SPC Flashcards
What does SPC tell us?
whether a process is under control
allows us to monitor the quality over a period of time.
Common causes of variation
- All processes vary to some extent, imperfection of humans and machines
- People perform tasks slightly differently each time.
define process capability
a measure of the acceptability of the variation of the process.
process capability equation
Cp = UTL - LTL /6 s
UTL = the upper tolerance limit LTL = the lower tolerance limit s = the standard deviation of the process variability
Why is variation not good?
- signal that something has changed in the process,
- process performance violating the lower control limit has increased,
- The narrower the natural variation of a process, the more obvious are changes in the behaviour of that process.
- The more obvious are the process changes, the easier it is to understand how and why the process is behaving in a particular way.
- Accepting any variation in any process is, to some degree, admitting to ignorance of how that process works.
drawing an SPC chart
- . Select the data, at least 20 readings
- Plot the data (“chartsline charts”) and work out moving range
- Calculate and plot the mean on the chart [“average(range)”]
- Calculate the standard deviation (SD)
- Use the SD to compute the control limits: UCL & LCL and plot those on the chart
- Interpret behaviour using your computed limits
- Check the variation rules
- Re-plot the chart if needed
- Interpret behaviour using your computed limits
how to calculate the UCL and LCL
UCL = mean + 3SD
LCL mean - 3SD
When is a process capable
(1) It is under control
- when 99.7% of points lie within control limits
(2) It is accurate
(3) It is precise
define specification
what the process should achieve to satisfy the customer (internal or external),
e.g. the nail should be long “3 cm ± 0.0001”
define performance
what the process is actually capable to achieve, e.g. the nail is actually long 2.999 cm
define accuracy
A process is accurate when the mean is included within the specification limits
define precision
If the process is accurate, a process is also precise when the control limits are included within the specification limits
If the process is not accurate, a process may be precise if the standard deviation is “significantly” low
What is capability
Capability = Accuracy + Precision + Control
Control: We compare observations with control limits
Accuracy: We compare mean with specification limits
Precision: We compare control limits with specification limits
What are the Variation Rules?
Rule 1: A point is outside the UCL or LCL
Rule 2: There is a run of 7 points or more in one direction, OR a run of 7 or more points above/below the mean
Rule 3: There is an unusual trend or a cyclical pattern
Rule 4: There is an unusual distribution