| Basic Tools |
Given a list of problems, the Six Sigma Black Belt will be able to construct a Pareto
Diagram of the problem frequencies. |
| Basic Tools |
The Six Sigma Black Belt will
be able to construct and interpret a run chart when given a table of
data in time-ordered sequence. This
includes calculating run length, number of runs and quantitative trend
evaluation. |
| Basic Tools |
Given a set of raw data, the
Six Sigma Black Belt will be able to construct a histogram. |
| Basic Tools |
The Six Sigma Black Belt will
be able to read values from a cumulative frequency ogive. |
| Descriptive stats |
Given a table of raw data, the
Six Sigma Black Belt will be able to prepare a frequency tally sheet of
the data, and to use the tally sheet data to construct a histogram. |
| Descriptive stats |
The Six Sigma Black Belt will
be able to compute the mean and standard deviation from a grouped
frequency distribution. |
| Descriptive stats |
Given a set of raw data the Six
Sigma Black Belt will be able to identify and compute two statistical
measures each for central tendency, dispersion, and shape. |
| Descriptive stats |
The Six Sigma Black Belt will
be able to compute univariate statistics for samples. |
| EDA |
Given a table of x and y data
pairs, the Six Sigma Black Belt will be able to determine if the
relationship is linear or non-linear. |
| EDA |
Given a stem & leaf plot,
the Six Sigma Black Belt will be able to reproduce a sample of numbers
to the accuracy allowed by the plot. |
| EDA |
Given a box plot with numbers
on the key box points, the Six Sigma Black Belt will be able to identify
the 25th and 75th percentile and the median. |
| Enumerative statistics |
Given a list which describes
problems by department, the Six Sigma Black Belt will be able to
construct a Crosstabulation and use the information to perform a
Chi-square analysis. |
| Enumerative statistics |
The Six Sigma Black Belt will
be able to compute confidence intervals for various statistics. |
| Enumerative statistics |
The Six Sigma Black Belt will
be able to perform chi-square analysis of contingency tables. |
| Finance |
Given a table of COPQ data over
time, the Six Sigma Black Belt will be able to perform a statistical
analysis of the trend. |
| Finance |
Given a table of COPQ data over
time, the Six Sigma Black Belt will be able to perform a statistical
analysis of the distribution of costs among the various categories. |
| Finance |
The Six Sigma Black Belt will
know the approximate relative cost of poor quality associated with
various sigma levels (e.g., three sigma firms report 25% COPQ). |
| Finance |
The Six Sigma Black Belt will
be able to quantify the value of customer retention. |
| Finance |
The Six Sigma Black Belt will
be able to compute the value of money held or invested over time,
including present value and future value of a fixed sum. |
| Finance |
The Six Sigma Black Belt will
be able to compute PV and FV values for various compounding periods. |
| Finance |
The Six Sigma Black Belt will
be able to compute the break even point for a project. |
| Finance |
The Six Sigma Black Belt will
be able to compute the net present value of cash flow streams, and to
use the results to choose among competing projects. |
| Finance |
The Six Sigma Black Belt will
be able to compute the internal rate of return for cash flow streams and
to use the results to choose among competing projects. |
| Finance |
The Six Sigma Black Belt will
know the COPQ rationale for Six Sigma, i.e., he will be able to explain
what to do if COPQ analysis indicates that the optimum for a given
process is less than Six Sigma. |
| Finance |
The Six Sigma Black Belt will
know the basic COPQ categories and be able to allocate a list of costs
to the correct category. |
| Finance |
The Six Sigma Black Belt will
be able to use a quadratic loss function to compute the cost of a given
process. |
| Leadership |
With minimal guidance, the Six
Sigma Black Belt will be able to use data to convert broad
generalizations into actionable goals. |
| Leadership |
The Six Sigma Black Belt will
be able to make the business case for attempting to accomplish these
goals. |
| Leadership |
The Six Sigma Black Belt will
be able to develop detailed plans for achieving those goals. |
| Leadership |
The Six Sigma Black Belt should
understand and be able to communicate the rationale for continuous
improvement, even after initial goals have been accomplished. |
| Leadership |
The Six Sigma Black Belt should
be familiar with research that quantifies the benefits firms have
obtained from Six Sigma. |
| Leadership |
The Six Sigma Black Belt should
understand the roles of the various people involved in change (senior
leader, champion, mentor, change agent, technical leader, team leader,
facilitator). |
| Leadership |
Given a partly completed QFD
matrix, the Six Sigma Black Belt will be able to complete it. |
| Leadership |
The Six Sigma Black Belt should
be familiar with the basic principles of benchmarking. |
| Leadership |
The Six Sigma Black Belt should
be familiar with the limitations of benchmarking. |
| Leadership |
Given an organization chart and
a listing of team members, process owners, and sponsors, the Six Sigma
Black Belt will be able to identify projects with a low probability of
success. |
| Measurement |
Given the results of an AIAG
Gage R&R study, the Six Sigma Black Belt will be able to answer a
variety of questions about the measurement system. |
| Measurement |
The Six Sigma Black Belt will
be able to identify measurement scales of various metrics (nominal,
ordinal, etc). |
| Measurement |
Given a metric on a particular
scale, the Six Sigma Black Belt will be able to determine if a
particular statistical method should be used for analysis. |
| Measurement |
Given a properly collected set
of data, the Six Sigma Black Belt will be able to perform a complete
measurement system analysis, including the calculation of bias,
repeatability, reproducibility, stability, discrimination (resolution)
and linearity. |
| Measurement |
Given the measurement system
metrics, the Six Sigma Black Belt will know whether or not a given
measurement system should be used on a given part or process. |
| Modelling |
The Six Sigma Black Belt will
know how to use non-linearities to make products or processes more
robust. |
| Modelling |
The Six Sigma Black Belt will
be able to identify which cause on a list of possible causes will most
likely explain a non-random pattern in the regression residuals. |
| Modelling |
Given the results of a
replicated full-factorial experiment, the Six Sigma Black Belt will be
able to complete the entire ANOVA table. |
| Modelling |
Given a "clean"
experimental plan, the Six Sigma Black Belt will be able to find the
correct number of replicates to obtain a desired power. |
| Modelling |
Given a set of data, the Six
Sigma Black Belt will be able to perform a Latin Square analysis and
interpret the results. |
| Modelling |
Ditto for one way ANOVA, two
way ANOVA (with and without replicates), full and fractional factorials,
and response surface designs. |
| Modelling |
Given an appropriate
experimental result, the Six Sigma Black Belt will be able to compute
the direction of steepest ascent. |
| Modelling |
Given a set of variables each
at two levels, the Six Sigma Black Belt can determine the correct
experimental layout for a screening experiment
using a saturated design. |
| Modelling |
Given data for such an
experiment, the Six Sigma Black Belt can identify which main effects are
significant, and state the effect of these factors. |
| Modelling |
The Six Sigma Black Belt will
understand fold over designs and be able to identify the fold over
design that will clear a given alias. |
| Modelling |
The Six Sigma Black Belt will
know how to augment a factorial design to create a composite or central
composite design. |
| Modelling |
The Six Sigma Black Belt will
be able to evaluate the diagnostics for an experiment. |
| Modelling |
The Six Sigma Black Belt will
be able to identify the need for a transformation in y
and to apply the correct transformation. |
| Modelling |
Given a response surface
equation in quadratic form, the Six Sigma Black Belt will be able to
compute the stationary point. |
| Modelling |
Given data (not graphics), the
Six Sigma Black Belt will be able to determine if the stationary point
is a maximum, minimum or saddle point. |
| Modelling |
The Six Sigma Black Belt will
be able to conduct simple and multiple linear regression. |
| Modelling |
The Six Sigma Black Belt will
be able to identify patterns in residuals from an improper regression
model and to apply the correct remedy. |
| PCA |
The Six Sigma Black Belt will
know or be able to find the PPM rates associated with different sigma
levels (e.g., Six Sigma = 3.4 PPM) |
| PCA |
Given a stable set of
subgrouped data, the Six Sigma Black Belt will be able to perform a
complete Process Capability Analysis.
This includes computing and interpreting capability indices,
estimating the % failures, control limit calculations, etc. |
| Process Control |
The Six Sigma Black Belt should
understand the mechanics of PRE-Control. |
| Process Control |
The Six Sigma Black Belt will
be able to correctly apply EWMA charts to a process with serial
correlation in the data. |
| Process Control |
The Six Sigma Black Belt will
be able to apply statistical tolerancing to set tolerances for simple
assemblies. He will know
how to compare statistical tolerances to so-called "worst
case" tolerancing. |
| Process Control |
Given a set of subgrouped data,
the Six Sigma Black Belt will be able to select and prepare the correct
control charts and to determine if a given process is in a state of
statistical control. This
should be demonstrated for all the commonly used control charts. |
| Process Control |
If shown control chart
patterns, the Six Sigma Black Belt will be able to match the control
chart with the correct situation (e.g., an outlier pattern vs. a gradual
trend matched to a tool breaking vs. a machine gradually warming up). |
| Process Control |
The Six Sigma Black Belt will
know how to establish control systems for maintaining the gains achieved
through Six Sigma. |
| Project Management |
Given a list of tasks for a
project, their times to complete, and their precedence relationships,
the Six Sigma Black Belt will be able to compute the time to completion
for the project, the earliest completion times, the latest completion
times and the slack times. He
should also be able to identify which tasks are on the critical path. |
| Project Management |
Give cost and time data for
project tasks, the Six Sigma Black Belt will be able to compute the cost
of normal and crash schedules and the minimum total cost schedule. |
| Project Management |
Given a narrative description
of "as-is" and "should-be" processes, the Six Sigma
Black Belt will be able to prepare process maps. |
| Reliability |
The Six Sigma Black Belt will
be able to compute basic reliability statistics (mtbf, availability,
etc.). |
| Reliability |
Given the failure rates for
given subsystems, the Six Sigma Black Belt will be able to use
reliability apportionment to set mtbf goals. |
| Reliability |
The Six Sigma Black Belt will
be able to compute the reliability of series, parallel, and
series-parallel system configurations. |
| Reliability |
The Six Sigma Black Belt will
demonstrate the ability to read an FMEA analysis. |
| Reliability |
The Six Sigma Black Belt will
demonstrate the ability to read a fault tree. |
| Reliability |
Given distributions of strength
and stress, the Six Sigma Black Belt will be able to compute the
probability of failure. |
| Reliability |
How many samples are
required to demonstrate a specific reliability with a specific
confidence level assuming no failures. |
| Reliability |
The Six Sigma Black Belt will
know how to identify an increasing, decreasing or constant failure rate. |
| Reliability |
The Six Sigma Black Belt will
know how to compute confidence limits for reliability and percentiles
for the Weibull, lognormal and exponential distributions given a
complete data set, a single censored data set and a multiply censored
data set. |
| Reliability |
The Six Sigma Black Belt will
know how to compute non-parametric confidence limits for reliability
given a complete data set, a single censored data set and a multiply
censored data set. |
| Reliability |
The Six Sigma Black Belt will
know how to construct and interpret an FMECA. |
| Reliability |
The Six Sigma Black Belt will
know how to determine the reliability of s stress-strength system. |
| Simulation |
The Six Sigma Black Belt will
know how to use simulation to model systems given distributions for the
components. |
| Simulation |
The Six Sigma Black Belt will
be able to develop and test simulation models of complex processes |
| Sociometric analysis |
Given two or more sets of
survey data, the Six Sigma Black Belt will be able to determine if there
are statistically significant differences between them. |
| Sociometric analysis |
The Six Sigma Black Belt will
know how to quantitatively analyze data from employee and customer
surveys. This includes evaluating survey reliability and validity as
well as the differences between surveys. |
| Sociometric analysis |
The Six Sigma Black Belt will
be able to design, test, and analyze customer surveys. |
| Sociometric analysis |
The Six Sigma Black Belt will
be able to measure progress towards the goals in terms meaningful to
customers and leaders. |
| Statistical Theory |
The Six Sigma Black Belt will
know how to combine random variables mathematically. |
| Statistical Theory |
The Six Sigma Black Belt will
know the difference between computing sigma from a data set whose
production sequence is known and from a data set whose production
sequence is not known. |
| Statistical Theory |
When told the data are from an
exponential or Erlang distribution the Six Sigma Black Belt will know
that the run chart is preferred over the standard X control chart. |
| Statistical Theory |
The Six Sigma Black Belt will
know when to apply enumerative statistical methods, and when not to. |
| Statistical Theory |
The Six Sigma Black Belt will
know when to apply analytic statistical methods, and when not to. |
| Statistical Theory |
The Six Sigma Black Belt should
demonstrate a grasp of basic probability concepts, such as the
probability of mutually exclusive events, of dependent and independent
events, of events that can occur simultaneously, etc. |
| Statistical Theory |
The Six Sigma Black Belt will
know factorials, permutations and combinations, and how to use these in
commonly used probability distributions. |
| Statistical Theory |
The Six Sigma Black Belt will
be able to compute expected values for continuous and discrete random
variables. |
| Statistical Theory |
The Six Sigma Black Belt should
be familiar with the commonly used probability distributions, including:
hypergeometric, binomial, Poisson, normal, exponential, chi-square,
Student's t, and F. |
| Statistical Theory |
Given a set of data the Six
Sigma Black Belt will be able to correctly identify which distribution
should be used to perform a given analysis, and to use the distribution
to perform the analysis. |
| Statistical Theory |
The Six Sigma Black Belt will
know that different techniques are required for analysis depending on
whether a given measure (e.g., the mean) is assumed known or estimated
from a sample. The Six Sigma Black Belt should choose and properly use the
correct technique when provided with data and sufficient information
about the data. |
| Statistical Theory |
The Six Sigma Black Belt should
understand the assumptions that underlie ANOVA, and be able to select
and apply a transformation to the data. |
| Statistical Theory |
The Six Sigma Black Belt should
demonstrate an awareness of the assumptions that underlie the use of
capability indices. |
| Statistical Theory |
The Six Sigma Black Belt should
understand the basic principles of planning a statistically designed
experiment. This can be
demonstrated by critiquing various experimental plans with or without
shortcomings. |
| Statistical Theory |
The Six Sigma Black Belt will
know the difference between the various types of experimental models
(fixed-effects, random-effects, mixed). |
| Statistical Theory |
The Six Sigma Black Belt should
understand the concepts of randomization and blocking. |
| Statistical Theory |
The Six Sigma Black Belt will
understand the idea of confounding and be able to identify which two
factor interactions are confounded with the significant main effects. |
| Statistical Theory |
The Six Sigma Black Belt will
understand the difference between regression and correlation studies. |
| Statistical Theory |
The Six Sigma Black Belt will
be aware of the limits of the Six Sigma approach. |
