ForewordIntroductionScopeNormative referencesTerms and definitionsPrincipleProcedures for determining the linear relationships — Methods A and BProcedures common to methods A and BMethod A — Covariance methodGeneralSuitability of dataFunctional relationshipsCalculation of variancesCheck for the suitability of data for extrapolationValidation of statistical procedures by an example calculationMethod B — Regression with time as the independent variableGeneralSuitability of dataFunctional relationshipsCheck for the suitability of data for extrapolationValidation of statistical procedures by an example calculationApplication of methods to product design and testingGeneralProduct designComparison to a specified valueDeclaration of a long-term valueSecond-order polynomial relationships (informative)GeneralVariablesSolution systemSuitability of dataCheck for the suitability of data for extrapolationValidation of statistical procedures by an example calculationNon-linear relationships (informative)GeneralModelProcedure for Line 1Determination of derived values for Y, x and yDetermination of parameters a and bDetermination of the least squares estimates for A and B and unbiased estimate for ˜12Determination of estimates for parameters c and dProcedure for Line 2Determination of X, Y, ¯ and ¯ Determination of the least squares estimates for ^ and ^ and unbiased estimate for ˜12Determination of confidence and prediction intervalsStudent's t test for a and bCalculation of long-term (50-year) stiffnessValidation of statistical procedures by an example calculationProcedure for Line 1Determination of derived values for Y, x and yDetermination of parameters a and bDetermination of the least squares estimates for A and B and unbiased estimate for ˜12Determination of estimates for parameters c and dProcedure for Line 2Determination of X, Y, ¯ and ¯ Determination of the least squares estimates for ^ and ^ and unbiased estimate for ˜12Determination of confidence and prediction intervalsStudent's t test for a and bCalculation of long-term (50-year) stiffnessDescription and comments on data and modelLine 1Line 2Analysis and formulaeLine 1Computation of ^ Computation of ^ Computation of ˜12Computation of a, b, c and dUsing estimation procedureUsing statistical softwareOther derived variables associated with Line 1Line 2Computation of a, b, and ^Prediction and confidence intervalsStudent's t test for a and bCalculation of long-term (50-year) stiffnessCalculation of lower confidence and prediction limits for method A (normative)GeneralCalculation of quantities and variancesCalculation of confidence intervalsValidation of procedures by a sample calculationBibliography