Using structural equation models to evaluate the magnitude of measurement error in blood pressure

This article aims to compare alternative methods for estimating the quality of blood pressure measurements. Traditional within-subject variance estimates in mixed analysis of variance models are compared to multiple-group multitrait-multimethod models, which are a particular case of mean-and-covariance-structure confirmatory factor analysis models. Confirmatory factor analysis models belong to the family of structural equation models and were specifically developed to analyse psychosociological traits measured by tests or surveys, but they have also proved suitable for evaluating the quality of blood pressure measurements. Confirmatory factor analysis models are less restrictive and provide more detailed information than traditional approaches, enable researchers to compute weighted averages of individual measures with optimal measurement quality, make it easier to correct the biasing effects of measurement error on the results of substantive studies, and make the use of equivalent replicated measures unnecessary under certain conditions.

[1]  A. Goldberger,et al.  Structural Equation Models in the Social Sciences. , 1974 .

[2]  R. P. McDonald,et al.  Evaluation of Measurement Instruments by Meta-Analysis of Multitrait Multimethod Studies. , 1992 .

[3]  Albert Satorra,et al.  Asymptotic robust inferences in the analysis of mean and covariance structures , 1992 .

[4]  P. Molenaar,et al.  A LISREL model for the analysis of repeated measures with a patterned covariance matrix , 1998 .

[5]  B Rosner,et al.  Predictive values of routine blood pressure measurements in screening for hypertension. , 1983, American journal of epidemiology.

[6]  R. Carroll,et al.  Segmented regression with errors in predictors: semi-parametric and parametric methods. , 1997, Statistics in medicine.

[7]  Robert L. Linn,et al.  Path analysis: Psychological examples. , 1970 .

[8]  N. Cook.  Estimating predictive values for blood pressure measurements from multivariate regression models with covariates. , 1996, Statistics in medicine.

[9]  D. Shepard.  Reliability of blood pressure measurements: implications for designing and evaluating programs to control hypertension. , 1981, Journal of chronic diseases.

[10]  K. Jöreskog.  Statistical analysis of sets of congeneric tests , 1971 .

[11]  K. Jöreskog.  A general approach to confirmatory maximum likelihood factor analysis , 1969 .

[12]  Bryan W. Coyle,et al.  A Review And Critique Of Analyses Of Multitrait-Multimethod Matrices. , 1977, Multivariate behavioral research.

[13]  Peter M. Bentler,et al.  Estimates and tests in structural equation modeling. , 1995 .

[14]  H Tunstall-Pedoe,et al.  The Dundee coronary risk-disk for management of change in risk factors. , 1991, BMJ.

[15]  W. Schmidt,et al.  Studies of a Class of Covariance Structure Models , 1973 .

[16]  M Palta,et al.  Latent variables, measurement error and methods for analysing longitudinal binary and ordinal data. , 1999, Statistics in medicine.

[17]  D. Boomsma,et al.  Etiology of individual differences in birth weight of twins as a function of maternal smoking during pregnancy. , 1998, Twin research : the official journal of the International Society for Twin Studies.

[18]  J. Mcardle.  Dynamic but Structural Equation Modeling of Repeated Measures Data , 1988 .

[19]  R. Groves,et al.  Survey Errors and Survey Costs. , 1991 .

[20]  H K Genant,et al.  Comparative calibration without a gold standard. , 1997, Statistics in medicine.

[21]  B. Muthén.  Latent variable modeling in heterogeneous populations , 1989 .

[22]  W. Saris.  Relationship Between a Restricted Correlated Uniqueness Model and a Direct Product Model for Multitrait-Multimethod Data , 2003 .

[23]  R. Boruch,et al.  Alternative Methods of Analysis: Multitrait-Multimethod Data , 1970 .

[24]  D. Campbell,et al.  Convergent and discriminant validation by the multitrait-multimethod matrix. , 1959, Psychological bulletin.

[25]  Richard J. Shavelson,et al.  Generalizability Theory: A Primer , 1991 .

[26]  The analysis of complex patterns of longitudinal binary response: an example of transient dysphagia following radiotherapy. , 1998, Statistics in medicine.

[27]  N. Cook,et al.  Assessing the Validity of Childhood Blood Pressure Screening: Unbiased Estimates of Sensitivity, Specificity, and Predictive Values , 1992, Epidemiology.

[28]  Neal Schmitt,et al.  Methodology Review: Analysis of Multitrait-Multimethod Matrices , 1986 .

[29]  Leroy Wolins,et al.  A Procedure for Estimation of Trait, Method, and Error Variance Attributable to a Measure1 2 , 1970 .

[30]  R. Collins,et al.  Blood pressure, stroke, and coronary heart disease Part 1, prolonged differences in blood pressure: prospective observational studies corrected for the regression dilution bias , 1990, The Lancet.

[31]  Willem E. Saris,et al.  Tests of stability in attitude research , 1997 .

[32]  Douglas M. Hawkins,et al.  Interactive LISREL : user's guide , 2001 .

[33]  W. Kannel.  Low high-density lipoprotein cholesterol and what to do about it. , 1992, The American journal of cardiology.

[34]  P M Bentler,et al.  Structural equation models in medical research , 1992, Statistical methods in medical research.

[35]  Bengt Muthén,et al.  General Longitudinal Modeling of Individual Differences in Experimental Designs: A Latent Variable Framework for Analysis and Power Estimation , 1997 .

[36]  Keith F Widaman,et al.  Confirmatory factor analysis and item response theory: two approaches for exploring measurement invariance. , 1993, Psychological bulletin.

[37]  E Ambrosioni,et al.  Comparison of three devices for measuring blood pressure. , 1985, Statistics in medicine.

[38]  A. Dyer,et al.  The value of two or three versus a single reading of blood pressure at a first visit. , 1979, Journal of chronic diseases.

[39]  H. Marsh.  Confirmatory Factor Analyses of Multitrait-Multimethod Data: Many Problems and a Few Solutions , 1989 .

[40]  Annette Scherpenzeel,et al.  The Evaluation of Measurement Instruments By Meta-Analysis of Multitrait-Multimethod Studies , 1993 .

[41]  D. Sörbom.  A GENERAL METHOD FOR STUDYING DIFFERENCES IN FACTOR MEANS AND FACTOR STRUCTURE BETWEEN GROUPS , 1974 .

[42]  J. Lennard-jones,et al.  Jejunal efflux in short bowel syndrome , 1990, The Lancet.

[43]  D. Campbell,et al.  Convergent and Discriminant Validity by the Multitrait-Multimethod Matrix,” Psychological Bulletin (2), March, pp. . , 1959 .

[44]  D T Campbell,et al.  Methods Factors In Multitrait-Multimethod Matrices : Multiplicative Rather Than Additive? , 1967, Multivariate behavioral research.

[45]  Zdenek Kotásek,et al.  I-path analysis , 1993, Proceedings ETC 93 Third European Test Conference.

[46]  M. Browne,et al.  The decomposition of multitrait-multimethod matrices. , 1984, The British journal of mathematical and statistical psychology.

[47]  W. Saris,et al.  Stability of Three-Wave Simplex Estimates of Reliability. , 1999 .

[48]  R. P. McDonald,et al.  Structural Equations with Latent Variables , 1989 .

[49]  B. Rosner,et al.  The implications of blood pressure variability for clinical and screening purposes. , 1979, Journal of chronic diseases.

[50]  W. Saris,et al.  A new measurement procedure for attitudinal research. Analysis of its psychometric and informational properties , 1992 .

[51]  Julian C. Stanley,et al.  Analysis of unreplicated three-way classifications, with applications to rater bias and trait independence , 1961 .

[52]  E. Chelimsky,et al.  Cross-design Synthesis: A New Form of Meta-analysis for Combining Results from Randomized Clinical Trials and Medical-practice Databases , 1993, International Journal of Technology Assessment in Health Care.

[53]  D. R. Heise.  Separating reliability and stability in test-retest correlation. , 1969 .

[54]  D. Alwin.  Approaches to the Interpretation of Relationships in the Multitrait-Multimethod Matrix , 1973 .

[55]  Thomas Simpson.  XIX. A letter to the Right Honourable George Earl of Macclesfield, President of the Royal Society, on the advantage of taking the mean of a number of observations, in practical Astronomy , 1755, Philosophical Transactions of the Royal Society of London.

[56]  M. R. Novick,et al.  Statistical Theories of Mental Test Scores. , 1971 .

[57]  K. Jöreskog.  A general method for analysis of covariance structures , 1970 .

[58]  Werner Wothke,et al.  Models for Multitratit-Multimethod Matrix Analysis , 1996 .

[59]  Willem E. Saris,et al.  Systematic and Random Method Effects . Estimating Method Bias and Method Variance , 2022 .

[60]  F. M. Andrews.  Construct Validity and Error Components of Survey Measures: A Structural Modeling Approach , 1984 .