Evidence map›Paper›PMID 36394821›Full record

ReviewBehavior research methods2023

Psychometric properties of sum scores and factor scores differ even when their correlation is 0.98: A response to Widaman and Revelle.

Daniel McNeish

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In one paragraph

Review in Behavior research methods, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.

0numbers the graph read from it
0cells of the map it votes in
23citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

23 citing papers in PubMed.

  1. Trial
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  4. Article
  5. Factor Scores in Small Samples: Recommendations and Solutions.Educational and psychological measurement · 2026
    Article
  6. Identifying Neurodevelopmental Domain Subgroups in Autism and ADHD.Journal of autism and developmental disorders · 2026
    Article
  7. Article
  8. Article
  9. Article
  10. Article
  11. Article
  12. Article
  13. Article
  14. Deriving Expected Values of Model Parameters when Using Sum Scores in Simulation Research.Structural equation modeling : a multidisciplinary journal · 2025
    Article
  15. Article
  16. Article
  17. Article
  18. The Hidden Psychometric Model Underlying thePsychiatric services (Washington, D.C.) · 2024
    Article
  19. Article
  20. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

1 author.

Daniel McNeishDepartment of Psychology, Arizona State University, PO Box 871104, Tempe, AZ, 85287, USA. dmcneish@asu.edu.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Commentary in Widaman and Revelle (2022) argued that sum scoring is justified as long as unidimensionality holds because sum score reliability is defined. My response begins with a review of the literature supporting the perspective we adopted in the original article. I then conduct simulation studies to assess the psychometric properties of sum scores created using Widaman and Revelle's justification relative to scores created by the weighted factor score approach in the original article. In my simulations, I generate data where sum and factor scores are correlated at 0.96 or 0.98 because high factor-sum score correlations are often used to support the contention that sum and factor scores have interchangeable psychometric properties. I explore (a) correlations between estimated scores and true scores, (b) classification accuracy of sum and factor scores, and (c) reliability of sum and factor scores. Results show that factor scores have (a) higher correlations with true scores (Δ = 0.02-0.04), (b) higher sensitivity (Δ = 4-8 percentage points), and (c) higher reliability (Δ = 0.04-0.07). Factor score performance metrics also have less sampling variability in most conditions. Psychometric properties of sum scores-even when highly correlated with factor scores-remain less desirable than those of factor scores. Additional considerations like models with multiple factors and measurement invariance are also discussed. Essentially, even if accepting Widaman and Revelle's justification for sum scoring, it is uncertain whether researchers generally would want to sum score after fitting a factor analysis unless sum and factor scores correlate at (and not merely close to) 1.00.

Indexed as

PsychometricsFactor Analysis, StatisticalHumansReproducibility of ResultsSurveys and QuestionnairesPsychometricsScale scoresSum scoresValidity

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.