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Table 1 Criteria for good measurement properties

From: Quality of measurement properties of medication adherence instruments in cardiovascular diseases and type 2 diabetes mellitus: a systematic review and meta-analysis

Measurement property

Rating

Criteria

Structural validity

 + 

CTT:

CFA: CFI or TLI or comparable measure > 0.95 OR RMSEA < 0.06 OR SRMR < 0.08

IRT/Rasch:

No violation of unidimensionality: CFI or TLI or comparable measure > 0.95 OR RMSEA < 0.06

OR SRMR < 0.08

AND

no violation of local independence: residual correlations among the items after controlling for the

dominant factor < 0.20 OR Q3's < 0.37

AND

no violation of monotonicity: adequate looking graphs OR item scalability > 0.30

AND

adequate model fit

IRT: χ2 > 0.001

Rasch: infit and outfit mean squares ≥ 0.5 and ≤ 1.5 OR Z-standardized values >  − 2 and < 2

?

CTT: not all information for ' + ' reported

IRT/Rasch: model fit not reported

-

Criteria for ' + ' not met

Internal consistency

 + 

At least low evidence for sufficient structural validity AND Cronbach's alpha(s) ≥ 0.70 for each unidimensional scale or subscale

?

Criteria for “At least low evidence for sufficient structural validity” not met

-

At least low evidence for sufficient structural validity AND Cronbach's alpha(s) < 0.70 for each unidimensional scale or subscale

Reliability

 + 

ICC or weighted Kappa ≥ 0.70

?

ICC or weighted Kappa not reported

-

ICC or weighted Kappa < 0.70

Measurement error

 + 

SDC or LoA < MIC

?

MIC not defined

-

SDC or LoA > MIC

Hypotheses testing for construct validity

 + 

The result is in accordance with the hypothesis

?

No hypothesis defined (by the review team)

-

The result is not in accordance with the hypothesis

Cross-cultural validity\measurement invariance

 + 

No important differences found between group factors (such as age, gender, language) in multiple group factor analysis OR no important DIF for group factors (McFadden's R2 < 0.02)

?

No multiple group factor analysis OR DIF analysis performed

-

Important differences between group factors OR DIF was found

Criterion validity

 + 

Correlation with gold standard ≥ 0.70 OR AUC ≥ 0.70

?

Not all information for ' + ' reported

-

Correlation with gold standard < 0.70 OR AUC < 0.70

Responsiveness

 + 

The result is in accordance with the hypothesis OR AUC ≥ 0.70

?

No hypothesis defined (by the review team)

-

The result is not in accordance with the hypothesis OR AUC < 0.70

  1. Source: Extracted from Prinsen et al., 2018 [13], p. 1152
  2. AUC area under the curve, CFA confirmatory factor analysis, CFI comparative fit index, CTT classical test theory, DIF differential item functioning, ICC intraclass correlation coefficient, IRT item response theory, LoA limits of agreement, MIC minimal important change, RMSEA root mean square error of approximation, SEM standard error of measurement, SDC smallest detectable change, SRMR standardized root mean residuals, TLI Tucker–Lewis index; “ + ” = sufficient; “ − ” = insufficient; “?” = indeterminate