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Quality & Quantity
Published in: Quality & Quantity 1/2024

01-03-2023

New lights on the correlation matrix implied by a recursive path model

Authors: Seyid Abdellahi Ebnou Abdem, Zouhair El Hadri, M’barek Iaousse

Published in: Quality & Quantity | Issue 1/2024

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Abstract

Path Analysis is a statistical method to study the causal relationships between observed variables. The specification and the estimation steps are crucial in the whole process. In fact, the relationships between variables and their status are specified. In addition, the model parameters are estimated based on the so-called correlation matrix implied by the model. Two methods are available to compute this matrix: Jöreskog’s method and the Finite Iterative Method. Many researchers recommend that the variances of the endogenous variables to be fixed. For instance, diagonal elements are equal to 1. As a consequence, the present paper aims to show that the two methods are identical. Furthermore, numerical studies and empirical simulations illustrating the advantages of this recommendation are also given.
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Footnotes
1
In the specification step, we identify the types (exogenous and endogenous) of variables and the relationships among them. Afterward, the correlations between the variables are expressed as functions of the model’s parameters. Moreover, it is from this step that we derive the assumptions about the variables and their variances. Therefore, we specify the model’s parameters that we need to estimate and the status of them Kline (2016).
 
2
Several functions are used for this purpose, like the Maximum Likelihood (see (Bollen 1989) for more details).
 
3
A free parameter is a parameter whose value must be found Kline (2016).
 
4
A constrained parameter is a parameter expressed as a function of one or several parameters of the model, or a parameter that takes its value only at a predetermined interval (Kline 2016).
 
5
In the present paper, the bold 1 defines the vector whose elements are 1.
 
Literature
Ana, C., Nedelcea, C.: Factors impacting the experience of empathic distress in social anxiety: a path analysis approach. J. Soc. Psychol. 162(1), 57–70 (2022)CrossRef
Cohen, J.: Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences. Routledge, Newyork (2003)
David, L Streiner: Finding our way: an introduction to path analysis. Can. J. Psychiatry. 50(2), 115–122 (2005)CrossRef
El Hadri, Z., Abderrahim, S., Hanafi, M.: Simple and fast convergent procedure to estimate recursive path analysis model. Behaviormetrika 50, 317–333 (2022)CrossRef
El Hadri, Z., Iaousse, M.: Computation of the covariance matrix implied by a recursive structural equation model with latent variables. Qual. Quant. 56(6), 4295–4311 (2022)CrossRef
El Hadri, Z., Iaousse, M., Hanafi, M., Dolce, P., Elkettani, Y.: Properties of the correlation matrix implied by a recursive path model using the finite iterative method. Electr. J. Appl. Stat. Anal. 13(2), 413–435 (2020)
Enrico, C., Sergio, S., Mossi, P., Gloria, L.: High-order PLS path model for multi-group analysis: the prosumership service quality model. Qual. Quant. 53(5), 2371–2384 (2019)CrossRef
Gamborg, M., Andersen, P.K., et al.: Life course path analysis of birth weight, childhood growth, and adult systolic blood pressure. Am. J. Epidemiol. 169(10), 1167–1178 (2009)CrossRef
Gareth. J & al.: An Introduction to Statistical Learning: with Applications in R. Springer. (2021)
Holgado, T.F.P., Moscoso, S., Barbero, G.I.: Polychoric versus Pearson correlations in exploratory and confirmatory factor analysis of ordinal variables. Qual. Quant. 44, 153–166 (2010)CrossRef
Iaousse, M., El Hadri, Z., Hmimou, A., El Kettani, Y.: An iterative method for the computation of the correlation matrix implied by a recursive path model. Qual. Quant. 55, 897–915 (2020)CrossRef
Iaousse, M., Hmimou, A., El Hadri, Z., El Kettani, Y.: A modified algorithm for the computation of the covariance matrix implied by a structural recursive model with latent variables using the finite iterative method. Stat. Optim. Inf. Comput. 8(2), 359–373 (2020)CrossRef
Jonathan, E., Sigal, L., Maayan, M., Susan, A.: The association of attachment style, postpartum PTSD and depression with bonding- A longitudinal path analysis model, from childbirth to six months. J. Affect. Disord. 280(2021), 17–25 (2021)
Jöreskog, K.G.: A general method for the analysis of covariance structures. Biometrica. 57(2), 239–251 (1970)CrossRef
Kamel, G., Guillaume, B.: Structural Equation Modeling with Lavaan. Wiley, NewYork (2016)
Kenny, D.A.: Correlation and Causality. Wiley, NewYork (1979)
Kheana, B., Kayla, B., Fatima, S., Kevin, S.: Path analysis in Mplus:a tutorial using a conceptual model of psychological and behavioral antecedents of bulimic symptoms in young adults. Quant. Methods Psychol. 15(1), 38–53 (2019)CrossRef
Kline, R.: Principles and Practice of Structural Equation Modeling. Guilford, New York NY (2016)
Mulaik, Stanley A.: Linear causal modeling with structural equations. Chap- man and Hall CRC. (2009)
Norman. GR, Streiner. DL.: PDQ statistics. 3rd ed. Toronto (ON): BC Decker. (2003)
Piotr, T.: An overview of structural equation modeling: its beginnings, historical development, usefulness and controversies in the social sciences. Qual. Quant. 52, 313–354 (2018)CrossRef
Roberta, D., Ruggero, B., Lorenzo, T., Giovanni, P.: Multi-study Factor Analysis. Biometric. Practice 75(1), 337–346 (2019)
Saman, S.R.N.: Illness acceptance, medication adherence and the quality of life in patients with heart failure: a path analysis of a conceptual model. Appl. Nurs. Res. 65, 151583 (2022)CrossRef
Seyid, E., Iaousse, M., El Hadri, Z.: Generalizing the properties of the finite iterative method for the computation of the covariance matrix implied by a recursive path model. Stat. Optim. Inf. Comput. 10(4), 1222–1234 (2022)CrossRef
Shipley, B.: Cause and Correlation in Biology: A User’s Guide to Path Analysis, Structural Equations, and Causal Inference in R. Cambridge University Press. (2016)
Wenyan, S., et al.: Distribution of soil available nutrients and their response to environmental factors based on path analysis model in arid and semi-arid area of northwest China. Sci. Total Environ. 827, 154254 (2022)CrossRef
Wright. S.: Correlation and causation. J. Agric. Res. (1921)
Xiaonan, Ch., Jianfeng, S.: Influence path analysis of rural household portfolio selection: a empirical study using structural equation modelling method. J. Real Estate Financ. Econ. Vol. 64, 298–322 (2022)CrossRef
Metadata
Title
New lights on the correlation matrix implied by a recursive path model
Authors
Seyid Abdellahi Ebnou Abdem
Zouhair El Hadri
M’barek Iaousse
Publication date
01-03-2023
Publisher
Springer Netherlands
Published in
Quality & Quantity / Issue 1/2024
Print ISSN: 0033-5177
Electronic ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-023-01629-4

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