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The Method of Path Coefficients

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Trajectory Analysis in Health Care

Abstract

The classical simple linear regression model involves one independent variable and one dependent (outcome) variable. Sewall Wright developed the method of path coefficients as a comprehensive approach to study the direct and indirect relationships between multiple independent variables and a dependent variable. The approach builds upon traditional regression analysis by building models that incorporate all hypothesized necessary and sufficient conditions and that better address temporal “cause-and-effect ” associations. The net result of the method of path coefficients is the realization that many variables, some seemingly insignificant, may contribute directly or indirectly to given health and behavioral outcomes.

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Abbreviations

ABM:

Agent-Based Model

ANOVA:

Analysis of variance

HDL:

High density lipoprotein cholesterol

HLM:

Hierarchical Linear Model

IBM:

Individual Based Model

LDL:

Low density lipoprotein cholesterol

LISREL:

Linear structural relations, a software program

NAD:

Nicotinamide Adenine Dinucleotide

NetLogo:

Simulation software program (freeware)

SEM:

Structural Equation Model

SUD:

Substance use disorder

References

  • Achenbach, T. M. (1991). Manual for the child behavior checklist/4–18 & 1991 profile. Burlington, VT: University of Vermont Department of Psychiatry.

    Google Scholar 

  • Blum, H. K. (1983). Expanding health care horizons: From general systems concept of health to a national health policy (2nd ed.pp. 34–37). Oakland, CA: Third Party Publishing.

    Google Scholar 

  • Box, G. E. P. (1976). Science and statistics. Journal of the American Statistical Association, 71(356), 791–799.

    Article  Google Scholar 

  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 136–162). Newbury Park, CA: Sage.

    Google Scholar 

  • Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and data analysis methods. Newbury Park, CA: Sage.

    Google Scholar 

  • Byrne, B. M. (1998). Structural equation modeling with LISREL, PRELIS, and SIMPLIS: Basic concepts, applications, and programming. Mahwah, NJ: Laurence Erlbaum Associates.

    Google Scholar 

  • Cliff, N. (1983). Some cautions concerning the application of causal modeling methods. Multivariate Behavioral Research, 18, 115–126.

    Article  CAS  PubMed  Google Scholar 

  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Coleman, J. S., Campbell, E. Q., Hobson, C. J., McPartland, J., Mood, A. M., Weinfeld, F. D., et al. (1966). Equality of educational opportunity. Washington, DC: National Center for Education Statistics. Report Number OE-38001.

    Google Scholar 

  • Crocker, L., & Algina, J. (1986). Introduction to classical and modern test theory. Forth Worth, TX: Harcourt Brace Jovanovich.

    Google Scholar 

  • Dresden, M., & Wong, D. (1975). Life games and statistical models. Proceedings of the National Academy of Sciences of the United States of America, 72(3), 956–960.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Eigen, M., & Schuster, P. (1979). The hypercycle: A principle of natural self-organization. Berlin: Springer.

    Book  Google Scholar 

  • Ekman, P. (1992). Facial expression of emotion: New findings, new questions. Psychological Science, 3, 34–38.

    Article  Google Scholar 

  • Epstein, N. B., Baldwin, L. M., & Bishop, D. S. (1983). The McMaster Family Assessment Device. Journal of Marital Family Therapy, 9, 171–180.

    Article  Google Scholar 

  • Fassinger, R. E. (1987). Use of structural equation modeling in counseling psychology research. Journal of Counseling Psychology, 34, 425–436.

    Article  Google Scholar 

  • Faul, F., Erdfelder, E., Lang, A. G., & Buchner, A. (2007). G*Power 3: A flexible statistical power analysis program for the social, behavioral, and biomedical sciences. Behavior Research Methods, 39, 175–191.

    Article  PubMed  Google Scholar 

  • Gay, L. R. (1992). Educational research: Competencies for analysis and application (4th ed.). New York, NY: Merrill.

    Google Scholar 

  • Gilbert, N., & Troitzsch, K. G. (2005). Simulation for the social scientist. Berkshire: Open University Press/McGraw Hill.

    Google Scholar 

  • Gorsuch, R. L. (1983). Factor analysis (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Grimm, V., & Railsback, S. F. (2005). Individual-based modeling and ecology. Princeton, NJ: Princeton University Press.

    Book  Google Scholar 

  • Guarente, L. (2014). Linking DNA damage, NAD+/SIRT1, and aging. Cell Metabolism, 20, 706–707.

    Article  CAS  PubMed  Google Scholar 

  • Hamilton, W. D. (1963). The evolution of altruistic behavior. The American Naturalist, 97(896), 354–356.

    Article  Google Scholar 

  • Hayduck, L. A. (1987). Structural equation modeling with LISREL: Essentials and advances. Baltimore, MD: Johns Hopkins University Press.

    Google Scholar 

  • Hayduck, L. A. (1996). LISREL issues, debates and strategies. Baltimore, MD: Johns Hopkins University Press.

    Google Scholar 

  • Hidalgo, B., & Goodman, M. (2013). Multivariate or multivariable regression? American Journal of Public Health, 103(1), 39–40.

    Article  PubMed  PubMed Central  Google Scholar 

  • Hollar, D. (2016) Validation of a new instrument to evaluate gradients of empathy. Journal of Psychoeducational Assessment. doi:10.1177/0734282915623882.

  • Hollar, D., Paxton, A., & Fleming, P. (2012). Exploratory validation of the fruit and vegetable neophobia attitudes instrument among elementary grade students. Appetite, 60, 226–230.

    Article  PubMed  Google Scholar 

  • Kothari, D. S. (1975). Some thoughts on truth. New Delhi: Anniversary Address, Indian National Science Academy, Bahadur Shah Zafar Marg.

    Google Scholar 

  • Lee, V., & Bryk, A. S. (1989). A multilevel model of the social distribution of high school achievement. Sociology of Education, 62, 172–192.

    Article  Google Scholar 

  • Lem, S. (1978). Odds. The New Yorker, 54, 38–54.

    Google Scholar 

  • Long, J. S. (1983). Covariance structure models. An introduction to LISREL. Newbury Park, CA: Sage.

    Book  Google Scholar 

  • Marsh, H. W., Lüdtke, O., Muthen, B., Asparouhov, T., Morin, A. J., Trautwein, U., et al. (2010). A new look at the big five factor structure through exploratory structural equation modeling. Psychological Assessment, 22, 471–491.

    Article  Google Scholar 

  • Marsh, H. W., Muthen, B., Asparouhov, A., Lüdtke, O., Robitzsch, A., AJS, M., et al. (2009). Exploratory structural equation modeling, integrating CFA and EFA: Application to students’ evaluations of university teaching. Structural Equation Modeling, 16, 439–476.

    Article  Google Scholar 

  • McLellan, A. T., Luborsky, L., Cacciola, J., Griffith, J., Evans, F., Barr, H. L., et al. (1985). New data from the Addiction Severity Index: Reliability and validity in three centers. Journal of Nervous and Mental Disorders, 173, 412–423.

    Article  CAS  Google Scholar 

  • Messick, S. (1988). Validity. In R. L. Linn (Ed.), Educational measurement (3rd ed.). New York, NY: American Council on Education, Macmillan.

    Google Scholar 

  • Nowak, M. A., Tarnita, C. E., & Wilson, E. O. (2010). The evolution of eusociality. Nature, 466, 1057–1062.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Pedhazur, E. J. (1982). Multiple regression in behavioral research: Explanation and prediction (2nd ed.). Fort Worth, TX: Harcourt Brace College Publishers.

    Google Scholar 

  • Pembrey, M. E., Bygren, L. O., Kaati, G., Edvinsson, S., Northstone, K., Sjostrom, M., … The ALSPAC Study Team (2006). Sex-specific, male-line transgenerational responses in humans. European Journal of Human Genetics, 14, 159–166.

    Google Scholar 

  • Picard, M., McManus, M. J., Gray, J. D., Nasca, C., Moffat, C., Kopinski, P. K., … Wallace, D.C. (2015). Mitochondrial functions modulate neuroendocrine, metabolic, inflammatory, and transcriptional responses to acute psychological stress. Proceedings of the National Academy of Sciences of the United States of America 112(48):E6614–E6623. www.pnas.org/cgi/doi/10.1073/pnas.1515733112.

  • Popper, K. (2002). The logic of scientific discovery. New York, NY: Routledge.

    Google Scholar 

  • Prigogine, I. (1982, December 18). Only an illusion (The Tanner lectures on human values) (pp. 35–63). Delhi: Jawaharlal Nehru University.

    Google Scholar 

  • Raudenbush, S., & Bryk, A. S. (1986). A hierarchical model for studying school effects. Sociology of Education, 59(1), 1–17.

    Article  Google Scholar 

  • Rodgers, J. T., Lerin, C., Gerhart-Hines, Z., & Puigserver, P. (2008). Metabolic adaptations through the PGC-1α and SIRT1 pathways. FEBS Letters, 582, 46–53.

    Article  CAS  PubMed  Google Scholar 

  • Rothman, K. J., & Greenland, S. (1998). Modern epidemiology (2nd ed.). Philadelphia, PA: Lippincott–Raven Publishers.

    Google Scholar 

  • Singer, J. D., & Willett, J. B. (2003). Applied longitudinal data analysis: Modeling change and event occurrence. New York, NY: Oxford University Press.

    Book  Google Scholar 

  • Stanger, C., Kaman, J., Dumenci, L., Higgins, S. T., Bickel, W. K., Grabowski, J., et al. (2002). Predictors of internalizing and externalizing problems among children of cocaine and opiate dependent parents. Drug and Alcohol Dependence, 66, 199–212.

    Article  Google Scholar 

  • Thom, R. (1972). Structural stability and morphogenesis. New York, NY: W.A. Benjamin.

    Google Scholar 

  • Wilensky, U. (1997). NetLogo cooperation model. Center for Connected Learning and Computer-Based Modeling, Northwestern Institute on Complex Systems, Northwestern University, Evanston, IL, http://ccl.northwestern.edu/netlogo/models/Cooperation.

    Google Scholar 

  • Wilensky, U. (1999). NetLogo. Evanston, IL: Center for Connected Learning and Computer-Based Modeling, Northwestern Institute on Complex Systems, Northwestern University. http://ccl.northwestern.edu/netlogo/.

    Google Scholar 

  • World Health Organization. (2001). International classification of functioning, disability and health. Geneva: World Health Organization.

    Google Scholar 

  • Wright, S. (1918). On the nature of size factors. Genetics, 3, 367–374.

    CAS  PubMed  PubMed Central  Google Scholar 

  • Wright, S. (1920). The relative importance of heredity and environment in determining the piebald pattern of guinea pigs. Proceedings of the National Academy of Sciences of the United States of America, 6, 320–332.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Wright, S. (1921). Correlation and causation. Journal of Agricultural Research, 20, 557–585.

    Google Scholar 

  • Wright, S. (1934). The method of path coefficients. Annals of Mathematical Statistics, 5(3), 161–215.

    Article  Google Scholar 

  • Wright, S. (1960a). Path coefficients and path regressions: Alternative or complementary concepts? Biometrics, 16(2), 189–202.

    Article  Google Scholar 

  • Wright, S. (1960b). The treatment of reciprocal interaction, with or without lag, in path analysis. Biometrics, 16(3), 423–445.

    Article  Google Scholar 

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Hollar, D.W. (2018). The Method of Path Coefficients. In: Trajectory Analysis in Health Care. Springer, Cham. https://doi.org/10.1007/978-3-319-59626-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-59626-6_5

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