The final lesson states the boundary: this is deterministic chart arithmetic.
Deterministic chart
The calculations use fixed observations, a fixed centerline, and fixed illustrative limits.
deterministic chart arithmetic \text{deterministic chart arithmetic} deterministic chart arithmetic Inside limits The chart and table show that every pinned observation is inside the illustrative limits. inside limits and scope centerline 10; limits 7 and 13 upper limit 13 centerline 10 lower limit 7 1:8 2:10 3:9 4:11 5:12 obs value deviation inside? 1 8 -2 inside limits 2 10 0 inside limits 3 9 -1 inside limits 4 11 1 inside limits 5 12 2 inside limits inside share 1
Not SPC proof
This does not establish statistical process control validity, normality, or independence.
outside scope: SPC validity, normality, independence \text{outside scope: SPC validity, normality, independence} outside scope: SPC validity, normality, independence Inside limits The chart and table show that every pinned observation is inside the illustrative limits. inside limits and scope centerline 10; limits 7 and 13 upper limit 13 centerline 10 lower limit 7 1:8 2:10 3:9 4:11 5:12 obs value deviation inside? 1 8 -2 inside limits 2 10 0 inside limits 3 9 -1 inside limits 4 11 1 inside limits 5 12 2 inside limits inside share 1
Not root cause
This does not prove process capability, root causes, or improvement.
outside scope: capability, root cause, improvement \text{outside scope: capability, root cause, improvement} outside scope: capability, root cause, improvement Inside limits The chart and table show that every pinned observation is inside the illustrative limits. inside limits and scope centerline 10; limits 7 and 13 upper limit 13 centerline 10 lower limit 7 1:8 2:10 3:9 4:11 5:12 obs value deviation inside? 1 8 -2 inside limits 2 10 0 inside limits 3 9 -1 inside limits 4 11 1 inside limits 5 12 2 inside limits inside share 1
Honesty note
This is deterministic chart arithmetic only. It does not establish SPC validity, normality, independence, process capability, root-cause proof, or improvement.
deterministic chart arithmetic only \text{deterministic chart arithmetic only} deterministic chart arithmetic only Inside limits The chart and table show that every pinned observation is inside the illustrative limits. inside limits and scope centerline 10; limits 7 and 13 upper limit 13 centerline 10 lower limit 7 1:8 2:10 3:9 4:11 5:12 obs value deviation inside? 1 8 -2 inside limits 2 10 0 inside limits 3 9 -1 inside limits 4 11 1 inside limits 5 12 2 inside limits inside share 1