The table below shows the control chart line constants:
| Averages | 
                         Ranges  | 
                    
                         Standard Deviations  | 
                ||||
|---|---|---|---|---|---|---|
| 
                         Samples in Group  | 
                    
                         A2  | 
                    
                         D2*  | 
                    
                         D3  | 
                    
                         D4  | 
                    
                         B3  | 
                    
                         B4  | 
                
| 
                         1  | 
                    
                         2.660  | 
                    
                         1.128  | 
                    
                         0  | 
                    
                         3.267  | 
                    
                         0  | 
                    
                         3.267  | 
                
| 
                         2  | 
                    
                         1.880  | 
                    
                         0  | 
                    
                         3.267  | 
                    
                         0  | 
                    
                         3.267  | 
                |
| 
                         3  | 
                    
                         1.023  | 
                    
                         0  | 
                    
                         2.574  | 
                    
                         0  | 
                    
                         2.568  | 
                |
| 
                         4  | 
                    
                         0.729  | 
                    
                         0  | 
                    
                         2.282  | 
                    
                         0  | 
                    
                         2.266  | 
                |
| 
                         5  | 
                    
                         0.577  | 
                    
                         0  | 
                    
                         2.114  | 
                    
                         0  | 
                    
                         2.089  | 
                |
| 
                         6  | 
                    
                         0.483  | 
                    
                         0  | 
                    
                         2.004  | 
                    
                         0.030  | 
                    
                         1.970  | 
                |
| 
                         7  | 
                    
                         0.419  | 
                    
                         0.076  | 
                    
                         1.924  | 
                    
                         0.118  | 
                    
                         1.882  | 
                |
| 
                         8  | 
                    
                         0.373  | 
                    
                         0.136  | 
                    
                         1.864  | 
                    
                         0.185  | 
                    
                         1.815  | 
                |
| 
                         9  | 
                    
                         0.337  | 
                    
                         0.184  | 
                    
                         1.816  | 
                    
                         0.239  | 
                    
                         1.761  | 
                |
| 
                         10  | 
                    
                         0.308  | 
                    
                         0.223  | 
                    
                         1.777  | 
                    
                         0.284  | 
                    
                         1.716  | 
                |
| 
                         10  | 
                    
                         0.308  | 
                    
                         0.223  | 
                    
                         1.777  | 
                    
                         0.284  | 
                    
                         1.716  | 
                |
| 
                         11  | 
                    
                         0.285  | 
                    
                         0.256  | 
                    
                         1.744  | 
                    
                         0.321  | 
                    
                         1.679  | 
                |
| 
                         12  | 
                    
                         0.266  | 
                    
                         0.283  | 
                    
                         1.717  | 
                    
                         0.354  | 
                    
                         1.646  | 
                |
| 
                         13  | 
                    
                         0.249  | 
                    
                         0.307  | 
                    
                         1.693  | 
                    
                         0.382  | 
                    
                         1.618  | 
                |
| 
                         14  | 
                    
                         0.235  | 
                    
                         0.328  | 
                    
                         1.672  | 
                    
                         0.406  | 
                    
                         1.594  | 
                |
| 
                         15  | 
                    
                         0.223  | 
                    
                         0.347  | 
                    
                         1.653  | 
                    
                         0.428  | 
                    
                         1.572  | 
                |
| 
                         16  | 
                    
                         0.212  | 
                    
                         0.363  | 
                    
                         1.637  | 
                    
                         0.448  | 
                    
                         1.552  | 
                |
| 
                         17  | 
                    
                         0.203  | 
                    
                         0.378  | 
                    
                         1.622  | 
                    
                         0.466  | 
                    
                         1.534  | 
                |
| 
                         18  | 
                    
                         0.194  | 
                    
                         0.391  | 
                    
                         1.608  | 
                    
                         0.482  | 
                    
                         1.518  | 
                |
| 
                         19  | 
                    
                         0.187  | 
                    
                         0.403  | 
                    
                         1.597  | 
                    
                         0.497  | 
                    
                         1.503  | 
                |
| 
                         20  | 
                    
                         0.180  | 
                    
                         0.415  | 
                    
                         1.585  | 
                    
                         0.510  | 
                    
                         1.490  | 
                |
| 
                         21  | 
                    
                         0.173  | 
                    
                         0.425  | 
                    
                         1.575  | 
                    
                         0.523  | 
                    
                         1.477  | 
                |
| 
                         22  | 
                    
                         0.167  | 
                    
                         0.434  | 
                    
                         1.566  | 
                    
                         0.534  | 
                    
                         1.466  | 
                |
| 
                         23  | 
                    
                         0.162  | 
                    
                         0.443  | 
                    
                         1.557  | 
                    
                         0.545  | 
                    
                         1.455  | 
                |
| 
                         24  | 
                    
                         0.157  | 
                    
                         0.451  | 
                    
                         1.548  | 
                    
                         0.555  | 
                    
                         1.445  | 
                |
| 
                         25  | 
                    
                         0.153  | 
                    
                         0.459  | 
                    
                         1.541  | 
                    
                         0.565  | 
                    
                         1.435  | 
                |
* D2 is only used for estimating standard deviation when there is one sample per subgroup.
Reference ANSI Z1.1-1985, Z1.2-1985 & Z1.3-1985: American National Standard, Guide for Quality Control Charts, Control Chart Method of Analyzing Data, Control Chart Method of Controlling Quality During Production.
Hints
Double-click the chart area on an SPC page to display the SPC Genie and change the SPC variables.
The tools and menu items in these procedures automatically open the Citect SCADA form for you. Move the cursor till it changes to a hand to find these tools or options.
Published June 2018