GB/T 17989.4-2020 in English
VALIDControl charts—Part 4: Cumulative sum charts
- Issued on:2020-03-06
- Implemented on:2020-10-01
- File Format:PDF
- Delivery:Via email within 5 business days
$796.00
| Standard No: | GB/T 17989.4-2020 |
| Document status: | VALID |
| Title in English: | Control charts—Part 4: Cumulative sum charts |
| Title in Chinese: | 控制图 第4部分：累积和控制图 |
| Language: | English |
| File Format: | Electronic (PDF) |
| Delivery: | Via email within 5 business days |
| Issued on: | 2020-03-06 |
| Implemented on: | 2020-10-01 |
| Superseding: |
GB/Z 4887-2006 Cumulative Sum charts - Guidance on quality control and data analysis using CUSUM techniques
|
| ICS Classification: | 03.120.30-Application of statistical methods |
| Chinese Classification: | A41-Mathematics |
| Professional Classification: | GB-National Standard |
| Related Keywords: | cumulative sum control charts gb/t
cumulative sum charts cumulative sum charts introduction core concepts conventional control charts cumulative sum |
| Related Topics: | product
accumulation cumulative effect cumulative effect Forecast accumulation Forecast accumulation GBT17989.4 GB/T 17989.4-2020 Control Charts mapping |
《GB/T 17989.4-2020控制图 第4部分：累积和控制图》由TC21（全国统计方法应用标准化技术委员会）归口，主管部门为国家标准化管理委员会。
Introduction
Core Concepts of Cumulative Sum Control Charts
GB/T 17989.4-2020, as the fourth part of the control chart series standard, focuses on the application of cumulative sum (CUSUM) technology in process monitoring. Compared with conventional control charts, cumulative sum charts are more sensitive to small process deviations by accumulating deviations from target values.
Comparison of standard frameworks
| Comparison dimensions | Conventional control charts | Cumulative and control charts |
|---|---|---|
| Detection sensitivity | Suitable for detecting large shifts (>2σ) | Good at capturing small shifts of 0.5-1.5σ |
| Data visualization | Independent analysis between points | Intuitive display of process trends through slope changes |
| Response speed | Average chain length (L0≈370) | Customizable L0 up to 1000+ (CS1 solution) |
Motor production case analysis
Chapter 6 of the standard takes motor voltage monitoring as an example to demonstrate the process of constructing a cumulative sum chart:
- Assume the target value T=10V, calculate the deviation of each observation value (Xi-T)
- Accumulate the deviation to obtain the CUSUM sequence
- Identify 4 change points through slope analysis (sample No. 10/18/31)
Compared with conventional control charts, the cumulative sum chart detects voltage fluctuations of 7.5V~12.6V earlier, verifying its sensitivity to small offsets.
V-type template design specifications
Chapter 8 of the standard details 5 template types:
- Truncated V-type: Basic template, h=5σe, f=0.5
- Semi-parabola: Optimize large offset detection
- Fast Initial Response (FIR): Set a non-zero initial value to accelerate the alarm
Template parameter calculation formula:
H = hσe F = fσe
Special processing of discrete data
For count data (such as the number of defects), the standard recommends:
- Use Poisson approximation when Tp<0.1 (Example in Appendix B)
- When Tm>20, normal approximation is used
- H and K parameters need to be calculated separately for binomial data
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