Using parcels to convert path analysis models into latent variable models
Abstract
The biasing effects of measurement error in path analysis models can be overcome by the use of latent variable models. In cases where path analysis is used in practice, it is often possible to use parcels as indicators of a latent variable. The purpose of the current study was to compare latent variable models in which parcels were used as indicators of the latent variables, path analysis models of the aggregated variables, and models in which reliability estimates were used to correct for measurement error in path analysis models. Results showed that point estimates of path coefficients were smallest for the path analysis models and largest for the latent variable models. It is concluded that, whenever possible, it is better to use a latent variable model in which parcels are used as indicators than a path analysis model using total scale scores.
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As latent variables are free of measurement error, none of the estimated effects are attenuated due to measurement error.
“As latent variables are free of measurement error, none of the estimated effects are attenuated due to measurement error [60].”
From The Role of Conspiracist Ideation and Worldviews in Predicting Rejection of Science (2013) · cites this paper as [60]
Cites
(1998) · Cited by 36,049 · see citing works
Structural Equations with Latent Variables
Bollen, K. A. (1989) · Wiley series in probability and statistics · doi:10.1002/9781118619179 · Cited by 17,512 · see citing works
Structural Equations with Latent Variables.
Clogg, C. C., & Bollen, K. A. (1991) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2072165 · Cited by 17,471 · see citing works
Psychometric theory (2nd ed.).
Sitgreaves, R. (1979) · Contemporary Psychology · doi:10.1037/018882 · Cited by 14,384 · see citing works
Hu, L.-T., & Bentler, P. M. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.4.424 · Cited by 12,298 · see citing works
Power analysis and determination of sample size for covariance structure modeling.
MacCallum, R. C., Browne, M. W., & Sugawara, H. M. (1996) · Psychological Methods · doi:10.1037/1082-989x.1.2.130 · Cited by 10,418 · see citing works
Self-citationCurran, P. J., West, S. G., & Finch, J. F. (1996) · Psychological Methods · doi:10.1037/1082-989x.1.1.16 · Cited by 5,512 · see citing works
Introduction to Classical and Modern Test Theory
Crocker, L. M., & Algina, J. J. (1986) · Cited by 5,090 · see citing works
Applications of Structural Equation Modeling in Psychological Research
MacCallum, R. C., & Austin, J. T. (2000) · Annual Review of Psychology · doi:10.1146/annurev.psych.51.1.201 · Cited by 2,634 · see citing works
Self-citation(2007) · Sage eBooks · doi:10.4135/9781412952644.n300 · Cited by 2,589 · see citing works
Bagozzi, R. P., & Heatherton, T. F. (1994) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519409539961 · Cited by 1,477 · see citing works
Bandalos, D. L. (2002) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1207/s15328007sem0901_5 · Cited by 1,387 · see citing works
Is More Ever Too Much? The Number of Indicators per Factor in Confirmatory Factor Analysis
Marsh, H. W., Hau, K.-T., Balla, J. R., & Grayson, D. (1998) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3302_1 · Cited by 1,307 · see citing works
A General Approach for Representing Constructs in Organizational Research
Bagozzi, R. P., & Edwards, J. R. (1998) · Organizational Research Methods · doi:10.1177/109442819800100104 · Cited by 1,217 · see citing works
Unidimensional Versus Domain Representative Parceling of Questionnaire Items: An Empirical Example
Kishton, J. M., & Widaman, K. F. (1994) · Educational and Psychological Measurement · doi:10.1177/0013164494054003022 · Cited by 982 · see citing works
The causes of organizational citizenship behavior: A motivational analysis.
Rioux, S. M., & Penner, L. A. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.6.1306 · Cited by 893 · see citing works
Hofmann, D. A., & Morgeson, F. P. (1999) · Journal of Applied Psychology · doi:10.1037/0021-9010.84.2.286 · Cited by 804 · see citing works
The Role of Goal Orientation Following Performance Feedback
VandeWalle, D., Cron, W. L., & Slocum, J. W. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.4.629 · Cited by 781 · cited 1× · see citing works
“…for a latent variable model (with items as indicators) compared to a reliability corrected model (Stephenson & Holbert, 2003), and this underestimation of the unique variance in the reliability corrected model is a likely reason for the less biased parameter estimates in the latent variable model.”
ResultItem Parceling Issues in Structural Equation Modeling
Bandalos, D. L., & Finney, S. J. (2001) · Psychology Press eBooks · doi:10.4324/9781410601858-15 · Cited by 730 · see citing works
Item Parceling Strategies in SEM: Investigating the Subtle Effects of Unmodeled Secondary Constructs
Hall, R. J., Snell, A. F., & Foust, M. S. (1999) · Organizational Research Methods · doi:10.1177/109442819923002 · Cited by 710 · see citing works
Little, T. D., Lindenberger, U., & Nesselroade, J. R. (1999) · Psychological Methods · doi:10.1037/1082-989x.4.2.192 · Cited by 626 · see citing works
Time management: Test of a process model
Macan, T. H. (1994) · Journal of Applied Psychology · doi:10.1037/0021-9010.79.3.381 · Cited by 601 · see citing works
Analysis of correlation matrices using covariance structure models.
Cudeck, R. A. (1989) · Psychological Bulletin · doi:10.1037/0033-2909.105.2.317 · Cited by 567 · see citing works
Mathematics self-efficacy and mathematics performances: The need for specificity of assessment.
Pajares, F., & Miller, M. D. (1995) · Journal of Counseling Psychology · doi:10.1037/0022-0167.42.2.190 · Cited by 510 · see citing works
Construct validation of two instruments designed to measure job involvement and work centrality.
Paullay, I. M., Alliger, G. M., & Stone‐Romero, E. F. (1994) · Journal of Applied Psychology · doi:10.1037/0021-9010.79.2.224 · Cited by 498 · see citing works
Masterson, S. S. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.4.594 · Cited by 361 · see citing works
Smith, G. T., Goldman, M. S., Greenbaum, P. E., & Christiansen, B. A. (1995) · Journal of Abnormal Psychology · doi:10.1037/0021-843x.104.1.32 · Cited by 335 · see citing works
Stice, E. M., & Barrera, M. (1995) · Developmental Psychology · doi:10.1037/0012-1649.31.2.322 · Cited by 321 · see citing works
Chan, D., Schmitt, N., DeShon, R. P., Clause, C. S., & Delbridge, K. (1997) · Journal of Applied Psychology · doi:10.1037/0021-9010.82.2.300 · Cited by 273 · see citing works
A cautionary note on measurement error corrections in structural equation models.
DeShon, R. P. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.4.412 · Cited by 226 · see citing works
Issues in applied structural equation modeling research
Raykov, T., & Widaman, K. F. (1995) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519509540017 · Cited by 207 · see citing works
Lee, R. M., & Liu, H. T. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.4.410 · Cited by 199 · see citing works
Stephenson, M. T., & Holbert, R. L. (2003) · Communication Research · doi:10.1177/0093650203030003004 · Cited by 197 · see citing works
Turning around reading achievement: Predictors of high school students' academic resilience.
Cappella, E., & Weinstein, R. S. (2001) · Journal of Educational Psychology · doi:10.1037/0022-0663.93.4.758 · Cited by 167 · see citing works
Abbey, A., Andrews, F. M., & Halman, L. J. (1995) · Journal of Personality and Social Psychology · doi:10.1037//0022-3514.68.3.455 · Cited by 157 · see citing works
Development and validation of the Evaluation Process Within Supervision Inventory.
Lehrman-Waterman, D., & Ladany, N. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.2.168 · Cited by 154 · see citing works
Allen, D. G., & Griffeth, R. W. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.5.1014 · Cited by 152 · see citing works
Weisz, J. R., Southam‐Gerow, M. A., & McCarty, C. A. (2001) · Journal of Abnormal Psychology · doi:10.1037//0021-843x.110.1.97 · Cited by 129 · see citing works
Weisz, J. R., Southam-Gerow, M. A., & McCarty, C. A. (2001) · Journal of Abnormal Psychology · doi:10.1037/0021-843x.110.1.97 · Cited by 129 · see citing works
Marsh, H. W., Kong, C.-K., & Hau, K. (2001) · Journal of Educational Psychology · doi:10.1037/0022-0663.93.3.543 · Cited by 124 · see citing works
Predicting the scholarly activity of counseling psychology students: A refinement and extension.
Kahn, J. H. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.3.344 · Cited by 119 · see citing works
Does entitlement mediate the link between masculinity and rape-related variables?
Hill, M. S., & Fischer, A. R. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.1.39 · Cited by 110 · see citing works
Memory and Speed: Their Role in the Relation of Infant Information Processing to Later IQ
Rose, S. A., & Feldman, J. F. (1997) · Child Development · doi:10.1111/j.1467-8624.1997.tb04226.x · Cited by 107 · see citing works
Perrone, K. M., & Worthington, E. L. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.1.3 · Cited by 103 · see citing works
Validation of a measure of perceived union support.
Shore, L. M., Tetrick, L. E., Sinclair, R. R., & Newton, L. A. (1994) · Journal of Applied Psychology · doi:10.1037/0021-9010.79.6.971 · Cited by 103 · see citing works
Abbey, A., Andrews, F. M., & Halman, L. J. (1995) · Journal of Personality and Social Psychology · doi:10.1037/0022-3514.68.3.455 · Cited by 102 · see citing works
Miller, D. C., & Byrnes, J. P. (2001) · Journal of Educational Psychology · doi:10.1037/0022-0663.93.4.677 · Cited by 84 · see citing works
Gribbons, B. C., & Hocevar, D. (1998) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519809540113 · Cited by 82 · see citing works
Children's action-control beliefs and emotional regulation in the social domain.
Lopez, D. F., & Little, T. D. (1996) · Developmental Psychology · doi:10.1037/0012-1649.32.2.299 · Cited by 78 · see citing works
Role conflict and ambiguity of CEOs in international joint ventures: a transaction cost perspective.
Gong, Y.-P., Shenkar, O., Luo, Y.-D., & Nyaw, M. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.4.764 · Cited by 71 · see citing works
Lopez, F. G. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.4.440 · Cited by 69 · see citing works
Memory and Speed: Their Role in the Relation of Infant Information Processing to Later IQ
Rose, S. A., & Feldman, J. F. (1997) · Child Development · doi:10.2307/1132115 · Cited by 68 · see citing works
A closer look at the relationship between justice perceptions and union participation.
Fuller, J. B., & Hester, K. (2001) · Journal of Applied Psychology · doi:10.1037/0021-9010.86.6.1096 · Cited by 65 · see citing works
Appraisals and coping with workplace interpersonal stress: A model for women managers.
Portello, J. Y., & Long, B. C. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.2.144 · Cited by 45 · see citing works
Multidimensional family functioning: Predicting personal growth initiative.
Whittaker, A. E., & Robitschek, C. (2001) · Journal of Counseling Psychology · doi:10.1037/0022-0167.48.4.420 · Cited by 34 · see citing works
Widaman, K. F., Kw, G., & Dc, G. (1987) · PubMed · Cited by 30 · see citing works
To Parcel or Not to Parcel: The Effects of Item Parceling in Confirmatory Factor Analysis
Plummer, B. A. (2000) · doi:10.23860/diss-plummer-brett-2000 · Cited by 16 · see citing works
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Little, T. D., Rhemtulla, M., Gibson, K., & Schoemann, A. M. (2013) · Psychological Methods · doi:10.1037/a0033266 · Cited by 1,603 · see citing works
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- Authors
- Coffman, D. L., & MacCallum, R. C.
- Affiliations
- University of North Carolina at Chapel Hill (US)
- ORCID
- Coffman, Donna L.
- Venue
- Multivariate Behavioral Research
- Publisher
- Informa UK Limited
- Published
- 2005-04
- Volume
- 40
- Issue
- 2
- Pages
- 235-259
- ISSN
- 0027-3171 (ISSN-L)
- 1532-7906
- OpenAlex
- W2065353896
- Cited by
- 662
- References
- 57
- Citations by year
- 2026: 23 · 2025: 30 · 2024: 21 · 2023: 31 · 2022: 47 · 2021: 30 · 2020: 39 · 2019: 36 · 2018: 46 · 2017: 29 · 2016: 41 · 2015: 52 · 2014: 40 · 2013: 54 · 2012: 38
- FWCI
- 12.71
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Multivariate Behavioral Research (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Mental Health Research Topics
- Keywords
- path analysis, latent variable models, measurement error, measurement bias, scale scores, structural equation modeling
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