EWMA chart

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Overview

Statistical quality control Control chart Business Exponentially-weighted moving average Non-normally distributed

8 related topics

Key facts & relationships

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Center line: The target value, T, of the quality characteristic
Control limits: T ± L S n λ 2 − λ [ 1 − ( 1 − λ ) 2 i ] {\displaystyle T\pm L{\frac {S}{\sqrt {n}}}{\sqrt {{\frac {\lambda }{2-\lambda }}\lbrack 1-\left(1-\lambda \right)^{2i}\rbrack }}}
Measurement type: Moving average of the quality characteristic
Originally proposed by: S. W. Roberts
Plotted statistic: z i = λ x ¯ i + ( 1 − λ ) z i − 1 {\displaystyle z_{i}=\lambda {\bar {x}}_{i}+\left(1-\lambda \right)z_{i-1}}
Quality characteristic type: Variables data

Topics to explore

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Overview

Statistical quality control Statistical process control
Control chart
Business Business process
Exponentially-weighted moving average EWMA
Non-normally distributed Normal distribution
Poisson distribution
X ̄ {\displaystyle {\bar {x}}} and R Xbar and R chart
X ̄ {\displaystyle {\bar {x}}} and s charts Xbar and s chart

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Nodes10

Edges9

Triples9

Avg. degree1.8

Density0.2

Components1

How this topic connects Entity context

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EWMA chart

Top relations

Center line · 1

EWMA chart → The target value, T, of the quality characteristic

Control limits · 1

EWMA chart → T ± L S n λ 2 − λ [ 1 − ( 1 − λ ) 2 i ] {\displaystyle T\pm L{\frac {S}{\sqrt {n}}}{\sqrt {{\frac {\lambda }{2-\lambda }}\lbrack 1-\left(1-\lambda \right)^{2i}\rbrack }}}

Measurement type · 1

EWMA chart → Moving average of the quality characteristic

Originally proposed by · 1

EWMA chart → S. W. Roberts

Plotted statistic · 1

EWMA chart → z i = λ x ¯ i + ( 1 − λ ) z i − 1 {\displaystyle z_{i}=\lambda {\bar {x}}_{i}+\left(1-\lambda \right)z_{i-1}}

Quality characteristic type · 1

EWMA chart → Variables data

Rational subgroup size · 1

EWMA chart → n = 1

Size of shift to detect · 1

EWMA chart → ≤ 1.5σ

Underlying distribution · 1

EWMA chart → Normal distribution

Important terminology Word statistics

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Important terminology

chart ewma control rational mean subgroup limits process quality moving average displaystyle weighted charts samples small type data distribution right

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
EWMA chart	Center line	The target value, T, of the quality characteristic	1.00	infobox
EWMA chart	Control limits	T ± L S n λ 2 − λ [ 1 − ( 1 − λ ) 2 i ] {\displaystyle T\pm L{\frac {S}{\sqrt {n}}}{\sqrt {{\frac {\lambda }{2-\lambda }}\lbrack 1-\left(1-\lambda \right)^{2i}\rbrack }}}	1.00	infobox
EWMA chart	Measurement type	Moving average of the quality characteristic	1.00	infobox
EWMA chart	Originally proposed by	S. W. Roberts	1.00	infobox
EWMA chart	Plotted statistic	z i = λ x ¯ i + ( 1 − λ ) z i − 1 {\displaystyle z_{i}=\lambda {\bar {x}}_{i}+\left(1-\lambda \right)z_{i-1}}	1.00	infobox
EWMA chart	Quality characteristic type	Variables data	1.00	infobox
EWMA chart	Rational subgroup size	n = 1	1.00	infobox
EWMA chart	Size of shift to detect	≤ 1.5σ	1.00	infobox
EWMA chart	Underlying distribution	Normal distribution	1.00	infobox

Related concept clusters Concept neighborhoods

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Connections between topic areas Semantic bridges

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