Active Standard ASTM F1503 | Developed by Subcommittee: F16.93

**Book of Standards Volume:** 01.08

Historical (view previous versions of standard)

**Significance and Use**

5.1 This practice is designed to evaluate a machine or process isolated from its normal operating environment. In its normal operating environment, there would be many sources of variation that may not exist at a machine/process builder's facility; or put another way, this study is usually conducted under ideal conditions. Therefore, it should be recognized that the results of this practice are usually a “best case” analysis, and allowances need to be made for sources of variations that may exist at the purchaser's facility.

**1. Scope**

1.1 This practice covers provision of a proper method for determining process capability for new or existing machine processes. It is recommended that available statistical software be used for the calculation of the descriptive statistics required for decision making when using this practice. Where software is not available, Section 8 and Tables 1 and 2 are provided for manual calculations.

Calculate the average Range (R) and the Process Average X For the study period, calculate: | |

| |

where: | ||

k | = | the number of subgroups, |

R_{1} | = | the range and average of the first subgroup, |

X_{1} | = | the range and average of the first subgroup, |

R_{2} | = | from the second subgroup, and |

X_{2} | = | from the second subgroup, etc. |

| |||||||||

Estimate the process standard deviation (the estimate is shown as σ^ “sigma hat”). | |||||||||

Using the existing sample size calculate: | |||||||||

σ^ = R/d | |||||||||

Where R is the average of the subgroup ranges (for periods with the ranges in control) and d | |||||||||

n | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

d | 1.13 | 1.69 | 2.06 | 2.33 | 2.53 | 2.70 | 2.85 | 2.97 | 3.08 |

**2. Referenced Documents** *(purchase separately)* The documents listed below are referenced within the subject standard but are not provided as part of the standard.

**ASTM Standards**

F1469 Guide for Conducting a Repeatability and Reproducibility Study on Test Equipment for Nondestructive Testing

**ICS Code**

ICS Number Code 25.020 (Manufacturing forming processes)

**UNSPSC Code**

UNSPSC Code 81141500(Quality control)

**DOI:** 10.1520/F1503-02R12

ASTM International is a member of CrossRef.