2022
DOI: 10.31234/osf.io/8tq7p
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A Model and its Fit lie in the Eye of the Beholder: Long Live the Sum Score

Abstract: Researchers in Psychology, Education, and related fields are often unsure about whether they should use sum scores, or estimatesfrom latent variable models (e.g., factor analysis, item response theory) in their statistical analyses. I show throughargumentation that sum scores do not automatically imply any of these models and that researchers are free to use them if theybelieve that they have a good theoretical reason to do so.

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“…In considering a possible future applied scenario in which the MOTES item scores would be summed or averaged to produce a total score either for the entire MOTES or for a particular scale (Edelsbrunner, 2022; McNeish & Wolf, 2020), we calculated the internal consistency reliability via Cronbach’s alpha (Cronbach, 1951). The entire set of 24 items was highly reliable (α = .92, 95% confidence intervals [CI] [.91, .93]), and the three scales also reached satisfactory levels of internal consistency (uses = 0.81, 95% CI [.78, .84]; examples = 0.83, 95% CI [.80, .85]; sentences = 0.86, 95% CI [.84, .88]).…”
Section: Phase 5—internal and External Validation Of Motesmentioning
confidence: 99%
“…In considering a possible future applied scenario in which the MOTES item scores would be summed or averaged to produce a total score either for the entire MOTES or for a particular scale (Edelsbrunner, 2022; McNeish & Wolf, 2020), we calculated the internal consistency reliability via Cronbach’s alpha (Cronbach, 1951). The entire set of 24 items was highly reliable (α = .92, 95% confidence intervals [CI] [.91, .93]), and the three scales also reached satisfactory levels of internal consistency (uses = 0.81, 95% CI [.78, .84]; examples = 0.83, 95% CI [.80, .85]; sentences = 0.86, 95% CI [.84, .88]).…”
Section: Phase 5—internal and External Validation Of Motesmentioning
confidence: 99%