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E691 INTERLABName:
describes a methodology for performing an interlab experiment. The data consists of:
It is assumed that this is a balanced design. That is, each combination of lab-id and material-id (referred to as a cell in the standard) has an equal number of observations. The purpose of the E691 INTERLAB command is to estimate the precision of a test method. Two important concepts in determining the precision are:
The standard discusses issues regarding the design of the interlaboratory study. We do not dicuss those issues here. If your data is stored in a format with each lab in a separate column, you can use the REPLICATED STACK command to save your data in the format needed by the E691 INTERLAB command. This command generates the four tables documented in the above document:
The following provides some of the quantities that are computed in this command (see the above document for a more detailed discussion of these quantities).
<SUBSET/EXCEPT/FOR qualification> where <y> is a response variable; <labid> is a lab id variable; <matid> is a material id variable; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
E691 INTERLAB Y1 LABID MATID SUBSET LABID > 1
The following graphs are recommended in the ASTM document:
We also recommend the following graphs:
We have added the following macros to Dataplot's built-in macro library:
To call one of these macros, define the following values
LABID = lab-id variable MATID = material-id variable E691TIT = string containing a title for the analysis and then use the CALL command to invoke the macro. This is demonstrated in the program example below. If you would like to view one of these macros, use the LIST command. For example
If you would like to modify one of these macros, use the COPY command to create a copy of the macro. For example
You can then edit C:\E691PLO1_NEW.DP to suit your needs.
The second program example demostrates this for Latex.
2008/10: Made a number of corrections to the documentation DIMENSION 100 VARIABLES SKIP 25 READ GLUCOSE.DAT Y LABID MATID LET STRING E691TIT = Glucose in Serum SET TABLE TITLE ^E691TIT . E691 INTERLAB Y LABID MATID . CALL E691PLO1.DP CALL E691PLO2.DP CALL E691PLO3.DP CALL E691PLO4.DP CALL E691PLO5.DP CALL E691PLO6.DP CALL E691PLO7.DPThe following tables are generated INTERLABORATORY ANALYSIS (BASED ON E 691 - 99 STANDARD) Glucose Initial Preparation of Test Result Data for Material: 1 ================================================================================ Laboratory Cell Cell Number Mean SD d h k ================================================================================ 1 41.2833 0.2230 -0.2350 -0.39 0.21 2 41.4400 0.4851 -0.0783 -0.13 0.46 3 41.4500 1.0608 -0.0683 -0.11 1.00 4 41.4567 1.8118 -0.0617 -0.10 1.70 5 41.4633 0.3667 -0.0550 -0.09 0.34 6 42.0200 1.4081 0.5017 0.83 1.32 7 40.4567 1.2478 -1.0617 -1.75 1.17 8 42.5767 0.8225 1.0583 1.75 0.77 ================================================================================ Average of cell averages = 41.51833 Standard deviation of cell averages = 0.60613 Repeatability standard deviation = 1.06322 Reproducibility standard deviation = 1.06322 Glucose Initial Preparation of Test Result Data for Material: 2 ================================================================================ Laboratory Cell Cell Number Mean SD d h k ================================================================================ 1 78.3167 0.1582 -1.3629 -1.36 0.11 2 79.2333 1.3269 -0.4463 -0.45 0.89 3 79.9033 0.8303 0.2238 0.22 0.56 4 81.5333 2.7604 1.8538 1.85 1.85 5 78.6900 0.7754 -0.9896 -0.99 0.52 6 79.8933 1.6366 0.2138 0.21 1.09 7 79.5200 2.0605 -0.1596 -0.16 1.38 8 80.3467 0.5065 0.6671 0.67 0.34 ================================================================================ Average of cell averages = 79.67958 Standard deviation of cell averages = 1.00275 Repeatability standard deviation = 1.49485 Reproducibility standard deviation = 1.57963 Glucose Initial Preparation of Test Result Data for Material: 3 ================================================================================ Laboratory Cell Cell Number Mean SD d h k ================================================================================ 1 133.1967 0.5910 -1.9462 -0.73 0.22 2 135.4067 2.1680 0.2637 0.10 0.79 3 134.5900 1.7288 -0.5529 -0.21 0.63 4 140.8300 6.6200 5.6871 2.14 2.41 5 133.2667 1.1987 -1.8763 -0.71 0.44 6 136.6167 1.2870 1.4738 0.55 0.47 7 132.4933 2.1243 -2.6496 -1.00 0.77 8 134.7433 0.9774 -0.3996 -0.15 0.36 ================================================================================ Average of cell averages = 135.14291 Standard deviation of cell averages = 2.65595 Repeatability standard deviation = 2.74827 Reproducibility standard deviation = 3.47698 Glucose Initial Preparation of Test Result Data for Material: 4 ================================================================================ Laboratory Cell Cell Number Mean SD d h k ================================================================================ 1 193.6500 0.0600 -1.0671 -0.41 0.02 2 195.1067 4.6824 0.3896 0.15 1.78 3 192.0900 1.5932 -2.6271 -1.01 0.61 4 197.2133 1.9365 2.4962 0.96 0.74 5 193.0500 1.8826 -1.6671 -0.64 0.72 6 197.2433 1.6496 2.5262 0.97 0.63 7 191.2600 3.8177 -3.4571 -1.33 1.45 8 198.1233 2.4638 3.4063 1.31 0.94 ================================================================================ Average of cell averages = 194.71709 Standard deviation of cell averages = 2.59500 Repeatability standard deviation = 2.62506 Reproducibility standard deviation = 3.36571 Glucose Initial Preparation of Test Result Data for Material: 5 ================================================================================ Laboratory Cell Cell Number Mean SD d h k ================================================================================ 1 293.2533 0.7267 -1.2387 -0.46 0.18 2 298.9167 9.1869 4.4246 1.64 2.33 3 292.6700 2.7101 -1.8221 -0.68 0.69 4 295.8200 0.8836 1.3279 0.49 0.22 5 293.5633 0.9544 -0.9287 -0.34 0.24 6 294.9567 4.0343 0.4646 0.17 1.03 7 290.1367 3.3042 -4.3554 -1.62 0.84 8 296.6200 1.6479 2.1279 0.79 0.42 ================================================================================ Average of cell averages = 294.49207 Standard deviation of cell averages = 2.69314 Repeatability standard deviation = 3.93497 Reproducibility standard deviation = 4.19233 Glucose-h ============================================================= Material Laboratory 1 2 3 4 5 ============================================================= 1 -0.39 -1.36 -0.73 -0.41 -0.46 2 -0.13 -0.45 0.10 0.15 1.64 3 -0.11 0.22 -0.21 -1.01 -0.68 4 -0.10 1.85 2.14 0.96 0.49 5 -0.09 -0.99 -0.71 -0.64 -0.34 6 0.83 0.21 0.55 0.97 0.17 7 -1.75 -0.16 -1.00 -1.33 -1.62 8 1.75 0.67 -0.15 1.31 0.79 ============================================================= CRITICAL VALUE = 2.15 Glucose-k Material Laboratory 1 2 3 4 5 ============================================================= 1 0.21 0.11 0.22 0.02 0.18 2 0.46 0.89 0.79 1.78 2.33 3 1.00 0.56 0.63 0.61 0.69 4 1.70 1.85 2.41 0.74 0.22 5 0.34 0.52 0.44 0.72 0.24 6 1.32 1.09 0.47 0.63 1.03 7 1.17 1.38 0.77 1.45 0.84 8 0.77 0.34 0.36 0.94 0.42 ============================================================= CRITICAL VALUE = 2.06 Glucose-Precision Statistics ======================================================================================== Material Xbar s(x) s(r) s(R) r R ======================================================================================== 1 41.5183 0.6061 1.0632 1.0632 2.98 2.98 2 79.6796 1.0028 1.4949 1.5796 4.19 4.42 3 135.1429 2.6559 2.7483 3.4770 7.70 9.74 4 194.7171 2.5950 2.6251 3.3657 7.35 9.42 5 294.4921 2.6931 3.9350 4.1923 11.02 11.74 ======================================================================================== The following graphs are generated. ![]() DIMENSION 100 VARIABLES SKIP 25 READ MANDEL6.DAT Y LABID MATID LET STRING E691TIT = Pentosans in Wood Pulp SET TABLE TITLE ^E691TIT . . DEMONSTRATE HOW TO SAVE OUTPUT IN A LATEX FILE . WITH GRAPHICS CAPTURE LATEX E691.TEX E691 INTERLAB Y LABID MATID . SET IPL1NA E691PLO1.PS DEVICE 2 POSTSCRIPT CALL E691PLO1.DP DEVICE 2 CLOSE SET IPL1NA E691PLO2.PS DEVICE 2 POSTSCRIPT CALL E691PLO2.DP DEVICE 2 CLOSE SET IPL1NA E691DOH1.PS DEVICE 2 POSTSCRIPT CALL E691DOH1.DP DEVICE 2 CLOSE SET IPL1NA E691DOH2.PS DEVICE 2 POSTSCRIPT CALL E691DOH2.DP DEVICE 2 CLOSE SET IPL1NA E691DOK1.PS DEVICE 2 POSTSCRIPT CALL E691DOK1.DP DEVICE 2 CLOSE SET IPL1NA E691DOK2.PS DEVICE 2 POSTSCRIPT CALL E691DOK2.DP DEVICE 2 CLOSE SET IPL1NA E691PLO7.PS DEVICE 2 POSTSCRIPT CALL E691PLO7.DP DEVICE 2 CLOSE END OF CAPTUREThis program will generate the E691 tables and graphs in a Latex file (E691.TEX).
Date created: 4/19/2005 |