1.1 根据两个或三个测试结果，结合简单的数学关系，计算材料和混合物特性，例如空隙率和矿物骨料中的空隙率（VMA）。这些计算值的标准偏差方程可以使用称为“误差传播”（也称为“不确定性传播”）的数学过程开发。本规程包括四种形式或材料的不确定度方程和混合物方程:当两个试验结果为( 1. )加或减( 2. )相乘( 3. )一个除以另一个，以及( 4. )两个测试结果除以三分之一。 1.2 这种计算标准偏差方程的方法仅在两个标准的测试结果分布独立（即不相关）时有效。 1.3 计算出的标准偏差的准确性取决于用于单个测试结果方法的标准偏差的准确性。 1.4 需要每个测试方法的平均值和标准偏差值来确定计算值的标准偏差。 1.5 如何使用这些方程的示例如所示 附录X1 . 1.6 还简要说明了如何推导更复杂材料和混合物方程的标准差方程。 1.7 本标准的文本引用了提供解释材料的注释和脚注。这些注释和脚注（不包括表和图中的注释和脚注）不应视为本标准的要求。 1.8 本标准并非旨在解决与其使用相关的所有安全问题（如有）。本标准的用户有责任在使用前制定适当的安全、健康和环境实践，并确定监管限制的适用性。 1.9 本国际标准是根据世界贸易组织技术性贸易壁垒（TBT）委员会发布的《关于制定国际标准、指南和建议的原则的决定》中确立的国际公认标准化原则制定的。 ====意义和用途====== 4.1 使用这种方法可以开发计算值的精度声明。用户还可以评估单个测试方法的精度如何影响计算值的可变性。 4.2 计算值的标准差是两个或多个测试方法结果的总和、差值、乘积或商，每个结果都有自己的精度声明，只要单个变量（即测试结果）是独立的，并且标准差相对于其平均值很小，就可以计算出该值的标准差。 这些限制通常在ASTM方法中得到满足。在不满足这些限制的情况下，可以使用其他方法。本标准仅涵盖符合限制的情况。

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. ====== Significance And Use ====== 4.1 Precision statements for calculated values can be developed using this approach. Users can also evaluate how an individual test method’s precision influences the variability of calculated values. 4.2 The standard deviation of a calculated value that is the sum, difference, product, or quotient of two or more test method results, each with their own precision statement, can be calculated so long as the individual variables (that is, test results) are independent and the standard deviations are small relative to their mean values. These restrictions are usually met in ASTM methods. In those cases where these restrictions are not met, other methods can be used. Only cases complying with the restrictions are covered in this standard.