2021
DOI: 10.31234/osf.io/fbshu
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Measurement Invariance Violation Indices (MIVIs): Effect sizes for (partial) non-invariance of items and item sets

Abstract: When scalar invariance does not hold, which is often the case in application scenarios, the amount of non-invariance bias may either be consequential for observed mean comparisons or not. So far, only a few attempts have been made to quantify the extent of bias due to measurement non-invariance. Building on Millsap and Olivera-Aguilar (2012), we derived a new effect size measure, called Measurement Invariance Violation Index (MIVI), from first principles. MIVI merely assumes partial scalar invariance for a set… Show more

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Cited by 2 publications
(2 citation statements)
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“…If noninvariance is detected in any phase of measurement invariance testing, the researcher should stop the analysis and determine the issues of noninvariance or accept that the constructs are noninvariant and discontinue the analysis of measurement invariance and also abandon the interpretation of group differences (Putnick & Bornstein, 2016). Another possible step may lie in an analysis of the practical effect size of such noninvariance (e.g., with dMACS effect size, see Nye et al, 2019; or with MIVI effect size, see Groskurth et al, 2021).…”
Section: Measurement Invariancementioning
confidence: 99%
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“…If noninvariance is detected in any phase of measurement invariance testing, the researcher should stop the analysis and determine the issues of noninvariance or accept that the constructs are noninvariant and discontinue the analysis of measurement invariance and also abandon the interpretation of group differences (Putnick & Bornstein, 2016). Another possible step may lie in an analysis of the practical effect size of such noninvariance (e.g., with dMACS effect size, see Nye et al, 2019; or with MIVI effect size, see Groskurth et al, 2021).…”
Section: Measurement Invariancementioning
confidence: 99%
“…Another possible step may lie in an analysis of the practical effect size of such noninvariance (e.g. with d MACS effect size, see Nye et al, 2019; or with MIVI effect size, see Groskurth et al, 2021). Unfortunately, in the literature there is no generally accepted consensus on what to do next when measurement invariance fails (Millsap, 2011).…”
Section: Measurement Invariancementioning
confidence: 99%