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The scales appeared to be measuring the underlying degree of CT ischaemic change consistently and reliably according to Cronbach's α: IST-3 versus 1/3 MCA (α = 0.95) and versus ASPECTS (α = 0.95) were similar to 1/3 MCA versus ASPECTS (α = 0.93).
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The internal consistency of the eight-item WCA was high across work groups, indicating that the individual items in the instrument are associated with each other and all appear to be measuring the same underlying construct.
If the correlation is high, there is evidence that the individual indicators are measuring the same underlying construct.
It is commonly accepted that an α > 0.7 indicates a good reliability that the items are measuring the same underlying construct.
Assuming an equal-variance model (i.e., σ Target = σ Foil = σ) the measure of theoretical discriminability is what is usually denoted d' and what we here denote d' m to underscore the fact that we are measuring the degree to which underlying memory signals overlap.
While the size of this correlation suggests they may be measuring a similar underlying construct, the informant discrepancy indicates that the children's behaviour reported at home and at school may be context or informant specific [ 100, 124].
The lack of fit to the Rasch model suggests the 50-item DREEM is not unidimensional and possibly not measuring the underlying a-priori construct of educational environment.
Examination of model fit can provide information about how justified it is to measure the underlying construct with the particular set of items chosen [ 19].
In alcohol epidemiology, cohorts that are used to measure the underlying risk relationships are usually selected to maximize the follow-up rate, and, thus, these cohorts are typically composed of special populations with comparatively few heavy and virtually no very heavy drinkers [ 20, 31, 32].
The 2006 ISAT had a grade adjusted scale, allowing students from 3rd through 8th grade to be measured on the same underlying scale [ 8].
An assumption of IRT is that the items are measuring a unidimensional underlying construct.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com