ASTM E456-13a(2022)
(Terminology)Standard Terminology Relating to Quality and Statistics
Standard Terminology Relating to Quality and Statistics
ABSTRACT
This standard is the general terminology standard for terms defined in the standards of Committee E11 on Quality and Statistics. A term in this standard which lists an attribution to an E11 technical standard indicates that the standard is normative for that term. Term definitions that are similar to ISO 3534 will be noted in this standard, but ISO 3534 will not be considered normative for any E11 terms.
SCOPE
1.1 This standard is the general terminology standard for terms defined in the standards of Committee E11 on Quality and Statistics.
1.2 A term in this standard which lists an attribution to an E11 technical standard indicates that the standard is normative for that term. Any changes in the term definition in the normative standard will be editorially changed in this standard. Any terms added to an E11 standard will be editorially added to this standard with an attribution to that standard.
1.3 Term definitions that are similar to ISO 3534 will be noted in this standard, but ISO 3534 will not be considered normative for any E11 terms.
1.4 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
General Information
Relations
Buy Standard
Standards Content (Sample)
This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: E456 − 13a (Reapproved 2022) An American National Standard
Standard Terminology
Relating to Quality and Statistics
This standard is issued under the fixed designation E456; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope E178Practice for Dealing With Outlying Observations
E691Practice for Conducting an Interlaboratory Study to
1.1 This standard is the general terminology standard for
Determine the Precision of a Test Method
terms defined in the standards of Committee E11 on Quality
E1169Practice for Conducting Ruggedness Tests
and Statistics.
E1325Terminology Relating to Design of Experiments
1.2 A term in this standard which lists an attribution to an
E1402Guide for Sampling Design
E11 technical standard indicates that the standard is normative
E1488GuideforStatisticalProcedurestoUseinDeveloping
for that term. Any changes in the term definition in the
and Applying Test Methods
normativestandardwillbeeditoriallychangedinthisstandard.
E1994Practice for Use of Process Oriented AOQL and
Any terms added to an E11 standard will be editorially added
LTPD Sampling Plans
to this standard with an attribution to that standard.
E2234Practice for Sampling a Stream of Product by Attri-
1.3 Term definitions that are similar to ISO3534 will be
butes Indexed by AQL
noted in this standard, but ISO3534 will not be considered
E2281Practice for Process Capability and Performance
normative for any E11 terms.
Measurement
1.4 This international standard was developed in accor-
E2282Guide for Defining the Test Result of a Test Method
dance with internationally recognized principles on standard-
E2334PracticeforSettinganUpperConfidenceBoundfora
ization established in the Decision on Principles for the
Fraction or Number of Non-Conforming items, or a Rate
Development of International Standards, Guides and Recom-
of Occurrence for Non-Conformities, Using Attribute
mendations issued by the World Trade Organization Technical
Data, When There is a Zero Response in the Sample
Barriers to Trade (TBT) Committee.
E2489Practice for Statistical Analysis of One-Sample and
Two-SampleInterlaboratoryProficiencyTestingPrograms
2. Referenced Documents
E2554Practice for Estimating and Monitoring the Uncer-
2.1 ASTM E11 Standards with Terms in This Standard:
tainty of Test Results of a Test Method Using Control
E29Practice for Using Significant Digits in Test Data to
Chart Techniques
Determine Conformance with Specifications
E2555Practice for Factors and Procedures forApplying the
E105Guide for Probability Sampling of Materials
MIL-STD-105 Plans in Life and Reliability Inspection
E122PracticeforCalculatingSampleSizetoEstimate,With
E2586Practice for Calculating and Using Basic Statistics
Specified Precision, the Average for a Characteristic of a
E2587Practice for Use of Control Charts in Statistical
Lot or Process
Process Control
E141Practice for Acceptance of Evidence Based on the
E2655Guide for Reporting Uncertainty of Test Results and
Results of Probability Sampling
Use of the Term Measurement Uncertainty inASTM Test
E177Practice for Use of the Terms Precision and Bias in
Methods
ASTM Test Methods
E2696Practice for Life and ReliabilityTesting Based on the
Exponential Distribution
E2709Practice for Demonstrating Capability to Comply
ThisterminologyisunderthejurisdictionofASTMCommitteeE11onQuality
and Statistics and is the direct responsibility of Subcommittee E11.70 on Editorial/
with an Acceptance Procedure
Terminology.
E2762Practice for Sampling a Stream of Product by Vari-
Current edition approved April 1, 2022. Published April 2022. Originally
ɛ6
ables Indexed by AQL
approved in 1972. Last previous edition approved in 2017 as E456–13a(2017) .
DOI: 10.1520/E0456-13AR22.
E2782Guide for Measurement Systems Analysis (MSA)
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
E2819Practice for Single- and Multi-Level Continuous
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
SamplingofaStreamofProductbyAttributesIndexedby
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. AQL
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
E456 − 13a (2022)
E2935Practice for Evaluating Equivalence of Two Testing absence) of some characteristic or attribute in each of the
Processes units in the group under consideration, and counting how
E3080Practice for Regression Analysis with a Single Pre- many units do (or do not) possess the quality attribute, or
dictor Variable how many such events occur in the unit, group, or area.
E3159Guide for General Reliability E2334
E3264Guide for Homogeneity of Samples and Reference
audit subsample, n—a small subsample of a sample selected
Materials Used for Inter- and Intra-Laboratory Studies
for review of all sample selection and data collection
2.2 ISO Standards:
procedures. E141
ISO3534Statistics—Vocabulary and Symbols
Part2Applied Statistics
average outgoing quality (AOQ), n—the average percent
defective of outgoing product including all accepted lots or
3. Terminology
batches, after any defective units found in them are replaced
by acceptable units, plus all lots or batches which are not
acceptance quality limit (AQL), n—quality limit that is the
worst tolerable process average when a continuing series of accepted after such lots or batches have been effectively
100% inspected and all defective units replaced by accept-
lots is submitted for acceptance sampling. E2234
able units. E1994
accepted reference value, n—a value that serves as an
agreed-upon reference for comparison, and which is derived
average outgoing quality limit (AOQL), n—themaximumof
as: (1) a theoretical or established value, based on scientific
theAOQsforallpossibleincomingpercentagesdefectivefor
principles, (2) an assigned or certified value, based on
the process, for a given acceptance sampling plan. E1994
experimental work of some national or international
average quality protection, n—a type of protection in which
organization, or (3) a consensus or certified value, based on
there is prescribed some chosen value of average percent
collaborative experimental work under the auspices of a
defective in the product after inspection (average outgoing
scientific or engineering group. E177
quality limit (AOQL), that shall not be exceeded in the long
accuracy, n—the closeness of agreement between a test result
run no matter what may be the level of percent defective in
and an accepted reference value. E177
the product submitted to the inspector. E1994
aliases, n—in a fractional factorial design,twoormoreeffects
average run length (ARL), n—the average number of times
which are estimated by the same contrast and which,
that a process will have been sampled and evaluated before
therefore, cannot be estimated separately. E1325
a shift in process level is signaled. E2587
alternative hypothesis, H , n—a probability distribution or
a
B life, n—for continuous variables, the life at which there is
p
type of probability distribution distinguished from the null
a probability (expressed as a percentage) of failure at or less
hypothesis. E2586
than this value. E3159
analysis of variance (ANOVA), n—statistical models and
balanced incomplete block design (BIB), n—an incomplete
associated procedures, in which the observed variance is
block design in which each block contains the same number
partitioned into components due to different explanatory
k of different versions from the t versions of a single
variables. E1325
principal factor arranged so that every pair of versions
analysis of variance table, n—a tabular summary of results
occurs together in the same number, λ, of blocks from the b
from a regression model or an experimental design for the
blocks. E1325
purpose of evaluating effects of factors. E1325
bias, n—the difference between the expectation of the test
area sampling, n—probabilitysamplinginwhichamap,rather
results and an accepted reference value. E177
than a tabulation of sampling units, serves as the sampling
frame. E1402 binary scale, n—nominal scale with only two possible
categories. E2282
assignable cause, n—factor that contributes to variation in a
process or product output that is feasible to detect and
block factor, n—a factor that indexes division of experimental
identify (see special cause). E2587
units into disjoint subsets. E1325
attributes data, n—observedvaluesortestresultsthatindicate
bulk sampling, n—sampling to prepare a portion of a mass of
the presence or absence of specific characteristics or counts
material that is representative of the whole. E1402
of occurrences of events in time or space. E2587
c chart, n—control chart that monitors the count of occur-
attributes, method of, n—measurement of quality by the
rences of an event in a defined increment of time or space.
method of attributes consists of noting the presence (or
E2587
calibration, n—process of establishing a relationship between
Available from International Organization for Standardization (ISO), ISO
a measurement device and a known standard value(s).
Central Secretariat, BIBC II, Chemin de Blandonnet 8, CP 401, 1214 Vernier,
Geneva, Switzerland, http://www.iso.org. E2782
E456 − 13a (2022)
center line, n—line on a control chart depicting the average confounded factorial design, n—a factorial experiment in
level of the statistic being monitored. E2587 which only a fraction of the treatment combinations are run
in each block and where the selection of the treatment
chance cause, n—source of inherent random variation in a
combinations assigned to each block is arranged so that one
process which is predictable within statistical limits (see
ormoreprescribedeffectsis(are)confoundedwiththeblock
common cause). E2587
effect(s), while the other effects remain free from
confounding. E1325
characteristic, n—a property of items in a sample or popula-
tion which, when measured, counted or otherwise observed,
confounding, n—combining indistinguishably the main effect
helps to distinguish among the items. E2282
of a factor or a differential effect between factors (interac-
tions) with the effect of other factor(s), block factor(s) or
check sample, n—see control sample. E2554
interactions(s). E1325
classification of defects, n—the enumeration of possible de-
consumer’s risk, n—probability that a lot having specified
fects of the unit of product arranged according to their
rejectable quality level will be accepted under a defined
seriousness, that is, critical, major, or minor defect. E2234
sampling plan. E2555
cluster sampling, n—sampling in which the sampling unit
continuous sampling inspection, n—a method of sampling a
consistsofagroupofsubunits,allofwhicharemeasuredfor
streamofproductinorderofproductionwherethesampling
sampled clusters. E1402
frequency is adjusted based on ongoing inspection results.
E2819
coefficient of variation (CV), n—for a nonnegative
characteristic,theratioofthestandarddeviationtothemean
contrast, n—alinearfunctionoftheobservationsforwhichthe
for a population or sample. E2586
sum of the coefficients is zero. E1325
collaborative study, n—interlaboratory study in which each contrast analysis, n—a technique for estimating the param-
eters of a model and making hypothesis tests on preselected
laboratory uses the defined method of analysis to analyze
identical portions of homogeneous materials to assess the linear combinations of the treatments (contrasts). E1325
performance characteristics obtained for that method of
control chart, n—chart on which are plotted a statistical
analysis. E2489
measure of a subgroup versus time of sampling along with
limits based on the statistical distribution of that measure so
collaborative trial, n—see collaborative study. E2489
astoindicatehowmuchcommon,orchance,causevariation
common cause, n—see chance cause. E2587
is inherent in the process or product. E2587
completely randomized design, n—a design in which the
control chart factor, n—a tabulated constant, depending on
treatments are assigned at random to the full set of experi-
samplesize,usedtoconvertspecifiedstatisticsorparameters
mental units. E1325
into a central line value or control limit appropriate to the
control chart. E2587
completely randomized factorial design, n—a factorial ex-
periment (including all replications) run in a completely control limits, n—limits on a control chart that are used as
randomized design. E1325 criteria for signaling the need for action or judging whether
a set of data does or does not indicate a state of statistical
component of variance, n—apartofatotalvarianceidentified
control based on a prescribed degree of risk. E2587
with a specified source of variability. E1488
control sample, n—sample taken from a stable, homogeneous
composite design, n—a design developed specifically for
material for the purposes of monitoring the performance of
fitting second order response surfaces to study curvature,
a test method in a laboratory. E2554
constructed by adding further selected treatments to those
n critical defect, n—a defect that judgment and experience
obtained from a 2 factorial (or its fraction). E1325
indicate would result in hazardous or unsafe conditions for
confidence bound, n—see confidence limit. E2586
individuals using, maintaining, or depending upon the
product, or a defect that judgment and experience indicate is
confidence coefficient, n—see confidence level. E2586
likely to prevent performance of the function of a major end
item. E2234
confidence interval, n—an interval estimate [L, U] with the
statistics L and U as limits for the parameter θ and with
critical value, n—in hypothesis testing,theboundary(number)
confidence level 1-α, where Pr(L≤θ≤U)≥1-α. E2586
of the rejection region for a test statistic in a hypothesis test.
E2586
confidence level, n—the value, 1-α, of the probability associ-
ated with a confidence interval, often expressed as a
defect, n—any nonconformance of the unit of product with
percentage. E2586
specified requirements. E2234
confidence limit, n—each of the limits, L and U, of a degrees of freedom, df, n—the number of independent data
confidence interval, or the limit of a one-sided confidence points minus the numbe
...
NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: E456 − 13a (Reapproved 2022) An American National Standard
Standard Terminology
Relating to Quality and Statistics
This standard is issued under the fixed designation E456; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope E178 Practice for Dealing With Outlying Observations
E691 Practice for Conducting an Interlaboratory Study to
1.1 This standard is the general terminology standard for
Determine the Precision of a Test Method
terms defined in the standards of Committee E11 on Quality
E1169 Practice for Conducting Ruggedness Tests
and Statistics.
E1325 Terminology Relating to Design of Experiments
1.2 A term in this standard which lists an attribution to an
E1402 Guide for Sampling Design
E11 technical standard indicates that the standard is normative
E1488 Guide for Statistical Procedures to Use in Developing
for that term. Any changes in the term definition in the
and Applying Test Methods
normative standard will be editorially changed in this standard.
E1994 Practice for Use of Process Oriented AOQL and
Any terms added to an E11 standard will be editorially added
LTPD Sampling Plans
to this standard with an attribution to that standard.
E2234 Practice for Sampling a Stream of Product by Attri-
1.3 Term definitions that are similar to ISO 3534 will be
butes Indexed by AQL
noted in this standard, but ISO 3534 will not be considered
E2281 Practice for Process Capability and Performance
normative for any E11 terms.
Measurement
1.4 This international standard was developed in accor-
E2282 Guide for Defining the Test Result of a Test Method
dance with internationally recognized principles on standard-
E2334 Practice for Setting an Upper Confidence Bound for a
ization established in the Decision on Principles for the
Fraction or Number of Non-Conforming items, or a Rate
Development of International Standards, Guides and Recom-
of Occurrence for Non-Conformities, Using Attribute
mendations issued by the World Trade Organization Technical
Data, When There is a Zero Response in the Sample
Barriers to Trade (TBT) Committee.
E2489 Practice for Statistical Analysis of One-Sample and
Two-Sample Interlaboratory Proficiency Testing Programs
2. Referenced Documents
E2554 Practice for Estimating and Monitoring the Uncer-
2.1 ASTM E11 Standards with Terms in This Standard:
tainty of Test Results of a Test Method Using Control
E29 Practice for Using Significant Digits in Test Data to
Chart Techniques
Determine Conformance with Specifications
E2555 Practice for Factors and Procedures for Applying the
E105 Guide for Probability Sampling of Materials
MIL-STD-105 Plans in Life and Reliability Inspection
E122 Practice for Calculating Sample Size to Estimate, With
E2586 Practice for Calculating and Using Basic Statistics
Specified Precision, the Average for a Characteristic of a
E2587 Practice for Use of Control Charts in Statistical
Lot or Process
Process Control
E141 Practice for Acceptance of Evidence Based on the
E2655 Guide for Reporting Uncertainty of Test Results and
Results of Probability Sampling
Use of the Term Measurement Uncertainty in ASTM Test
E177 Practice for Use of the Terms Precision and Bias in
Methods
ASTM Test Methods
E2696 Practice for Life and Reliability Testing Based on the
Exponential Distribution
E2709 Practice for Demonstrating Capability to Comply
This terminology is under the jurisdiction of ASTM Committee E11 on Quality
and Statistics and is the direct responsibility of Subcommittee E11.70 on Editorial/
with an Acceptance Procedure
Terminology.
E2762 Practice for Sampling a Stream of Product by Vari-
Current edition approved April 1, 2022. Published April 2022. Originally
ɛ6
ables Indexed by AQL
approved in 1972. Last previous edition approved in 2017 as E456 – 13a (2017) .
DOI: 10.1520/E0456-13AR22. E2782 Guide for Measurement Systems Analysis (MSA)
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
E2819 Practice for Single- and Multi-Level Continuous
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Sampling of a Stream of Product by Attributes Indexed by
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. AQL
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
E456 − 13a (2022)
E2935 Practice for Evaluating Equivalence of Two Testing absence) of some characteristic or attribute in each of the
Processes units in the group under consideration, and counting how
E3080 Practice for Regression Analysis with a Single Pre- many units do (or do not) possess the quality attribute, or
dictor Variable how many such events occur in the unit, group, or area.
E3159 Guide for General Reliability E2334
E3264 Guide for Homogeneity of Samples and Reference
audit subsample, n—a small subsample of a sample selected
Materials Used for Inter- and Intra-Laboratory Studies
for review of all sample selection and data collection
2.2 ISO Standards:
procedures. E141
ISO 3534 Statistics—Vocabulary and Symbols
Part 2 Applied Statistics
average outgoing quality (AOQ), n—the average percent
defective of outgoing product including all accepted lots or
3. Terminology
batches, after any defective units found in them are replaced
acceptance quality limit (AQL), n—quality limit that is the by acceptable units, plus all lots or batches which are not
accepted after such lots or batches have been effectively
worst tolerable process average when a continuing series of
lots is submitted for acceptance sampling. E2234 100 % inspected and all defective units replaced by accept-
able units. E1994
accepted reference value, n—a value that serves as an
agreed-upon reference for comparison, and which is derived
average outgoing quality limit (AOQL), n—the maximum of
as: (1) a theoretical or established value, based on scientific
the AOQs for all possible incoming percentages defective for
principles, (2) an assigned or certified value, based on
the process, for a given acceptance sampling plan. E1994
experimental work of some national or international
average quality protection, n—a type of protection in which
organization, or (3) a consensus or certified value, based on
there is prescribed some chosen value of average percent
collaborative experimental work under the auspices of a
defective in the product after inspection (average outgoing
scientific or engineering group. E177
quality limit (AOQL), that shall not be exceeded in the long
accuracy, n—the closeness of agreement between a test result
run no matter what may be the level of percent defective in
and an accepted reference value. E177
the product submitted to the inspector. E1994
aliases, n—in a fractional factorial design, two or more effects
average run length (ARL), n—the average number of times
which are estimated by the same contrast and which,
that a process will have been sampled and evaluated before
therefore, cannot be estimated separately. E1325
a shift in process level is signaled. E2587
alternative hypothesis, H , n—a probability distribution or
a
B life, n—for continuous variables, the life at which there is
p
type of probability distribution distinguished from the null
a probability (expressed as a percentage) of failure at or less
hypothesis. E2586
than this value. E3159
analysis of variance (ANOVA), n—statistical models and
balanced incomplete block design (BIB), n—an incomplete
associated procedures, in which the observed variance is
block design in which each block contains the same number
partitioned into components due to different explanatory
k of different versions from the t versions of a single
variables. E1325
principal factor arranged so that every pair of versions
analysis of variance table, n—a tabular summary of results
occurs together in the same number, λ, of blocks from the b
from a regression model or an experimental design for the
blocks. E1325
purpose of evaluating effects of factors. E1325
bias, n—the difference between the expectation of the test
area sampling, n—probability sampling in which a map, rather
results and an accepted reference value. E177
than a tabulation of sampling units, serves as the sampling
frame. E1402
binary scale, n—nominal scale with only two possible
categories. E2282
assignable cause, n—factor that contributes to variation in a
process or product output that is feasible to detect and
block factor, n—a factor that indexes division of experimental
identify (see special cause). E2587
units into disjoint subsets. E1325
attributes data, n—observed values or test results that indicate
bulk sampling, n—sampling to prepare a portion of a mass of
the presence or absence of specific characteristics or counts
material that is representative of the whole. E1402
of occurrences of events in time or space. E2587
c chart, n—control chart that monitors the count of occur-
attributes, method of, n—measurement of quality by the
rences of an event in a defined increment of time or space.
method of attributes consists of noting the presence (or
E2587
calibration, n—process of establishing a relationship between
Available from International Organization for Standardization (ISO), ISO
a measurement device and a known standard value(s).
Central Secretariat, BIBC II, Chemin de Blandonnet 8, CP 401, 1214 Vernier,
Geneva, Switzerland, http://www.iso.org. E2782
E456 − 13a (2022)
center line, n—line on a control chart depicting the average confounded factorial design, n—a factorial experiment in
level of the statistic being monitored. E2587 which only a fraction of the treatment combinations are run
in each block and where the selection of the treatment
chance cause, n—source of inherent random variation in a
combinations assigned to each block is arranged so that one
process which is predictable within statistical limits (see
or more prescribed effects is (are) confounded with the block
common cause). E2587
effect(s), while the other effects remain free from
confounding. E1325
characteristic, n—a property of items in a sample or popula-
tion which, when measured, counted or otherwise observed,
confounding, n—combining indistinguishably the main effect
helps to distinguish among the items. E2282
of a factor or a differential effect between factors (interac-
tions) with the effect of other factor(s), block factor(s) or
check sample, n—see control sample. E2554
interactions(s). E1325
classification of defects, n—the enumeration of possible de-
consumer’s risk, n—probability that a lot having specified
fects of the unit of product arranged according to their
rejectable quality level will be accepted under a defined
seriousness, that is, critical, major, or minor defect. E2234
sampling plan. E2555
cluster sampling, n—sampling in which the sampling unit
continuous sampling inspection, n—a method of sampling a
consists of a group of subunits, all of which are measured for
stream of product in order of production where the sampling
sampled clusters. E1402
frequency is adjusted based on ongoing inspection results.
E2819
coefficient of variation (CV), n—for a nonnegative
characteristic, the ratio of the standard deviation to the mean
contrast, n—a linear function of the observations for which the
for a population or sample. E2586
sum of the coefficients is zero. E1325
contrast analysis, n—a technique for estimating the param-
collaborative study, n—interlaboratory study in which each
laboratory uses the defined method of analysis to analyze eters of a model and making hypothesis tests on preselected
linear combinations of the treatments (contrasts). E1325
identical portions of homogeneous materials to assess the
performance characteristics obtained for that method of
control chart, n—chart on which are plotted a statistical
analysis. E2489
measure of a subgroup versus time of sampling along with
limits based on the statistical distribution of that measure so
collaborative trial, n—see collaborative study. E2489
as to indicate how much common, or chance, cause variation
common cause, n—see chance cause. E2587
is inherent in the process or product. E2587
completely randomized design, n—a design in which the
control chart factor, n—a tabulated constant, depending on
treatments are assigned at random to the full set of experi-
sample size, used to convert specified statistics or parameters
mental units. E1325
into a central line value or control limit appropriate to the
control chart. E2587
completely randomized factorial design, n—a factorial ex-
periment (including all replications) run in a completely control limits, n—limits on a control chart that are used as
randomized design. E1325 criteria for signaling the need for action or judging whether
a set of data does or does not indicate a state of statistical
component of variance, n—a part of a total variance identified
control based on a prescribed degree of risk. E2587
with a specified source of variability. E1488
control sample, n—sample taken from a stable, homogeneous
composite design, n—a design developed specifically for
material for the purposes of monitoring the performance of
fitting second order response surfaces to study curvature,
a test method in a laboratory. E2554
constructed by adding further selected treatments to those
n critical defect, n—a defect that judgment and experience
obtained from a 2 factorial (or its fraction). E1325
indicate would result in hazardous or unsafe conditions for
confidence bound, n—see confidence limit. E2586
individuals using, maintaining, or depending upon the
product, or a defect that judgment and experience indicate is
confidence coefficient, n—see confidence level. E2586
likely to prevent performance of the function of a major end
confidence interval, n—an interval estimate [L, U] with the item. E2234
statistics L and U as limits for the parameter θ and with
critical value, n—in hypothesis testing, the boundary (number)
confidence level 1-α, where Pr(L ≤ θ ≤ U) ≥ 1-α. E2586
of the rejection region for a test statistic in a hypothesis test.
E2586
confidence level, n—the value, 1-α, of the probability associ-
ated with a confidence interval, often expressed as a
defect, n—any nonconformance of the unit of product with
percentage. E2586
specified requirements. E2234
confidence limit, n—each of the limits, L and U, of a degrees of freedom, df, n—the number of independent da
...
This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
´6
Designation: E456 − 13a (Reapproved 2017) E456 − 13a (Reapproved 2022)An American National Standard
Standard Terminology
Relating to Quality and Statistics
This standard is issued under the fixed designation E456; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the U.S. Department of Defense.
ε NOTE—Reapproved with new terms added and other terms corrected editorially in October 2017.
ε NOTE—New terms were added and other terms were corrected editorially in April 2018.
ε NOTE—New terms were added and other terms were corrected editorially in March 2019.
ε NOTE—New terms were added and other terms were corrected editorially in April 2020.
ε NOTE—Terms were corrected editorially in May 2021.
ε NOTE—New terms were added and other terms were corrected editorially in January 2022.
1. Scope
1.1 This standard is the general terminology standard for terms defined in the standards of Committee E11 on Quality and
Statistics.
1.2 A term in this standard which lists an attribution to an E11 technical standard indicates that the standard is normative for that
term. Any changes in the term definition in the normative standard will be editorially changed in this standard. Any terms added
to an E11 standard will be editorially added to this standard with an attribution to that standard.
1.3 Term definitions that are similar to ISO 3534 will be noted in this standard, but ISO 3534 will not be considered normative
for any E11 terms.
1.4 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
2. Referenced Documents
2.1 ASTM E11 Standards with Terms in This Standard:
E29 Practice for Using Significant Digits in Test Data to Determine Conformance with Specifications
E105 Guide for Probability Sampling of Materials
E122 Practice for Calculating Sample Size to Estimate, With Specified Precision, the Average for a Characteristic of a Lot or
Process
E141 Practice for Acceptance of Evidence Based on the Results of Probability Sampling
E177 Practice for Use of the Terms Precision and Bias in ASTM Test Methods
E178 Practice for Dealing With Outlying Observations
E691 Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method
E1169 Practice for Conducting Ruggedness Tests
This terminology is under the jurisdiction of ASTM Committee E11 on Quality and Statistics and is the direct responsibility of Subcommittee E11.70 on
Editorial/Terminology.
Current edition approved Oct. 1, 2017April 1, 2022. Published October 2017April 2022. Originally approved in 1972. Last previous edition approved in 20132017 as
ɛ4ɛ6
E456 – 13a (2017) . DOI: 10.1520/E0456-13AR17E06.10.1520/E0456-13AR22.
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
E456 − 13a (2022)
E1325 Terminology Relating to Design of Experiments
E1402 Guide for Sampling Design
E1488 Guide for Statistical Procedures to Use in Developing and Applying Test Methods
E1994 Practice for Use of Process Oriented AOQL and LTPD Sampling Plans
E2234 Practice for Sampling a Stream of Product by Attributes Indexed by AQL
E2281 Practice for Process Capability and Performance Measurement
E2282 Guide for Defining the Test Result of a Test Method
E2334 Practice for Setting an Upper Confidence Bound for a Fraction or Number of Non-Conforming items, or a Rate of
Occurrence for Non-Conformities, Using Attribute Data, When There is a Zero Response in the Sample
E2489 Practice for Statistical Analysis of One-Sample and Two-Sample Interlaboratory Proficiency Testing Programs
E2554 Practice for Estimating and Monitoring the Uncertainty of Test Results of a Test Method Using Control Chart Techniques
E2555 Practice for Factors and Procedures for Applying the MIL-STD-105 Plans in Life and Reliability Inspection
E2586 Practice for Calculating and Using Basic Statistics
E2587 Practice for Use of Control Charts in Statistical Process Control
E2655 Guide for Reporting Uncertainty of Test Results and Use of the Term Measurement Uncertainty in ASTM Test Methods
E2696 Practice for Life and Reliability Testing Based on the Exponential Distribution
E2709 Practice for Demonstrating Capability to Comply with an Acceptance Procedure
E2762 Practice for Sampling a Stream of Product by Variables Indexed by AQL
E2782 Guide for Measurement Systems Analysis (MSA)
E2819 Practice for Single- and Multi-Level Continuous Sampling of a Stream of Product by Attributes Indexed by AQL
E2935 Practice for Evaluating Equivalence of Two Testing Processes
E3080 Practice for Regression Analysis with a Single Predictor Variable
E3159 Guide for General Reliability
E3264 Guide for Homogeneity of Samples and Reference Materials Used for Inter- and Intra-Laboratory Studies
2.2 ISO Standards:
ISO 3534 Statistics—Vocabulary and Symbols
Part 2 Applied Statistics
3. Terminology
acceptance quality limit (AQL), n—quality limit that is the worst tolerable process average when a continuing series of lots
is submitted for acceptance sampling. E2234
accepted reference value, n—a value that serves as an agreed-upon reference for comparison, and which is derived as: (1) a
theoretical or established value, based on scientific principles, (2) an assigned or certified value, based on experimental work
of some national or international organization, or (3) a consensus or certified value, based on collaborative experimental work
under the auspices of a scientific or engineering group. E177
accuracy, n—the closeness of agreement between a test result and an accepted reference value. E177
aliases, n—in a fractional factorial design, two or more effects which are estimated by the same contrast and which, therefore,
cannot be estimated separately. E1325
alternative hypothesis, H , n—a probability distribution or type of probability distribution distinguished from the null
a
hypothesis. E2586
analysis of variance (ANOVA), n—statistical models and associated procedures, in which the observed variance is partitioned
into components due to different explanatory variables. E1325
analysis of variance table, n—a tabular summary of results from a regression model or an experimental design for the purpose
of evaluating effects of factors. E1325
Available from International Organization for Standardization (ISO), ISO Central Secretariat, BIBC II, Chemin de Blandonnet 8, CP 401, 1214 Vernier, Geneva,
Switzerland, http://www.iso.org.
E456 − 13a (2022)
area sampling, n—probability sampling in which a map, rather than a tabulation of sampling units, serves as the sampling
frame. E1402
assignable cause, n—factor that contributes to variation in a process or product output that is feasible to detect and identify (see
special cause). E2587
attributes data, n—observed values or test results that indicate the presence or absence of specific characteristics or counts of
occurrences of events in time or space. E2587
attributes, method of, n—measurement of quality by the method of attributes consists of noting the presence (or absence) of
some characteristic or attribute in each of the units in the group under consideration, and counting how many units do (or do
not) possess the quality attribute, or how many such events occur in the unit, group, or area. E2334
audit subsample, n—a small subsample of a sample selected for review of all sample selection and data collection procedures.
E141
average outgoing quality (AOQ), n—the average percent defective of outgoing product including all accepted lots or batches,
after any defective units found in them are replaced by acceptable units, plus all lots or batches which are not accepted after such
lots or batches have been effectively 100 % inspected and all defective units replaced by acceptable units. E1994
average outgoing quality limit (AOQL), n—the maximum of the AOQs for all possible incoming percentages defective for the
process, for a given acceptance sampling plan. E1994
average quality protection, n—a type of protection in which there is prescribed some chosen value of average percent defective
in the product after inspection (average outgoing quality limit (AOQL), that shall not be exceeded in the long run no matter what
may be the level of percent defective in the product submitted to the inspector. E1994
average run length (ARL), n—the average number of times that a process will have been sampled and evaluated before a shift
in process level is signaled. E2587
B life, n—for continuous variables, the life at which there is a probability (expressed as a percentage) of failure at or less than
p
this value. E3159
balanced incomplete block design (BIB), n—an incomplete block design in which each block contains the same number k of
different versions from the t versions of a single principal factor arranged so that every pair of versions occurs together in the
same number, λ, of blocks from the b blocks. E1325
bias, n—the difference between the expectation of the test results and an accepted reference value. E177
binary scale, n—nominal scale with only two possible categories. E2282
block factor, n—a factor that indexes division of experimental units into disjoint subsets. E1325
bulk sampling, n—sampling to prepare a portion of a mass of material that is representative of the whole. E1402
c chart, n—control chart that monitors the count of occurrences of an event in a defined increment of time or space. E2587
calibration, n—process of establishing a relationship between a measurement device and a known standard value(s). E2782
E456 − 13a (2022)
center line, n—line on a control chart depicting the average level of the statistic being monitored. E2587
chance cause, n—source of inherent random variation in a process which is predictable within statistical limits (see common
cause). E2587
characteristic, n—a property of items in a sample or population which, when measured, counted or otherwise observed, helps
to distinguish among the items. E2282
check sample, n—see control sample. E2554
classification of defects, n—the enumeration of possible defects of the unit of product arranged according to their seriousness,
that is, critical, major, or minor defect. E2234
cluster sampling, n—sampling in which the sampling unit consists of a group of subunits, all of which are measured for sampled
clusters. E1402
coefficient of variation (CV), n—for a nonnegative characteristic, the ratio of the standard deviation to the mean for a
population or sample. E2586
collaborative study, n—interlaboratory study in which each laboratory uses the defined method of analysis to analyze identical
portions of homogeneous materials to assess the performance characteristics obtained for that method of analysis. E2489
collaborative trial, n—see collaborative study. E2489
common cause, n—see chance cause. E2587
completely randomized design, n—a design in which the treatments are assigned at random to the full set of experimental units.
E1325
completely randomized factorial design, n—a factorial experiment (including all replications) run in a completely randomized
design. E1325
component of variance, n—a part of a total variance identified with a specified source of variability. E1488
composite design, n—a design developed specifically for fitting second order response surfaces to study curvature, constructed
n
by adding further selected treatments to those obtained from a 2 factorial (or its fraction). E1325
confidence bound, n—see confidence limit. E2586
confidence coefficient, n—see confidence level. E2586
confidence interval, n—an interval estimate [L, U] with the statistics L and U as limits for the parameter θ and with confidence
level 1-α, where Pr(L ≤ θ ≤ U) ≥ 1-α. E2586
confidence level, n—the value, 1-α, of the probability associated with a confidence interval, often expressed as a percentage.
E2586
E456 − 13a (2022)
confidence limit, n—each of the limits, L and U, of a confidence interval, or the limit of a one-sided confidence interval. E2586
confounded factorial design, n—a factorial experiment in which only a fraction of the treatment combinations are run in each
block and where the selection of the treatment combinations assigned to each block is arranged so that one or more prescribed
effects is (are) confounded with the block effect(s), while the other effects remain free from confounding. E1325
confounding, n—combining indistinguishably the main effect of a factor or a differential effect between factors (interactions)
with the effect of other factor(s), block factor(s) or interactions(s). E1325
consumer’s risk, n—probability that a lot having specified rejectable quality level will be accepted under a defined sampling
plan. E2555
continuous sampling inspection, n—a method of sampling a stream of product in order of production where the sampling
frequency is adjusted based on ongoing inspection results. E2819
contrast, n—a linear function of the observations for which the sum of the coefficients is zero. E1325
contrast analysis, n—a technique for estimating the parameters of a model and making hypothesis tests on preselected linear
combinations of the treatments (contrasts). E1325
control chart, n—chart on which are plotted a statistical measure of a subgroup versus time of sampling along with limits based
on the statistical distribution of that measure so as to indicate how much common, or chance, cause variation is inherent in the
process or product. E2587
control chart factor, n—a tabulated constant, depending on sample size, used to convert specified statistics or parameters into
a central line value
...
Questions, Comments and Discussion
Ask us and Technical Secretary will try to provide an answer. You can facilitate discussion about the standard in here.