Figure 1From “Measurement invariance before comparing English and German scores”
The bilingual measurement-release gate
Match the intended English-German comparison to the factor evidence, sample, method, and limitation before release.
Figure 1The bilingual measurement-release gate
Source: Author's release worksheet grounded in Cieciuch et al. (2014), Klopp and Klößner (2023), and Prem et al. (2021). Blank fields are reader inputs; no instrument, participant, or score data is supplied.

Source and evidence
Each line names a claim related to this exhibit, its source, and how it was checked.
- A CDAS14-C1 Measurement invariance concerns whether the same construct is measured in the same way across groups; metric and scalar invariance license different comparisonscieciuch-davidov-2014-exact-approximate-measurement-invariance
- A CDAS14-C2 Configural invariance fixes the loading pattern, metric invariance constrains loadings, and scalar invariance additionally constrains indicator interceptscieciuch-davidov-2014-exact-approximate-measurement-invariance
- A CDAS14-C3 Establishing invariance in one study does not make an instrument permanently invariant; it should be tested again across groupscieciuch-davidov-2014-exact-approximate-measurement-invariance
- A KK23-C2 In a metric model, scaling restrictions needed for identification must be distinguished from the equality conditions being tested, which is why the paper can show that "it is impossible to test the invariance of the estimated loading of exactly one indicator, because metric MI models aimed at doing so are actually equivalent to the configural model"klopp-klossner-2023-metric-measurement-invariance
- A KK23-C3 When scaling restrictions are placed in one group only, key fit quantities do not depend on the scaling choice: "neither the choice of the scaling method in general nor the choice of a particular referent indicator affects the value of the discrepancy function", under the rule "Apply the scaling restriction in one group only!"klopp-klossner-2023-metric-measurement-invariance
- A PREM21-C2 The researchers translated the German CODE scale into English using native speakers in both languages and a back-translation methodprem-et-al-2021-english-german-code-scale
- A PREM21-C3 The German and English samples were tested sequentially for configural, metric, and scalar invariance, with subscale means treated as comparable under the reported scalar modelprem-et-al-2021-english-german-code-scale
Grades: A, verified against the printed page of the primary source · B, primary source, text layer only · C, authoritative secondary · D, reported.
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Measurement invariance before comparing English and German scores
A translated scale is not automatically comparable: configural, metric, and scalar invariance license different cross-language claims.
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Figure 3Figure
From translation version to comparison sentence
Measurement invariance before comparing English and German scores

Figure 2Figure
What each invariance result licenses
Measurement invariance before comparing English and German scores

Figure 1Figure
The staggered DiD estimand release gate
Staggered difference-in-differences needs a cohort-time estimand
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