Statistical process control
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Statistical Process Control. (SPC). What is Quality?. Fitness for use Conformance to the standard. Quality Improvement. Quality improvement processes that involve statistical method; Incoming Quality Control Statistical Process Control Outgoing Quality Control. Incoming & Outgoing QC.

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Statistical Process Control

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Statistical process control

Statistical Process Control

(SPC)


What is quality

What is Quality?

  • Fitness for use

  • Conformance to the standard


Quality improvement

Quality Improvement

Quality improvement processes that involve statistical method;

  • Incoming Quality Control

  • Statistical Process Control

  • Outgoing Quality Control


Incoming outgoing qc

Incoming & Outgoing QC

Acceptance Sampling

  • Lot by lot sampling plan for attributes

  • Acceptance sampling by variables


Lot by lot sampling plan for attributes

Lot by Lot Sampling Plan For Attributes

Types Of Sampling Plan

  • Single Sampling Plan

  • Double Sampling Plan

  • Multiple Sampling Plan

  • Sequential Sampling Plan

    MIL STD 105E (ISO 2859)


Acceptance sampling by variables

Acceptance Sampling By Variables

Types Of Sampling Plan

  • Plan that control the lot/process fraction defective/nonconforming.

  • Plan that control the lot/process parameter

    MIL STD 414 Tables


Statistical pocess control

Statistical Pocess Control

Chance and Assingable Cause Of Quality

Statistical basis for control chart

  • Basic Principles

  • Choice Of Control Limit

  • Sample Size & Sampling Frequency

  • Subgroups

  • Analysis Of Patterns On Control Charts


Control charts for variables univariate

Control Charts For Variables (Univariate)


Statistical process control

  • Statistical basis of the charts

  • Development and use of the charts

  • Interpretation of the charts

  • The operating characteristics function

  • Average Run Length (ARL) for the mean chart


Statistical process control

  • Constuction & Operation of the charts

  • Control charts with variable sample size


Control charts for the attributes

Control Charts For The Attributes

Control Charts for the fraction non-conforming

  • Development & Operation

  • Variable sample size

  • OC and ARL

    Control Charts for non-conformities

  • Procedure with constant sample size

  • Procedure with variable sample size

  • OC and ARL


Process capability analysis

Process Capability Analysis

  • Using histogram

  • Using probality plots

  • Process Capability Ratio (PCR)

    • Cp

    • PCR for an of center process

    • Normality and PCR

    • Confidence Interval & Test on PCR

    • PCR using control charts


Chance and assingable cause of quality

Chance and Assingable Cause Of Quality

  • 2 types of variation

    • Natural variability (chance)

    • Assignable causes

  • Process with assignable causes is said to be out of control.


Basic principles

Basic Principles

  • Control charts consist of

    • Center line

    • Upper control limit

    • Lower control limit

      These limits is chosen so that when the process is in control, almost all the sample points will fall within the control limits.


Choice of control limit

Choice Of Control Limit

2 types of control limits

  • Three-sigma limits.

    • The distance between CL and the UCL/LCL is 3 sigma.

  • The 0.001 probability limits chart (use 3.09 sigma).

    • The distance between CL and the UCL/LCL is 3.09 sigma.

      Note:-

      3-sigma limits popular in US.

      0.001 prob. limits popular in UK & Western Europe.


Sample size sampling frequency

Sample Size & Sampling Frequency

  • Larger samples easier to detect.

    • Use large sample if the shift of interest is small and small sample if the shift of interest is large.

  • Frequent sampling is better.

    Current practice favour small but more frequent samples.


Analysis of patterns on control charts

Analysis Of Patterns On Control Charts

Process out of control if

  • One or more points fall outside the control limits.

  • Points exhibit some non-random pattern.

  • Exhibit a cyclic behaviour.


Pattern recognition

Pattern recognition

Process is out of control if

  • One point plots outside the control limit.

  • Two out of three consecutive points plot beyond the two sigma warning limits.

  • Four out of five consecutive points plot at a distance of the one sigma or beyond from the center line.

  • Eight consecutive points plot on one side of the center line.


Control charts for variables univariate1

Control Charts For Variables (Univariate)


Control charts for attributes

Control Charts For Attributes

  • Control Chart For Fraction Nonconforming

  • Control Chart For Nonconformities


Process capability

Process Capability

Calculated using

  • Process capability ratio (PCR), Cp.

  • Probability ;

    *need to know process std deviation


Process standard deviation

Process standard deviation

Process standard deviation is calculated by

*use to estimate process capability


Process capability ratio pcr c p

Process Capability Ratio (PCR), Cp

And is estimated by


Interpretation

Interpretation

What does it mean if

  • Cp < 1

  • Cp = 1

  • Cp > 1


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