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197 Cards in this Set

  • Front
  • Back
What drives companies?
Every company is driven by quality, cost, and lead-time reduction goals.
Who (1) focused in meeting customer demand for a product variety and (2) was the first to use strategy and marketing in industry?
Alfred Sloan
Why is Six Sigma the goal?
For complex products and systems, six sigma is necessary to produce or perform defect-free more than 90% of the time.
PLT = WIP X ER

Little's Law: The more WIP (Work in Progress), the slower the PLT (Process Lead Time).


Fixed Capacity (Exit Rate) X Increased People (WIP) = slower PLT

Goal Statements

S (Specific)
M (Measureable)
A (Achievable)


R (Realistic)
T (Time-bound)

Why measure?

(1) To gain knowledge about the problem, process, customer, or organization.


(2) To establish the current performance level (baseline).


(3) To determine priorities for action.

What is a measure?
A measure is a qualified evaluation of characteristics and/or level of performance based on observable data.
Non-Value-Added

(1) Any activity that does not change the fit, form, or function of a product.


(2) An activity the customer is not willing to pay for.


*We focus on non-value activities for reduction or elimination in Six Sigma.

RACI Chart

--It is a communication tool.


(R) -- Who is Responsible (the doer)?


(A) -- Who is Accountable (the Champion)?


(C) -- Who is Consulted (before action is taken)?


(I) -- Who is Informed (after action is taken)?

Stratification
Important in data collection to ensure sample is representative of the true population.
LEAN
LEAN is a systematic approach (like DMAIC) of identifying and eliminating all non-value-added activities (wastes -- think TIM WOODS) for sustained improvements through a continuous-improvement philosophy.
COPQ

Cost of Poor Quality




Quality could be how quickly we are getting a student through a curriculum.




There are costs involved with poor quality. (Think about an iceberg--what you do not see that is beneath the water.)






Control Chart

-A statistical tool used to see if a procedure is stable.


-1st used in Measure Phase.


-They provide a graphical picture of the process over time.


-They help determine special cause & common cause components to variation.

Champion

The Champion "owns" the project.


He/She approves the membership of the Six Sigma Team.


He/She kicks off the team launch and should be the person who invites the members to the team launch.

DMAIC

Define


Measure


Analyze


Improve


Control

DPMO
Defects Per Million Opportunities
Core Team Members

Think about who has the relevant skills (as the relate to gathering and organizing data) and contacts.


Capabilities more relevant than just subject-matter expertise.

DPU
Defects Per Unit
All work is a
Process
All processes have _________ and __________.
variation and waste
Variation causes ___________.
defects
FTY
First-Time Yield
Gate Review

A gate review closes out one DMAIC phase and opens the door (or gate) to the next.


It could also be a stopping point for the DMAIC process.

With what was Henry Ford most concerned?

Time.


(Ex: Used black paint on cars because it dried faster.)

What is the primary improvement vehicle in LEAN?
Kaizen
Kaizen

The focused application of LEAN tools to reduce muda (waste) to improve cost, quality, delivery, speed, flexibility, and responsiveness to internal & external customer needs.


Implements "do now" solutions.

Kaizen Events

They have a strong bias toward action.


They focus on the immediate implementation of solutions.


Decisions are often made on basic data and tribal knowledge.

KPOV

Key Performance Output Variable


(Another term for a metric)


It is the "why."

Mean

It is our optimal or desired level of performance (when looking at the mean of a process).


It is also the average.

Most dangerous waste?
The one that cannot be identified.
Muda
Waste
Mura

Unevenness (being "in the weeds"); huge spikes.


Example: A very large order from a customer.

PPM
Parts Per Million
SIPOC

Suppliers


Input


Process Step


Output


Customer


A SIPOC is used in the Define Phase to help us understand the baseline condition before we move to the Measure Phase.



TIM WOODS

TIM WOODS -- This helps us remember the eight wastes LEAN focuses on eliminating.



T (transportation)


I (inventory)


M (movement)



W (Waiting)


O (Overproduction)


O (Overprocessing)


D (Defects/Rework)


S (Subutilized Innovation/Crativity)



Value-Added

An activity than changes the fit, form, or function of a product.


The customer must be willing to pay for these activities.

Standard Deviation
Standard deviation (sigma) is the average distance between the data points and the mean on a normal curve.
RTY

Rolled Throughput Yield


The probability that a product will pass through the entire process without any rework and without any defects.

TPS

Toyota Production System


Formation of just-in-time (JIT) and LEAN production movements in the US and the world.

Time Trap

The process step that takes the most amount of time.


The time trap determines the exit rate.

Time
The foundation of LEAN. We cannot get time back (once it is gone; it is gone).
Team Launch

--Part of the Define Phase


--Charter is very important


--This is where the team gets together for the first time.

Range

The difference between the max and the mean.


range = max-min

Mode
The mode is the most frequently observed value in a data set.
Attribute Data

Has two main subsets: Binary Data and Discrete Data.


No gauge is used to measure this type of data.


Examples: Pass/Fail, Agree/Disagree, Win/Loss


More subjective than continuous data.


All of the values are positive integers.

Process Z
Sigma Level
Continuous Data

Any data or number than you can use a gauge to measure. A set of numbers that can potentially take on any value from minus infinity to positive infinity including zero.


Also called variable data.


Money = continuous data.


Continuous data can be divided into subsets.

Y = f (Xi)

Y = to function of Xs


X refers to the inputs that are associated with or create the output.

stakeholders
Parties who affect or can be affected by an organization's actions.
Six Sigma

Six Sigma is where the mean of the process equals six standard deviations away from the customer expectations of the process.


To determine the sigma value, we want to obtain the distance from the mean to the closest specification limit.

Six Sigma Quality Level

Sigma describes variability.


It is used to indicate how likely errors (defects) are to occur.


Six Sigma quality level equates to 3.4 PPM defects (99.9997).

Bell Curve

The Bell Curve is the VOP. The process determines the size ofthe Bell Curve. The customer determinesthe vertical lines (VOC). A defect is outside of the vertical lines (the upperand lower spec limits).


Spec limits are based on customer wants/needs.

Define Phase
(Key Elements)

ProjectCharter



Validationof Voice of the Customer (Firstwe need to determine who our internal and external customers are as related toour project.)




TeamLaunch




Highlevel SIPOC


CCR

Critical Customer Requirement

Boyle's Law

Asthe pressure increases, the volume never changes. (The more space we have to“put stuff,” the more stuff we will store.)




Boyle's law states that at constant temperature for a fixed mass, the absolute pressure and the volume of a gas are inversely proportional. (In other words, the product of absolute pressure and volume is always constant.)





Central Tendancy

Central Tendency is the property thatdata tends to group around a “center”point– This “center” may be themathematical average, most frequent observation, or data point in the center ofthe groupMedian, mean, andmode are common measures of central tendency. Central Tendency relates to accuracy.


Bias

The term given to the distance between theobserved average measurement and the true value, or “right” answer.



Bias isthe term given to the distance between the observed average measurement and thetrue value, or right answer.



Precision

The extent to which we are able to get the same data values when independent measurements are made on the same entity.

Dr. Shewhart

Dr. Shewhart of Bell Laboratories developed a theoryof variation that states there are two components to variation: Common Cause& Special Cause. He iscredited with the development of standard control chart based on +/- 3 standarddeviation limits to separate common cause variation from special causevariation.

Control Charts for Continuous Data

–I-MR,Xbar-R, Xbar-S

Control Charts for Binomially Distributed Attribute Data

P, NP

Western Electric Rules

They are a common method of identifying special cause variation.

Normal Distribution
(Empirical Rule)



99.73% of the data is within three standard deviations of the mean; 95.46% within two SD; and 68.26% within one SD.

Rational Subgrouping

The process of selecting a subgroup based upon “logical” grouping criteria or statistical considerations

Minitab Xbar-R

Used with continuous data.



Stat


Control Charts


Variable Charts for Subgroups


Xbar-R




Will need to enter variable(s) and subgroup size.

Minitab P Chart

Charts the proportion of defectives in each subgroup. Used with binomial attribute data.




Stat


Control Charts


Attributes Charts


P




Will need to enter variable(s) and subgroup size.

Special Cause Variation

It is due to assignable causes that we canidentify. It is not random and changesover time. It is usually caused by an force acting upon the process from theoutside. This variation can be eliminated by eliminating the outside force acting on the process. Before reducing or eliminating, first clearly identify the source and root cause of the variation.

Common Cause Variation

It is random, stable, and consistent over time. It is an inherent part of the process itself and can only be changed bychanging the process itself. Sincemanagement owns and creates the process, it is up to management to change theprocess to minimize this variation.

Tampering

Tampering,or over-control, is when adjustments are constantly made to a process based onindividual measurements, test results, etc.

Statistical Control

Statistical control means a process iscontinuing to operate as expected, exhibiting only a stable, predictable amountof common cause variation.

Descriptive Statistics

The field of statistics that defines or characterizes a population based uponthe data points ( i.e., values) taken from that population.

Parameters

The terms used to describe the key characteristics of a population.

N

The letter N is used to describe the number of values in apopulation (the population size) when the population size is not infinite.

Time Series Charts

Time series charts showthe individual data values plotted in the sequential order in which they weregenerated–Run charts and Control Charts arecommonly used time series graphs

Accuracy

Theability to stay on target as measured by the mean

Precision

Consistencyof a process as measured by the standard deviation

Right and Left Hand of Six Sigma
Central Tendency and Variability
Simple Time Series Plot

Used when we have only one variable and no groups.


GRAPH


TIME SERIES PLOT


SIMPLE


OK





Charts Used with Continuous Data
I-MR and X-bar-R

Charts used with Binomial Attribute Data
P and NP Charts
Charts used with Discrete Attribute Data
C and U Charts
Process Capability

Quantifiable comparison of VOC (Spec Limits) and VOP (Control Limits)


Most measures have some target value and acceptable limits of variation around the target. The extent to which the "expected" values fall within these limits determines how capable the process is of meeting its requirements.

MINITAB CHEAT SHEET
http://beauchampsixsigma.com/wp-content/uploads/cheat-sheets.pdf.


CP/CPK


PP/PPK

(These are terms used to discussprocess capability. CP – example, thermostat on wall. Temp should be 70 +/- 2 degrees.Use thermostat to adjust on the fly. Doesn’t have to stop anything to make the adjustment. If he actually has to go to the AC unit andshut it down to make the adjustment, use CPK (The K = the constant. Thatrelates to the process shifting up to 1.5 standard deviations.). CP = short term (Collected data over a certain aperiod of time); PP = long term (What is the process capability over the longterm?) PP extrapolates from the current process to see what the long-termpredicted stability is.



Control Limits
The horizontal lines above/below the mean on a control chart. They come from our historical data.

Measurement System Analysis


To validate measure system is sound. We want to make sure we do not have too much variation.


Key part of the measure phase of the DMAIC Process.


Helps us to verify and validate how much variance we have in our measurement system. (Exam Question)

Why measure?


Establish the current process level (baseline).


Determine priorities for action -- and whether or not to take action; substantiate the magnitude of the problem.


To gain insight into potential causes of problems and changes in the process.


Prevent problems and predict future performance.

Measurement System


Helps us make a data-driven decision about a process and change the process.


They help us to see processes clearly.

FMEA
0 no control
1 remote

3 moderate


9 strong

Discrimination or Resolution

Dependent upon how much accuracy we need. Ex: Olympic swimmer v. regular swimmer. We want our MS to be able to distinguish changes in 1/10 of range of the specification (LSL and USL).


Ex: LSL = .80; USL = 1.20 Range = .40 (Acceptable Discrimination in this example is .04)


Minitab (Number of Distinct Categories must be greater than four.)

bias


It is an effect. Another term for this is error. The definition between the true value and the value captured by your measurement system.


Linearity and stability can help offset bias. Calibrate. Can come from stability, linearity, or the person doing the process.

stability


The stability of the gauge itself over time. (Ex: bathroom scale with spring)

linearity

Ex: I know what my true weight is. I step on scale and it shows I am two pounds lighter than I actually am. (Always off by a set amount.)

Calibration

To adjust linearity and stability.

Gauge (Gage) R & R

It is a controlled study. Used with continuous data. Addresses the Precision of the Process. (It gauges the precision of our measurement system.)


Reproducibility (Takes more than one person).


It is expressed as a percent. Over 30% is unacceptable.

Repeatability

The inherent variability of the measurement system. It is the variation that occurs when successive measurements are made under the same conditions: same part, same characteristic, same person, same instrument, same set-up, and same environmental conditions. (Ex: Jack measuring same highlighter ten times; he does not know he is measuring same highlighter.) Want to remove as much bias as possible.

MSA Standards for Gage R & R

The AutomotiveIndustry Action Group (AIAG) has two recognized MSA standards for Gage R&R:

Short Form – Five parts measured two times by two differentoperators

Long Form – Ten parts measured three time each by threedifferent operators

For good insightinto Gage R&R, go to www.aiag.org

Remember that theMeasurement System is acceptable if the Gage R&R variability is smallcompared to the Process or Study Variation seen.

Distinct Categories

In a Gage R & R Report, the number of distinct categories should be greater than four. The distinct categories show the capability of the gauge to recognize differences.

Historical Standard Deviation

An option in Gage R & R. It references the part we are making not our measurement system.

Gage R & R Study (Crossed)

This is our go-to feature in Minitab. Gage R & R Study (Nested) is for doing a destruction test (where you can only measure something once). Ex. How much pressure can this part take before it breaks.

Gauge Study


Stats
Quality Tool


Gauge Study


Gauge R & R Study (Crossed)

Analyze Phase


Purpose is to drill down to the root cause. Tip: Focus on the time trap.


-identifythe few critical cause-and-effect relationships that explain most of therelationship between the key process input variables and the key process outputvariable.


-Start with subjective analysis and move to statistical analysis.

Cause and Effect Matrix

Used to develop an understanding of the greatest sources of variation within the process; pinpoints the critical few key process input variables (the X's) that must be addressed to improve the key process output variables. It is a matrix not a diagram. A subjective, stand-alone tool. Helps us get to root cause. Helps us determine what to focus on.

Fishbone Diagram

Cause and Effect (Remember 6M -- helps us categorize)


The 6 M’s are a mnemonic tool used primarily during the creation of a cause & effect diagram.


The 6 M’s are:

* Machines
* Methods
* Materials
* Mother Nature
* Manpower (People Power)
* Measurements
Five Whys
By repeatedly asking the question “Why” (five is a good rule of thumb), you can peel away the layers of symptoms which can lead to the root cause of a problem. (Can apply with fishbone diagram, or can stand alone.)
Brainstorming
Used to generate ideas.

FMEA
(It is a form but is also a process.)


Failure Mode Effects Analysis


(Started in our country in WWII, Manhattan Project. Used to develop atomic bomb and chemical warfare program.) Purpose is to head off Murphy's Law. (Severity, Occurrence, and Detection -- all assigned a value. RPM (Risk Priority Measure) -- the number we get when we multiply these three values.

5S


1.1 Sort


1.2 Systematic Arrangement (Set in Order)
(A place for everything; everything in its place.)


1.3 Shine (keeping things clean, painted, etc.)


1.4 Standardize (labels, signage, color-coding)


1.5 Sustain (Make part of our culture; keep in proper order) -- hardest "s"

Pearson Correlation Value
In statistics, the Pearson product-moment correlation coefficient (sometimes referred to as the PPMCC or PCC or Pearson's r) is a measure of the linear correlation between two variables X and Y, giving a value between +1 and −1 inclusive, where 1 is total positive correlation, 0 is no correlation, and −1

Fitted Line Plot

The "fitted line" is the running average of the data points.


We need to select "storage" when we run this and store (residuals and fits) so that we can later run a residual analysis.

Adjusted R Sq


Adjusted R Sq is to R Sq as PP is to CP


(More appropriate to use Adjusted R Sq)

Simple Regression

Input/output = continuous.
Looks at the correlation between the X and the Y. Determines the slope.

Residual Analysis

Once we run a regression analysis, we need to do a residual analysis just to verify the model we use is healthy.

Hypothesis Testing

Allows us to determine statistically whether or not a value is cause for alarm (or is simply due to random variation).



Sample size is important.


Alpha Risk


(On Exam)


.05 is representative.


Type I error.


"I've discovered something that really isn't here."


Innocent man convicted.


(producer risk)


Beta Risk


(On Exam)


Type II error.


"I've missed a significant effect."


Guilty man set free.


(Consumer risk)


Reverse of Type-I error.

ANOVA

Input is categorical and output is continuous.


Testing more than two things with ANOVA.


One factor with more than two levels. (Factor and Levels = terms that will be on the exam.)


Checks variation within (ex. individual team), between (ex. between teams), and total.

Sir Ronald Fisher

Developed the ANOVA mathematical model to help us determine which X's have more impact on the Y.

Chi-Square Test for Association
(AKA -- Pearson Chi Square Test)
Chi-squareTest for Association is a (non-parametric, therefore can be used fornominal data) test of statistical significance widely used bivariate tabularassociation analysis. Typically,the hypothesis is whether or not two different populations are different enough in some characteristic or aspect of their behavior based on two random samples.

Chi -Square Goodness-of-Fit Test

Chi-square Goodness-of-fit Test is used to test if anobserved distribution conforms to any particular distribution. Calculation ofthis goodness of fit test is by comparison of observed data with data expectedbased on the particular distribution.



Null Hypothesis (for Chi-square)


• Ho:The null hypotheses (P-Value > 0.05) means the populations have the sameproportions.


Alternate Hypothesis (for Chi-square)


• Ha:The alternate hypotheses (P-Value <= 0.05) means the populations do NOThave the same proportions.

FEMA

Failure, Mode, Effects, Analysis




RPN = P (probability of occurrence) X S (severity) X D (detection)




The higher the number, the more risk.


(FEMA is all about reducing risks.)

FMECA (same as FEMA)

Failure, Mode, Effects, Criticality, Analysis

VOC (Voice of Customer)

VOC = Voice of Customer = House of Quality = QFD (Quality Function Deployment)


The VOC is the upper and lower spec limits.


The VOC sets the expectations.

Field of Quality

Is about reducing risks.

Gage R & R

Tells us how effective our measurement system is.

ONE-WAY ANOVA

Type of hypothesis testing. With this type of test, we are really trying to decide is whether any of the means are different. It is a statistical method for comparing the means as of more than two levels when a single factor is varied.

Pearson Correlation

1 = perfect "positive" correlation


0 = no correlation


-1 = perfect negative correlation

Capacity

Themaximum amount of service a process can deliver over a continuous period oftime6&qg=728&qi=1366&qj=728&qk=0&8#3B

Constraint

A time trap that is unable to produce at the exit rate required to meet customer demand (internal or external).

Time Trap

Anyprocess step that inserts delay time into a process. We are concerned with the time trap thatinjects the MOST delay.–Example: our property appraisers evaluate 120properties per day, all other process steps can process 145 applications per day

Three Basic Principles of LEAN

Takt, Flow, and Pull.

Takt

German word that means beat or count in music.


It is the pace of customer demand.


Determined by the customer.

Takt Rate v. Time Time

Reverse numerator and denominator in calculation.




Takt Time (How often do we need a (one) student to be completing registration?)


Takt Rate (X number of units -- multiple units)

Flow

Work Control Systems


(aka CONWIP)

WorkControl Systems limit the amount of Work-In-Process inventory in order to control Process Lead Time.

PCE

Process Cycle Efficiency


(The percent of PLT that is value-added).


It is a reference number.


When we increase PCE, we compress PLT.


PCE = VAT/PLT



VAT (value-added time); this time does not change.

Kanban

A Japanese word, meaning “Sign”or “Signal” Kanban is considered to be a“Pull” Inventory Replenishment System.


(Ex: Replenishing pork 'n beans in a supermarket)

One-Piece Flow

The ultimate goal in LEAN


(Where you cannot go to one-piece flow, you kanban.)


Kanban are replenishing signals.

Pull System

The PullSystem isa flexible and simple method of controlling/balancing the flow of resources.Eliminates waste of handling,storage, expediting, obsolescence, repair, rework, facilities, equipment,excess inventory (work-in-process and finished)

Components of Good Pull System

*Production based on actualconsumption
* Small lots
*Low inventories
*Management by sight


* Better communication

Two Types of Lead Times Related to Kanban

Production Lead Time


Transport Lead Time

Transport Lead Time

The amount of time it takes totransportthe part from the time the signal is sentto thetime the part is received.

Production Lead Time

The amount of time it takestoproduce the part fromthe time the signal is senttothe time the part is received. Production lead time includes the transportand production time of the part.

Push System (MRP)

Materials Requirements Planning


--a complex computerized inventory production planningsystem with rules and procedures that supportpush, or batch manufacturing.

Kanban Cards

Triggers reorder.


Includes the ordering information.


Barcoding on kanban cards is GREAT.

Gas Gauge Type Kanban Board

Typically used for internally replenished inventory.

Kanban Mailbox

See-through. Should be able to see from a distance if there is a card in it.

Safety Stock

Covers us for variation in demand during lead time.


(Unit of measure for usage, lead time, and safety stock need to be in the same units. Ex: all in hours)

Kanban

Better connects the supplier to a customer.


(Should know how to calculate the Kanban quantity on the exam)

What is SMED

Single Minute Exchange of Design

Benefits of SMED

Lessadjustments means less chance for errors.•Elimination of trial processing reducesmaterial waste.•Preparation of operating conditions in advancehelps stabilize product quality.•Increased scheduling flexibility/ capacity.• Reduces the need for an on-hand inventory.• Smaller runs means less likelihood of largescale defects in inventory.•Improved service levels for our customers.

Set-up Time (Change-over Time)

“Set-up time is the total timebetween the lastgood piece off of a run and the first goodpieceoff of the next run.”

Set-up Time (Classifications)

Set-up time can be classified as:Internal Set-up:Those activities that must beperformed while themachine is idle or shut down. Example:Removing tooling, fixture, or die.External Set-up:Those activities that are performedwhile the machineis operating. Example:Preparing tooling for next set-up.

SMED Methodology

1. Observeand document the current set-up. 2. SeparateInternal and External elements.3. Developan Improvement Plan for each element. 4. Observeand document the new set-up process. 5. Standardizethe new set-up procedure.6. Celebrateyour success!!!!


Seven Rules of SMED

Rule 1 SMED begins and ends with the 5S’s.Rule 2 Convert Internal set-up to External, then improve the remaining Internaltime.Rule 3 Bolts are our enemies (if required,standardized).Rule 4 If you must use your hands, make sure yourfeet stay putRule 5 Don’t rely on special fine tuning skillsRule 6 Standards are not flexibleRule 7 Standardize all set-up procedures.

TPM

TPMis a common sense approach toproactively maintain equipment, eliminate unscheduled downtime, and improve thelevel of cooperation between Operations and Maintenance.

Preventive Maintenance

Preventive Maintenance is a timeor usage based method of maintainingequipment. Maintenance activities are performed on equipment based on definedtime and/or usage intervals to prevent equipment breakdowns from occurring.PreventiveMaintenance Schedules

Predictive Maintenance

Predictive Maintenance is a situation based method of maintainingequipment. Maintenance activities areperformed on equipment based on visible signals or diagnostic techniques toprevent equipment breakdowns from occurring.Vibration AnalysisLaser MeasuringUltrasoundGenerator TestingThermographyOil Analysis

OEE

Overall Equipment Effectiveness (OEE) isthe measure of the percent of time a piece of equipment is producing quality product at the designed rate.

Evaluation Matrix

A tool you could use to rate/evaluate alternative solutions.Helps you compare solutions.

Pilot

A pilot is a test of a proposed solution. This type of test has the following properties:–Performedon a small scale–Usedto evaluate both the solution and the implementation of the solution–Purposeis to make the full scale implementation more effective–Givesdata about expected results and exposes issues in the implementation plan.

Tukey

Tukey Pairwise Comparisons answer the question "which ones are statistically significantly different?" ANOVA shows if there is a difference, but Tukey actually shows where the difference is.

Measurement System

Measurementsystems are like eyeglasses, when the lenses are incorrect, the vision isblurred. A measurement system allows usto “see” the process. When a measurement system is poor, we lose the ability tomake good decisions about how to improve the process.

Measurement System (Purpose)

Thepurpose of a measurement system is to better understand the sources ofvariation that can influence the results produced by the process underinvestigation.

Measurement System (Common Key Measures)

The two most common key measuresassociated with a measurement system are accuracy and precision.

Kappa Value

Kappa value should be at least .7

Accuracy

The extent to which the average of the measurements deviate from the truevalue. In simple terms, it addresses the question, “On average, do I get the‘right’ answer?” If the answer is yes,then we say that the measurement system is accurate. If the answer is no, then we have aninaccurate measurement system.

Bias

the term given to the distance between the observed average measurement and thetrue value, or “right” answer

Reputability
(Gage Precision)

Theinherent variability of the measurement system. It is the variation that occurs when successive measurements are madeunder the same conditions

Severity, Occurrence, Detection

Severity–Importanceof the effect on customer requirements.•Oftencan’t do anything about this. (1 not severe; 10 very severe) •Occurrence–Frequencywith which a given cause occurs and creates failure modes. (1 not likely; 10 very likely) •Detection–Theability of the current control scheme to detect or prevent a given cause. (1 likely to detect; 10 not very likely to detect)

5S (Second S)

Storage -- A place for everything. Everything in its place. It is all about having the visuals in place.

ChiSquare

A statistical test that is used to compare observed data with the data we would expect to obtain. Were the differences between the observed and expected the result of chance or some other factor?

Residual Analysis

Once we run a regression analysis, we need to do a residual analysis to verify the model we used is healthy.

Pearson Correlation Value

Helps quantify the relationship of X to Y.
+1 = perfect, positive correlation.


0 = no correlation.


-1 = perfect negative correlation.

R Square

Based on data set you gather.

Adjusted R Square

Extrapolates from R Square; more appropriate to use than R Square.

Predictor Interval

Looks at one data point at a time. It is a stronger data tool to use for prediction.

Residual Plots for Y

The dots are the residuals -- not the data points.If all the dots follow closely to the line, there is a normal dist. of the residuals. (Versus fits) -- scattered = good; do not want to see a pattern here.

Hypothesis Testing

Things are not always as they appear.
We test for the null. If we reject the null, we accept the alternative hypothesis. Sample size is important. (Increase sample size to make the right call when testing hypotheses.)

Box Plot (Interpreting)

The cross line is the median. The plus with the circle is where the mean is.

P Value

If it is less than .05, we can reject the null. (Remember: If it is low, the null must go. If it is high, we keep the guy.)

Factors & Levels (On Exam)

With one-way ANOVA, still only looking at one factor (like teams) but may have multiple levels (the different teams). Inputs (team one and team two -- categorical) outputs (time -- continuous). Follow ANOVA with a 2-sample t-test.

Alpha Risk

This is also known as the PRODUCER'S RISK. It is a Type-I error. (.05). Calling something that is good bad. Example: convicting an innocent man.

Beta Risk

This is also known as the CONSUMER'S RISK. It is a Type-II error. (.95). Calling something that is bad good. Example: Setting a guilty man free.

The zero plane1

In Tukey's test. If the horizontals cross the vertical (0), there is no statistically significant difference. In the carpet sample exercise, there is a statistically significant difference between 4 and 2.

Chi Square (Hypotheses)

• Ho:The null hypotheses (P-Value > 0.05) means the populations have the sameproportions.

• Ha:The alternate hypotheses (P-Value <= 0.05) means the populations do NOThave the same proportions.

Chi Square Critical Value

3.841 (If it is lower than this, we accept the null)? Ask Kris.

Statistics

(LB) -- They are associated with a sample.

Systems

Usually made of multiple processes.

Statistical Control

Stable and Predictable

Discrete Distributions


Binomial (Binary): Data that is used to track defective items. Example: Students who fail.


Poisson: French Word. Used when looking at defects. Can have several defects related to one defective item. Example: commonalities among students who failed. Hypogeometric: Sampling w/o replacement.

Inferential Statistics

Inferring something from a larger sample group based on a sample.

The Field of Quality

Is involved with minimizing risk.

Robust Design

Designed so that it is almost immune to noise. Taguchi. Minimizes the impact noise has on an output. Noise factors: hold on account, financial issues, transportation issues, life issues.

Calculated P Value

Regardless of the test in Minitab, we will get a calculated P value. If the "actual P" is less than .05 (the reference P), then we can reject the null.

P Values are really about probability.