Harmonizing measurements: establishing a common metric via shared items across instruments

Eekhout, Iris; Weber, Ann M.; van Buuren, Stef

doi:10.1186/s12963-024-00351-z

Population Health Metrics

Table 5 Overview of the difficulty estimates for the items in equate clusters with DIF test results

From: Harmonizing measurements: establishing a common metric via shared items across instruments

					Model without equate clusters	Model with equate clusters
Equate	Item	Instrument	Label	N	\({\delta }_{i}\)	\({\delta }_{q}\)	\({\delta }_{i}\)	\({\delta }_{q}-{\delta }_{i}\)	\({\eta }^{2}\)
EQ1	b3c36	Bayley3	Block Series: 1 Block	555	− 14.042	− 5.703	− 5.841	0.138	0.0025*
EQ1	df14	Denver	Put Block in Cup	254	− 12.462	− 5.703	− 5.612	− 0.091
EQ1	n32	DDI	Puts cube in and out of a box	3171	0.654	− 5.703	− 5.688	− 0.015
EQ2	df17	Denver	2 Blocks	514	− 6.882	− 0.371	− 0.386	0.015	0.0011
EQ2	n38	DDI	Tower of 2 cubes	2896	5.659	− 0.371	− 0.369	− 0.002
EQ3	b3f38	Bayley3	Block stacking Series: 6 blocks	1441	− 2.529	3.017	3.058	− 0.041	0.0019*
EQ3	n51	DDI	Tower of 6 cubes	1573	8.642	3.017	2.978	0.039
EQ4	apbs37	ASQ-I	copies caregiver by making bridge with blocks boxes or cans	139	0.576	7.035	6.755	0.280	0.0026
EQ4	b3f52	Bayley3	Builds bridge	977	1.440	7.035	7.070	− 0.035
EQ5	b3g35	Bayley3	Raises self to standing position	390	− 13.766	− 6.455	− 6.381	− 0.074	0.0044*
EQ5	dg12	Denver	Pull to Stand	149	− 14.128	− 6.455	− 6.450	− 0.005
EQ5	n29	DDI	Pulls up to standing position	3448	− 0.140	− 6.455	− 6.464	0.009
EQ6	b3g42	Bayley3	Walks Series: Alone	516	− 9.466	− 2.580	− 2.575	− 0.005	0.0080*
EQ6	n42	DDI	Walks alone	3338	3.506	− 2.580	− 2.580	0.000
EQ7	af33	ASQ-I	copies caregiver by drawing a circle	265	0.338	5.926	5.978	− 0.052	0.0007
EQ7	b3f43	Bayley3	Imitates Strokes Series: Circular	1719	0.167	5.926	5.918	0.008
EQ8	b3g26	Bayley3	Sits without Support Series: 30 s	281	− 17.935	− 8.815	− 9.648	0.833	0.0000
EQ8	dg10	Denver	Sit No Support	87	− 18.213	− 8.815	− 9.834	1.019
EQ8	n26	DDI	Sits in stable position without support	3528	− 2.184	− 8.815	− 8.756	− 0.059

N = number of observed responses; \({\delta }_{i}\)= Difficulty estimate of unconstraint item; \({\delta }_{q}\)= Difficulty estimate for equate cluster; \({\eta }^{2}\) = effect size for item in DIF test; * P-value for ANOVA F-test < 0.05

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ISSN: 1478-7954

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