statistical process Flashcards
types of variations
- assignable variations: traced to specific reasons , should be eliminated
- natural/random variations: inherent to the process, form a pattern, process in control when only natural variations
type 1 and 2 error
type 2 error: assume the process is okay when its not
type 1 error: assume the process is not okay when it is
How to find if a process is in control
use statistical info, take small samples : less costly, easier to see trends
charts and what they control
x-bar: control the value
r-chart : controls the dispersion
method for x bar and r charts
identify sample size = n
in each sample compute: x bar : mean
R : range
compute means of sample: x double bar: mean of x bar
r-bar : mean of r
Take corrective action when
-one points falls outside the control limits
- seven points in a row on one side of center line
- a run of seven points in a row going up or going down
- two points in a row very close to a limit
if binary variable
use p-chart:
- controls the percentage of defective items
and x-chart
method p-chart
identify sample size: n
in each sample compute: p: fraction of defective items
compute means of sample: p-bar
computer standard deviation
compute control limits
what happens when z increases
the probability of type 1 error decreases
the probability of type 2 increases