : int  2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 ...
##  $ age                  : int  1 2 5 5 1 2 1 5 2 2 ...
##  $ pc_immun             : Factor w/ 9 levels "<70.0","70.0-74.9",..: 6 3 6 6 7 6 6 7 5 4 ...
##  $ caution              : int  1 1 1 0 0 0 0 0 0 0 ...
##  $ pc_immun_class       : int  6 3 6 6 7 6 6 7 5 4 ...
##  $ PHN_code             : Factor w/ 31 levels "PHN101","PHN102",..: 30 30 30 30 30 30 30 30 30 30 ...
##  $ PHN_number           : int  701 701 701 701 701 701 701 701 701 701 ...
##  $ IEO_SCORE            : int  1089 1089 1089 1045 1045 1045 997 997 997 1085 ...
##  $ IER_SCORE            : int  946 946 946 1014 1014 1014 1013 1013 1013 1011 ...
##  $ IRSAD_SCORE          : int  1096 1096 1096 1052 1052 1052 1020 1020 1020 1094 ...
##  $ IRSD_SCORE           : int  1066 1066 1066 1037 1037 1037 1013 1013 1013 1073 ...
##  $ SEIFA_URP            : int  6464 6464 6464 33302 33302 33302 18873 18873 18873 19447 ...
##  $ electorate           : Factor w/ 150 levels "Adelaide","Aston",..: 136 136 136 136 136 136 136 136 136 136 ...
##  $ mean_tax_000s        : num  71.3 71.3 71.3 64.7 64.7 ...
##  $ political_score      : num  4 4 4 4 4 4 4 4 4 4 ...
##  $ govt_funds_per_person: Factor w/ 2229 levels "#VALUE!","100",..: 837 837 837 249 249 249 1913 1913 1913 1947 ...
View(Data)
#calculate government funding per postcode
#Budget papers say the Feds spent $6.4m in 2016 on improving childhood immunisation rates
#Total population of Australia in 2016 was 24 598 900 according to the ABS
#We have the SEIFA URP which has the usual resident population per postcode
#First get per person amount
total_population <- (24598900)
total_immun_spend <- (6400000)
per_capita <- total_population/total_immun_spend
per_capita
## [1] 3.843578
#3.843578 spend per person
# Remove NA values
Data <- Data[complete.cases(Data), ]

How many postcodes are there in the 2016 set

2484 postcodes in 2016 150 electorates in 2016 31 PHNs in 2016 12 states in 2016

#count postcodes
length(unique(Data$postcode))
## [1] 2484
#count eletorates
length(unique(Data$electorate))
## [1] 150
#count PHNs
length(unique(Data$PHN_number))
## [1] 31
#count states - because there are doubles from the weird AIHW counting
length(unique(Data$state))
## [1] 12
#Need to make the factors ordered factors to work in Lavaan
Data$postcode = postcode_factor_ordered <- factor(Data$postcode, ordered = TRUE)
Data$state = state_factor_ordered <- factor(Data$state, ordered = TRUE)
Data$pc_immun = pc_immun_factor_ordered <- factor(Data$pc_immun, ordered = TRUE)
Data$PHN_code = PHN_code_factor_ordered <- factor(Data$PHN_code, ordered = TRUE)
Data$electorate = electorate_factor_ordered <- factor(Data$electorate, ordered = TRUE)
Data$govt_funds_per_person = funds_ordered <- as.numeric(Data$govt_funds_per_person)
glimpse(Data)
## Observations: 7,286
## Variables: 18
## $ postcode              <ord> 800, 800, 800, 810, 810, 810, 812, 812, ...
## $ state                 <ord> NT, NT, NT, NT, NT, NT, NT, NT, NT, NT, ...
## $ year                  <int> 2016, 2016, 2016, 2016, 2016, 2016, 2016...
## $ age                   <int> 1, 2, 5, 5, 1, 2, 1, 5, 2, 2, 5, 1, 1, 5...
## $ pc_immun              <ord> 90.0-92.4, 75.0-79.9, 90.0-92.4, 90.0-92...
## $ caution               <int> 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
## $ pc_immun_class        <int> 6, 3, 6, 6, 7, 6, 6, 7, 5, 4, 7, 6, 7, 7...
## $ PHN_code              <ord> PHN701, PHN701, PHN701, PHN701, PHN701, ...
## $ PHN_number            <int> 701, 701, 701, 701, 701, 701, 701, 701, ...
## $ IEO_SCORE             <int> 1089, 1089, 1089, 1045, 1045, 1045, 997,...
## $ IER_SCORE             <int> 946, 946, 946, 1014, 1014, 1014, 1013, 1...
## $ IRSAD_SCORE           <int> 1096, 1096, 1096, 1052, 1052, 1052, 1020...
## $ IRSD_SCORE            <int> 1066, 1066, 1066, 1037, 1037, 1037, 1013...
## $ SEIFA_URP             <int> 6464, 6464, 6464, 33302, 33302, 33302, 1...
## $ electorate            <ord> Solomon, Solomon, Solomon, Solomon, Solo...
## $ mean_tax_000s         <dbl> 71.263, 71.263, 71.263, 64.719, 64.719, ...
## $ political_score       <dbl> 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4...
## $ govt_funds_per_person <dbl> 837, 837, 837, 249, 249, 249, 1913, 1913...
#filter just by 5 year olds - as the per capita info in spreadsheet is duplicating by age group
Five_Data = Data%>%
  filter(age == 5) 

  
str(Five_Data)
## 'data.frame':    2434 obs. of  18 variables:
##  $ postcode             : Ord.factor w/ 2484 levels "800"<"810"<"812"<..: 1 2 3 4 5 6 7 8 9 10 ...
##  $ state                : Ord.factor w/ 12 levels "ACT"<"NSW"<"NSW/ACT"<..: 6 6 6 6 6 6 6 6 6 6 ...
##  $ year                 : int  2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 ...
##  $ age                  : int  5 5 5 5 5 5 5 5 5 5 ...
##  $ pc_immun             : Ord.factor w/ 9 levels "<70.0"<"70.0-74.9"<..: 6 6 7 7 7 9 7 6 6 8 ...
##  $ caution              : int  1 0 0 0 0 0 0 0 1 0 ...
##  $ pc_immun_class       : int  6 6 7 7 7 0 7 6 6 8 ...
##  $ PHN_code             : Ord.factor w/ 31 levels "PHN101"<"PHN102"<..: 30 30 30 30 30 30 30 30 30 30 ...
##  $ PHN_number           : int  701 701 701 701 701 701 701 701 701 701 ...
##  $ IEO_SCORE            : int  1089 1045 997 1085 880 993 967 1006 1000 969 ...
##  $ IER_SCORE            : int  946 1014 1013 1011 658 942 990 1060 1120 1114 ...
##  $ IRSAD_SCORE          : int  1096 1052 1020 1094 754 979 997 1075 1070 1055 ...
##  $ IRSD_SCORE           : int  1066 1037 1013 1073 650 970 989 1071 1072 1049 ...
##  $ SEIFA_URP            : int  6464 33302 18873 19447 25560 1201 18207 15570 5132 7756 ...
##  $ electorate           : Ord.factor w/ 150 levels "Adelaide"<"Aston"<..: 136 136 136 136 90 136 136 136 90 90 ...
##  $ mean_tax_000s        : num  71.3 64.7 63.3 79.6 45.9 ...
##  $ political_score      : num  4 4 4 4 4 4 4 4 4 4 ...
##  $ govt_funds_per_person: num  837 249 1913 1947 2214 ...

First 2016 model - assessing a real value against the other real values (IE, not latent yet)

# single factor model imm =~ pc_immun_class + IRSAD_SCORE + political_score + govt_funds_per_person + mean_tax_000s

#let's build 2016pc.model the standard way
pc2016.model <- 'imm =~ pc_immun_class + IRSAD_SCORE + political_score + govt_funds_per_person + mean_tax_000s'
pc2016.fit <- cfa(model=pc2016.model,
                  data = Five_Data, std.lv = TRUE)
## Warning in lav_data_full(data = data, group = group, cluster = cluster, :
## lavaan WARNING: some observed variances are (at least) a factor 1000 times
## larger than others; use varTable(fit) to investigate
## Warning in lav_object_post_check(object): lavaan WARNING: some estimated ov
## variances are negative
summary(pc2016.fit, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-3 ended normally after 39 iterations
## 
##   Optimization method                           NLMINB
##   Number of free parameters                         10
## 
##   Number of observations                          2434
## 
##   Estimator                                         ML
##   Model Fit Test Statistic                     105.776
##   Degrees of freedom                                 5
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             1692.805
##   Degrees of freedom                                10
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.940
##   Tucker-Lewis Index (TLI)                       0.880
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -53841.964
##   Loglikelihood unrestricted model (H1)     -53789.076
## 
##   Number of free parameters                         10
##   Akaike (AIC)                              107703.928
##   Bayesian (BIC)                            107761.901
##   Sample-size adjusted Bayesian (BIC)       107730.128
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.091
##   90 Percent Confidence Interval          0.076  0.106
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.046
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Information saturated (h1) model          Structured
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate    Std.Err   z-value  P(>|z|)   Std.lv  
##   imm =~                                                            
##     pc_immun_class      0.775     0.077   10.013    0.000      0.775
##     IRSAD_SCORE        50.348     2.628   19.158    0.000     50.348
##     political_scor     -0.077     0.033   -2.297    0.022     -0.077
##     gvt_fnds_pr_pr     60.321    13.239    4.556    0.000     60.321
##     mean_tax_000s      16.809     0.788   21.318    0.000     16.809
##   Std.all
##          
##     0.224
##     0.664
##    -0.047
##     0.094
##     1.005
## 
## Variances:
##                    Estimate    Std.Err   z-value  P(>|z|)   Std.lv  
##    .pc_immun_class     11.380     0.331   34.425    0.000     11.380
##    .IRSAD_SCORE      3212.642   244.649   13.132    0.000   3212.642
##    .political_scor      2.702     0.077   34.885    0.000      2.702
##    .gvt_fnds_pr_pr 410281.632 11764.479   34.875    0.000 410281.632
##    .mean_tax_000s      -2.577    25.263   -0.102    0.919     -2.577
##     imm                 1.000                                  1.000
##   Std.all
##     0.950
##     0.559
##     0.998
##     0.991
##    -0.009
##     1.000
#let's look at the variance of this dataset
varTable(pc2016.fit)
##                    name idx nobs    type exo user     mean        var nlev
## 1        pc_immun_class   7 2434 numeric   0    0    4.173     11.985    0
## 2           IRSAD_SCORE  12 2434 numeric   0    0  986.465   5749.967    0
## 3       political_score  17 2434 numeric   0    0    5.095      2.709    0
## 4 govt_funds_per_person  18 2434 numeric   0    0 1103.384 414090.352    0
## 5         mean_tax_000s  16 2434 numeric   0    0   53.675    280.083    0
##   lnam
## 1     
## 2     
## 3     
## 4     
## 5
lavInspect(pc2016.fit, what="estimates")
## $lambda
##                          imm
## pc_immun_class         0.775
## IRSAD_SCORE           50.348
## political_score       -0.077
## govt_funds_per_person 60.321
## mean_tax_000s         16.809
## 
## $theta
##                       pc_mm_     IRSAD_     pltcl_     gvt___    
## pc_immun_class            11.380                                 
## IRSAD_SCORE                0.000   3212.642                      
## political_score            0.000      0.000      2.702           
## govt_funds_per_person      0.000      0.000      0.000 410281.632
## mean_tax_000s              0.000      0.000      0.000      0.000
##                       m__000    
## pc_immun_class                  
## IRSAD_SCORE                     
## political_score                 
## govt_funds_per_person           
## mean_tax_000s             -2.577
## 
## $psi
##     imm
## imm 1
semPaths(pc2016.fit, title=TRUE, exoVar = TRUE, exoCov = TRUE)

semPaths(pc2016.fit,  what = "stand", rotation = 4)

#
semCors(pc2016.fit, titles = TRUE)

 #let's build to account for missing pc immun data
pc2016.fit2 <- cfa(model=pc2016.model,
                  data = Five_Data, estimator = "MLR", missing = "ml")
## Warning in lav_data_full(data = data, group = group, cluster = cluster, :
## lavaan WARNING: some observed variances are (at least) a factor 1000 times
## larger than others; use varTable(fit) to investigate
## Warning in lav_object_post_check(object): lavaan WARNING: some estimated ov
## variances are negative
summary(pc2016.fit2, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-3 ended normally after 51 iterations
## 
##   Optimization method                           NLMINB
##   Number of free parameters                         15
## 
##   Number of observations                          2434
##   Number of missing patterns                         1
## 
##   Estimator                                         ML      Robust
##   Model Fit Test Statistic                     105.776     101.520
##   Degrees of freedom                                 5           5
##   P-value (Chi-square)                           0.000       0.000
##   Scaling correction factor                                  1.042
##     for the Yuan-Bentler correction (Mplus variant)
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             1692.805    1115.088
##   Degrees of freedom                                10          10
##   P-value                                        0.000       0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.940       0.913
##   Tucker-Lewis Index (TLI)                       0.880       0.825
## 
##   Robust Comparative Fit Index (CFI)                         0.940
##   Robust Tucker-Lewis Index (TLI)                            0.880
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -53841.964  -53841.964
##   Scaling correction factor                                  1.734
##     for the MLR correction
##   Loglikelihood unrestricted model (H1)     -53789.076  -53789.076
##   Scaling correction factor                                  1.561
##     for the MLR correction
## 
##   Number of free parameters                         15          15
##   Akaike (AIC)                              107713.928  107713.928
##   Bayesian (BIC)                            107800.887  107800.887
##   Sample-size adjusted Bayesian (BIC)       107753.229  107753.229
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.091       0.089
##   90 Percent Confidence Interval          0.076  0.106       0.075  0.104
##   P-value RMSEA <= 0.05                          0.000       0.000
## 
##   Robust RMSEA                                               0.091
##   90 Percent Confidence Interval                             0.076  0.107
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.040       0.040
## 
## Parameter Estimates:
## 
##   Information                                 Observed
##   Observed information based on                Hessian
##   Standard Errors                   Robust.huber.white
## 
## Latent Variables:
##                    Estimate    Std.Err  z-value  P(>|z|)   Std.lv  
##   imm =~                                                           
##     pc_immun_class      1.000                                 0.775
##     IRSAD_SCORE        64.955    5.147   12.621    0.000     50.348
##     political_scor     -0.099    0.061   -1.615    0.106     -0.077
##     gvt_fnds_pr_pr     77.820   15.656    4.971    0.000     60.321
##     mean_tax_000s      21.686    3.092    7.014    0.000     16.809
##   Std.all
##          
##     0.224
##     0.664
##    -0.047
##     0.094
##     1.005
## 
## Intercepts:
##                    Estimate    Std.Err  z-value  P(>|z|)   Std.lv  
##    .pc_immun_class      4.173    0.070   59.480    0.000      4.173
##    .IRSAD_SCORE       986.465    1.537  641.946    0.000    986.465
##    .political_scor      5.095    0.033  152.736    0.000      5.095
##    .gvt_fnds_pr_pr   1103.384   13.041   84.611    0.000   1103.384
##    .mean_tax_000s      53.675    0.339  158.262    0.000     53.675
##     imm                 0.000                                 0.000
##   Std.all
##     1.206
##    13.012
##     3.096
##     1.715
##     3.208
##     0.000
## 
## Variances:
##                    Estimate    Std.Err  z-value  P(>|z|)   Std.lv  
##    .pc_immun_class     11.380    0.158   71.935    0.000     11.380
##    .IRSAD_SCORE      3212.642  347.557    9.243    0.000   3212.642
##    .political_scor      2.702    0.116   23.378    0.000      2.702
##    .gvt_fnds_pr_pr 410281.636 7628.110   53.785    0.000 410281.636
##    .mean_tax_000s      -2.577   37.371   -0.069    0.945     -2.577
##     imm                 0.601    0.115    5.207    0.000      1.000
##   Std.all
##     0.950
##     0.559
##     0.998
##     0.991
##    -0.009
##     1.000
#THIS IS THE ONE TO PUBLISH AS MODEL FIT
#Let's bootstrap the model
pc2016.fit3 <- cfa(model=pc2016.model,
                  data = Five_Data, se = "bootstrap", verbose = TRUE, bootstrap = 1000)
## Warning in lav_data_full(data = data, group = group, cluster = cluster, :
## lavaan WARNING: some observed variances are (at least) a factor 1000 times
## larger than others; use varTable(fit) to investigate
## Quasi-Newton steps using NLMINB:
## Objective function  = 1.0166881031435544
## Objective function  = 0.2867231627086966
## Objective function  = 0.1531022526498234
## Objective function  = 0.0776357860488197
## Objective function  = 0.0312178394323652
## Objective function  = 0.0281607306461993
## Objective function  = 0.0273120835943246
## Objective function  = 0.0269954144078639
## Objective function  = 0.0267756853596808
## Objective function  = 0.0259536809907708
## Objective function  = 0.0246474581795404
## Objective function  = 0.0239694236687100
## Objective function  = 0.0234478974084453
## Objective function  = 0.0233481242915055
## Objective function  = 0.0232638422559717
## Objective function  = 0.0231289163456303
## Objective function  = 0.0229430889609077
## Objective function  = 0.0227408280796837
## Objective function  = 0.0225357089505600
## Objective function  = 0.0223407311577404
## Objective function  = 0.0221711646327165
## Objective function  = 0.0221178137388520
## Objective function  = 0.0220226188845274
## Objective function  = 0.0219620891379222
## Objective function  = 0.0218897960714095
## Objective function  = 0.0218546166280547
## Objective function  = 0.0218379200646588
## Objective function  = 0.0218269488756420
## Objective function  = 0.0218206000170582
## Objective function  = 0.0218129429156022
## Objective function  = 0.0218092931344280
## Objective function  = 0.0218048735948670
## Objective function  = 0.0218002499188508
## Objective function  = 0.0217947282285031
## Objective function  = 0.0217899912266191
## Objective function  = 0.0217846001301467
## Objective function  = 0.0217728166456830
## Objective function  = 0.0217615706568779
## Objective function  = 0.0217418819328650
## Objective function  = 0.0217330868238896
## Objective function  = 0.0217297350647208
## Objective function  = 0.0217291528116554
## Objective function  = 0.0217289353600094
## Objective function  = 0.0217288264538453
## Objective function  = 0.0217287795261107
## Objective function  = 0.0217287664417221
## Objective function  = 0.0217287614934278
## Objective function  = 0.0217287585929213
## Objective function  = 0.0217287571105373
## Objective function  = 0.0217287567487148
## Objective function  = 0.0217287566879492
## Objective function  = 0.0217287566864073
## Objective function  = 0.0217287566864073
## convergence status (0=ok):  0 
## nlminb message says:  relative convergence (4) 
## number of iterations:  51 
## number of function evaluations [objective, gradient]:  52 52 
## Computing VCOV for se = bootstrap ...
##   ... bootstrap draw number:    1   OK -- niter =   42  fx =    0.029982193 
##   ... bootstrap draw number:    2   OK -- niter =   42  fx =    0.029384332 
##   ... bootstrap draw number:    3   OK -- niter =   46  fx =    0.018054687 
##   ... bootstrap draw number:    4   OK -- niter =   43  fx =    0.024094823 
##   ... bootstrap draw number:    5   OK -- niter =   46  fx =    0.024348647 
##   ... bootstrap draw number:    6   OK -- niter =   46  fx =    0.023893611 
##   ... bootstrap draw number:    7   OK -- niter =   43  fx =    0.021292824 
##   ... bootstrap draw number:    8   OK -- niter =   46  fx =    0.023640633 
##   ... bootstrap draw number:    9   OK -- niter =   48  fx =    0.017592670 
##   ... bootstrap draw number:   10   OK -- niter =   43  fx =    0.027638660 
##   ... bootstrap draw number:   11   OK -- niter =   50  fx =    0.026402997 
##   ... bootstrap draw number:   12   OK -- niter =   49  fx =    0.027095849 
##   ... bootstrap draw number:   13   OK -- niter =   47  fx =    0.026910756 
##   ... bootstrap draw number:   14   OK -- niter =   53  fx =    0.024617091 
##   ... bootstrap draw number:   15   OK -- niter =   46  fx =    0.022211748 
##   ... bootstrap draw number:   16   OK -- niter =   41  fx =    0.031776607 
##   ... bootstrap draw number:   17   OK -- niter =   42  fx =    0.017727955 
##   ... bootstrap draw number:   18   OK -- niter =   44  fx =    0.018346384 
##   ... bootstrap draw number:   19   OK -- niter =   61  fx =    0.027105879 
##   ... bootstrap draw number:   20   OK -- niter =   52  fx =    0.023123475 
##   ... bootstrap draw number:   21   OK -- niter =   47  fx =    0.022047154 
##   ... bootstrap draw number:   22   OK -- niter =   59  fx =    0.022066303 
##   ... bootstrap draw number:   23   OK -- niter =   45  fx =    0.023022773 
##   ... bootstrap draw number:   24   OK -- niter =   47  fx =    0.017048090 
##   ... bootstrap draw number:   25   OK -- niter =   47  fx =    0.027010227 
##   ... bootstrap draw number:   26   OK -- niter =   43  fx =    0.025097586 
##   ... bootstrap draw number:   27   OK -- niter =   46  fx =    0.028399291 
##   ... bootstrap draw number:   28   OK -- niter =   54  fx =    0.022796773 
##   ... bootstrap draw number:   29   OK -- niter =   48  fx =    0.024925931 
##   ... bootstrap draw number:   30   OK -- niter =   48  fx =    0.018317072 
##   ... bootstrap draw number:   31   OK -- niter =   46  fx =    0.032989417 
##   ... bootstrap draw number:   32   OK -- niter =   44  fx =    0.023747637 
##   ... bootstrap draw number:   33   OK -- niter =   44  fx =    0.017307917 
##   ... bootstrap draw number:   34   OK -- niter =   45  fx =    0.021400171 
##   ... bootstrap draw number:   35   OK -- niter =   43  fx =    0.021162171 
##   ... bootstrap draw number:   36   OK -- niter =   48  fx =    0.014612214 
##   ... bootstrap draw number:   37   OK -- niter =   42  fx =    0.013774878 
##   ... bootstrap draw number:   38   OK -- niter =   53  fx =    0.019808431 
##   ... bootstrap draw number:   39   OK -- niter =   50  fx =    0.016288481 
##   ... bootstrap draw number:   40   OK -- niter =   44  fx =    0.023556173 
##   ... bootstrap draw number:   41   OK -- niter =   45  fx =    0.022998350 
##   ... bootstrap draw number:   42   OK -- niter =   43  fx =    0.021380551 
##   ... bootstrap draw number:   43   OK -- niter =   47  fx =    0.022925923 
##   ... bootstrap draw number:   44   OK -- niter =   45  fx =    0.022190647 
##   ... bootstrap draw number:   45   OK -- niter =   47  fx =    0.027332594 
##   ... bootstrap draw number:   46   OK -- niter =   47  fx =    0.022468579 
##   ... bootstrap draw number:   47   OK -- niter =   51  fx =    0.015335799 
##   ... bootstrap draw number:   48   OK -- niter =   47  fx =    0.014256009 
##   ... bootstrap draw number:   49   OK -- niter =   42  fx =    0.022597414 
##   ... bootstrap draw number:   50   OK -- niter =   45  fx =    0.019745830 
##   ... bootstrap draw number:   51   OK -- niter =   43  fx =    0.024567894 
##   ... bootstrap draw number:   52   OK -- niter =  188  fx =    0.036778471 
##   ... bootstrap draw number:   53   OK -- niter =   46  fx =    0.022398670 
##   ... bootstrap draw number:   54   OK -- niter =   43  fx =    0.032006588 
##   ... bootstrap draw number:   55   OK -- niter =   48  fx =    0.021156661 
##   ... bootstrap draw number:   56   OK -- niter =   42  fx =    0.016272245 
##   ... bootstrap draw number:   57   OK -- niter =   47  fx =    0.011176298 
##   ... bootstrap draw number:   58   OK -- niter =   44  fx =    0.025470513 
##   ... bootstrap draw number:   59   OK -- niter =   43  fx =    0.020411646 
##   ... bootstrap draw number:   60   OK -- niter =   47  fx =    0.022611200 
##   ... bootstrap draw number:   61   OK -- niter =   58  fx =    0.025683491 
##   ... bootstrap draw number:   62   OK -- niter =   47  fx =    0.019698802 
##   ... bootstrap draw number:   63   OK -- niter =   47  fx =    0.021417546 
##   ... bootstrap draw number:   64   OK -- niter =   44  fx =    0.024706439 
##   ... bootstrap draw number:   65   OK -- niter =   41  fx =    0.023703386 
##   ... bootstrap draw number:   66   OK -- niter =   45  fx =    0.022244373 
##   ... bootstrap draw number:   67   OK -- niter =   46  fx =    0.024493148 
##   ... bootstrap draw number:   68   OK -- niter =   49  fx =    0.021760268 
##   ... bootstrap draw number:   69   OK -- niter =   46  fx =    0.026972388 
##   ... bootstrap draw number:   70   OK -- niter =   48  fx =    0.014556179 
##   ... bootstrap draw number:   71   OK -- niter =   47  fx =    0.024517165 
##   ... bootstrap draw number:   72   OK -- niter =   52  fx =    0.025870059 
##   ... bootstrap draw number:   73   OK -- niter =   45  fx =    0.030357971 
##   ... bootstrap draw number:   74   OK -- niter =   48  fx =    0.019858045 
##   ... bootstrap draw number:   75   OK -- niter =   49  fx =    0.021380493 
##   ... bootstrap draw number:   76   OK -- niter =   42  fx =    0.028572569 
##   ... bootstrap draw number:   77   OK -- niter =   46  fx =    0.021112907 
##   ... bootstrap draw number:   78   OK -- niter =   45  fx =    0.026307720 
##   ... bootstrap draw number:   79   OK -- niter =   42  fx =    0.022857750 
##   ... bootstrap draw number:   80   OK -- niter =   40  fx =    0.026411133 
##   ... bootstrap draw number:   81   OK -- niter =   50  fx =    0.021519750 
##   ... bootstrap draw number:   82   OK -- niter =   46  fx =    0.021278257 
##   ... bootstrap draw number:   83   OK -- niter =   58  fx =    0.026191285 
##   ... bootstrap draw number:   84   OK -- niter =   51  fx =    0.017180759 
##   ... bootstrap draw number:   85   OK -- niter =   46  fx =    0.018447436 
##   ... bootstrap draw number:   86   OK -- niter =   51  fx =    0.027233075 
##   ... bootstrap draw number:   87   OK -- niter =   44  fx =    0.014956792 
##   ... bootstrap draw number:   88   OK -- niter =   49  fx =    0.019138559 
##   ... bootstrap draw number:   89   OK -- niter =   48  fx =    0.032661419 
##   ... bootstrap draw number:   90   OK -- niter =   44  fx =    0.021761808 
##   ... bootstrap draw number:   91   OK -- niter =   48  fx =    0.019266479 
##   ... bootstrap draw number:   92   OK -- niter =   56  fx =    0.025045980 
##   ... bootstrap draw number:   93   OK -- niter =   48  fx =    0.024892243 
##   ... bootstrap draw number:   94   OK -- niter =   45  fx =    0.022436821 
##   ... bootstrap draw number:   95   OK -- niter =   50  fx =    0.026855130 
##   ... bootstrap draw number:   96   OK -- niter =   49  fx =    0.019180605 
##   ... bootstrap draw number:   97   OK -- niter =   53  fx =    0.018299653 
##   ... bootstrap draw number:   98   OK -- niter =   44  fx =    0.024664375 
##   ... bootstrap draw number:   99   OK -- niter =   44  fx =    0.023783673 
##   ... bootstrap draw number:  100   OK -- niter =   53  fx =    0.016499351 
##   ... bootstrap draw number:  101   OK -- niter =   49  fx =    0.011473554 
##   ... bootstrap draw number:  102   OK -- niter =   48  fx =    0.022172165 
##   ... bootstrap draw number:  103   OK -- niter =   42  fx =    0.019082588 
##   ... bootstrap draw number:  104   OK -- niter =   46  fx =    0.027200536 
##   ... bootstrap draw number:  105   OK -- niter =   46  fx =    0.019838468 
##   ... bootstrap draw number:  106   OK -- niter =   48  fx =    0.018939141 
##   ... bootstrap draw number:  107   OK -- niter =   49  fx =    0.027115429 
##   ... bootstrap draw number:  108   OK -- niter =   45  fx =    0.020825009 
##   ... bootstrap draw number:  109   OK -- niter =   45  fx =    0.025581218 
##   ... bootstrap draw number:  110   OK -- niter =   44  fx =    0.020316512 
##   ... bootstrap draw number:  111   OK -- niter =   43  fx =    0.019989066 
##   ... bootstrap draw number:  112   OK -- niter =   46  fx =    0.016412617 
##   ... bootstrap draw number:  113   OK -- niter =   41  fx =    0.015867154 
##   ... bootstrap draw number:  114   OK -- niter =   50  fx =    0.021039412 
##   ... bootstrap draw number:  115   OK -- niter =   49  fx =    0.019035208 
##   ... bootstrap draw number:  116   OK -- niter =   47  fx =    0.017212385 
##   ... bootstrap draw number:  117   OK -- niter =   48  fx =    0.024253714 
##   ... bootstrap draw number:  118   OK -- niter =   48  fx =    0.018858927 
##   ... bootstrap draw number:  119   OK -- niter =   46  fx =    0.021142933 
##   ... bootstrap draw number:  120   OK -- niter =   48  fx =    0.026816033 
##   ... bootstrap draw number:  121   OK -- niter =   43  fx =    0.022557792 
##   ... bootstrap draw number:  122   OK -- niter =   43  fx =    0.026271338 
##   ... bootstrap draw number:  123   OK -- niter =   55  fx =    0.019493871 
##   ... bootstrap draw number:  124   OK -- niter =   47  fx =    0.022095892 
##   ... bootstrap draw number:  125   OK -- niter =   52  fx =    0.024842061 
##   ... bootstrap draw number:  126   OK -- niter =   43  fx =    0.020241280 
##   ... bootstrap draw number:  127   OK -- niter =   49  fx =    0.021839287 
##   ... bootstrap draw number:  128   OK -- niter =   45  fx =    0.021765424 
##   ... bootstrap draw number:  129   OK -- niter =   26  fx =    0.012828980 
##   ... bootstrap draw number:  130   OK -- niter =   46  fx =    0.013515362 
##   ... bootstrap draw number:  131   OK -- niter =   42  fx =    0.034741067 
##   ... bootstrap draw number:  132   OK -- niter =   46  fx =    0.019035237 
##   ... bootstrap draw number:  133   OK -- niter =   53  fx =    0.025206171 
##   ... bootstrap draw number:  134   OK -- niter =   43  fx =    0.020261790 
##   ... bootstrap draw number:  135   OK -- niter =   53  fx =    0.023875574 
##   ... bootstrap draw number:  136   OK -- niter =   50  fx =    0.025101183 
##   ... bootstrap draw number:  137   OK -- niter =   46  fx =    0.019531643 
##   ... bootstrap draw number:  138   OK -- niter =   52  fx =    0.019982620 
##   ... bootstrap draw number:  139   OK -- niter =   43  fx =    0.031400463 
##   ... bootstrap draw number:  140   OK -- niter =   47  fx =    0.029205199 
##   ... bootstrap draw number:  141   OK -- niter =   50  fx =    0.019377641 
##   ... bootstrap draw number:  142   OK -- niter =   46  fx =    0.023956728 
##   ... bootstrap draw number:  143   OK -- niter =   46  fx =    0.018931945 
##   ... bootstrap draw number:  144   OK -- niter =   58  fx =    0.022264552 
##   ... bootstrap draw number:  145   OK -- niter =   42  fx =    0.022710189 
##   ... bootstrap draw number:  146   OK -- niter =   44  fx =    0.022431688 
##   ... bootstrap draw number:  147   OK -- niter =   48  fx =    0.022581355 
##   ... bootstrap draw number:  148   OK -- niter =   51  fx =    0.017762831 
##   ... bootstrap draw number:  149   OK -- niter =   49  fx =    0.032647767 
##   ... bootstrap draw number:  150   OK -- niter =   53  fx =    0.019998221 
##   ... bootstrap draw number:  151   OK -- niter =   51  fx =    0.017612827 
##   ... bootstrap draw number:  152   OK -- niter =   45  fx =    0.013681569 
##   ... bootstrap draw number:  153   OK -- niter =   46  fx =    0.027851723 
##   ... bootstrap draw number:  154   OK -- niter =   45  fx =    0.026388994 
##   ... bootstrap draw number:  155   OK -- niter =   49  fx =    0.023068147 
##   ... bootstrap draw number:  156   OK -- niter =   42  fx =    0.022299088 
##   ... bootstrap draw number:  157   OK -- niter =   45  fx =    0.023127189 
##   ... bootstrap draw number:  158   OK -- niter =   23  fx =    0.025824096 
##   ... bootstrap draw number:  159   OK -- niter =   42  fx =    0.024808715 
##   ... bootstrap draw number:  160   OK -- niter =   45  fx =    0.019806886 
##   ... bootstrap draw number:  161   OK -- niter =   44  fx =    0.019731264 
##   ... bootstrap draw number:  162   OK -- niter =   52  fx =    0.021027886 
##   ... bootstrap draw number:  163   OK -- niter =   47  fx =    0.023212963 
##   ... bootstrap draw number:  164   OK -- niter =   45  fx =    0.023891533 
##   ... bootstrap draw number:  165   OK -- niter =   47  fx =    0.017494031 
##   ... bootstrap draw number:  166   OK -- niter =   44  fx =    0.026106735 
##   ... bootstrap draw number:  167   OK -- niter =   43  fx =    0.023595589 
##   ... bootstrap draw number:  168   OK -- niter =   45  fx =    0.020448029 
##   ... bootstrap draw number:  169   OK -- niter =   44  fx =    0.028124098 
##   ... bootstrap draw number:  170   OK -- niter =   52  fx =    0.028017131 
##   ... bootstrap draw number:  171   OK -- niter =   45  fx =    0.028104945 
##   ... bootstrap draw number:  172   OK -- niter =   52  fx =    0.024853135 
##   ... bootstrap draw number:  173   OK -- niter =   48  fx =    0.024149470 
##   ... bootstrap draw number:  174   OK -- niter =   44  fx =    0.027876517 
##   ... bootstrap draw number:  175   OK -- niter =   48  fx =    0.021557563 
##   ... bootstrap draw number:  176   OK -- niter =   47  fx =    0.020953052 
##   ... bootstrap draw number:  177   OK -- niter =   44  fx =    0.015949309 
##   ... bootstrap draw number:  178   OK -- niter =   52  fx =    0.032406138 
##   ... bootstrap draw number:  179   OK -- niter =   42  fx =    0.022423502 
##   ... bootstrap draw number:  180   OK -- niter =   43  fx =    0.022294598 
##   ... bootstrap draw number:  181   OK -- niter =   44  fx =    0.016344643 
##   ... bootstrap draw number:  182   OK -- niter =   53  fx =    0.022936600 
##   ... bootstrap draw number:  183   OK -- niter =   50  fx =    0.021956779 
##   ... bootstrap draw number:  184   OK -- niter =   46  fx =    0.023709670 
##   ... bootstrap draw number:  185   OK -- niter =   45  fx =    0.029392422 
##   ... bootstrap draw number:  186   OK -- niter =   47  fx =    0.021092099 
##   ... bootstrap draw number:  187   OK -- niter =   45  fx =    0.025498630 
##   ... bootstrap draw number:  188   OK -- niter =   47  fx =    0.020074246 
##   ... bootstrap draw number:  189   OK -- niter =   42  fx =    0.028109698 
##   ... bootstrap draw number:  190   OK -- niter =   47  fx =    0.021762687 
##   ... bootstrap draw number:  191   OK -- niter =   45  fx =    0.021314121 
##   ... bootstrap draw number:  192   OK -- niter =   49  fx =    0.025886428 
##   ... bootstrap draw number:  193   OK -- niter =   49  fx =    0.023913106 
##   ... bootstrap draw number:  194   OK -- niter =   54  fx =    0.026085207 
##   ... bootstrap draw number:  195   OK -- niter =   43  fx =    0.027523750 
##   ... bootstrap draw number:  196   OK -- niter =   47  fx =    0.024329394 
##   ... bootstrap draw number:  197   OK -- niter =   43  fx =    0.015940493 
##   ... bootstrap draw number:  198   OK -- niter =   49  fx =    0.024774647 
##   ... bootstrap draw number:  199   OK -- niter =   46  fx =    0.018052549 
##   ... bootstrap draw number:  200   OK -- niter =   46  fx =    0.024309469 
##   ... bootstrap draw number:  201   OK -- niter =   42  fx =    0.019757950 
##   ... bootstrap draw number:  202   OK -- niter =   45  fx =    0.020983579 
##   ... bootstrap draw number:  203   OK -- niter =   46  fx =    0.024453789 
##   ... bootstrap draw number:  204   OK -- niter =   44  fx =    0.024619201 
##   ... bootstrap draw number:  205   OK -- niter =   45  fx =    0.026794802 
##   ... bootstrap draw number:  206   OK -- niter =   46  fx =    0.017184942 
##   ... bootstrap draw number:  207   OK -- niter =   45  fx =    0.021354185 
##   ... bootstrap draw number:  208   OK -- niter =   28  fx =    0.025439349 
##   ... bootstrap draw number:  209   OK -- niter =   44  fx =    0.018487643 
##   ... bootstrap draw number:  210   OK -- niter =   43  fx =    0.027386957 
##   ... bootstrap draw number:  211   OK -- niter =   51  fx =    0.025718442 
##   ... bootstrap draw number:  212   OK -- niter =   45  fx =    0.022490433 
##   ... bootstrap draw number:  213   OK -- niter =   41  fx =    0.018075633 
##   ... bootstrap draw number:  214   OK -- niter =   43  fx =    0.032481973 
##   ... bootstrap draw number:  215   OK -- niter =   47  fx =    0.027094255 
##   ... bootstrap draw number:  216   OK -- niter =   45  fx =    0.025598597 
##   ... bootstrap draw number:  217   OK -- niter =   26  fx =    0.026739610 
##   ... bootstrap draw number:  218   OK -- niter =   45  fx =    0.020745360 
##   ... bootstrap draw number:  219   OK -- niter =   46  fx =    0.024510428 
##   ... bootstrap draw number:  220   OK -- niter =   45  fx =    0.020609321 
##   ... bootstrap draw number:  221   OK -- niter =   53  fx =    0.020661657 
##   ... bootstrap draw number:  222   OK -- niter =   48  fx =    0.020617437 
##   ... bootstrap draw number:  223   OK -- niter =   48  fx =    0.028909526 
##   ... bootstrap draw number:  224   OK -- niter =   48  fx =    0.020056859 
##   ... bootstrap draw number:  225   OK -- niter =   44  fx =    0.020180939 
##   ... bootstrap draw number:  226   OK -- niter =   44  fx =    0.016073913 
##   ... bootstrap draw number:  227   OK -- niter =   46  fx =    0.020479435 
##   ... bootstrap draw number:  228   OK -- niter =   51  fx =    0.020748504 
##   ... bootstrap draw number:  229   OK -- niter =   28  fx =    0.019443020 
##   ... bootstrap draw number:  230   OK -- niter =   41  fx =    0.029326588 
##   ... bootstrap draw number:  231   OK -- niter =   45  fx =    0.026181294 
##   ... bootstrap draw number:  232   OK -- niter =   51  fx =    0.012780612 
##   ... bootstrap draw number:  233   OK -- niter =   46  fx =    0.025434745 
##   ... bootstrap draw number:  234   OK -- niter =   46  fx =    0.020878297 
##   ... bootstrap draw number:  235   OK -- niter =   60  fx =    0.026974308 
##   ... bootstrap draw number:  236   OK -- niter =   47  fx =    0.024639604 
##   ... bootstrap draw number:  237   OK -- niter =   46  fx =    0.019060600 
##   ... bootstrap draw number:  238   OK -- niter =   47  fx =    0.024534943 
##   ... bootstrap draw number:  239   OK -- niter =   42  fx =    0.017342762 
##   ... bootstrap draw number:  240   OK -- niter =   50  fx =    0.024538282 
##   ... bootstrap draw number:  241   OK -- niter =   59  fx =    0.023557684 
##   ... bootstrap draw number:  242   OK -- niter =   51  fx =    0.025772589 
##   ... bootstrap draw number:  243   OK -- niter =   44  fx =    0.026406148 
##   ... bootstrap draw number:  244   OK -- niter =   49  fx =    0.027303660 
##   ... bootstrap draw number:  245   OK -- niter =   52  fx =    0.031539282 
##   ... bootstrap draw number:  246   OK -- niter =   44  fx =    0.022057794 
##   ... bootstrap draw number:  247   OK -- niter =   46  fx =    0.016996203 
##   ... bootstrap draw number:  248   OK -- niter =   54  fx =    0.016135393 
##   ... bootstrap draw number:  249   OK -- niter =   47  fx =    0.020432575 
##   ... bootstrap draw number:  250   OK -- niter =   44  fx =    0.029606427 
##   ... bootstrap draw number:  251   OK -- niter =   46  fx =    0.021684283 
##   ... bootstrap draw number:  252   OK -- niter =   47  fx =    0.020583596 
##   ... bootstrap draw number:  253   OK -- niter =   47  fx =    0.027908091 
##   ... bootstrap draw number:  254   OK -- niter =   57  fx =    0.033356116 
##   ... bootstrap draw number:  255   OK -- niter =   42  fx =    0.017034473 
##   ... bootstrap draw number:  256   OK -- niter =   43  fx =    0.021661078 
##   ... bootstrap draw number:  257   OK -- niter =   47  fx =    0.031725281 
##   ... bootstrap draw number:  258   OK -- niter =   51  fx =    0.019095862 
##   ... bootstrap draw number:  259   OK -- niter =   48  fx =    0.022343840 
##   ... bootstrap draw number:  260   OK -- niter =   42  fx =    0.018932971 
##   ... bootstrap draw number:  261   OK -- niter =   46  fx =    0.020383875 
##   ... bootstrap draw number:  262   OK -- niter =   47  fx =    0.022422956 
##   ... bootstrap draw number:  263   OK -- niter =   44  fx =    0.014093132 
##   ... bootstrap draw number:  264   OK -- niter =   42  fx =    0.020985630 
##   ... bootstrap draw number:  265   OK -- niter =   56  fx =    0.019000772 
##   ... bootstrap draw number:  266   OK -- niter =   45  fx =    0.025093333 
##   ... bootstrap draw number:  267   OK -- niter =   48  fx =    0.030563961 
##   ... bootstrap draw number:  268   OK -- niter =   53  fx =    0.019652139 
##   ... bootstrap draw number:  269   OK -- niter =   65  fx =    0.022870947 
##   ... bootstrap draw number:  270   OK -- niter =   42  fx =    0.031765057 
##   ... bootstrap draw number:  271   OK -- niter =   50  fx =    0.017455937 
##   ... bootstrap draw number:  272   OK -- niter =   43  fx =    0.018120158 
##   ... bootstrap draw number:  273   OK -- niter =   54  fx =    0.017019507 
##   ... bootstrap draw number:  274   OK -- niter =   56  fx =    0.020176608 
##   ... bootstrap draw number:  275   OK -- niter =   43  fx =    0.021323797 
##   ... bootstrap draw number:  276   OK -- niter =   44  fx =    0.019320505 
##   ... bootstrap draw number:  277   OK -- niter =   43  fx =    0.021033102 
##   ... bootstrap draw number:  278   OK -- niter =   51  fx =    0.015055382 
##   ... bootstrap draw number:  279   OK -- niter =   44  fx =    0.020099355 
##   ... bootstrap draw number:  280   OK -- niter =   45  fx =    0.022445479 
##   ... bootstrap draw number:  281   OK -- niter =   42  fx =    0.025229279 
##   ... bootstrap draw number:  282   OK -- niter =   46  fx =    0.016075439 
##   ... bootstrap draw number:  283   OK -- niter =   45  fx =    0.021394856 
##   ... bootstrap draw number:  284   OK -- niter =   43  fx =    0.028716242 
##   ... bootstrap draw number:  285   OK -- niter =   48  fx =    0.020754251 
##   ... bootstrap draw number:  286   OK -- niter =   46  fx =    0.023775074 
##   ... bootstrap draw number:  287   OK -- niter =   48  fx =    0.023641208 
##   ... bootstrap draw number:  288   OK -- niter =   43  fx =    0.022117844 
##   ... bootstrap draw number:  289   OK -- niter =   50  fx =    0.027553242 
##   ... bootstrap draw number:  290   OK -- niter =   51  fx =    0.024756997 
##   ... bootstrap draw number:  291   OK -- niter =   46  fx =    0.021926080 
##   ... bootstrap draw number:  292   OK -- niter =   50  fx =    0.018239796 
##   ... bootstrap draw number:  293   OK -- niter =   48  fx =    0.019545442 
##   ... bootstrap draw number:  294   OK -- niter =   45  fx =    0.014499653 
##   ... bootstrap draw number:  295   OK -- niter =   47  fx =    0.021217849 
##   ... bootstrap draw number:  296   OK -- niter =   43  fx =    0.022140307 
##   ... bootstrap draw number:  297   OK -- niter =   43  fx =    0.024112722 
##   ... bootstrap draw number:  298   OK -- niter =   42  fx =    0.018712728 
##   ... bootstrap draw number:  299   OK -- niter =   45  fx =    0.019938227 
##   ... bootstrap draw number:  300   OK -- niter =   42  fx =    0.016896216 
##   ... bootstrap draw number:  301   OK -- niter =   51  fx =    0.021904604 
##   ... bootstrap draw number:  302   OK -- niter =   51  fx =    0.021143666 
##   ... bootstrap draw number:  303   OK -- niter =   49  fx =    0.015638355 
##   ... bootstrap draw number:  304   OK -- niter =   48  fx =    0.024020897 
##   ... bootstrap draw number:  305   OK -- niter =   48  fx =    0.019242930 
##   ... bootstrap draw number:  306   OK -- niter =   44  fx =    0.022118980 
##   ... bootstrap draw number:  307   OK -- niter =   44  fx =    0.024154152 
##   ... bootstrap draw number:  308   OK -- niter =   45  fx =    0.025801044 
##   ... bootstrap draw number:  309   OK -- niter =   44  fx =    0.022085692 
##   ... bootstrap draw number:  310   OK -- niter =   50  fx =    0.024239708 
##   ... bootstrap draw number:  311   OK -- niter =   49  fx =    0.023660884 
##   ... bootstrap draw number:  312   OK -- niter =   49  fx =    0.027554763 
##   ... bootstrap draw number:  313   OK -- niter =   41  fx =    0.028365492 
##   ... bootstrap draw number:  314   OK -- niter =   43  fx =    0.015274548 
##   ... bootstrap draw number:  315   OK -- niter =   46  fx =    0.022912526 
##   ... bootstrap draw number:  316   OK -- niter =   52  fx =    0.017801920 
##   ... bootstrap draw number:  317   OK -- niter =   44  fx =    0.025179889 
##   ... bootstrap draw number:  318   OK -- niter =   49  fx =    0.024351225 
##   ... bootstrap draw number:  319   OK -- niter =   42  fx =    0.020857003 
##   ... bootstrap draw number:  320   OK -- niter =   53  fx =    0.025514983 
##   ... bootstrap draw number:  321   OK -- niter =   25  fx =    0.030319395 
##   ... bootstrap draw number:  322   OK -- niter =   47  fx =    0.029784522 
##   ... bootstrap draw number:  323   OK -- niter =   45  fx =    0.024166109 
##   ... bootstrap draw number:  324   OK -- niter =   47  fx =    0.020764105 
##   ... bootstrap draw number:  325   OK -- niter =   45  fx =    0.019945848 
##   ... bootstrap draw number:  326   OK -- niter =   45  fx =    0.023460953 
##   ... bootstrap draw number:  327   OK -- niter =   44  fx =    0.019079797 
##   ... bootstrap draw number:  328   OK -- niter =   47  fx =    0.021214486 
##   ... bootstrap draw number:  329   OK -- niter =   51  fx =    0.022122662 
##   ... bootstrap draw number:  330   OK -- niter =   43  fx =    0.019019288 
##   ... bootstrap draw number:  331   OK -- niter =   46  fx =    0.018034141 
##   ... bootstrap draw number:  332   OK -- niter =   45  fx =    0.017677684 
##   ... bootstrap draw number:  333   OK -- niter =   42  fx =    0.024812853 
##   ... bootstrap draw number:  334   OK -- niter =   43  fx =    0.027278964 
##   ... bootstrap draw number:  335   OK -- niter =   47  fx =    0.016383790 
##   ... bootstrap draw number:  336   OK -- niter =   48  fx =    0.024615733 
##   ... bootstrap draw number:  337   OK -- niter =   46  fx =    0.012750360 
##   ... bootstrap draw number:  338   OK -- niter =   42  fx =    0.029977596 
##   ... bootstrap draw number:  339   OK -- niter =   49  fx =    0.025082931 
##   ... bootstrap draw number:  340   OK -- niter =   47  fx =    0.018947866 
##   ... bootstrap draw number:  341   OK -- niter =   43  fx =    0.014763188 
##   ... bootstrap draw number:  342   OK -- niter =   41  fx =    0.017706887 
##   ... bootstrap draw number:  343   OK -- niter =   49  fx =    0.025633787 
##   ... bootstrap draw number:  344   OK -- niter =   45  fx =    0.018388407 
##   ... bootstrap draw number:  345   OK -- niter =   40  fx =    0.021972756 
##   ... bootstrap draw number:  346   OK -- niter =   44  fx =    0.020826615 
##   ... bootstrap draw number:  347   OK -- niter =   47  fx =    0.028764379 
##   ... bootstrap draw number:  348   OK -- niter =   59  fx =    0.030373596 
##   ... bootstrap draw number:  349   OK -- niter =   50  fx =    0.022876143 
##   ... bootstrap draw number:  350   OK -- niter =   46  fx =    0.027610841 
##   ... bootstrap draw number:  351   OK -- niter =   45  fx =    0.027179818 
##   ... bootstrap draw number:  352   OK -- niter =   43  fx =    0.035760762 
##   ... bootstrap draw number:  353   OK -- niter =   54  fx =    0.015732110 
##   ... bootstrap draw number:  354   OK -- niter =   51  fx =    0.022349496 
##   ... bootstrap draw number:  355   OK -- niter =   42  fx =    0.020329977 
##   ... bootstrap draw number:  356   OK -- niter =   43  fx =    0.015366705 
##   ... bootstrap draw number:  357   OK -- niter =   48  fx =    0.026834371 
##   ... bootstrap draw number:  358   OK -- niter =   45  fx =    0.034276915 
##   ... bootstrap draw number:  359   OK -- niter =   43  fx =    0.018360365 
##   ... bootstrap draw number:  360   OK -- niter =   45  fx =    0.022644518 
##   ... bootstrap draw number:  361   OK -- niter =   44  fx =    0.024782843 
##   ... bootstrap draw number:  362   OK -- niter =   45  fx =    0.024745266 
##   ... bootstrap draw number:  363   OK -- niter =   47  fx =    0.027950347 
##   ... bootstrap draw number:  364   OK -- niter =   45  fx =    0.028522586 
##   ... bootstrap draw number:  365   OK -- niter =   59  fx =    0.019679578 
##   ... bootstrap draw number:  366   OK -- niter =   48  fx =    0.018393228 
##   ... bootstrap draw number:  367   OK -- niter =   45  fx =    0.020554339 
##   ... bootstrap draw number:  368   OK -- niter =   51  fx =    0.023259083 
##   ... bootstrap draw number:  369   OK -- niter =   47  fx =    0.027113343 
##   ... bootstrap draw number:  370   OK -- niter =   24  fx =    0.023597672 
##   ... bootstrap draw number:  371   OK -- niter =   49  fx =    0.014750327 
##   ... bootstrap draw number:  372   OK -- niter =   44  fx =    0.024600048 
##   ... bootstrap draw number:  373   OK -- niter =   54  fx =    0.023555877 
##   ... bootstrap draw number:  374   OK -- niter =   45  fx =    0.010603490 
##   ... bootstrap draw number:  375   OK -- niter =   47  fx =    0.023709940 
##   ... bootstrap draw number:  376   OK -- niter =   45  fx =    0.018137021 
##   ... bootstrap draw number:  377   OK -- niter =   46  fx =    0.023878786 
##   ... bootstrap draw number:  378   OK -- niter =   47  fx =    0.026788148 
##   ... bootstrap draw number:  379   OK -- niter =   44  fx =    0.023536575 
##   ... bootstrap draw number:  380   OK -- niter =   47  fx =    0.025753685 
##   ... bootstrap draw number:  381   OK -- niter =   43  fx =    0.023571636 
##   ... bootstrap draw number:  382   OK -- niter =   44  fx =    0.029438156 
##   ... bootstrap draw number:  383   OK -- niter =   41  fx =    0.031900727 
##   ... bootstrap draw number:  384   OK -- niter =   49  fx =    0.018354953 
##   ... bootstrap draw number:  385   OK -- niter =   44  fx =    0.013686895 
##   ... bootstrap draw number:  386   OK -- niter =   49  fx =    0.017046074 
##   ... bootstrap draw number:  387   OK -- niter =   44  fx =    0.026466542 
##   ... bootstrap draw number:  388   OK -- niter =   41  fx =    0.020960250 
##   ... bootstrap draw number:  389   OK -- niter =   49  fx =    0.022127807 
##   ... bootstrap draw number:  390   OK -- niter =   45  fx =    0.024401761 
##   ... bootstrap draw number:  391   OK -- niter =   47  fx =    0.026017036 
##   ... bootstrap draw number:  392   OK -- niter =   51  fx =    0.025105538 
##   ... bootstrap draw number:  393   OK -- niter =   47  fx =    0.019356782 
##   ... bootstrap draw number:  394   OK -- niter =   47  fx =    0.038243940 
##   ... bootstrap draw number:  395   OK -- niter =   42  fx =    0.018856991 
##   ... bootstrap draw number:  396   OK -- niter =   46  fx =    0.022953421 
##   ... bootstrap draw number:  397   OK -- niter =   50  fx =    0.018991856 
##   ... bootstrap draw number:  398   OK -- niter =   42  fx =    0.022345206 
##   ... bootstrap draw number:  399   OK -- niter =   51  fx =    0.022837344 
##   ... bootstrap draw number:  400   OK -- niter =   50  fx =    0.022227486 
##   ... bootstrap draw number:  401   OK -- niter =   52  fx =    0.020776247 
##   ... bootstrap draw number:  402   OK -- niter =   47  fx =    0.013798111 
##   ... bootstrap draw number:  403   OK -- niter =   43  fx =    0.019576688 
##   ... bootstrap draw number:  404   OK -- niter =   45  fx =    0.030317964 
##   ... bootstrap draw number:  405   OK -- niter =   42  fx =    0.023086753 
##   ... bootstrap draw number:  406   OK -- niter =   42  fx =    0.028810797 
##   ... bootstrap draw number:  407   OK -- niter =   45  fx =    0.021260954 
##   ... bootstrap draw number:  408   OK -- niter =   42  fx =    0.026571459 
##   ... bootstrap draw number:  409   OK -- niter =   49  fx =    0.018530238 
##   ... bootstrap draw number:  410   OK -- niter =   41  fx =    0.021702562 
##   ... bootstrap draw number:  411   OK -- niter =   47  fx =    0.019375174 
##   ... bootstrap draw number:  412   OK -- niter =   44  fx =    0.022917424 
##   ... bootstrap draw number:  413   OK -- niter =   48  fx =    0.029297679 
##   ... bootstrap draw number:  414   OK -- niter =   50  fx =    0.025919253 
##   ... bootstrap draw number:  415   OK -- niter =   44  fx =    0.033353343 
##   ... bootstrap draw number:  416   OK -- niter =   50  fx =    0.023436504 
##   ... bootstrap draw number:  417   OK -- niter =   48  fx =    0.016090388 
##   ... bootstrap draw number:  418   OK -- niter =   42  fx =    0.028524964 
##   ... bootstrap draw number:  419   OK -- niter =   43  fx =    0.021444920 
##   ... bootstrap draw number:  420   OK -- niter =   44  fx =    0.028023662 
##   ... bootstrap draw number:  421   OK -- niter =   46  fx =    0.022768928 
##   ... bootstrap draw number:  422   OK -- niter =   48  fx =    0.021905520 
##   ... bootstrap draw number:  423   OK -- niter =   44  fx =    0.022221888 
##   ... bootstrap draw number:  424   OK -- niter =   45  fx =    0.024789259 
##   ... bootstrap draw number:  425   OK -- niter =   43  fx =    0.020255759 
##   ... bootstrap draw number:  426   OK -- niter =   47  fx =    0.026326920 
##   ... bootstrap draw number:  427   OK -- niter =   41  fx =    0.025736978 
##   ... bootstrap draw number:  428   OK -- niter =   45  fx =    0.018149901 
##   ... bootstrap draw number:  429   OK -- niter =   43  fx =    0.023290390 
##   ... bootstrap draw number:  430   OK -- niter =   42  fx =    0.020251239 
##   ... bootstrap draw number:  431   OK -- niter =   47  fx =    0.029128937 
##   ... bootstrap draw number:  432   OK -- niter =   49  fx =    0.017996595 
##   ... bootstrap draw number:  433   OK -- niter =   47  fx =    0.021669125 
##   ... bootstrap draw number:  434   OK -- niter =   43  fx =    0.028455968 
##   ... bootstrap draw number:  435   OK -- niter =   51  fx =    0.029206820 
##   ... bootstrap draw number:  436   OK -- niter =   47  fx =    0.018448585 
##   ... bootstrap draw number:  437   OK -- niter =   47  fx =    0.025227299 
##   ... bootstrap draw number:  438   OK -- niter =   45  fx =    0.027507822 
##   ... bootstrap draw number:  439   OK -- niter =   52  fx =    0.028802625 
##   ... bootstrap draw number:  440   OK -- niter =   44  fx =    0.018189833 
##   ... bootstrap draw number:  441   OK -- niter =   43  fx =    0.018967004 
##   ... bootstrap draw number:  442   OK -- niter =   51  fx =    0.029706838 
##   ... bootstrap draw number:  443   OK -- niter =   51  fx =    0.020880430 
##   ... bootstrap draw number:  444   OK -- niter =   49  fx =    0.026322057 
##   ... bootstrap draw number:  445   OK -- niter =   47  fx =    0.012659889 
##   ... bootstrap draw number:  446   OK -- niter =   43  fx =    0.022650879 
##   ... bootstrap draw number:  447   OK -- niter =   44  fx =    0.030617417 
##   ... bootstrap draw number:  448   OK -- niter =   48  fx =    0.023648316 
##   ... bootstrap draw number:  449   OK -- niter =   43  fx =    0.021083462 
##   ... bootstrap draw number:  450   OK -- niter =   42  fx =    0.022384318 
##   ... bootstrap draw number:  451   OK -- niter =   48  fx =    0.023402208 
##   ... bootstrap draw number:  452   OK -- niter =   47  fx =    0.019071355 
##   ... bootstrap draw number:  453   OK -- niter =   49  fx =    0.020339048 
##   ... bootstrap draw number:  454   OK -- niter =   43  fx =    0.018571777 
##   ... bootstrap draw number:  455   OK -- niter =   47  fx =    0.030775766 
##   ... bootstrap draw number:  456   OK -- niter =   53  fx =    0.019933246 
##   ... bootstrap draw number:  457   OK -- niter =   52  fx =    0.020830367 
##   ... bootstrap draw number:  458   OK -- niter =   43  fx =    0.027166922 
##   ... bootstrap draw number:  459   OK -- niter =   49  fx =    0.025022896 
##   ... bootstrap draw number:  460   OK -- niter =   44  fx =    0.018623727 
##   ... bootstrap draw number:  461   OK -- niter =   49  fx =    0.019628669 
##   ... bootstrap draw number:  462   OK -- niter =   44  fx =    0.017713838 
##   ... bootstrap draw number:  463   OK -- niter =   42  fx =    0.021403477 
##   ... bootstrap draw number:  464   OK -- niter =   43  fx =    0.022734433 
##   ... bootstrap draw number:  465   OK -- niter =   26  fx =    0.014026112 
##   ... bootstrap draw number:  466   OK -- niter =   51  fx =    0.022221247 
##   ... bootstrap draw number:  467   OK -- niter =   49  fx =    0.016412063 
##   ... bootstrap draw number:  468   OK -- niter =   43  fx =    0.025209490 
##   ... bootstrap draw number:  469   OK -- niter =   47  fx =    0.023693983 
##   ... bootstrap draw number:  470   OK -- niter =   43  fx =    0.017058374 
##   ... bootstrap draw number:  471   OK -- niter =   48  fx =    0.016620060 
##   ... bootstrap draw number:  472   OK -- niter =   49  fx =    0.019226318 
##   ... bootstrap draw number:  473   OK -- niter =   42  fx =    0.028490431 
##   ... bootstrap draw number:  474   OK -- niter =   43  fx =    0.028190122 
##   ... bootstrap draw number:  475   OK -- niter =   46  fx =    0.022721695 
##   ... bootstrap draw number:  476   OK -- niter =   46  fx =    0.026297550 
##   ... bootstrap draw number:  477   OK -- niter =   43  fx =    0.018947760 
##   ... bootstrap draw number:  478   OK -- niter =   41  fx =    0.020166949 
##   ... bootstrap draw number:  479   OK -- niter =   43  fx =    0.027828734 
##   ... bootstrap draw number:  480   OK -- niter =   43  fx =    0.023106708 
##   ... bootstrap draw number:  481   OK -- niter =   44  fx =    0.021402371 
##   ... bootstrap draw number:  482   OK -- niter =   46  fx =    0.019028147 
##   ... bootstrap draw number:  483   OK -- niter =   49  fx =    0.019378792 
##   ... bootstrap draw number:  484   OK -- niter =   45  fx =    0.029479426 
##   ... bootstrap draw number:  485   OK -- niter =   47  fx =    0.020730218 
##   ... bootstrap draw number:  486   OK -- niter =   44  fx =    0.021055110 
##   ... bootstrap draw number:  487   OK -- niter =   47  fx =    0.020114664 
##   ... bootstrap draw number:  488   OK -- niter =   51  fx =    0.018944188 
##   ... bootstrap draw number:  489   OK -- niter =   45  fx =    0.019485017 
##   ... bootstrap draw number:  490   OK -- niter =   43  fx =    0.018801675 
##   ... bootstrap draw number:  491   OK -- niter =   42  fx =    0.020015259 
##   ... bootstrap draw number:  492   OK -- niter =   42  fx =    0.019863783 
##   ... bootstrap draw number:  493   OK -- niter =   42  fx =    0.021241093 
##   ... bootstrap draw number:  494   OK -- niter =   44  fx =    0.028282592 
##   ... bootstrap draw number:  495   OK -- niter =   46  fx =    0.018380784 
##   ... bootstrap draw number:  496   OK -- niter =   47  fx =    0.019308840 
##   ... bootstrap draw number:  497   OK -- niter =   47  fx =    0.031565753 
##   ... bootstrap draw number:  498   OK -- niter =   43  fx =    0.023975558 
##   ... bootstrap draw number:  499   OK -- niter =   43  fx =    0.027340778 
##   ... bootstrap draw number:  500   OK -- niter =   40  fx =    0.024037676 
##   ... bootstrap draw number:  501   OK -- niter =   46  fx =    0.021673180 
##   ... bootstrap draw number:  502   OK -- niter =   47  fx =    0.017896417 
##   ... bootstrap draw number:  503   OK -- niter =   45  fx =    0.025313601 
##   ... bootstrap draw number:  504   OK -- niter =   45  fx =    0.020934162 
##   ... bootstrap draw number:  505   OK -- niter =   24  fx =    0.018720165 
##   ... bootstrap draw number:  506   OK -- niter =   46  fx =    0.025847772 
##   ... bootstrap draw number:  507   OK -- niter =   42  fx =    0.020439667 
##   ... bootstrap draw number:  508   OK -- niter =   45  fx =    0.026978531 
##   ... bootstrap draw number:  509   OK -- niter =   43  fx =    0.019452696 
##   ... bootstrap draw number:  510   OK -- niter =   55  fx =    0.023390826 
##   ... bootstrap draw number:  511   OK -- niter =   49  fx =    0.020636392 
##   ... bootstrap draw number:  512   OK -- niter =   41  fx =    0.019208848 
##   ... bootstrap draw number:  513   OK -- niter =   48  fx =    0.025304296 
##   ... bootstrap draw number:  514   OK -- niter =   49  fx =    0.026095891 
##   ... bootstrap draw number:  515   OK -- niter =   46  fx =    0.017166805 
##   ... bootstrap draw number:  516   OK -- niter =   41  fx =    0.023922227 
##   ... bootstrap draw number:  517   OK -- niter =   49  fx =    0.023208396 
##   ... bootstrap draw number:  518   OK -- niter =   46  fx =    0.026291700 
##   ... bootstrap draw number:  519   OK -- niter =   48  fx =    0.018888878 
##   ... bootstrap draw number:  520   OK -- niter =   44  fx =    0.019668516 
##   ... bootstrap draw number:  521   OK -- niter =   45  fx =    0.023162369 
##   ... bootstrap draw number:  522   OK -- niter =   48  fx =    0.016044658 
##   ... bootstrap draw number:  523   OK -- niter =   49  fx =    0.022388704 
##   ... bootstrap draw number:  524   OK -- niter =   47  fx =    0.026407923 
##   ... bootstrap draw number:  525   OK -- niter =   43  fx =    0.023104730 
##   ... bootstrap draw number:  526   OK -- niter =   48  fx =    0.022894009 
##   ... bootstrap draw number:  527   OK -- niter =   48  fx =    0.026974215 
##   ... bootstrap draw number:  528   OK -- niter =   48  fx =    0.021400196 
##   ... bootstrap draw number:  529   OK -- niter =   46  fx =    0.023049136 
##   ... bootstrap draw number:  530   OK -- niter =   44  fx =    0.013719780 
##   ... bootstrap draw number:  531   OK -- niter =   44  fx =    0.018961778 
##   ... bootstrap draw number:  532   OK -- niter =   47  fx =    0.021593237 
##   ... bootstrap draw number:  533   OK -- niter =   46  fx =    0.029452597 
##   ... bootstrap draw number:  534   OK -- niter =   45  fx =    0.035853318 
##   ... bootstrap draw number:  535   OK -- niter =   45  fx =    0.024226959 
##   ... bootstrap draw number:  536   OK -- niter =   48  fx =    0.027329603 
##   ... bootstrap draw number:  537   OK -- niter =   52  fx =    0.020142300 
##   ... bootstrap draw number:  538   OK -- niter =   53  fx =    0.020270980 
##   ... bootstrap draw number:  539   OK -- niter =   44  fx =    0.018344924 
##   ... bootstrap draw number:  540   OK -- niter =   50  fx =    0.025378265 
##   ... bootstrap draw number:  541   OK -- niter =   46  fx =    0.028900823 
##   ... bootstrap draw number:  542   OK -- niter =   47  fx =    0.020519619 
##   ... bootstrap draw number:  543   OK -- niter =   42  fx =    0.017681667 
##   ... bootstrap draw number:  544   OK -- niter =   45  fx =    0.026838978 
##   ... bootstrap draw number:  545   OK -- niter =   43  fx =    0.020624679 
##   ... bootstrap draw number:  546   OK -- niter =   54  fx =    0.016322920 
##   ... bootstrap draw number:  547   OK -- niter =   51  fx =    0.032983978 
##   ... bootstrap draw number:  548   OK -- niter =   42  fx =    0.032550984 
##   ... bootstrap draw number:  549   OK -- niter =   43  fx =    0.026139420 
##   ... bootstrap draw number:  550   OK -- niter =   54  fx =    0.026533877 
##   ... bootstrap draw number:  551   OK -- niter =   47  fx =    0.028832424 
##   ... bootstrap draw number:  552   OK -- niter =   43  fx =    0.029462805 
##   ... bootstrap draw number:  553   OK -- niter =   46  fx =    0.029105386 
##   ... bootstrap draw number:  554   OK -- niter =   46  fx =    0.023084588 
##   ... bootstrap draw number:  555   OK -- niter =   49  fx =    0.023028315 
##   ... bootstrap draw number:  556   OK -- niter =   50  fx =    0.021327260 
##   ... bootstrap draw number:  557   OK -- niter =   43  fx =    0.028815551 
##   ... bootstrap draw number:  558   OK -- niter =   47  fx =    0.031080187 
##   ... bootstrap draw number:  559   OK -- niter =   49  fx =    0.027695517 
##   ... bootstrap draw number:  560   OK -- niter =   49  fx =    0.020551968 
##   ... bootstrap draw number:  561   OK -- niter =   46  fx =    0.026464679 
##   ... bootstrap draw number:  562   OK -- niter =   46  fx =    0.036192667 
##   ... bootstrap draw number:  563   OK -- niter =   47  fx =    0.032586064 
##   ... bootstrap draw number:  564   OK -- niter =   42  fx =    0.019531499 
##   ... bootstrap draw number:  565   OK -- niter =   26  fx =    0.019374348 
##   ... bootstrap draw number:  566   OK -- niter =   47  fx =    0.019251744 
##   ... bootstrap draw number:  567   OK -- niter =   43  fx =    0.019472378 
##   ... bootstrap draw number:  568   OK -- niter =   46  fx =    0.015229737 
##   ... bootstrap draw number:  569   OK -- niter =   50  fx =    0.024668196 
##   ... bootstrap draw number:  570   OK -- niter =   55  fx =    0.019040948 
##   ... bootstrap draw number:  571   OK -- niter =   45  fx =    0.030598955 
##   ... bootstrap draw number:  572   OK -- niter =   42  fx =    0.027768681 
##   ... bootstrap draw number:  573   OK -- niter =   53  fx =    0.021600795 
##   ... bootstrap draw number:  574   OK -- niter =   48  fx =    0.036487747 
##   ... bootstrap draw number:  575   OK -- niter =   42  fx =    0.026762078 
##   ... bootstrap draw number:  576   OK -- niter =   60  fx =    0.029647917 
##   ... bootstrap draw number:  577   OK -- niter =   42  fx =    0.022451759 
##   ... bootstrap draw number:  578   OK -- niter =   43  fx =    0.026878974 
##   ... bootstrap draw number:  579   OK -- niter =   47  fx =    0.031715864 
##   ... bootstrap draw number:  580   OK -- niter =   44  fx =    0.016460189 
##   ... bootstrap draw number:  581   OK -- niter =   43  fx =    0.017695485 
##   ... bootstrap draw number:  582   OK -- niter =   43  fx =    0.018478166 
##   ... bootstrap draw number:  583   OK -- niter =   49  fx =    0.020177343 
##   ... bootstrap draw number:  584   OK -- niter =   49  fx =    0.023113627 
##   ... bootstrap draw number:  585   OK -- niter =   42  fx =    0.023077243 
##   ... bootstrap draw number:  586   OK -- niter =   49  fx =    0.024654945 
##   ... bootstrap draw number:  587   OK -- niter =   47  fx =    0.021374386 
##   ... bootstrap draw number:  588   OK -- niter =   43  fx =    0.020507361 
##   ... bootstrap draw number:  589   OK -- niter =   48  fx =    0.021102263 
##   ... bootstrap draw number:  590   OK -- niter =   25  fx =    0.016497242 
##   ... bootstrap draw number:  591   OK -- niter =   44  fx =    0.026803098 
##   ... bootstrap draw number:  592   OK -- niter =   48  fx =    0.024923639 
##   ... bootstrap draw number:  593   OK -- niter =   46  fx =    0.027432570 
##   ... bootstrap draw number:  594   OK -- niter =   45  fx =    0.020426533 
##   ... bootstrap draw number:  595   OK -- niter =   49  fx =    0.024114839 
##   ... bootstrap draw number:  596   OK -- niter =   54  fx =    0.038681119 
##   ... bootstrap draw number:  597   OK -- niter =   48  fx =    0.020725706 
##   ... bootstrap draw number:  598   OK -- niter =   49  fx =    0.026687846 
##   ... bootstrap draw number:  599   OK -- niter =   46  fx =    0.023034747 
##   ... bootstrap draw number:  600   OK -- niter =   43  fx =    0.021932770 
##   ... bootstrap draw number:  601   OK -- niter =   50  fx =    0.021530049 
##   ... bootstrap draw number:  602   OK -- niter =   45  fx =    0.020327939 
##   ... bootstrap draw number:  603   OK -- niter =   43  fx =    0.021524182 
##   ... bootstrap draw number:  604   OK -- niter =   50  fx =    0.019392020 
##   ... bootstrap draw number:  605   OK -- niter =   45  fx =    0.019321240 
##   ... bootstrap draw number:  606   OK -- niter =   49  fx =    0.029857882 
##   ... bootstrap draw number:  607   OK -- niter =   44  fx =    0.019477239 
##   ... bootstrap draw number:  608   OK -- niter =   47  fx =    0.023841065 
##   ... bootstrap draw number:  609   OK -- niter =   46  fx =    0.022534044 
##   ... bootstrap draw number:  610   OK -- niter =   47  fx =    0.029470490 
##   ... bootstrap draw number:  611   OK -- niter =   43  fx =    0.015606744 
##   ... bootstrap draw number:  612   OK -- niter =   46  fx =    0.009161857 
##   ... bootstrap draw number:  613   OK -- niter =   47  fx =    0.018893479 
##   ... bootstrap draw number:  614   OK -- niter =   42  fx =    0.024417720 
##   ... bootstrap draw number:  615   OK -- niter =   42  fx =    0.022367449 
##   ... bootstrap draw number:  616   OK -- niter =   47  fx =    0.020533226 
##   ... bootstrap draw number:  617   OK -- niter =   48  fx =    0.023740487 
##   ... bootstrap draw number:  618   OK -- niter =   44  fx =    0.024687543 
##   ... bootstrap draw number:  619   OK -- niter =   46  fx =    0.024566207 
##   ... bootstrap draw number:  620   OK -- niter =   45  fx =    0.023806696 
##   ... bootstrap draw number:  621   OK -- niter =   42  fx =    0.022047295 
##   ... bootstrap draw number:  622   OK -- niter =   50  fx =    0.023443089 
##   ... bootstrap draw number:  623   OK -- niter =   49  fx =    0.026603272 
##   ... bootstrap draw number:  624   OK -- niter =   47  fx =    0.033841299 
##   ... bootstrap draw number:  625   OK -- niter =   47  fx =    0.029778410 
##   ... bootstrap draw number:  626   OK -- niter =   45  fx =    0.024625020 
##   ... bootstrap draw number:  627   OK -- niter =   51  fx =    0.020721423 
##   ... bootstrap draw number:  628   OK -- niter =   46  fx =    0.024429662 
##   ... bootstrap draw number:  629   OK -- niter =   48  fx =    0.032851495 
##   ... bootstrap draw number:  630   OK -- niter =   45  fx =    0.034523129 
##   ... bootstrap draw number:  631   OK -- niter =   46  fx =    0.018043318 
##   ... bootstrap draw number:  632   OK -- niter =   46  fx =    0.025396401 
##   ... bootstrap draw number:  633   OK -- niter =   45  fx =    0.021299276 
##   ... bootstrap draw number:  634   OK -- niter =   44  fx =    0.026678754 
##   ... bootstrap draw number:  635   OK -- niter =   47  fx =    0.015474323 
##   ... bootstrap draw number:  636   OK -- niter =   47  fx =    0.026421281 
##   ... bootstrap draw number:  637   OK -- niter =   41  fx =    0.024504763 
##   ... bootstrap draw number:  638   OK -- niter =   47  fx =    0.033144640 
##   ... bootstrap draw number:  639   OK -- niter =   58  fx =    0.020490647 
##   ... bootstrap draw number:  640   OK -- niter =   43  fx =    0.022988378 
##   ... bootstrap draw number:  641   OK -- niter =   49  fx =    0.014496710 
##   ... bootstrap draw number:  642   OK -- niter =   48  fx =    0.020088387 
##   ... bootstrap draw number:  643   OK -- niter =   45  fx =    0.017043504 
##   ... bootstrap draw number:  644   OK -- niter =   45  fx =    0.023219343 
##   ... bootstrap draw number:  645   OK -- niter =   44  fx =    0.018327179 
##   ... bootstrap draw number:  646   OK -- niter =   46  fx =    0.026189321 
##   ... bootstrap draw number:  647   OK -- niter =   43  fx =    0.018623208 
##   ... bootstrap draw number:  648   OK -- niter =   43  fx =    0.026765894 
##   ... bootstrap draw number:  649   OK -- niter =   43  fx =    0.014595338 
##   ... bootstrap draw number:  650   OK -- niter =   47  fx =    0.026702377 
##   ... bootstrap draw number:  651   OK -- niter =   41  fx =    0.019867040 
##   ... bootstrap draw number:  652   OK -- niter =   47  fx =    0.031108242 
##   ... bootstrap draw number:  653   OK -- niter =   49  fx =    0.025517579 
##   ... bootstrap draw number:  654   OK -- niter =   45  fx =    0.024935353 
##   ... bootstrap draw number:  655   OK -- niter =   45  fx =    0.024127369 
##   ... bootstrap draw number:  656   OK -- niter =   52  fx =    0.028933293 
##   ... bootstrap draw number:  657   OK -- niter =   42  fx =    0.024776136 
##   ... bootstrap draw number:  658   OK -- niter =   47  fx =    0.018169977 
##   ... bootstrap draw number:  659   OK -- niter =   43  fx =    0.023641902 
##   ... bootstrap draw number:  660   OK -- niter =   57  fx =    0.034901543 
##   ... bootstrap draw number:  661   OK -- niter =   45  fx =    0.023239081 
##   ... bootstrap draw number:  662   OK -- niter =   49  fx =    0.021655104 
##   ... bootstrap draw number:  663   OK -- niter =   45  fx =    0.019189277 
##   ... bootstrap draw number:  664   OK -- niter =   49  fx =    0.016836400 
##   ... bootstrap draw number:  665   OK -- niter =   43  fx =    0.019286989 
##   ... bootstrap draw number:  666   OK -- niter =   54  fx =    0.031835907 
##   ... bootstrap draw number:  667   OK -- niter =   43  fx =    0.031570841 
##   ... bootstrap draw number:  668   OK -- niter =   48  fx =    0.014579678 
##   ... bootstrap draw number:  669   OK -- niter =   24  fx =    0.018949937 
##   ... bootstrap draw number:  670   OK -- niter =   48  fx =    0.026014973 
##   ... bootstrap draw number:  671   OK -- niter =   44  fx =    0.022366708 
##   ... bootstrap draw number:  672   OK -- niter =   51  fx =    0.027045115 
##   ... bootstrap draw number:  673   OK -- niter =   46  fx =    0.021109824 
##   ... bootstrap draw number:  674   OK -- niter =   49  fx =    0.015193904 
##   ... bootstrap draw number:  675   OK -- niter =   48  fx =    0.028622932 
##   ... bootstrap draw number:  676   OK -- niter =   26  fx =    0.028342197 
##   ... bootstrap draw number:  677   OK -- niter =   25  fx =    0.022999498 
##   ... bootstrap draw number:  678   OK -- niter =   49  fx =    0.021788864 
##   ... bootstrap draw number:  679   OK -- niter =   45  fx =    0.027730885 
##   ... bootstrap draw number:  680   OK -- niter =   45  fx =    0.025429320 
##   ... bootstrap draw number:  681   OK -- niter =   45  fx =    0.022516471 
##   ... bootstrap draw number:  682   OK -- niter =   43  fx =    0.027535737 
##   ... bootstrap draw number:  683   OK -- niter =   50  fx =    0.022002246 
##   ... bootstrap draw number:  684   OK -- niter =   46  fx =    0.021805769 
##   ... bootstrap draw number:  685   OK -- niter =   44  fx =    0.028691320 
##   ... bootstrap draw number:  686   OK -- niter =   45  fx =    0.024469234 
##   ... bootstrap draw number:  687   OK -- niter =   46  fx =    0.027766880 
##   ... bootstrap draw number:  688   OK -- niter =   46  fx =    0.021475500 
##   ... bootstrap draw number:  689   OK -- niter =   46  fx =    0.023427175 
##   ... bootstrap draw number:  690   OK -- niter =   51  fx =    0.018500747 
##   ... bootstrap draw number:  691   OK -- niter =   46  fx =    0.023715448 
##   ... bootstrap draw number:  692   OK -- niter =   44  fx =    0.021416302 
##   ... bootstrap draw number:  693   OK -- niter =   42  fx =    0.019280995 
##   ... bootstrap draw number:  694   OK -- niter =   42  fx =    0.030695446 
##   ... bootstrap draw number:  695   OK -- niter =   42  fx =    0.021960891 
##   ... bootstrap draw number:  696   OK -- niter =   49  fx =    0.017284015 
##   ... bootstrap draw number:  697   OK -- niter =   56  fx =    0.019603784 
##   ... bootstrap draw number:  698   OK -- niter =   46  fx =    0.023228897 
##   ... bootstrap draw number:  699   OK -- niter =   49  fx =    0.015947847 
##   ... bootstrap draw number:  700   OK -- niter =   47  fx =    0.025154669 
##   ... bootstrap draw number:  701   OK -- niter =   53  fx =    0.027609127 
##   ... bootstrap draw number:  702   OK -- niter =   52  fx =    0.025115796 
##   ... bootstrap draw number:  703   OK -- niter =   41  fx =    0.021978053 
##   ... bootstrap draw number:  704   OK -- niter =   48  fx =    0.026817498 
##   ... bootstrap draw number:  705   OK -- niter =   50  fx =    0.024808076 
##   ... bootstrap draw number:  706   OK -- niter =   43  fx =    0.017324939 
##   ... bootstrap draw number:  707   OK -- niter =   44  fx =    0.017492474 
##   ... bootstrap draw number:  708   OK -- niter =   42  fx =    0.022406567 
##   ... bootstrap draw number:  709   OK -- niter =   51  fx =    0.017331505 
##   ... bootstrap draw number:  710   OK -- niter =   43  fx =    0.020247440 
##   ... bootstrap draw number:  711   OK -- niter =   49  fx =    0.023272706 
##   ... bootstrap draw number:  712   OK -- niter =   45  fx =    0.035401251 
##   ... bootstrap draw number:  713   OK -- niter =   44  fx =    0.017626523 
##   ... bootstrap draw number:  714   OK -- niter =   43  fx =    0.017493254 
##   ... bootstrap draw number:  715   OK -- niter =   50  fx =    0.024691064 
##   ... bootstrap draw number:  716   OK -- niter =   45  fx =    0.024246129 
##   ... bootstrap draw number:  717   OK -- niter =   53  fx =    0.021056680 
##   ... bootstrap draw number:  718   OK -- niter =   42  fx =    0.014013086 
##   ... bootstrap draw number:  719   OK -- niter =   49  fx =    0.022465680 
##   ... bootstrap draw number:  720   OK -- niter =   47  fx =    0.024703437 
##   ... bootstrap draw number:  721   OK -- niter =   43  fx =    0.025383403 
##   ... bootstrap draw number:  722   OK -- niter =   58  fx =    0.017231563 
##   ... bootstrap draw number:  723   OK -- niter =   52  fx =    0.023194455 
##   ... bootstrap draw number:  724   OK -- niter =   46  fx =    0.020783321 
##   ... bootstrap draw number:  725   OK -- niter =   43  fx =    0.025993745 
##   ... bootstrap draw number:  726   OK -- niter =   44  fx =    0.021292070 
##   ... bootstrap draw number:  727   OK -- niter =   46  fx =    0.023885750 
##   ... bootstrap draw number:  728   OK -- niter =   55  fx =    0.022054084 
##   ... bootstrap draw number:  729   OK -- niter =   50  fx =    0.027463600 
##   ... bootstrap draw number:  730   OK -- niter =   48  fx =    0.023833457 
##   ... bootstrap draw number:  731   OK -- niter =   43  fx =    0.023459048 
##   ... bootstrap draw number:  732   OK -- niter =   51  fx =    0.023608346 
##   ... bootstrap draw number:  733   OK -- niter =   48  fx =    0.020452460 
##   ... bootstrap draw number:  734   OK -- niter =   47  fx =    0.020533034 
##   ... bootstrap draw number:  735   OK -- niter =   60  fx =    0.032582603 
##   ... bootstrap draw number:  736   OK -- niter =   47  fx =    0.021364609 
##   ... bootstrap draw number:  737   OK -- niter =   47  fx =    0.016463805 
##   ... bootstrap draw number:  738   OK -- niter =   46  fx =    0.031069227 
##   ... bootstrap draw number:  739   OK -- niter =   48  fx =    0.019496397 
##   ... bootstrap draw number:  740   OK -- niter =   42  fx =    0.020306223 
##   ... bootstrap draw number:  741   OK -- niter =   79  fx =    0.028999472 
##   ... bootstrap draw number:  742   OK -- niter =   48  fx =    0.022890219 
##   ... bootstrap draw number:  743   OK -- niter =   45  fx =    0.015805772 
##   ... bootstrap draw number:  744   OK -- niter =   48  fx =    0.019354747 
##   ... bootstrap draw number:  745   OK -- niter =   27  fx =    0.017312067 
##   ... bootstrap draw number:  746   OK -- niter =   44  fx =    0.017350708 
##   ... bootstrap draw number:  747   OK -- niter =   44  fx =    0.031867947 
##   ... bootstrap draw number:  748   OK -- niter =   48  fx =    0.024947325 
##   ... bootstrap draw number:  749   OK -- niter =   25  fx =    0.014905812 
##   ... bootstrap draw number:  750   OK -- niter =   47  fx =    0.017826283 
##   ... bootstrap draw number:  751   OK -- niter =   51  fx =    0.019474181 
##   ... bootstrap draw number:  752   OK -- niter =   51  fx =    0.022226718 
##   ... bootstrap draw number:  753   OK -- niter =   46  fx =    0.018050553 
##   ... bootstrap draw number:  754   OK -- niter =   48  fx =    0.031591681 
##   ... bootstrap draw number:  755   OK -- niter =   47  fx =    0.018633784 
##   ... bootstrap draw number:  756   OK -- niter =   45  fx =    0.017325971 
##   ... bootstrap draw number:  757   OK -- niter =   47  fx =    0.023650575 
##   ... bootstrap draw number:  758   OK -- niter =   45  fx =    0.019003829 
##   ... bootstrap draw number:  759   OK -- niter =   43  fx =    0.021923336 
##   ... bootstrap draw number:  760   OK -- niter =   45  fx =    0.022839694 
##   ... bootstrap draw number:  761   OK -- niter =   44  fx =    0.030276024 
##   ... bootstrap draw number:  762   OK -- niter =   53  fx =    0.021003295 
##   ... bootstrap draw number:  763   OK -- niter =   43  fx =    0.018673681 
##   ... bootstrap draw number:  764   OK -- niter =   52  fx =    0.017599180 
##   ... bootstrap draw number:  765   OK -- niter =   46  fx =    0.019940558 
##   ... bootstrap draw number:  766   OK -- niter =   52  fx =    0.026551261 
##   ... bootstrap draw number:  767   OK -- niter =   47  fx =    0.015645038 
##   ... bootstrap draw number:  768   OK -- niter =   39  fx =    0.012785124 
##   ... bootstrap draw number:  769   OK -- niter =   48  fx =    0.030594890 
##   ... bootstrap draw number:  770   OK -- niter =   47  fx =    0.033776248 
##   ... bootstrap draw number:  771   OK -- niter =   44  fx =    0.025093395 
##   ... bootstrap draw number:  772   OK -- niter =   43  fx =    0.017705945 
##   ... bootstrap draw number:  773   OK -- niter =   48  fx =    0.028757915 
##   ... bootstrap draw number:  774   OK -- niter =   42  fx =    0.021689454 
##   ... bootstrap draw number:  775   OK -- niter =   46  fx =    0.022919980 
##   ... bootstrap draw number:  776   OK -- niter =   24  fx =    0.020367214 
##   ... bootstrap draw number:  777   OK -- niter =   42  fx =    0.018410228 
##   ... bootstrap draw number:  778   OK -- niter =   50  fx =    0.025229904 
##   ... bootstrap draw number:  779   OK -- niter =   48  fx =    0.017798835 
##   ... bootstrap draw number:  780   OK -- niter =   44  fx =    0.027341077 
##   ... bootstrap draw number:  781   OK -- niter =   46  fx =    0.019629100 
##   ... bootstrap draw number:  782   OK -- niter =   45  fx =    0.014348748 
##   ... bootstrap draw number:  783   OK -- niter =   49  fx =    0.030550594 
##   ... bootstrap draw number:  784   OK -- niter =   43  fx =    0.022642955 
##   ... bootstrap draw number:  785   OK -- niter =   45  fx =    0.031822269 
##   ... bootstrap draw number:  786   OK -- niter =   44  fx =    0.020283612 
##   ... bootstrap draw number:  787   OK -- niter =   40  fx =    0.018469998 
##   ... bootstrap draw number:  788   OK -- niter =   52  fx =    0.019947465 
##   ... bootstrap draw number:  789   OK -- niter =   45  fx =    0.025918081 
##   ... bootstrap draw number:  790   OK -- niter =   49  fx =    0.026817604 
##   ... bootstrap draw number:  791   OK -- niter =   50  fx =    0.014209226 
##   ... bootstrap draw number:  792   OK -- niter =   46  fx =    0.023892914 
##   ... bootstrap draw number:  793   OK -- niter =   44  fx =    0.026619491 
##   ... bootstrap draw number:  794   OK -- niter =   44  fx =    0.021785947 
##   ... bootstrap draw number:  795   OK -- niter =   42  fx =    0.025340718 
##   ... bootstrap draw number:  796   OK -- niter =   46  fx =    0.024863850 
##   ... bootstrap draw number:  797   OK -- niter =   48  fx =    0.029994986 
##   ... bootstrap draw number:  798   OK -- niter =   48  fx =    0.032459049 
##   ... bootstrap draw number:  799   OK -- niter =   44  fx =    0.018549450 
##   ... bootstrap draw number:  800   OK -- niter =   49  fx =    0.021324089 
##   ... bootstrap draw number:  801   OK -- niter =   43  fx =    0.024187583 
##   ... bootstrap draw number:  802   OK -- niter =   48  fx =    0.019643225 
##   ... bootstrap draw number:  803   OK -- niter =   46  fx =    0.025168559 
##   ... bootstrap draw number:  804   OK -- niter =   49  fx =    0.020765404 
##   ... bootstrap draw number:  805   OK -- niter =   46  fx =    0.014786932 
##   ... bootstrap draw number:  806   OK -- niter =   46  fx =    0.010468514 
##   ... bootstrap draw number:  807   OK -- niter =   45  fx =    0.020641484 
##   ... bootstrap draw number:  808   OK -- niter =   48  fx =    0.023049346 
##   ... bootstrap draw number:  809   OK -- niter =   50  fx =    0.026458254 
##   ... bootstrap draw number:  810   OK -- niter =   51  fx =    0.025622765 
##   ... bootstrap draw number:  811   OK -- niter =   45  fx =    0.021556901 
##   ... bootstrap draw number:  812   OK -- niter =   54  fx =    0.023764893 
##   ... bootstrap draw number:  813   OK -- niter =   53  fx =    0.028313930 
##   ... bootstrap draw number:  814   OK -- niter =   48  fx =    0.023068685 
##   ... bootstrap draw number:  815   OK -- niter =   42  fx =    0.025719112 
##   ... bootstrap draw number:  816   OK -- niter =   51  fx =    0.023351299 
##   ... bootstrap draw number:  817   OK -- niter =   45  fx =    0.015979773 
##   ... bootstrap draw number:  818   OK -- niter =   49  fx =    0.028266021 
##   ... bootstrap draw number:  819   OK -- niter =   44  fx =    0.029248847 
##   ... bootstrap draw number:  820   OK -- niter =   42  fx =    0.029267005 
##   ... bootstrap draw number:  821   OK -- niter =   46  fx =    0.020842062 
##   ... bootstrap draw number:  822   OK -- niter =   44  fx =    0.016824363 
##   ... bootstrap draw number:  823   OK -- niter =   44  fx =    0.028335012 
##   ... bootstrap draw number:  824   OK -- niter =   43  fx =    0.026845700 
##   ... bootstrap draw number:  825   OK -- niter =   44  fx =    0.027891114 
##   ... bootstrap draw number:  826   OK -- niter =   49  fx =    0.025569251 
##   ... bootstrap draw number:  827   OK -- niter =   48  fx =    0.025731722 
##   ... bootstrap draw number:  828   OK -- niter =   48  fx =    0.022745301 
##   ... bootstrap draw number:  829   OK -- niter =   59  fx =    0.029920427 
##   ... bootstrap draw number:  830   OK -- niter =   72  fx =    0.020967712 
##   ... bootstrap draw number:  831   OK -- niter =   52  fx =    0.027014802 
##   ... bootstrap draw number:  832   OK -- niter =   50  fx =    0.022150353 
##   ... bootstrap draw number:  833   OK -- niter =   46  fx =    0.017326506 
##   ... bootstrap draw number:  834   OK -- niter =   52  fx =    0.024747110 
##   ... bootstrap draw number:  835   OK -- niter =   43  fx =    0.022781640 
##   ... bootstrap draw number:  836   OK -- niter =   47  fx =    0.018773210 
##   ... bootstrap draw number:  837   OK -- niter =   46  fx =    0.020621972 
##   ... bootstrap draw number:  838   OK -- niter =   49  fx =    0.017218724 
##   ... bootstrap draw number:  839   OK -- niter =   45  fx =    0.026835937 
##   ... bootstrap draw number:  840   OK -- niter =   47  fx =    0.014822838 
##   ... bootstrap draw number:  841   OK -- niter =   46  fx =    0.018693712 
##   ... bootstrap draw number:  842   OK -- niter =   43  fx =    0.018483526 
##   ... bootstrap draw number:  843   OK -- niter =   46  fx =    0.030389317 
##   ... bootstrap draw number:  844   OK -- niter =   42  fx =    0.022448585 
##   ... bootstrap draw number:  845   OK -- niter =   43  fx =    0.020384353 
##   ... bootstrap draw number:  846   OK -- niter =   46  fx =    0.021109983 
##   ... bootstrap draw number:  847   OK -- niter =   48  fx =    0.017327491 
##   ... bootstrap draw number:  848   OK -- niter =   48  fx =    0.019176974 
##   ... bootstrap draw number:  849   OK -- niter =   51  fx =    0.032376002 
##   ... bootstrap draw number:  850   OK -- niter =   51  fx =    0.016796147 
##   ... bootstrap draw number:  851   OK -- niter =   42  fx =    0.013643078 
##   ... bootstrap draw number:  852   OK -- niter =   56  fx =    0.025025533 
##   ... bootstrap draw number:  853   OK -- niter =   51  fx =    0.019104976 
##   ... bootstrap draw number:  854   OK -- niter =   43  fx =    0.024832757 
##   ... bootstrap draw number:  855   OK -- niter =   44  fx =    0.015304258 
##   ... bootstrap draw number:  856   OK -- niter =   43  fx =    0.027357611 
##   ... bootstrap draw number:  857   OK -- niter =   43  fx =    0.026310603 
##   ... bootstrap draw number:  858   OK -- niter =   55  fx =    0.019101042 
##   ... bootstrap draw number:  859   OK -- niter =   51  fx =    0.025398326 
##   ... bootstrap draw number:  860   OK -- niter =   50  fx =    0.018020815 
##   ... bootstrap draw number:  861   OK -- niter =   44  fx =    0.021089010 
##   ... bootstrap draw number:  862   OK -- niter =   45  fx =    0.024401618 
##   ... bootstrap draw number:  863   OK -- niter =   44  fx =    0.024594704 
##   ... bootstrap draw number:  864   OK -- niter =   48  fx =    0.020921016 
##   ... bootstrap draw number:  865   OK -- niter =   46  fx =    0.028370712 
##   ... bootstrap draw number:  866   OK -- niter =   46  fx =    0.025968666 
##   ... bootstrap draw number:  867   OK -- niter =   44  fx =    0.024381187 
##   ... bootstrap draw number:  868   OK -- niter =   46  fx =    0.013923800 
##   ... bootstrap draw number:  869   OK -- niter =   44  fx =    0.017832182 
##   ... bootstrap draw number:  870   OK -- niter =   43  fx =    0.012732329 
##   ... bootstrap draw number:  871   OK -- niter =   43  fx =    0.020661606 
##   ... bootstrap draw number:  872   OK -- niter =   46  fx =    0.020999931 
##   ... bootstrap draw number:  873   OK -- niter =   44  fx =    0.019286663 
##   ... bootstrap draw number:  874   OK -- niter =   43  fx =    0.026694606 
##   ... bootstrap draw number:  875   OK -- niter =   44  fx =    0.026721686 
##   ... bootstrap draw number:  876   OK -- niter =   47  fx =    0.025211295 
##   ... bootstrap draw number:  877   OK -- niter =   44  fx =    0.025373213 
##   ... bootstrap draw number:  878   OK -- niter =   44  fx =    0.039911022 
##   ... bootstrap draw number:  879   OK -- niter =   55  fx =    0.023322597 
##   ... bootstrap draw number:  880   OK -- niter =   44  fx =    0.019298174 
##   ... bootstrap draw number:  881   OK -- niter =   55  fx =    0.016829822 
##   ... bootstrap draw number:  882   OK -- niter =   45  fx =    0.024768558 
##   ... bootstrap draw number:  883   OK -- niter =   51  fx =    0.022958922 
##   ... bootstrap draw number:  884   OK -- niter =   47  fx =    0.021248976 
##   ... bootstrap draw number:  885   OK -- niter =   50  fx =    0.026565693 
##   ... bootstrap draw number:  886   OK -- niter =   55  fx =    0.027243404 
##   ... bootstrap draw number:  887   OK -- niter =   45  fx =    0.014565514 
##   ... bootstrap draw number:  888   OK -- niter =   47  fx =    0.029320049 
##   ... bootstrap draw number:  889   OK -- niter =   46  fx =    0.020588835 
##   ... bootstrap draw number:  890   OK -- niter =   47  fx =    0.022794794 
##   ... bootstrap draw number:  891   OK -- niter =   46  fx =    0.026452775 
##   ... bootstrap draw number:  892   OK -- niter =   55  fx =    0.024822249 
##   ... bootstrap draw number:  893   OK -- niter =   53  fx =    0.029665482 
##   ... bootstrap draw number:  894   OK -- niter =   47  fx =    0.026671061 
##   ... bootstrap draw number:  895   OK -- niter =   48  fx =    0.011195522 
##   ... bootstrap draw number:  896   OK -- niter =   44  fx =    0.026777680 
##   ... bootstrap draw number:  897   OK -- niter =   42  fx =    0.025439168 
##   ... bootstrap draw number:  898   OK -- niter =   45  fx =    0.021855233 
##   ... bootstrap draw number:  899   OK -- niter =   47  fx =    0.027499366 
##   ... bootstrap draw number:  900   OK -- niter =   42  fx =    0.030329078 
##   ... bootstrap draw number:  901   OK -- niter =   49  fx =    0.015795437 
##   ... bootstrap draw number:  902   OK -- niter =   53  fx =    0.025197776 
##   ... bootstrap draw number:  903   OK -- niter =   44  fx =    0.028251798 
##   ... bootstrap draw number:  904   OK -- niter =   50  fx =    0.019027738 
##   ... bootstrap draw number:  905   OK -- niter =   41  fx =    0.019589166 
##   ... bootstrap draw number:  906   OK -- niter =   50  fx =    0.027029705 
##   ... bootstrap draw number:  907   OK -- niter =   52  fx =    0.016943924 
##   ... bootstrap draw number:  908   OK -- niter =   42  fx =    0.019245185 
##   ... bootstrap draw number:  909   OK -- niter =   43  fx =    0.021250387 
##   ... bootstrap draw number:  910   OK -- niter =   41  fx =    0.017583888 
##   ... bootstrap draw number:  911   OK -- niter =   57  fx =    0.017317714 
##   ... bootstrap draw number:  912   OK -- niter =   47  fx =    0.028776050 
##   ... bootstrap draw number:  913   OK -- niter =   44  fx =    0.012236675 
##   ... bootstrap draw number:  914   OK -- niter =   44  fx =    0.018277825 
##   ... bootstrap draw number:  915   OK -- niter =   45  fx =    0.018414232 
##   ... bootstrap draw number:  916   OK -- niter =   67  fx =    0.025386236 
##   ... bootstrap draw number:  917   OK -- niter =   53  fx =    0.026526334 
##   ... bootstrap draw number:  918   OK -- niter =   41  fx =    0.030030550 
##   ... bootstrap draw number:  919   OK -- niter =   42  fx =    0.023154014 
##   ... bootstrap draw number:  920   OK -- niter =   43  fx =    0.020139166 
##   ... bootstrap draw number:  921   OK -- niter =   43  fx =    0.028325375 
##   ... bootstrap draw number:  922   OK -- niter =   54  fx =    0.024754559 
##   ... bootstrap draw number:  923   OK -- niter =   54  fx =    0.020194499 
##   ... bootstrap draw number:  924   OK -- niter =   45  fx =    0.021933642 
##   ... bootstrap draw number:  925   OK -- niter =   44  fx =    0.022552356 
##   ... bootstrap draw number:  926   OK -- niter =   43  fx =    0.028492935 
##   ... bootstrap draw number:  927   OK -- niter =   46  fx =    0.027884761 
##   ... bootstrap draw number:  928   OK -- niter =   46  fx =    0.032347635 
##   ... bootstrap draw number:  929   OK -- niter =   49  fx =    0.028936197 
##   ... bootstrap draw number:  930   OK -- niter =   44  fx =    0.016713929 
##   ... bootstrap draw number:  931   OK -- niter =   52  fx =    0.023251784 
##   ... bootstrap draw number:  932   OK -- niter =   50  fx =    0.025157629 
##   ... bootstrap draw number:  933   OK -- niter =   27  fx =    0.023517232 
##   ... bootstrap draw number:  934   OK -- niter =   43  fx =    0.021016921 
##   ... bootstrap draw number:  935   OK -- niter =   45  fx =    0.027317168 
##   ... bootstrap draw number:  936   OK -- niter =   44  fx =    0.016917742 
##   ... bootstrap draw number:  937   OK -- niter =   47  fx =    0.018600358 
##   ... bootstrap draw number:  938   OK -- niter =   45  fx =    0.027398933 
##   ... bootstrap draw number:  939   OK -- niter =   42  fx =    0.019882643 
##   ... bootstrap draw number:  940   OK -- niter =   45  fx =    0.022700338 
##   ... bootstrap draw number:  941   OK -- niter =   43  fx =    0.025995514 
##   ... bootstrap draw number:  942   OK -- niter =   44  fx =    0.024117838 
##   ... bootstrap draw number:  943   OK -- niter =   44  fx =    0.025650776 
##   ... bootstrap draw number:  944   OK -- niter =   44  fx =    0.022382917 
##   ... bootstrap draw number:  945   OK -- niter =   43  fx =    0.015421655 
##   ... bootstrap draw number:  946   OK -- niter =   47  fx =    0.021797376 
##   ... bootstrap draw number:  947   OK -- niter =   49  fx =    0.025921381 
##   ... bootstrap draw number:  948   OK -- niter =   44  fx =    0.020657052 
##   ... bootstrap draw number:  949   OK -- niter =   47  fx =    0.024346856 
##   ... bootstrap draw number:  950   OK -- niter =   42  fx =    0.024694735 
##   ... bootstrap draw number:  951   OK -- niter =   44  fx =    0.025322615 
##   ... bootstrap draw number:  952   OK -- niter =   44  fx =    0.016429603 
##   ... bootstrap draw number:  953   OK -- niter =   45  fx =    0.025944306 
##   ... bootstrap draw number:  954   OK -- niter =   47  fx =    0.026413586 
##   ... bootstrap draw number:  955   OK -- niter =   52  fx =    0.016273678 
##   ... bootstrap draw number:  956   OK -- niter =   49  fx =    0.020750222 
##   ... bootstrap draw number:  957   OK -- niter =   46  fx =    0.027741326 
##   ... bootstrap draw number:  958   OK -- niter =   53  fx =    0.017584960 
##   ... bootstrap draw number:  959   OK -- niter =   42  fx =    0.031840406 
##   ... bootstrap draw number:  960   OK -- niter =   48  fx =    0.018568451 
##   ... bootstrap draw number:  961   OK -- niter =   47  fx =    0.023273185 
##   ... bootstrap draw number:  962   OK -- niter =   45  fx =    0.025014357 
##   ... bootstrap draw number:  963   OK -- niter =   42  fx =    0.013502737 
##   ... bootstrap draw number:  964   OK -- niter =   54  fx =    0.018791448 
##   ... bootstrap draw number:  965   OK -- niter =   44  fx =    0.018208004 
##   ... bootstrap draw number:  966   OK -- niter =   47  fx =    0.018084117 
##   ... bootstrap draw number:  967   OK -- niter =   46  fx =    0.015603945 
##   ... bootstrap draw number:  968   OK -- niter =   46  fx =    0.028443308 
##   ... bootstrap draw number:  969   OK -- niter =   48  fx =    0.027766728 
##   ... bootstrap draw number:  970   OK -- niter =   44  fx =    0.017903094 
##   ... bootstrap draw number:  971   OK -- niter =   42  fx =    0.027404737 
##   ... bootstrap draw number:  972   OK -- niter =   44  fx =    0.022987483 
##   ... bootstrap draw number:  973   OK -- niter =   49  fx =    0.021096962 
##   ... bootstrap draw number:  974   OK -- niter =   45  fx =    0.017614530 
##   ... bootstrap draw number:  975   OK -- niter =   47  fx =    0.023142346 
##   ... bootstrap draw number:  976   OK -- niter =   51  fx =    0.030840103 
##   ... bootstrap draw number:  977   OK -- niter =   42  fx =    0.016417971 
##   ... bootstrap draw number:  978   OK -- niter =   49  fx =    0.023166072 
##   ... bootstrap draw number:  979   OK -- niter =   47  fx =    0.018849862 
##   ... bootstrap draw number:  980   OK -- niter =   47  fx =    0.020233867 
##   ... bootstrap draw number:  981   OK -- niter =   24  fx =    0.025956899 
##   ... bootstrap draw number:  982   OK -- niter =   53  fx =    0.027068788 
##   ... bootstrap draw number:  983   OK -- niter =   46  fx =    0.023211580 
##   ... bootstrap draw number:  984   OK -- niter =   43  fx =    0.019761567 
##   ... bootstrap draw number:  985   OK -- niter =   49  fx =    0.025568093 
##   ... bootstrap draw number:  986   OK -- niter =   47  fx =    0.019560174 
##   ... bootstrap draw number:  987   OK -- niter =   45  fx =    0.024789723 
##   ... bootstrap draw number:  988   OK -- niter =   41  fx =    0.035223256 
##   ... bootstrap draw number:  989   OK -- niter =   52  fx =    0.023340883 
##   ... bootstrap draw number:  990   OK -- niter =   41  fx =    0.019146866 
##   ... bootstrap draw number:  991   OK -- niter =   51  fx =    0.024284213 
##   ... bootstrap draw number:  992   OK -- niter =   44  fx =    0.029974395 
##   ... bootstrap draw number:  993   OK -- niter =   48  fx =    0.028438065 
##   ... bootstrap draw number:  994   OK -- niter =   48  fx =    0.021096509 
##   ... bootstrap draw number:  995   OK -- niter =   43  fx =    0.021194098 
##   ... bootstrap draw number:  996   OK -- niter =   47  fx =    0.025295991 
##   ... bootstrap draw number:  997   OK -- niter =   45  fx =    0.024140955 
##   ... bootstrap draw number:  998   OK -- niter =   75  fx =    0.037265406 
##   ... bootstrap draw number:  999   OK -- niter =   51  fx =    0.020652497 
##   ... bootstrap draw number: 1000   OK -- niter =   43  fx =    0.029454065 
## Number of successful bootstrap draws: 1000 
##  done.
## Computing TEST for test = standard ... done.
## Warning in lav_object_post_check(object): lavaan WARNING: some estimated ov
## variances are negative
#fitmeasures
fitMeasures(pc2016.fit2)
##                          npar                          fmin 
##                        15.000                         0.022 
##                         chisq                            df 
##                       105.776                         5.000 
##                        pvalue                  chisq.scaled 
##                         0.000                       101.520 
##                     df.scaled                 pvalue.scaled 
##                         5.000                         0.000 
##          chisq.scaling.factor                baseline.chisq 
##                         1.042                      1692.805 
##                   baseline.df               baseline.pvalue 
##                        10.000                         0.000 
##         baseline.chisq.scaled            baseline.df.scaled 
##                      1115.088                        10.000 
##        baseline.pvalue.scaled baseline.chisq.scaling.factor 
##                         0.000                         1.518 
##                           cfi                           tli 
##                         0.940                         0.880 
##                          nnfi                           rfi 
##                         0.880                         0.875 
##                           nfi                          pnfi 
##                         0.938                         0.469 
##                           ifi                           rni 
##                         0.940                         0.940 
##                    cfi.scaled                    tli.scaled 
##                         0.913                         0.825 
##                    cfi.robust                    tli.robust 
##                         0.940                         0.880 
##                   nnfi.scaled                   nnfi.robust 
##                         0.825                         0.880 
##                    rfi.scaled                    nfi.scaled 
##                         0.818                         0.909 
##                    ifi.scaled                    rni.scaled 
##                         0.913                         0.913 
##                    rni.robust                          logl 
##                         0.940                    -53841.964 
##             unrestricted.logl                           aic 
##                    -53789.076                    107713.928 
##                           bic                        ntotal 
##                    107800.887                      2434.000 
##                          bic2             scaling.factor.h1 
##                    107753.229                         1.561 
##             scaling.factor.h0                         rmsea 
##                         1.734                         0.091 
##                rmsea.ci.lower                rmsea.ci.upper 
##                         0.076                         0.106 
##                  rmsea.pvalue                  rmsea.scaled 
##                         0.000                         0.089 
##         rmsea.ci.lower.scaled         rmsea.ci.upper.scaled 
##                         0.075                         0.104 
##           rmsea.pvalue.scaled                  rmsea.robust 
##                         0.000                         0.091 
##         rmsea.ci.lower.robust         rmsea.ci.upper.robust 
##                         0.076                         0.107 
##           rmsea.pvalue.robust                           rmr 
##                            NA                       255.803 
##                    rmr_nomean                          srmr 
##                       295.376                         0.040 
##                  srmr_bentler           srmr_bentler_nomean 
##                         0.040                         0.046 
##                          crmr                   crmr_nomean 
##                         0.046                         0.056 
##                    srmr_mplus             srmr_mplus_nomean 
##                         0.040                         0.046 
##                         cn_05                         cn_01 
##                       255.743                       348.150 
##                           gfi                          agfi 
##                         1.000                         0.999 
##                          pgfi                           mfi 
##                         0.250                         0.980 
##                          ecvi 
##                         0.056
#fit measures for first simple model)
fitMeasures(pc2016.fit)
##                npar                fmin               chisq 
##              10.000               0.022             105.776 
##                  df              pvalue      baseline.chisq 
##               5.000               0.000            1692.805 
##         baseline.df     baseline.pvalue                 cfi 
##              10.000               0.000               0.940 
##                 tli                nnfi                 rfi 
##               0.880               0.880               0.875 
##                 nfi                pnfi                 ifi 
##               0.938               0.469               0.940 
##                 rni                logl   unrestricted.logl 
##               0.940          -53841.964          -53789.076 
##                 aic                 bic              ntotal 
##          107703.928          107761.901            2434.000 
##                bic2               rmsea      rmsea.ci.lower 
##          107730.128               0.091               0.076 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.106               0.000             295.377 
##          rmr_nomean                srmr        srmr_bentler 
##             295.377               0.046               0.046 
## srmr_bentler_nomean                crmr         crmr_nomean 
##               0.046               0.056               0.056 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.046               0.046             255.743 
##               cn_01                 gfi                agfi 
##             348.150               0.983               0.950 
##                pgfi                 mfi                ecvi 
##               0.328               0.980               0.052
#parameter table
parameterTable(pc2016.fit)
##    id                   lhs op                   rhs user block group free
## 1   1                   imm =~        pc_immun_class    1     1     1    1
## 2   2                   imm =~           IRSAD_SCORE    1     1     1    2
## 3   3                   imm =~       political_score    1     1     1    3
## 4   4                   imm =~ govt_funds_per_person    1     1     1    4
## 5   5                   imm =~         mean_tax_000s    1     1     1    5
## 6   6        pc_immun_class ~~        pc_immun_class    0     1     1    6
## 7   7           IRSAD_SCORE ~~           IRSAD_SCORE    0     1     1    7
## 8   8       political_score ~~       political_score    0     1     1    8
## 9   9 govt_funds_per_person ~~ govt_funds_per_person    0     1     1    9
## 10 10         mean_tax_000s ~~         mean_tax_000s    0     1     1   10
## 11 11                   imm ~~                   imm    0     1     1    0
##    ustart exo label plabel      start        est        se
## 1      NA   0         .p1.      1.275      0.775     0.077
## 2      NA   0         .p2.     53.194     50.348     2.628
## 3      NA   0         .p3.     -0.108     -0.077     0.033
## 4      NA   0         .p4.     78.262     60.321    13.239
## 5      NA   0         .p5.     14.385     16.809     0.788
## 6      NA   0         .p6.      5.990     11.380     0.331
## 7      NA   0         .p7.   2873.802   3212.642   244.649
## 8      NA   0         .p8.      1.354      2.702     0.077
## 9      NA   0         .p9. 206960.112 410281.632 11764.479
## 10     NA   0        .p10.    139.984     -2.577    25.263
## 11      1   0        .p11.      1.000      1.000     0.000
 #read in the data for 2015 only
#try this to stop data confusion
char_data <- read.csv('../cleaned_data/2015_dataREDUCED.csv')
str(char_data)
## 'data.frame':    7559 obs. of  18 variables:
##  $ postcode       : int  800 800 800 810 810 810 812 812 812 820 ...
##  $ state          : Factor w/ 13 levels "","ACT","NSW",..: 7 7 7 7 7 7 7 7 7 7 ...
##  $ year           : int  2015 2015 2015 2015 2015 2015 2015 2015 2015 2015 ...
##  $ age            : int  1 5 2 2 1 5 2 5 1 2 ...
##  $ pc_immun       : Factor w/ 10 levels "","<70.0","70.0-74.9",..: 6 6 4 7 7 7 7 7 8 7 ...
##  $ caution        : int  1 1 1 0 0 0 0 0 0 0 ...
##  $ pc_immun_class : int  5 5 3 6 6 6 6 6 7 6 ...
##  $ PHN_code       : Factor w/ 32 levels "","PHN101","PHN102",..: 31 31 31 31 31 31 31 31 31 31 ...
##  $ PHN_number     : int  701 701 701 701 701 701 701 701 701 701 ...
##  $ IEO_SCORE      : int  1077 1077 1077 1051 1051 1051 1007 1007 1007 1081 ...
##  $ IER_SCORE      : int  952 952 952 1008 1008 1008 1015 1015 1015 1008 ...
##  $ IRSAD_SCORE    : int  1072 1072 1072 1037 1037 1037 1019 1019 1019 1076 ...
##  $ IRSAD_URP      : int  4564 4564 4564 29725 29725 29725 19334 19334 19334 19057 ...
##  $ IRSD_SCORE     : int  1060 1060 1060 1027 1027 1027 1013 1013 1013 1067 ...
##  $ electorate     : Factor w/ 151 levels "","Adelaide",..: 137 137 137 137 137 137 137 137 137 137 ...
##  $ mean_tax_000s  : num  71.3 71.3 71.3 64.7 64.7 ...
##  $ political_score: num  6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 ...
##  $ per_capita     : Factor w/ 2178 levels "","#VALUE!","0",..: 223 223 223 2018 2018 2018 1597 1597 1597 1582 ...
#Need to make the factors ordered factors to work in Lavaan
char_data$postcode = postcode_factor_ordered <- factor(char_data$postcode, ordered = TRUE)
char_data$state = state_factor_ordered <- factor(char_data$state, ordered = TRUE)
char_data$pc_immun = pc_immun_factor_ordered <- factor(char_data$pc_immun, ordered = TRUE)
char_data$PHN_code = PHN_code_factor_ordered <- factor(char_data$PHN_code, ordered = TRUE)
char_data$electorate = electorate_factor_ordered <- factor(char_data$electorate, ordered = TRUE)
char_data$per_capita = funds_ordered <- as.numeric(char_data$per_capita)
glimpse(char_data)
## Observations: 7,559
## Variables: 18
## $ postcode        <ord> 800, 800, 800, 810, 810, 810, 812, 812, 812, 8...
## $ state           <ord> NT, NT, NT, NT, NT, NT, NT, NT, NT, NT, NT, NT...
## $ year            <int> 2015, 2015, 2015, 2015, 2015, 2015, 2015, 2015...
## $ age             <int> 1, 5, 2, 2, 1, 5, 2, 5, 1, 2, 5, 1, 1, 5, 2, 1...
## $ pc_immun        <ord> 85.0-89.9, 85.0-89.9, 75.0-79.9, 90.0-92.4, 90...
## $ caution         <int> 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0...
## $ pc_immun_class  <int> 5, 5, 3, 6, 6, 6, 6, 6, 7, 6, 5, 6, 7, 7, 7, 0...
## $ PHN_code        <ord> PHN701, PHN701, PHN701, PHN701, PHN701, PHN701...
## $ PHN_number      <int> 701, 701, 701, 701, 701, 701, 701, 701, 701, 7...
## $ IEO_SCORE       <int> 1077, 1077, 1077, 1051, 1051, 1051, 1007, 1007...
## $ IER_SCORE       <int> 952, 952, 952, 1008, 1008, 1008, 1015, 1015, 1...
## $ IRSAD_SCORE     <int> 1072, 1072, 1072, 1037, 1037, 1037, 1019, 1019...
## $ IRSAD_URP       <int> 4564, 4564, 4564, 29725, 29725, 29725, 19334, ...
## $ IRSD_SCORE      <int> 1060, 1060, 1060, 1027, 1027, 1027, 1013, 1013...
## $ electorate      <ord> Solomon, Solomon, Solomon, Solomon, Solomon, S...
## $ mean_tax_000s   <dbl> 71.263, 71.263, 71.263, 64.719, 64.719, 64.719...
## $ political_score <dbl> 6.50, 6.50, 6.50, 6.50, 6.50, 6.50, 6.50, 6.50...
## $ per_capita      <dbl> 223, 223, 223, 2018, 2018, 2018, 1597, 1597, 1...

Calculate per capita spend Govt spent $8.4m, population total was 24 127 200 in 2015-16

calculate government funding per postcode

#We have the SEIFA URP which has the usual resident population per postcode #First get per person amount

#total_population15 <- (24127200)
#total_immun_spend15 <- (8400000)
#per_capita15 <- total_population15/total_immun_spend15
#per_capita15
#2.87228 spend per person

Filter for 5 year olds

#filter just by 5 year olds - as the per capita info in spreadsheet is duplicating by age group
Five_Data15 = char_data%>%
  filter(age == 5) 
#make sure all are ordered factors, as data seems to have changed from previous str
Five_Data15$per_capita = funds_ordered <- as.numeric(Five_Data15$per_capita)
glimpse(Five_Data15)
## Observations: 2,422
## Variables: 18
## $ postcode        <ord> 800, 810, 812, 820, 822, 828, 830, 832, 835, 8...
## $ state           <ord> NT, NT, NT, NT, NT, NT, NT, NT, NT, NT, NT, NT...
## $ year            <int> 2015, 2015, 2015, 2015, 2015, 2015, 2015, 2015...
## $ age             <int> 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5...
## $ pc_immun        <ord> 85.0-89.9, 90.0-92.4, 90.0-92.4, 85.0-89.9, 92...
## $ caution         <int> 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0...
## $ pc_immun_class  <int> 5, 6, 6, 5, 7, 0, 7, 7, 8, 7, 0, 0, 0, 0, 0, 0...
## $ PHN_code        <ord> PHN701, PHN701, PHN701, PHN701, PHN701, PHN701...
## $ PHN_number      <int> 701, 701, 701, 701, 701, 701, 701, 701, 701, 7...
## $ IEO_SCORE       <int> 1077, 1051, 1007, 1081, 882, 973, 966, 1013, 9...
## $ IER_SCORE       <int> 952, 1008, 1015, 1008, 645, 958, 991, 1060, 10...
## $ IRSAD_SCORE     <int> 1072, 1037, 1019, 1076, 702, 972, 996, 1076, 1...
## $ IRSAD_URP       <int> 4564, 29725, 19334, 19057, 24120, 1699, 17990,...
## $ IRSD_SCORE      <int> 1060, 1027, 1013, 1067, 630, 970, 991, 1069, 1...
## $ electorate      <ord> Solomon, Solomon, Solomon, Solomon, Lingiari, ...
## $ mean_tax_000s   <dbl> 71.263, 64.719, 63.273, 79.588, 45.882, 71.860...
## $ political_score <dbl> 6.50, 6.50, 6.50, 6.50, 5.25, 6.50, 6.50, 6.50...
## $ per_capita      <dbl> 223, 2018, 1597, 1582, 1821, 1460, 1517, 877, ...
str(Five_Data15)
## 'data.frame':    2422 obs. of  18 variables:
##  $ postcode       : Ord.factor w/ 2462 levels "800"<"810"<"812"<..: 1 2 3 4 5 6 7 8 9 10 ...
##  $ state          : Ord.factor w/ 13 levels ""<"ACT"<"NSW"<..: 7 7 7 7 7 7 7 7 7 7 ...
##  $ year           : int  2015 2015 2015 2015 2015 2015 2015 2015 2015 2015 ...
##  $ age            : int  5 5 5 5 5 5 5 5 5 5 ...
##  $ pc_immun       : Ord.factor w/ 10 levels ""<"<70.0"<"70.0-74.9"<..: 6 7 7 6 8 10 8 8 9 8 ...
##  $ caution        : int  1 0 0 0 0 0 0 0 1 1 ...
##  $ pc_immun_class : int  5 6 6 5 7 0 7 7 8 7 ...
##  $ PHN_code       : Ord.factor w/ 32 levels ""<"PHN101"<"PHN102"<..: 31 31 31 31 31 31 31 31 31 31 ...
##  $ PHN_number     : int  701 701 701 701 701 701 701 701 701 701 ...
##  $ IEO_SCORE      : int  1077 1051 1007 1081 882 973 966 1013 991 968 ...
##  $ IER_SCORE      : int  952 1008 1015 1008 645 958 991 1060 1087 1088 ...
##  $ IRSAD_SCORE    : int  1072 1037 1019 1076 702 972 996 1076 1054 1041 ...
##  $ IRSAD_URP      : int  4564 29725 19334 19057 24120 1699 17990 9671 5194 7092 ...
##  $ IRSD_SCORE     : int  1060 1027 1013 1067 630 970 991 1069 1054 1035 ...
##  $ electorate     : Ord.factor w/ 151 levels ""<"Adelaide"<..: 137 137 137 137 91 137 137 137 91 91 ...
##  $ mean_tax_000s  : num  71.3 64.7 63.3 79.6 45.9 ...
##  $ political_score: num  6.5 6.5 6.5 6.5 5.25 6.5 6.5 6.5 4 4 ...
##  $ per_capita     : num  223 2018 1597 1582 1821 ...
#Our geo factor is measured by PHN, IRSAD score and pc immun class
geo_2015.model <- 'imm =~ mean_tax_000s + political_score + IRSAD_SCORE + per_capita + pc_immun_class'
geo_2015.fit <- cfa(model = geo_2015.model,
                  data = Five_Data15)
## Warning in lav_data_full(data = data, group = group, cluster = cluster, :
## lavaan WARNING: some observed variances are (at least) a factor 1000 times
## larger than others; use varTable(fit) to investigate
summary(geo_2015.fit, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-3 ended normally after 117 iterations
## 
##   Optimization method                           NLMINB
##   Number of free parameters                         10
## 
##                                                   Used       Total
##   Number of observations                          2388        2422
## 
##   Estimator                                         ML
##   Model Fit Test Statistic                     141.382
##   Degrees of freedom                                 5
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             1440.151
##   Degrees of freedom                                10
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.905
##   Tucker-Lewis Index (TLI)                       0.809
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -52778.945
##   Loglikelihood unrestricted model (H1)     -52708.254
## 
##   Number of free parameters                         10
##   Akaike (AIC)                              105577.890
##   Bayesian (BIC)                            105635.672
##   Sample-size adjusted Bayesian (BIC)       105603.900
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.107
##   90 Percent Confidence Interval          0.092  0.122
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.052
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Information saturated (h1) model          Structured
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate    Std.Err   z-value  P(>|z|)   Std.lv  
##   imm =~                                                            
##     mean_tax_000s       1.000                                 15.756
##     political_scor     -0.004     0.002   -1.954    0.051     -0.069
##     IRSAD_SCORE         3.177     0.307   10.345    0.000     50.052
##     per_capita          1.720     0.879    1.955    0.051     27.093
##     pc_immun_class      0.052     0.006    8.280    0.000      0.826
##   Std.all
##          
##     0.939
##    -0.043
##     0.660
##     0.043
##     0.246
## 
## Variances:
##                    Estimate    Std.Err   z-value  P(>|z|)   Std.lv  
##    .mean_tax_000s      33.022    23.330    1.415    0.157     33.022
##    .political_scor      2.566     0.074   34.546    0.000      2.566
##    .IRSAD_SCORE      3248.726   253.341   12.824    0.000   3248.726
##    .per_capita     398235.153 11527.582   34.546    0.000 398235.153
##    .pc_immun_class     10.565     0.312   33.807    0.000     10.565
##     imm               248.255    24.673   10.062    0.000      1.000
##   Std.all
##     0.117
##     0.998
##     0.565
##     0.998
##     0.939
##     1.000
lavInspect(geo_2015.fit, what="estimates")
## $lambda
##                    imm
## mean_tax_000s    1.000
## political_score -0.004
## IRSAD_SCORE      3.177
## per_capita       1.720
## pc_immun_class   0.052
## 
## $theta
##                 m__000     pltcl_     IRSAD_     pr_cpt     pc_mm_    
## mean_tax_000s       33.022                                            
## political_score      0.000      2.566                                 
## IRSAD_SCORE          0.000      0.000   3248.726                      
## per_capita           0.000      0.000      0.000 398235.153           
## pc_immun_class       0.000      0.000      0.000      0.000     10.565
## 
## $psi
##     imm    
## imm 248.255
semPaths(geo_2015.fit,  what = "stand", rotation = 4)

semCors(geo_2015.fit)

semCors(geo_2015.fit, titles = TRUE)

Now let’s build a more complete model using the two years to see if things can be confirmed

# we will expect the mean tax data to be correlated, as it was repeated across the years due to lack of availability in 2016