ASTM E1970-06

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Designation:E1970–06
Standard Practice for
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Statistical Treatment of Thermoanalytical Data
This standard is issued under the fixed designation E1970; 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.
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1. Scope 3.2 Symbols:
1.1 This practice details the statistical data treatment used in
some thermal analysis methods.
m = slope
1.2 The method describes the commonly encountered sta-
b = intercept
tistical tools of the mean, standard derivation, relative standard
n = number of data sets (that is, x,y)
i i
deviation, pooled standard deviation, pooled relative standard
x = an individual independent variable observation
i
deviation and the best fit to a straight line, all calculations
y = an individual dependent variable observation
i
encountered in thermal analysis methods.
S = mathematical operation which means “the sum
1.3 Some thermal analysis methods derive the analytical of all” for the term(s) following the operator
value from the slope or intercept of a best fit straight line X = mean value
s = standard deviation
assigned to three or more sets of data pairs. Such methods may
s = pooled standard deviation
require an estimation of the precision in the determined slope
pooled
s = standard deviation of the line intercept
b
or intercept. The determination of this precision is not a
s = standard deviation of the slope of a line
m
common statistical tool. This practice details the process for
s = standard deviation of Y values
y
obtaining such information about precision.
RSD = relative standard deviation
1.4 SI units are the standard.
dy = variance in y parameter
i
1.5 There are no ISO methods equivalent to this practice.
r = correlation coefficient
R = gage reproducibility and repeatability (see Guide
2. Referenced Documents
F1469) an estimation of the combined variation
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2.1 ASTM Standards: 4
of repeatability and reproducibility
E177 Practice for Use of the Terms Precision and Bias in
s = within laboratory repeatability standard devia-
r
ASTM Test Methods
tion (see Practice E691)
E456 Terminology Relating to Quality and Statistics
s = between laboratory repeatability standard devia-
R
E691 Practice for Conducting an Interlaboratory Study to
tion (see Practice E691)
Determine the Precision of a Test Method
F1469 Guide for Conducting a Repeatability and Reproduc-
4. Summary of Practice
ibility Study onTest Equipment for NondestructiveTesting
4.1 The result of a series of replicate measurements of a
value are typically reported as the mean value plus some
3. Terminology
estimation of the precision in the mean value. The standard
3.1 Definitions—The technical terms used in this practice
deviation is the most commonly encountered tool for estimat-
are defined in Practice E177 and Terminology E456.
ing precision, but other tools, such as relative standard devia-
tion or pooled standard deviation, also may be encountered in
specific thermoanalytical test methods. This practice describes
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This practice is under the jurisdiction of ASTM Committee E37 on Thermal
the mathematical process of achieving mean value, standard
Measurements and is the direct responsibility of Subcommittee E37.10 on Funda-
deviation, relative standard deviation and pooled standard
mental, Statistical and Mechanical Properties.
Current edition approved March 1, 2006. Published April 2006. Originally
deviation.
approved in 1998. Last previous edition approved in 2001 as E1970 – 01. DOI:
10.1520/E1970-06.
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For referenced ASTM standards, visit the ASTM website, www.astm.org, or Taylor, J.K., Handbook for SRM Users, Publication 260-100, National Institute
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM of Standards and Technology, Gaithersburg, MD, 1993.
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Standards volume information, refer to the standard’s Document Summary page on Measurement System Analysis, third edition, Automotive Industry Action
the ASTM website. Group, Southfield, MI, 2003, pp. 55, 177–184.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
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E1970–06
NOTE 2—In the calculation of intermediate or final results, all available
4.2 In some thermal analysis experiments, a linear or a
figures shall be retained with any rounding to take place only at the
straight line, response is assumed and desired values are
expression of the final results according to specific instructions or to be
obtained from the slope or intercept of the straight line through
consistent with the precision and bias statement.
the experimental data. In any
...