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CCP4BB  January 2010

CCP4BB January 2010

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Subject:

Re: R-sym and R-merge

From:

Phil Evans <[log in to unmask]>

Reply-To:

Phil Evans <[log in to unmask]>

Date:

Thu, 21 Jan 2010 22:40:13 +0000

Content-Type:

text/plain

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text/plain (357 lines)

I've never been able to discover any difference between Rsym & Rmerge
Phil

On 21 Jan 2010, at 18:34, james09 pruza wrote:

> Dear All CCP4bbers,
> 
> Please help me in finding *R-sym I *(observed), *R-merge I*(obseved), *R-Free
> Error i*n the data provided below. If I am not wrong, Can anyone suggest me
> the difference between R-sym and R-merge?
> 
> Thanks in advance for the help.
> 
> James*
> *
> 
> R-values of internal consistency :
> ========    --------------------
> (Anomalous scaling counts I+ and I- as separate hkl.)
> 
> R-merge ( sum |Ij-<I>| / sum |<I>| ) = 23.4 %   ( 21.57 % for Fsq > 0)
>         where <I>=sum(Ij)/N, j=1...N,
>         calculated from 188629 observations of 60655 /+//-/ reflexions
> 
> - dito within user-defined resolution: 23.4 %
>         calculated from 188182 observations of 60508 /+//-/ reflexions
> 
> 
> Sigma-weighted R-merge :
>     ( sum wj*|Ij-<I>| / sum |<I>| ) = 19.1 %
>         where <I>=sum(wj*Ij), j=1...N,
>              with sum(wj)=1,
>         calculated from 133636 observations of 60655 /+//-/ reflexions
> 
> - dito within user-defined resolution: 19.1 %
>         calculated from 133323 observations of 60508 /+//-/ reflexions
> 
> 
> Multiplicity of accepted measurements for unique reflexions, and
> completeness C
> in equal-volume shells (on average  4161 possible unique reflexions each):
>   Shell-       1*    2*    3*    4*  5-6*  7-8* 9-12* 13-16* >16*  total
> C[%]
> limits [A]  ----- ----- ----- ----- ----- ----- ----- ----- -----  -----
> ----
> inf. - 30.0  excluded... (but see right below)
> 0.0
> 30.0 - 6.46   221   878   805  1620   597     0     0     0     0   4121
> 95.1
> 6.46 - 5.13    73   659   726  1850   840     0     0     0     0   4148
> 98.9
> 5.13 - 4.48    80   687   841  1823   712     0     0     0     0   4143
> 99.1
> 4.48 - 4.07    72   673   802  1778   772     0     0     0     0   4097
> 99.3
> 4.07 - 3.78    94   595   735  1862   831     0     0     0     0   4117
> 99.4
> 3.78 - 3.56   108   563   738  1883   856     0     0     0     0   4148
> 99.7
> 3.56 - 3.38    81   519   689  1968   886     0     0     0     0   4143
> 99.8
> 3.38 - 3.23    49   465   731  1976   877     0     0     0     0   4098
> 100.0
> 3.23 - 3.11    58   485   772  1950   875     0     0     0     0   4140
> 100.0
> 3.11 - 3.00    39   457   768  1944   832     0     0     0     0   4040
> 98.8
> - - - - - - ----- ----- ----- ----- ----- ----- ----- ----- -----  -----
> ----
> * 30.0 - 3.00   875  5981  7607 18654  8078     0     0     0     0  41195
> 99.0
> ----------- ----- ----- ----- ----- ----- ----- ----- ----- -----  -----
> ----
> Below specified lower-resolution limit :
> inf. - 30.0     0     1     0     0     0     0     0     0     0      1
> Beyond specified high-resolution limit :
> 3.00 - 2.99     0    37    25    51     9     0     0     0     0    122
> 
> Same multiplicities as relative percentages [%] and <average multiplicity>
>                  (total measured unique reflexions in each shell = 100.%)
> 30.0 - 6.46    5.4  21.3  19.5  39.3  14.5    .     .     .     .
> <3.38>
> 6.46 - 5.13    1.8  15.9  17.5  44.6  20.3    .     .     .     .
> <3.67>
> 5.13 - 4.48    1.9  16.6  20.3  44.0  17.2    .     .     .     .
> <3.58>
> 4.48 - 4.07    1.8  16.4  19.6  43.4  18.8    .     .     .     .
> <3.61>
> 4.07 - 3.78    2.3  14.5  17.9  45.2  20.2    .     .     .     .
> <3.67>
> 3.78 - 3.56    2.6  13.6  17.8  45.4  20.6    .     .     .     .
> <3.68>
> 3.56 - 3.38    2.0  12.5  16.6  47.5  21.4    .     .     .     .
> <3.74>
> 3.38 - 3.23    1.2  11.3  17.8  48.2  21.4    .     .     .     .
> <3.78>
> 3.23 - 3.11    1.4  11.7  18.6  47.1  21.1    .     .     .     .
> <3.76>
> 3.11 - 3.00    1.0  11.3  19.0  48.1  20.6    .     .     .     .
> <3.77>
> - - - - - -  ----- ----- ----- ----- ----- ----- ----- ----- ----- ->>>
> * 30.0 - 3.00    2.1  14.5  18.5  45.3  19.6   0.0   0.0   0.0   0.0 100.
> <3.66>
> -----------  ----- ----- ----- ----- ----- ----- ----- ----- ----- ====
> ------
> Below specified lower-resolution limit :
> inf. - 30.0     .  100.0    .     .     .     .     .     .     .
> <2.00>
> Beyond specified high-resolution limit :
> 3.00 - 2.99     .   30.3  20.5  41.8   7.4    .     .     .     .
> <3.27>
> 
> 
> Multiplicity of centric measurements
>   Shell-       1*    2*    3*    4*  5-6*  7-8* 9-12*  >13*  total / poss.
> C[%]
> limits [A]  ----- ----- ----- ----- ----- ----- ----- -----  -----  -----
> ----
> 30.0 - 6.46    93   354    32     2     0     0     0     0    481    566
> 85.0
> 6.46 - 5.13    37   251    28     0     0     0     0     0    316    334
> 94.6
> 5.13 - 4.48    39   209    16     0     0     0     0     0    264    281
> 94.0
> 4.48 - 4.07    24   193    17     0     0     0     0     0    234    249
> 94.0
> 4.07 - 3.78    25   169    21     0     0     0     0     0    215    223
> 96.4
> 3.78 - 3.56    34   161    18     0     0     0     0     0    213    220
> 96.8
> 3.56 - 3.38    25   157    17     0     0     0     0     0    199    204
> 97.5
> 3.38 - 3.23    26   145    21     0     0     0     0     0    192    192
> 100.0
> 3.23 - 3.11    26   138    23     0     0     0     0     0    187    187
> 100.0
> 3.11 - 3.00    27   129    19     0     0     0     0     0    175    175
> 100.0
> - - - - - - ----- ----- ----- ----- ----- ----- ----- -----  -----  -----
> ----
> * 30.0 - 3.00   356  1906   212     2     0     0     0     0   2476   2631
> 94.1
> 
> 
> Multiplicity of acentric measurements for Bijvoet /-/ and /+/ separately :
>   Shell-       1*    2*    3*    4*  5-6*  7-8* 9-12*  >13*  total / poss.
> C[%]
> limits [A]  ----- ----- ----- ----- ----- ----- ----- -----  -----  -----
> ----
> 30.0 - 6.46  1530  4572   790     0     0     0     0     0   6892   7534
> 91.5
> 6.46 - 5.13  1503  4925  1077     0     0     0     0     0   7505   7720
> 97.2
> 5.13 - 4.48  1786  4813   974     0     0     0     0     0   7573   7796
> 97.1
> 4.48 - 4.07  1811  4668  1066     0     0     0     0     0   7545   7754
> 97.3
> 4.07 - 3.78  1686  4685  1209     0     0     0     0     0   7580   7834
> 96.8
> 3.78 - 3.56  1756  4595  1308     0     0     0     0     0   7659   7882
> 97.2
> 3.56 - 3.38  1785  4558  1407     0     0     0     0     0   7750   7896
> 98.2
> 3.38 - 3.23  1784  4527  1425     0     0     0     0     0   7736   7812
> 99.0
> 3.23 - 3.11  1833  4549  1415     0     0     0     0     0   7797   7908
> 98.6
> 3.11 - 3.00  1819  4405  1420     0     0     0     0     0   7644   7826
> 97.7
> - - - - - - ----- ----- ----- ----- ----- ----- ----- -----  -----  -----
> ----
> * 30.0 - 3.00 17293 46297 12091     0     0     0     0     0  75681  77962
> 97.1
> 
> 
> Anomalous R-value :
>       ( sum |<I+>-<I->| / sum |<I+>+<I->| ) = 17.5 %
>        where <I>=sum(Ij)/N,
>        calculated from  37074 anomalous pairs (with 143188 measurements:
>                               multiplicity  2.1 <->  78993 measurements
> for I+
>                               multiplicity  1.7 <->  64195 measurements
> for I-
> Weighted anomalous R-value :
>       ( sum |<I+>-<I->| / sum |<I+>+<I->| ) = 18.4 %
>        where <I>=sum(wj*Ij) with sum(wj)=1,
>        calculated from  37074 anomalous pairs
> 
> 
> Table of s-dependent anomalous, and centric, R-factors in equal-volume
> shells :
>   R_ano. = sum { |<I+> - <I->| } / sum { |<I+> + <I->| }
>   R_cen. = linear R_merge for centric reflexions only.
>                                                                   centric
> Resolution         s      Bijvoet-pairs   <I>    R_ano.    measurements
> R_cen.
> -----[A]----  -------------             -------  --[%]--   |   -------
> --[%]--
> 30.0 - 6.46  0.000 - 0.077     3252     10168.   12.79    |      806
> 29.64
> 6.46 - 5.13  0.077 - 0.097     3673      2734.   15.19    |      564
> 20.88
> 5.13 - 4.48  0.097 - 0.112     3694      4719.   16.01    |      440
> 24.88
> 4.48 - 4.07  0.112 - 0.123     3682      4326.   17.18    |      418
> 23.54
> 4.07 - 3.78  0.123 - 0.132     3678      2602.   19.76    |      375
> 27.71
> 3.78 - 3.56  0.132 - 0.141     3724      1490.   22.87    |      337
> 29.09
> 3.56 - 3.38  0.141 - 0.148     3806      1032.   26.32    |      317
> 34.76
> 3.38 - 3.23  0.148 - 0.155     3830       728.   31.24    |      317
> 35.64
> 3.23 - 3.11  0.155 - 0.161     3844       470.   38.98    |      292
> 47.76
> 3.11 - 3.00  0.161 - 0.167     3779       358.   48.06    |      250
> 59.71
> - - - - - -                 --------   -------  -------   |   -------
> --[%]--
> * 30.0 - 3.00  total :          36962      2745.   17.45%   |     4116
> 28.09%
>                             --------   -------  -------       -------
> Below specified lower-resolution limit :
> inf. - 30.0  0.000 - 0.017        1       110.   19.20    |
> 0
> Beyond specified high-resolution limit :
> 3.00 - 2.99  0.167 - 0.167      111       340.   44.46    |
> 0
> 
> Summary of neg. <I> :   179 centric reflexions
>                       2886 /I-/
>                       2594 /I+/
>            including     0 pairs with *both* mates <=0
> 
> 
> Tables of s-dependent R-factors in equal-volume shells :
>       (Single measurements or negative <I> omitted from all sums.)
>       R_linear = sum { |I - <I>| } / sum {I}
>       R_square = SQRT( sum{|I - <I>|**2} / sum{I**2} )
> 
> Resolution         s      measurements  I<0      <I>   <I/s>    R_squ.
> R_lin.
> -----[A]----  -------------  --------  -----   -------  -----   --[%]--
> --[%]--
> 30.0 - 6.46  0.000 - 0.077    12293    119     10081.    5.2    27.28
> 18.23
> 6.46 - 5.13  0.077 - 0.097    13386    394      2490.    2.7    19.45
> 18.50
> 5.13 - 4.48  0.097 - 0.112    12787    359      4220.    3.0    21.40
> 18.89
> 4.48 - 4.07  0.112 - 0.123    12670    452      3638.    2.5    21.79
> 21.21
> 4.07 - 3.78  0.123 - 0.132    12819    799      2102.    1.6    23.85
> 26.60
> 3.78 - 3.56  0.132 - 0.141    12820    940      1335.    1.1    26.50
> 32.14
> 3.56 - 3.38  0.141 - 0.148    12270   1186       958.    0.9    30.64
> 37.29
> 3.38 - 3.23  0.148 - 0.155    12071   1438       661.    0.6    36.79
> 44.73
> 3.23 - 3.11  0.155 - 0.161    11613   1619       463.    0.5    43.91
> 53.68
> 3.11 - 3.00  0.161 - 0.167    10870   1708       376.    0.4    51.01
> 61.37
> - - - - - -                  ------ ------    -------  -----   -------
> -------
> * 30.0 - 3.00  total :         123599   9014      2674.    1.9    26.11%
> 22.61%
>                              ------ ------
> =======
>        4515 non-pos. <I> with  9771 measurements omitted from this table.
> 
> Table of <<I>/sigma(<I>)> for mean values on output file:
>          ================
> Resolution         <I>            /0/            /+/            /-/
> sig<0
> -----[A]----  -------------  -------------  -------------  -------------
> -----
> 30.0 - 6.46    4121    7.7     481    4.5    3551    5.8    3341
> 5.7      0
> 6.46 - 5.13    4148    4.6     316    2.5    3797    3.5    3708
> 3.2      0
> 5.13 - 4.48    4143    5.0     264    2.6    3838    3.8    3735
> 3.5      0
> 4.48 - 4.07    4097    4.3     234    2.1    3835    3.2    3710
> 3.0      0
> 4.07 - 3.78    4117    3.0     215    1.7    3863    2.2    3717
> 2.1      0
> 3.78 - 3.56    4148    2.2     213    1.6    3915    1.6    3744
> 1.5      0
> 3.56 - 3.38    4143    1.6     199    1.3    3938    1.2    3812
> 1.1      0
> 3.38 - 3.23    4098    1.2     192    0.9    3896    0.8    3840
> 0.8      0
> 3.23 - 3.11    4140    0.8     187    0.5    3946    0.6    3851
> 0.6      0
> 3.11 - 3.00    4040    0.6     175    0.4    3853    0.4    3791
> 0.4      0
> - - - - - -  -------------  -------------  -------------  -------------
> -----
> * 30.0 - 3.00   41195    3.1    2476    2.2   38432    2.3   37249
> 2.1      0
>              -------------  -------------  -------------  -------------
> -----
> Below specified lower-resolution limit :
> inf. - 30.0       1   -1.0       0    ...       1   -0.2       1
> -1.0      0
> Beyond specified high-resolution limit :
> 3.00 - 2.99     122    0.6      10    0.6     112    0.4     111
> 0.4      0
> 
> Multiplicity-independent and sigma-weighted R-factors :
>       PCV = "pooled coefficient of variation"
>       R_rim = "redundancy-independent merging R-factor" = R_meas.
>       R_pim = "precision-indicating merging R-factor"
>       Rw_xxx = sigma-weighted R-factors, where :
>         <Iw> = sum{ w * I }  with  sum{ w } = 1
> .. defined as:
>       PCV = sum{ SQRT[ sum{ |Ij - <Ihkl>|**2 }/(n-1) ] } / sum{ <I> }
>              h          j                                   h
>       R_rim = sum{ SQRT[n/(n-1)] * sum{ |I - <Ihkl>| } } / sum{ I }
>       R_pim = sum{ SQRT[1/(n-1)] * sum{ |I - <Ihkl>| } } / sum{ I } )
>       Rw_rim = sum{ SQRT[n/(n-1)] * sum{ w * |I - <Iw>| } } / sum{<Iw>}
>       Rw_pim = sum{ SQRT[1/(n-1)] * sum{ w * |I - <Iw>| } } / sum{<Iw>}
>       Rw_squ = SQRT[ sum{ w * |I - <Iw>|**2 } / sum{<Iw>**2} ]
>       Rw_lin =          sum{ w * |I - <Iw>| } / sum{<Iw>}
> 
> Resolution   /+//-/     PCV    R_rim   R_pim   Rw_rim  Rw_pim  Rw_squ.
> Rw_lin.
> -----[A]---- --------  --[%]-- --[%]-- --[%]--  --[%]-- --[%]-- --[%]--
> --[%]--
> 30.0 - 6.46    5734    25.53   24.98   16.99    13.73    9.41   11.97
> 9.96
> 6.46 - 5.13    6143    25.77   25.31   17.18    22.87   15.69   15.44
> 16.57
> 5.13 - 4.48    5903    26.43   25.94   17.69    21.78   14.98   15.39
> 15.75
> 4.48 - 4.07    5800    29.69   29.07   19.78    25.73   17.66   18.16
> 18.65
> 4.07 - 3.78    5810    36.85   36.38   24.69    32.42   22.21   20.15
> 23.54
> 3.78 - 3.56    5768    44.37   43.66   29.37    40.40   27.53   25.67
> 29.44
> 3.56 - 3.38    5475    51.15   50.32   33.56    46.70   31.61   30.79
> 34.22
> 3.38 - 3.23    5375    61.60   60.34   40.23    56.21   38.02   37.98
> 41.20
> 3.23 - 3.11    5175    73.50   72.31   48.10    66.85   45.19   46.53
> 49.03
> 3.11 - 3.00    4833    83.97   82.72   55.07    77.06   52.10   57.35
> 56.51
>            ---------  ------- ------- -------  ------- ------- -------
> -------
> *   total :     56016    31.39%  30.88%  20.91%   24.72%  16.90%  13.95%
> 17.97%

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