{ "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" } ] }