Ch. 6 (Statistical Process Control-SPC) Flashcards
Statistical process control (SPC)
Statistical process control (SPC)
A process used to monitor standards by taking measurements and corrective action as a product or service is being produced.
Control chart
Control chart
A graphical presentation of process data over time.
Natural variations
Natural variations
Variability that affects every production process to some degree and is to be expected; also known as common cause.
Assignable variation
Assignable variation
Variation in a production process that can be traced to specific causes.
x-bar chart
x-bar chart
A quality control chart for variables that indicates when changes occur in the central tendency of a production process.
R-chart
R-chart
A control chart that tracks the “range” within a sample; it indicates that a gain or loss in uniformity has occurred in dispersion of a production process.
Central limit theorem
Central limit theorem
The theoretical foundation for x-bar charts, which states that regardless of the distribution of the population of all parts or services, the distribution of x-bars (averages) tends to follow a normal curve as the number of samples increases.
calculate standard deviation
- find average of the sample means. = x-dblbar
- UCL: add 3*(1/sqrt(N))
- LCL: subtract 3*(1/sqrt(N))
- Plot points
calculate standard deviation with range values
- find average of the sample means. = x-dblbar
- UCL: add (A2 based on sample size*range mean)
- LCL: subtract (A2 based on sample size*range mean)
- Plot points
calculate R-chart limits
UCL: d4R-bar
Mean: R-bar
LCL: d3R-bar
percent defective- p-chart
- calculate mean of defectives. p-bar
- p-bar*(1 - p-bar)
- divide by size of each sample (100 data in one sample)
- sqrt root of everything
- multiply by 3 and add to/subtract from p-bar for UCL/LCL
number of defective- c-chart
- average of complaints. c-bar
2. add or subtract 3*sqrt(c-bar)
When to use each chart
- x-bar or R-bar chart are used with variables
- p-chart is a yes or no and percentage of one.
- c-chart is the # of an occurrence