Measuring health workers’ motivation composition: validation of a scale based on Self-Determination Theory in Burkina Faso

Table 9 Measurement invariance testing results

		Absolute model fit							Likelihood ratio test info and results
		χ ²	df	p	RMSEA	p RMSEA ≤.05	CFI	SRMR	#free parms	LR (with model above)	df	p (.05)
	Baseline model C	227	80	.000	.040	.996	.950	.033	–	–	–	–
Sex	Configural invariance	333	160	.000	.044	.994	.943	.041	110	–	–	–
	Metric invariance	344	170	.000	.042	.975	.943	.043	100	9.40	10	0.50
	Scalar invariance	386	180	.000	.045	.917	.932	.045	90	50.44	10	< 0.01
	Scalar invariance, partial	356	178	.000	.042	.983	.941	.044	92	11.19	8	0.19
	Residual variance invariance	369	191	.000	.040	.995	.941	.048	79	16.30	13	0.23
Seniority	Configural invariance	332	160	.000	.043	.950	.943	.039	110	–	–	–
	Metric invariance	342	170	.000	.042	.979	.943	.042	100	9.23	10	0.51
	Scalar invariance	350	180	.000	.041	.993	.944	.043	90	4.29	10	0.93
	Residual variance invariance	366	195	.000	.039	.998	.944	.052	75	19.39	15	0.20
Qualification level	Configural invariance	319	160	.000	.042	.980	.947	.039	110	–	–	–
	Metric invariance	338	170	.000	.042	.984	.945	.044	100	18.43	10	0.05
	Scalar invariance	371	180	.000	.043	.966	.937	.046	90	37.07	10	< 0.01
	Scalar invariance, partial	349	177	.000	.041	.989	.943	.045	93	9.26	7	0.25
	Residual variance invariance	363	192	.000	.040	.998	.944	.048	78	18.91	15	0.22

Legend: Interpretation of the absolute model fit indices [32]: Insignificant χ ² values indicate good model-data fit. However, due to a number of conceptual and statistical issues, χ ² is often significant even in the case of relatively good model fit. CFI values approaching .95 as well as RMSEA values of .05 or smaller and SRMR values of .05 and smaller are considered indicative of good model fit
Interpretation of the likelihood ratio test statistics: #free parms is the number of freely estimated model parameters; these are gradually restricted in the invariance testing process as parameters are forced to equality in the compared subgroups (see Table 5). LR (with above model and its degrees of freedom) is the χ ²-distributed test statistic of the rescaled likelihood ratio test. In each row, it refers to the difference in fit of the respective model and the next less restrained (i.e., above) model. Statistical insignificance indicates that the more restricted model fits similarly as the above less restricted model, i.e., that the added parameter equality restrictions for the compared sample subgroups do not substantially worsen model fit and that the scale can thus be considered measurement invariant for the compared groups at the respective level

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