Examples
Examples
Try the starting example
- Periods JSON [defective units,inspected units]
- [[2,100],[4,200],[1,100]]
- P-chart center (fraction)
- 0.0175
- Period limits JSON [lower fraction,upper fraction]
- [[0,0.0568374821258],[0,0.045315800366],[0,0.0568374821258]]
- Period observed defective fractions
- [0.02,0.02,0.01]
Try another scenario
- Periods JSON [defective units,inspected units]
- [[8,100],[10,200],[4,100]]
- P-chart center (fraction)
- 0.055
- Period limits JSON [lower fraction,upper fraction]
- [[0,0.123394078691],[0.00663808316454,0.103361916835],[0,0.123394078691]]
- Period observed defective fractions
- [0.08,0.05,0.04]
Calculation method
Calculation method
P-chart center (fraction)
sum(defectives)/sum(inspected).
Period limits JSON [lower fraction,upper fraction]
For each n: pbar ±3*sqrt(pbar*(1-pbar)/n), clamped to [0,1].
Period observed defective fractions
defective/n.
Symbols and units
- a
- Periods JSON [defective units,inspected units]
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- Binomial three-sigma approximation for defective units; samples independent, common baseline defect probability. Weak approximations near zero; no defect-count chart or inferred acceptance threshold. Supported limits: 1..1000 periods; integer 0<=d<=n; n>0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.