spc-simulator/control-charts.json

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{
"title": "Statistical Process Control Simulator",
"author": "Brian Beaulieu",
"version": "1.0.0",
"methodology": {
"framework": "Six Sigma DMAIC",
"wikidata": "Q380179",
"originalTheory": "Shewhart Control Charts (1931)",
"ruleSet": "Western Electric Rules"
},
"constants": {
"controlFactors": {
"n4": {"A2": 0.729, "D3": 0, "D4": 2.282, "d2": 2.059},
"n5": {"A2": 0.577, "D3": 0, "D4": 2.114, "d2": 2.326},
"n10": {"A2": 0.308, "D3": 0.223, "D4": 1.777, "d2": 3.078}
},
"sigmaLevels": {
"threeSigma": 99.73,
"sixSigma": 99.9999998
}
},
"westernElectricRules": [
"Rule 1: Any point beyond 3-sigma control limits",
"Rule 2: Seven consecutive points on one side of centerline",
"Rule 3: Six consecutive points steadily increasing or decreasing",
"Rule 4: Two of three consecutive points beyond 2-sigma",
"Rule 5: Four of five consecutive points beyond 1-sigma",
"Rule 6: Fifteen consecutive points within 1-sigma (over-control)"
],
"capabilities": {
"subgroupSizes": [4, 5, 10],
"maxSamples": 100,
"anomalyTypes": ["none", "mean-shift", "sigma-expand", "trend", "outlier"]
},
"citations": [
{
"source": "Wikidata Q380179",
"url": "https://www.wikidata.org/wiki/Q380179",
"description": "DMAIC methodology definition"
},
{
"source": "Shewhart, W.A.",
"work": "Economic Control of Quality of Manufactured Product",
"year": 1931,
"description": "Original control chart theory"
}
]
}