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. Author manuscript; available in PMC: 2017 Jun 11.
Published in final edited form as: J Surv Stat Methodol. 2016 Oct 7;4(4):501–524. doi: 10.1093/jssam/smw021

Table 3.

Equivalence testing of the CES-D and thresholds for interviewer and Web. Highlighted model is significantly worse than the previous one.

Model χ2 df Δχ2 p-value AIC Constraints
Configural 3308.315 1446 77554 Structure;
Interviewer metric equivalence 3315.851 1454 4.04 0.85 77542 Loadings: FTF & TEL;
Full metric equivalence 3357.293 1463 5.03 0.83 77531 Loadings: FTF, TEL & Web;
Interviewer scalar equivalence 3355.668 1472 6.18 0.72 77519 Loadings: FTF, TEL & Web, Thresholds: FTF & TEL;
Full scalar equivalence 3379.57 1478 99.39 0.00 77602 Loadings: FTF, TEL & Web, Thresholds: FTF, TEL & Web;
Partial scalar equivalence 3335.13 1473 1.81 0.40 77517 Loadings: FTF, TEL & Web, Part. thresholds: FTF, TEL & Web;
Threshold Interviewer Web
Depressed (neg) 6.58 5.62
Effort (neg) 3.50 3.25
Sleep (neg) 1.39 1.30
Happy (poz) −4.54 −3.93
Lonely (neg) 3.39 3.13
Life (poz) −6.54 −5.07
Sad (neg) 3.73 3.64
Not get going (neg) 3.11 2.76
Energy (poz) −0.59 −0.39