Table 3.

Sparse solution, large measurement error.

Scenarios	Method	Median of squared error						Variable selection
		W1b	W2b	W3b	W4b	W5b	All Predictorsc	True Positive (mean)	False Positive (mean)
No validation dataa	Uncorrected	0.303	0.306	0.303	0.307	0.304	1.537	5	13.897
Scenario 3:	Uncorrected	0.277	0.306	0.303	0.307	0.303	1.507	5	14.159
1 corrected, 10%	Corrected	0.042	0.370	0.365	0.371	0.365	1.525	5	0.76
Scenario 3:	Uncorrected	0.277	0.279	0.302	0.306	0.302	1.479	5	14.397
2 corrected, 10%	Corrected	0.086	0.090	0.426	0.429	0.424	1.474	5	0.034
Scenario 3:	Uncorrected	0.277	0.280	0.277	0.307	0.303	1.452	5	14.085
3 corrected, 10%	Corrected	0.107	0.110	0.114	0.450	0.450	1.272	5	0.002
Scenario 3:	Uncorrected	0.276	0.279	0.276	0.280	0.303	1.423	5	14.302
4 corrected, 10%	Corrected	0.113	0.115	0.116	0.116	0.457	0.999	5	0
Scenario 3:	Uncorrected	0.275	0.278	0.276	0.279	0.276	1.398	5	14.337
5 corrected, 10%	Corrected	0.114	0.113	0.116	0.116	0.116	0.694	4.999	0
Scenario 4:	Uncorrected	0.250	0.305	0.304	0.305	0.303	1.478	5	14.05
1 corrected, 20%	Corrected	0.035	0.356	0.354	0.355	0.353	1.464	5	0.877
Scenario 4:	Uncorrected	0.249	0.252	0.301	0.304	0.303	1.422	5	14.179
2 corrected, 20%	Corrected	0.077	0.078	0.410	0.415	0.414	1.407	5	0.015
Scenario 4:	Uncorrected	0.247	0.251	0.250	0.304	0.302	1.360	5	14.359
3 corrected, 20%	Corrected	0.150	0.108	0.104	0.445	0.445	1.222	5	0
Scenario 4:	Uncorrected	0.247	0.251	0.247	0.250	0.301	1.304	5	14.679
4 corrected, 20%	Corrected	0.113	0.117	0.118	0.113	0.456	0.965	5	0
Scenario 4:	Uncorrected	0.246	0.250	0.246	0.249	0.247	1.245	5	14.877
5 corrected, 20%	Corrected	0.118	0.122	0.120	0.114	0.115	0.636	5	0

^aThe first row shows results for the error-prone model without validation data. This would represent the model with only multiplex data.

^bThe covariates W₁–W₅ include validation data and represent the five of 100 covariates that may be corrected. These columns show the bias (MSE) for each of the individual estimates.

^cThis column represents the MSE for all 100 covariates.