Dear all,

I want to apply weights to my sample data set and I am struggling with the
Efron Approximation with weights.

I have got one sample data shown as below:

customer        week    arrest  fin     age     race    weight 1        weight 
2        weight 3
1       20      1       1       27      1       2       15      2
2       17      1       0       18      1       2       19      1
3       25      1       1       19      0       2       20      1
4       52      0       1       23      1       2       5       1
5       52      0       0       19      0       2       11      1
6       25      1       0       19      0       2       26      1
                                                                
I applied four different weighted Efron Formulas (all are derived by myself)
to the data set above and have got the following results for 3 weight sets
based on those 4 formulas, respectively.

weight 1        Formula 1       Formula 2         Formula 3          Formula 4  
     
R software      replicated by weights           
fin        -0.235912234  -0.530843641  -0.471823965     -0.471823965  
-0.4718          -0.5308                
age      -0.052005981   -0.122613988     -0.104018973     -0.104018973   -0.104
-0.1226         
race    0.637573013  1.404345693          1.275165398   1.275165398     1.2752  
  1.4043                
                                                                
weight 2        Formula 1      Formula 2         Formula 3      Formula 4       
R
software    replicated by weight                
fin     0.600334761  -0.32212452          -0.178028949  -0.244162408  -0.25062  
-0.32212                
age     0.105321888  -0.214932275         -0.112459016  -0.146957807  -0.14607  
-0.21493                
race    5.742146326  2.258934182            2.043479975 1.921804334     1.94056
2.25893         
                                                                
weight 3        Formula 1       Formula 2        Formula 3           Formula 4  
    
R software      replicated by weights           
fin     -0.984946984  -0.909980273  -0.333235566        -0.80272443    -0.802724
-0.90998                
age     0.036891147     0.03225069         -0.194126398 -0.004544225   -0.004544
0.03225         
race    0.962911927     1.305255425    1.435340831      1.318038014      
1.318038
1.30526         

"replicated by weights" means that I also replicated individuals as many
times as indicated by weights and applied unweighted Efron approximation to
the replication of the dataset. 

The formula 4 can give me same results as the unweighted ones if I apply the
same weights to each individual and also can give me the close results to
the ones calculated by R (efron method+weights) if I apply different weights
to each individual. these results are close to the R's but not exactly the
same. 

I don't know why and what the problem is with my formulas. Could anyone give
me some help, please?

I will really appreciate it.

I have attached my four weighted Efron formulas with this message already.
Bessy 
http://www.nabble.com/file/p24410214/Weighted%2BEfron%2BApproximation_Formulas_Examples.pdf
Weighted+Efron+Approximation_Formulas_Examples.pdf 
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