Table 1. Simulation results Construct...

Table 1.

Simulation results

Construct	Indicators^a	Correlation weights	Difference in indicators’ correlations weights^b	Percentage of CEI values above the 0.95 threshold (%)	Percentage of simulation runs where PLS-SEM weights offer superior predictions compared to equal weights (%)
Y₂	y_1,2	0.8	0	100	45.7
	y_4,2	0.8	0	100	48.0
	y_1,2	0.8	0.1	100	82.8
	y_4,2	0.7	0.1	100	84.4
	y_1,2	0.8	0.2	100	96.1
	y_4,2	0.6	0.2	100	96.3
	y_1,2	0.8	0.3	100	99.2
	y_4,2	0.5	0.3	100	98.5
	y_1,2	0.8	0.4	100	99.8
	y_4,2	0.4	0.4	100	98.6
	y_1,2	0.8	0.5	79.2	99.8
	y_4,2	0.3	0.5	79.2	97.8
	y_1,2	0.8	0.6	5.3	99.9
	y_4,2	0.2	0.6	5.3	97.3
Y₄	y_1,4	0.8	0	100	34.6
	y_4,4	0.8	0	100	34.0
	y_1,4	0.8	0.1	100	100
	y_4,4	0.7	0.1	100	99.4
	y_1,4	0.8	0.2	100	100
	y_4,4	0.6	0.2	100	100
	y_1,4	0.8	0.3	100	100
	y_4,4	0.5	0.3	100	100
	y_1,4	0.8	0.4	100	100
	y_4,4	0.4	0.4	100	100
	y_1,4	0.8	0.5	85.2	100
	y_4,4	0.3	0.5	85.2	100
	y_1,4	0.8	0.6	2.6	100
	y_4,4	0.2	0.6	2.6	99.9

Construct	Indicators^a	Correlation weights	Difference in indicators’ correlations weights^b	Percentage of CEI values above the 0.95 threshold (%)	Percentage of simulation runs where PLS-SEM weights offer superior predictions compared to equal weights (%)
Y₂	y_1,2	0.8	0	100	45.7
	y_4,2	0.8	0	100	48.0
	y_1,2	0.8	0.1	100	82.8
	y_4,2	0.7	0.1	100	84.4
	y_1,2	0.8	0.2	100	96.1
	y_4,2	0.6	0.2	100	96.3
	y_1,2	0.8	0.3	100	99.2
	y_4,2	0.5	0.3	100	98.5
	y_1,2	0.8	0.4	100	99.8
	y_4,2	0.4	0.4	100	98.6
	y_1,2	0.8	0.5	79.2	99.8
	y_4,2	0.3	0.5	79.2	97.8
	y_1,2	0.8	0.6	5.3	99.9
	y_4,2	0.2	0.6	5.3	97.3
Y₄	y_1,4	0.8	0	100	34.6
	y_4,4	0.8	0	100	34.0
	y_1,4	0.8	0.1	100	100
	y_4,4	0.7	0.1	100	99.4
	y_1,4	0.8	0.2	100	100
	y_4,4	0.6	0.2	100	100
	y_1,4	0.8	0.3	100	100
	y_4,4	0.5	0.3	100	100
	y_1,4	0.8	0.4	100	100
	y_4,4	0.4	0.4	100	100
	y_1,4	0.8	0.5	85.2	100
	y_4,4	0.3	0.5	85.2	100
	y_1,4	0.8	0.6	2.6	100
	y_4,4	0.2	0.6	2.6	99.9

Notes:

^aWe report the results of indicators 1 and 4 in this table; the results of indicator 2 are similar to those of indicator 1 and the results of indicator 3 are similar to those of indicator 4. ^bThe correlation weights of indicators 1 and 2 are fixed at 0.8. The correlation weights of indicators 3 and 4 systematically obtain lower values so that the difference of these indicators increases. The column shows the difference between the correlation weights of indicators 1 and 2 and indicators 3 and 4 per composite

Source: Authors’ own work

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