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## PowerPoint Slideshow about ' Six Sigma Measurement' - romeo

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Six Sigma Measurement

s

s

s

s

s

s

m

s

s

s

s

s

s

+1

-6

-5

-4

-3

-2

-1

+2

+3

+4

+5

+6

s

s

68,26 %

s

s

2

2

95,46 %

s

s

3

3

99,73 %

s

s

4

4

99,9937 %

s

s

5

5

99,999943 %

s

s

6

6

99,9999998 %

Let “X” be the quality characteristic of interest and

(Length/Thickness/Temperature/Pressure etc.)

USL = Upper Specification Limit

LSL = Lower Specification Limit

T = Target Value

m = Process Average s = Process Standard Deviation

X = Estimate of m s = Estimate of s

Statistical Interpretation of Six SigmaCalculation of Sigma level - When Process is Centered

USL - T

SIGMA LEVEL (Z) =

s

OR

T - LSL

SIGMA LEVEL (Z) =

s

L

Mean = T

U

Calculation of Sigma level

When Process is Centered Closer To LSL

X - LSL

SIGMA LEVEL (Z) =

s

L

Mean

T

U

Calculation of Sigma level

When Process is Centered Closer To USL

USL - X

SIGMA LEVEL (Z) =

s

L

T

Mean

U

Calculation of Sigma level

There is only Upper Specification Limit (USL)

USL - X

SIGMA LEVEL (Z) =

s

Mean

U

Calculation of Sigma level

There is only Lower Specification Limit (LSL)

X - LSL

SIGMA LEVEL (Z) =

s

L

Mean

The Normal Curve wit Different Sigma Levels

S = 2 (SIX SIGMA Quality Level)

S = 3 (FOUR SIGMA Quality Level)

S = 4 (THREE SIGMA Quality Level)

USL = 1322

1298 = LSL

USL = 1310

DPMO

- MEANS DEFECTS PER MILLION
- OPPORTUNITIES
- IS TRANSLATED INTO A SIGMA
- NUMBER

Defects/Opportunity & Defect/Million Opportunity

Number of Defects

Formula =

# of Units x # of opportunities

Example 319 Defects, 1150 Items, 15 defect opportunity

319 defects on joints

Formula =

1150 Units x 15 opportunities/joist

= 0.018 DPO

= 0.018 x 106 = 18,000 DPMO

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