1.1 Material and mixture properties such as air voids and voids in mineral aggregates (VMA) are calculated from two or three test results, combined in simple mathematical relationships. The standard deviation equations for these calculated values can be developed using a mathematical process called “propagation of errors” (also called “propagation of uncertainty”). This practice includes uncertainty equations for four forms or material and mixture equations: when two test results are (1) added or subtracted, (2) multiplied together, (3) one divided by the other, and (4) two test results divided by a third.
1.2 This approach to calculating standard deviation equations is only valid when the distributions of the test results from the two standards are independent (that is, not correlated).
1.3 The accuracy of a calculated standard deviation is dependent on the accuracy of the standard deviations used for the individual test result methods.
1.4 Values for the mean and standard deviation for each test method are needed to determine the standard deviation for a calculated value.
1.5 Examples of how to use these equations are shown in Appendix X1.
1.6 A brief explanation of how standard deviation equations are derived for more complicated material and mixture equations is also included.
1.7 The text of this standard references notes and footnotes which provide explanatory material. These notes and footnotes (excluding those in tables and figures) shall not be considered as requirements of the standard.
1.8 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.
1.9 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.
ASTM D4460-22a Referenced Document
ASTM C127 Standard Test Method for Density, Relative Density (Specific Gravity), and Absorption of Coarse Aggregate
ASTM C128 Standard Test Method for Density, Relative Density (Specific Gravity), and Absorption of Fine Aggregate
ASTM D1188/D1188M Standard Test Method for Bulk Specific Gravity and Density of Compacted Asphalt Mixtures Using Coated Samples
ASTM D2172/D2172M Standard Test Methods for Quantitative Extraction of Asphalt Binder from Asphalt Mixtures
ASTM D2726/D2726M Standard Test Method for Bulk Specific Gravity and Density of Non-Absorptive Compacted Asphalt Mixtures*, 2024-04-22 Update
ASTM D4125/D4125M Standard Test Methods for Asphalt Content of Asphalt Mixtures by the Nuclear Method
ASTM D6307 Standard Test Method for Asphalt Content of Hot-Mix Asphalt by Ignition Method
ASTM D6752/D6752M Standard Test Method for Bulk Specific Gravity and Density of Compacted Asphalt Mixtures Using Automatic Vacuum Sealing Method*, 2023-11-01 Update
ASTM E177 Standard Practice for Use of the Terms Precision and Bias in ASTM Test Methods
ASTM D4460-22a history
2022ASTM D4460-22a Standard Practice for Calculating Precision Limits Where Values Are Calculated from Other Test Methods
2022ASTM D4460-22 Standard Practice for Calculating Precision Limits Where Values Are Calculated from Other Test Methods
1997ASTM D4460-97(2015) Standard Practice for Calculating Precision Limits Where Values are Calculated from Other Test Methods
1997ASTM D4460-97(2009) Standard Practice for Calculating Precision Limits Where Values are Calculated from Other Test Methods
1997ASTM D4460-97(2005) Standard Practice for Calculating Precision Limits Where Values are Calculated from Other Test Methods
1997ASTM D4460-97(2004) Standard Practice for Calculating Precision Limits Where Values are Calculated from Other Test Methods
1997ASTM D4460-97 Standard Practice for Calculating Precision Limits Where Values are Calculated from Other Test Methods