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Figure 3From “Measurement invariance before comparing English and German scores”

From translation version to comparison sentence

A comparison sentence should carry the instrument version, translation evidence, invariance result, sample, and remaining boundary.

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Figure 3From translation version to comparison sentence

A schematic mirror chart compares a translation record with a measurement release. Both retain the instrument version, translation evidence, factor structure, and sample context. The measurement release additionally requires loading or intercept testing and an explicit comparison sentence. Values are coded process-presence indicators, not study results.← Record fieldsRelease fields →VersionTranslationModelContextDecision1 coded presence1 coded presenceInstrument version1 coded presence1 coded presenceTranslation evidence1 coded presence1 coded presenceFactor structure0 coded presence1 coded presenceLoading or intercept test1 coded presence1 coded presenceSample and mode0 coded presence1 coded presenceComparison sentence

Source: Author's schematic framework grounded in Cieciuch et al. (2014), Klopp and Klößner (2023), and Prem et al. (2021). The sequence is a governance model, not a claim that every study follows these exact steps.

PNG4:3, 1600 × 1200, with the title, the source line and the attribution set in the image isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03.png

Source and evidence

Each line names a claim related to this exhibit, its source, and how it was checked.

  • 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
  • A PREM21-C5 The reported four-factor and scalar-invariance result is specific to the instrument and samples, with cross-sectional European limitations and a need for validation elsewhereprem-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.

From the essay

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APA 7

Isoglu, S. (2026). From translation version to comparison sentence [Figure]. isoglu.com. https://isoglu.com/insights/exhibits/isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03/

BibTeX
@misc{isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03,
  author = {Isoglu, Sinan},
  title = {{From translation version to comparison sentence}},
  year = {2026},
  howpublished = {Figure 3, isoglu.com},
  url = {https://isoglu.com/insights/exhibits/isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03/},
  note = {From the essay {Measurement invariance before comparing English and German scores}}
}
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<figure>
  <a href="https://isoglu.com/insights/exhibits/isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03/">
    <img src="https://isoglu.com/social/isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03.png" alt="Figure 3: From translation version to comparison sentence" width="3200" height="2400">
  </a>
  <figcaption>Figure 3: From translation version to comparison sentence. Source: Author&#39;s schematic framework grounded in Cieciuch et al. (2014), Klopp and Klößner (2023), and Prem et al. (2021). The sequence is a governance model, not a claim that every study follows these exact steps. <a href="https://isoglu.com/insights/exhibits/isoglu-2026-measurement-invariance-before-comparing-english-and-german-scores-fig03/">View exhibit</a>.</figcaption>
</figure>

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