Resumen Cartas De Control.docx

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Resumen de cartas de control

Carta de control por variables Carta

LΓ­mite de control superior

LΓ­nea Central

LΓ­mite de control superior

FΓ³rmulas especiales

𝑅 = π‘€π‘Žπ‘₯ βˆ’ 𝑀𝑖𝑛 𝑋̅

𝑋̅ βˆ’ 𝑅

𝑋̅ βˆ’ 𝑆

𝐿𝐢𝑆 = 𝑋̿ + 𝐴2 𝑅̅

𝑋̿

𝐿𝐢𝑆 = 𝐷4 𝑅̅

𝑅̅

𝐿𝐢𝑆 = 𝑋̿ + 3

𝑆̅ 𝐢4 βˆšπ‘›

𝐿𝐢𝐼 = 𝑋̿ βˆ’ 𝐴2 𝑅̅

𝐿𝐢𝐼 = 𝐷3 𝑅̅

𝐿𝐢𝐼 = 𝑋̿ βˆ’ 3

𝑋̿

𝑆̅ 𝐢4 βˆšπ‘›

𝑅̅ =

βˆ‘ 𝑅𝑖 # 𝑑𝑒 π‘šπ‘’π‘’π‘ π‘‘π‘Ÿπ‘Žπ‘ 

𝑅̅ =

βˆ‘ 𝑅𝑖 # 𝑑𝑒 π‘šπ‘’π‘’π‘ π‘‘π‘Ÿπ‘Žπ‘ 

𝑆̅ =

βˆ‘ 𝑆𝑖 # 𝑑𝑒 π‘šπ‘’π‘’π‘ π‘‘π‘Ÿπ‘Žπ‘ 

𝑅̅ =

βˆ‘ 𝑅𝑖 # 𝑑𝑒 π‘šπ‘’π‘’π‘ π‘‘π‘Ÿπ‘Žπ‘ 

Carta de control para individuales 𝑋̅ βˆ’ 𝑅

𝐿𝐢𝑆 = 𝑋̅ + 3

𝑅̅ 𝑑2

𝑋̅

𝐿𝐢𝐼 = 𝑋̅ βˆ’ 3

𝑅̅ 𝑑2

Carta de control por atributos 𝑝

𝑝̅ (1 βˆ’ 𝑝̅ ) 𝐿𝐢𝑆 = 𝑝̅ + 3 √ 𝑛

𝑝̅

𝑝̅ (1 βˆ’ 𝑝̅ ) 𝐿𝐢𝐼 = 𝑝̅ + 3 √ 𝑛

𝑝̅ =

𝑑𝑖 𝑛𝑖

𝑛𝑝

𝐿𝐢𝑆 = 𝑛𝑝̅ + 3 βˆšπ‘› 𝑝̅ (1 βˆ’ 𝑝̅ )

𝑛𝑝̅

𝐿𝐢𝐼 = 𝑛𝑝̅ βˆ’ 3 βˆšπ‘› 𝑝̅ (1 βˆ’ 𝑝̅ )

𝑝̅ =

𝑑𝑖 𝑛𝑖

c

𝐿𝐢𝑆 = 𝑐̅ + 3 βˆšπ‘Μ…

𝑐̅

𝐿𝐢𝐼 = 𝑐̅ βˆ’ 3 βˆšπ‘Μ…

𝑐̅ =

βˆ‘ π‘‘π‘’π‘“π‘’π‘π‘‘π‘œπ‘  π‘†π‘’π‘π‘”π‘Ÿπ‘’π‘π‘œπ‘ 

u

𝑒̅ 𝐿𝐢𝑆 = 𝑒̅ + 3 √ 𝑛̅

𝑒̅

𝑒̅ 𝐿𝐢𝐼 = 𝑒̅ βˆ’ 3 √ 𝑛̅

𝑒̅ =

βˆ‘ π‘‘π‘’π‘“π‘’π‘π‘‘π‘œπ‘  βˆ‘ π‘Žπ‘Ÿπ‘‘Γ­π‘π‘’π‘™π‘œπ‘ 

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