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Score-based tests of measurement invariance: use in practice

Overview of attention for article published in Frontiers in Psychology, May 2014
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  • Above-average Attention Score compared to outputs of the same age (54th percentile)
  • Above-average Attention Score compared to outputs of the same age and source (51st percentile)

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Title
Score-based tests of measurement invariance: use in practice
Published in
Frontiers in Psychology, May 2014
DOI 10.3389/fpsyg.2014.00438
Pubmed ID
Authors

Ting Wang, Edgar C. Merkle, Achim Zeileis

Abstract

In this paper, we consider a family of recently-proposed measurement invariance tests that are based on the scores of a fitted model. This family can be used to test for measurement invariance w.r.t. a continuous auxiliary variable, without pre-specification of subgroups. Moreover, the family can be used when one wishes to test for measurement invariance w.r.t. an ordinal auxiliary variable, yielding test statistics that are sensitive to violations that are monotonically related to the ordinal variable (and less sensitive to non-monotonic violations). The paper is specifically aimed at potential users of the tests who may wish to know (1) how the tests can be employed for their data, and (2) whether the tests can accurately identify specific models parameters that violate measurement invariance (possibly in the presence of model misspecification). After providing an overview of the tests, we illustrate their general use via the R packages lavaan and strucchange. We then describe two novel simulations that provide evidence of the tests' practical abilities. As a whole, the paper provides researchers with the tools and knowledge needed to apply these tests to general measurement invariance scenarios.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 25 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 25 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 12 48%
Student > Doctoral Student 5 20%
Professor > Associate Professor 2 8%
Researcher 2 8%
Student > Bachelor 1 4%
Other 1 4%
Unknown 2 8%
Readers by discipline Count As %
Psychology 11 44%
Social Sciences 5 20%
Business, Management and Accounting 4 16%
Agricultural and Biological Sciences 2 8%
Economics, Econometrics and Finance 1 4%
Other 1 4%
Unknown 1 4%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 20 January 2015.
All research outputs
#12,706,253
of 22,756,196 outputs
Outputs from Frontiers in Psychology
#11,394
of 29,666 outputs
Outputs of similar age
#103,253
of 226,629 outputs
Outputs of similar age from Frontiers in Psychology
#165
of 357 outputs
Altmetric has tracked 22,756,196 research outputs across all sources so far. This one is in the 43rd percentile – i.e., 43% of other outputs scored the same or lower than it.
So far Altmetric has tracked 29,666 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 12.5. This one has gotten more attention than average, scoring higher than 60% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 226,629 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 54% of its contemporaries.
We're also able to compare this research output to 357 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 51% of its contemporaries.