6 sigma tool overview traducido
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WHY Provides clear understanding of the
execution (baseline). Illustrates what is happening versus
what should be happening. Captures critical organizational
knowledge. Facilitates identification of problemareas.
Stimulates ideas for businessprocess reengineering.
Facilitates identifying locations fordata gathering (processmeasurement).
WHAT
A process map is a graphical means ofdepicting the steps or activities whichconstitute a process. It is a fundamentalplanning tool for identifying customers.Process Maps are also called flow charts.
HOW Use the right people. Include people who
work in the process. Start with Post-It notes; rarely is a sessioncompleted without reworking the map.Enough time needs to be allotted. ProcessMaps take longer than is expected.
Use the common charting symbols.
Mapa del Proceso
When to use:In im plementa t ion p lanning, reassesscr i t ica l needs / s teps f rom other workgrou ps / funct ion s in l ieu of com mercia lagreement changes as appropr ia te , news teps mus t be comm unica ted anddocumented .
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Activities An action that is oneof several sequentialsteps in thecompletion of abusiness process
Roles Funcionales A position assigned or assumed toaccomplish an activity or sub-activity
Diagrama RACI Definicin de Roles yResponsabilidades en un Proyecto (Matriz usada para identiificarrelaciones entre dos o ms comjuntos de informacin)
R = Responsable; A = Accountable; C = Consultado; I = Informado
R C A I
R C A
I
C
C I
R A
I R C A
R C A I
R C A I
I
R C
A
A position assigned or assumed to accomplish anactivity or sub-activity
Activities
An action thatis one ofseveralsequential
steps in thecompletion ofthe project
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Grfica de Pareto
WHY This technique is based on the
Pareto principle (80/20), whichstates that 80% of our problemcan be explained by just 20% ofthe causes.
The Pareto chart makes clearwhich "vital few" problems(causes) should be addressedfirst.
WHAT A bar chart in which the bars are arranged in
descending order, with the largest to the left.Each bar represents a problem (cause). Thechart displays the relative contribution of eachcause to the total problem.
HOW List all elements of interest. Measure the elements, using the same unit of
measurement for each element. Order the elements according to their
measure, not their classification. Create a cumulative distribution for the
number of items and elements measured andmake a bar and line graph.
Work on the most important elements first. Continue for several iterations if data is
available or can be measured.
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Diagrama Causa y Efecto(Espina de Pescado)
WHY Sort and relate the factors
affecting a process while littlequantifiable data is available.
Discussion guide to assist indetermining root causes. To determine the real cause to
the problem versus a symptom. To identify a team's level of
understanding.
WHAT Represents the relationship between an effect(problem) and its potential causes.
HOW Name the problem. Decide the major categories for causes.
Major causes may include: data and
information systems, dollars, environment,hardware, materials, measurements, method,people, training, etc.
Brainstorm for more detailed causes. Ask"why" each major cause happens at least 5times.
Eliminate causes that do not apply. Discuss the causes and decide which are
most important. Work on most important root causes. Perform another iteration for root causes, if
necessary.
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Tabla 1: Categoras sugeridas
Industrias deManufactura (Las 6 Ms)
MachinesMethods
MaterialsMeasurementsMother Nature(Environment)
Manpower(People)
Etapas de Proceso (por ejemplo )
Determine Customers Advertise Product
Incent PurchaseSell ProductShip ProductProvide Upgrade
Industrias deServicio (Las 4Ps)
Policies
ProceduresPeoplePlant/Technology
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Multivoto
WHY Improve the teams' ability or allow
each member to express strength of
opinion through voting withoutrisking judgment by group. To narrow down a list of alternatives
(to the one or two most important) .
WHAT
A method for selecting or narrowing a set of alternatives.Can be used to prioritize a list.HOW List all alternatives and count them ( i.e. , N# of
alternatives). Give each member N/3 votes (or whatever # seems
reasonable given the number of alternatives) . Have each member cast his / her votes given these
guidelines: The member can cast all, some, or none of his
votes for any alternative. When all votes (the sum) are cast, the member is
done. Rank order the alternatives based on the number of
votes received.
Repeat the process until desired result is accomplished.
ISSUE A IIII
ISSUE B III
ISSUE C IIII
ISSUE D II
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Hoja de Verificacin
WHY To present data in a way that clearly
communicates the answer. To help analyze the data to
determine the factual answers to thequestion.
To generate information from data. To collect the data and facts relating
to the question.
WHAT A simple recording form that has been
designed to readily interpret results from theform itself. A well-designed form does morethan simply provide a record of the data itallows simultaneous analysis trends in thedata.
HOW
Formulate good questions that relate tospecific information needs of the project. Use appropriate data analysis tools ( e.g. ,
Pareto, histogram). Define comprehensive data collection points. Understand data collectors and their
environment.
Design data collection form (keep it simple). Train data collectors including purpose of
study Audit the collection process.
Problem
1 2 3 Total A II II I 5
B II I II 5
C IIII II IIII 10
Total 8 5 7 20
Month
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WHY To visually represent data. To monitor a process to see
whether the long range average
is changing. To focus attention on truly vital
changes in the process. To identify meaningful trends or
shifts in the average.
WHAT The simplest possible display of trends
within written observation points over aspecified periods of time.
HOW Identify the measurement to be made.
Decide on the time interval of themeasurements. Select the scale to be used. Plot points on the order in which they
occur and connect with straight lines. Analyze the data looking for non
random events. It is expected that weshould find an equal number of pointsfalling above and below the average.
Measure
Time
Carta de Corrida
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Diagrama de Scatter
WHY To determine relationships between
two sets of data. For example,whether work backlog affects theerror rate of computer data entry.
Data relationships can be non-mathematically evaluated by using ascatter diagram.
WHAT A graphical method of plotting two
parameters to determine if there is arelationship between the two. This tool issometimes called a cross plot or scatter plot.
HOW Collect data that are suspected to be related. The data pairs are plotted on X-Y axis as a
scatter diagram. Each axis is used for one of the two sets of
data being compared. The Y axis is usually reserved for the
characteristic we would like to predict, e.g. ,the error rate. The X axis is used for the variable which
makes the prediction, e.g. , work backlog.
Variable 2
Variable 1
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Carta de Control
WHY Monitor and control a process. At a glance, can determine
whether process is in control. To know when to adjust a
process. To know the difference between
assignable and chance variation. To determine process capability. To predict from the pattern of
variability the percentage of
occurrences that fall outsideexpected values.
WHAT The application of statistical techniques for
measuring and analyzing the variation of aprocess. The diagnosis of the SPC graphsallow one to analyze problems and improvethe process.
HOW
Decisions on the objectives of the charts. Choice of variable or attribute charts. Select subgroup size and frequency of data
collection. Calculate average, standard deviation,
control limits and plot the charts. Draw preliminary conclusions from the
charts. Indication of control or lack of control.Relationship between what process is doingand what its supposed to do.
Take action suggested by the charts.
#
Reading over Time
LCL
X
UCL
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Diagrama de Afinidad
WHY When breakthrough is needed
to help organize. To help develop central
theme. Facts on a problem are not
well organized. Breakthrough in traditional
thinking is needed.
WHAT A tool for organizing facts, opinions and
issues into natural grouping as an aid todiagnose a complex problem. Theinputs are listed on cards which are
then rearranged until useful groups areidentified.HOW Assemble the right team. Clearly state the problem to be
addressed.
Brainstorm ideas on cards. Clearly display cards on wall as ideas
are generated. Sort cards into related groups. Create header cards. Draw the completed diagram.
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Diagrama de Inter relacin
WHY
Allows identification ofpotential root causes whenlittle data exist
WHAT A tool to assist in classification of Cause and Affectrelationships that exist among potential root causes.
HOWDraw the boxes in a circular Pattern. List the potentialroot causes in the boxes. Choose any idea as a startingpoint, Is there a relationship between the boxes. Useonly one way arrows, always draw the arrow to the
stronger direction influence. Repeat the question for theremaining boxes. No relationship is acceptable. Tallythe number of outgoing and incoming arrows for eachbox..
A high number of outgoing arrows indicate root cause.
A high number of incoming arrows indicates an item isan affect.
Focus on root causes.
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A prueba de Error(Poka-Yoke)
WHY
To prevent defects/rework in abusiness process.
WHAT Creative tools/devices/procedures that
mistake -proof a business process. HOW Define defect. Determine cause of defect. Utilize
Brainstorming/Benchmarking/BestPractices to develop a technique tomistake -proof the process.
Implement technique.
????
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Matriz Causa-Efecto
WHY To determine what key process
steps / variables should be thesource of focus for performanceimprovement to best meet customerrequirements.
WHAT A cause and effect matrix is a simplified QFD
(quality function deployment) matrix thatgives focus to the Steps / inputs that aremost likely to affect process output based onCCRs.
HOW List key process steps and / or inputs against
outputs in a matrix format. Give outputs ratings relative to customer
importance Determine correlation between all inputs to
all output variables as follows: 0 = no correlation 1 = remote correlation
3 = moderate correlation 9 = strong correlation Cross multiply and develop input variable
totals. Focus on the variable with the highest
scores.
1 2 3 4 5 6 7 8
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Anlisis de Modo y Efectos de Falla(FMEA)
WHY Methodology that facilitates
process improvement. Identifies and eliminates concerns
early in the development of aprocess or design.
Improve internal and externalcustomer satisfaction.
WHAT Failure Modes & Effects Analysis is a
methodology to evaluate failure modes andeffects in designs and in processes. Theapproach is very similar to the basic PDPCmethod.
HOW
Team identify potential failure modes for designfunctions or process requirements.
They assign severity to the effect of this failuremode.
They assign frequency of occurrence to thepotential cause of failure and likelihood ofdetection.
Team calculates a risk priority number bymultiplying severity times frequency ofoccurrence times likelihood of detection.
Team uses ranking to focus processimprovement.
Likeliness of Failure: 1-10 with 10 representing most likely Detectability of Failure: 1-10 with 10 representing most difficult Severity of Failure: 1-10 with 10 representing most severeRisk Priority = (Likeliness of Failure) X (Detectability of Failure) X
(Severity of Failure)
FailureMode Specific Cause Effect of Failure Likelinessof Failure Detectabilityof Failure Severity of Failure RiskPriorityGas will notshut off
Spring brokepreventing valvefrom closing
Explosion resulting inproperty damageand/or serious injury
3 5 10 150
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Herramientas avanzadas
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WHY To transform data into information
WHAT A statistical discovery software used by
Dow Black Belts to explore data anddiscover patterns
HOW JMP is controlled largely through point
and click ,mouse manipulation and aimsto present a graph with every statistic,very similar to Excel spread sheets.
JMP
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Error de Medicin / Gage R&R
WHY Organizations often overlook
the measurement system as thesource of error resulting inmaking capable processesappear unsatisfactory orunsatisfactory processesappear capable.
Gage R&R measures the quality
of the measurement system.
WHAT A Gage R&R study is conducted to
understand the repeatability andreproducibility of your measurementsystems.
HOW Prepare for Gage R&R study. Conduct Gage R&R study. When R&R divided by the specification
yields: Under 10% Acceptable gage. 10% to 30% May be acceptable. Over 30% Gage is unacceptable and
should be corrected or replaced.
Gage R&R
Repeatability Reproducibility
Measurement Error
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Cp & Cpk (Capacidad del Proceso)
WHY A process is said to be in
control if no special causes ofvariation exist.
A measure of process capabilitycan provide insight into issuesof mean shift of the process orexcessive variability. Theseinsights can be used to improveprocess capability.
WHAT Process capability/performance studies
assess a process relative to specificationcriteria.
Cp is the capability index that is defined asthe tolerance width divided by the processcapability, irrespective of process centering.
Cpk is the capability index that accounts forprocess centering.
HOW Create a control chart. Calculate standard deviation. Calculate C p:
Cp = (USL-LSL)/6s
Calculate C pk: Cpk = min[(USL-m)/3s,(m-LSL)/3s]
x
LSL USL
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WHAT- Sigma is;
A measure of goodness The higher the Sigma level, the lower the defect
rate. How precise the process is at any given time True potential of the process technology to meet the
given performance specifications
What the process can do if everything is controlled Only random variation/background noise present
HOW Use the Z transformThe Z measurement scale has no units
Allows comparison of Zs when units not same Any measurement (X) can be transformed into a ZUse Dow Sigma Calculator Excel spreadsheetWith one process capability measure can calculateothersDow Sigma Calculator.xls
)
Capability Measure AssumptionsCp Normal
Centered
Cpk
Z Values
Normal
DPO
DPMO
Percent Out of Spec
1 Defect Per # of OpportunitiesSigma value
None
Sigma como medida de Capacidad deProceso
Why
Sigma indicates how often defectsare likely to occur .Sigma is a dimension less number andtherefore allows comparison of variouswork processes, products and services
of varying complexity on a similarbasis!
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A: Current PositionWhere at Now?
Business Strategy/Direction/NeedsScope - Products/Services w/ Quantity/DollarsGeneral Background (Include major Barriers - Contract constraints, etc.)Risk/Reward Quadrant AnalysisOther Matrix Analysis as appropriate (Supplier Base, Market Share/Leverage, etc.)
B: Opportunity Analysis/Scenario DevelopmentWhy Should We Do It?
AssumptionsOptions
Obstacles/Barriers Internal - Organizational & Capital CostsRegulatoryMarketSelection & Justification
C: Objective PositionWhat Want to Achieve?
Value Proposition: Cost savings (VAP), Risk reduction, etc.Supplier & Methodology ChangesTime PeriodCan show Directional Change (Arrow) in Matrix from Current PositionCan include Matrix of Market Share/Leverage from Current Position
D: Negotiation PlanWho Does What, When to Deliver the Value?
Roles & Responsibilities - Team DefinitionTactical Plan (Negotiation, Communications, Processes, etc.)
E: Implementation PlanWho Does What, When to Deliver the Value?
Roles & Responsibilities - Team DefinitionTactical Plan (Negotiation, Communications, Processes, etc.)
What is current Sigma?
Calculating Sigma - Defect, Unit and Opportunity (LeGrange research)
Area: Bulk Marine Freight Costsbetween the U.S. and EuropeCustomer Quote: Leverage
combined Dow / UCC volumeScope: shipments between USarea and EuropeCTQ description: Cost per MT CTQ Measure: Dow oldagreement price vs Leveragedagreement priceCTQ Specification: Avg.$3.00 per ton cost reductionDefect: Cost above Six SigmaTarget cost reduction Unit: = $Opportunity: 1.89093E-05 of $
Sigma Calculations by Using Regression
X Axis Y Axis2 Q 2002 cost
per MTDPMO
(long-term)Z (long-term)
Six Sigma level Performance 30.6 6.00 3.4 4.50Baseline level Performance 33.6 2.50 158655.3 1.00
New Performance level 31 3.53 21157.0 2.03
Sigma = 3.53 and a long-term DPMO of 21,157.0defect = 1.89093E-05
SIGMA
0.0
20000.0
40000.0
60000.0
80000.0
100000.0
120000.0
140000.0
160000.0
180000.0
30 30.5 31 31.5 32 32.5 33 33.5 34
2 Q 2002 cost per MT
D P M O ( l o n g - t
e r m
)
DPMO (long-term) = 52883.9529853113 2 Q 2002 cost per MT + -16182 .
There are cases where establishing the unit of measure or basis of adefect for a agreement negotiations / S.A.L.T. project is not always
straight forward and traditional defects cannot be measured.We use regression analysis to establish a Sigma for S.A.L.T. projects.
contact your MBB for assistance in calculating Sigma for your project below is example of Sigma by regression
Baseline
New Performance Level
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Simple Relationship Plots
WHY To provide visual insight into
relationship between KPIVs andKPOVs without requirement to modifythe process.
To develop relationship hypotheseswhich can then be tested statistically.
These graphical techniques aresimilarly used to validate statisticalmodels.
Ultimately, these visualizations offerinsight to direct and focusimprovement efforts.
WHAT Graphical representations of data which enable
relationship hypotheses to be developed. Somekey examples are Multi-Vari Charts, Box Plots,Marginal Plots, Main Effects Plots, and InteractionPlots.
HOW Collect data that are suspected to be related.
Input the data into the plotting feature of a statisticalanalysis program and plot the desired graphs. Analyze the plots for patterns and trends to
determine whether additional testing is required orwhether statistical conclusions seem supported bythe graphical analyses.
NOTE: Conc lus ions shou ld no t be d rawn f romgraphica l techniques . These techniquesprov ide c lues to sugg es t fur ther s ta ti s t ica ltes t ing to formula te f ina l conc lus ions to foc usimprovement .
.85
21 3
.90
.80
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Hypothesis Testing
WHY To utilize test statistics to make
statistically significant inferencesregarding unknown populationsfrom sample data.
To establish a decision rule toachieve an optimal balancebetween taking incorrect actionsas a result of the decision.
WHAT A technique to determine the decision-making
process for an experiment to help ensure thedecision made is statistically valid.
HOW Formulate the hypothesis. Consider whether
upper-tailed, lower-tailed, or two-sided tests arerequired, (Default = 2 sided). Define the nullhypothesis to depict the most significantscenario.
Select the test statistic, eg., population meanis different from value = t test, data is notnormally distributed = chi square / shapiro -wilke.
Establish the significance level and theacceptance and rejection regions for thedecision rule.
Collect the sample data and compute the valueof the test statistic.
Make the decision.
H o is true
H o is false
Reject H o Accept H o
Critical Value
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Analysis of Variance (ANOVA)WHY To determine whether differences exist among
two or more settings, treatments, or conditions.For example, differences between plantaverages.
Treatment similarities and differences can bemathematically evaluated using Analysis ofVariance.
WHAT A mathematical method of evaluating whether the
means of different treatments are the same. Theanalysis determines whether discrepanciesbetween treatment means are more than could bereasonable expected from variation within treatments.
HOW Collect data to compare the different treatments. Input the data into the ANOVA feature of a
statistical analysis program and generate the
ANOVA table. Validate the model by evaluating residual plots (allresiduals, each treatments residuals, residual timesequence, etc).
Utilize the F value to determine the statisticalsignificance level of the comparison.
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Linear Regression Analysis
WHY Explains how statistical modeling fits
into y = f(x)
To determine the relationships ofindependent variables (X) on adependent variable (Y). For example,whether sales are a function of price,promotions, and market factors.Significant relationships are useful forprediction
Cause and effect relationships can bemathematically evaluated usingregression analysis.
WHAT A mathematical method of developing an
equation of a line that best depicts therelationship between the dependent andindependent variables. The line is fitted so thesquared differences between the line and theplotted points are least .
HOW Collect data that are suspected to be related. Input the data into the regression analysis feature of
a statistical analysis program and plot the fittedline.
The R Squared value depicts the percent of thevariation in the data explained by the fittedequation.
Evaluate the T statistic for each dependent (X)variable to determine its statistical significant on Y.
High R Squared and T statistics are desired. In multivariable regression, play with the model by
adding and dropping X variables to achieve high RSquares and T statistics.
Y
X
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