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Standard errors are computed using 500 nonparametric bootstrap replications.

Note that the standard errors are computed as square root of diagonal elements of covariance matrix.

Furthermore, because of the complex sample design in PIAAC, the standard errors are computed using the replication method.

Throughout the analysis standard errors are computed by clustering on PMSA of residence using the Huber-White sandwich estimator.

To evaluate and compare the performances of the range-free localization algorithms, the distance and location estimation errors are computed.

Standard errors are computed using the delta method and take into account the variability induced by stochastic regressors.

The rotation and translation errors were computed using similar expressions to those introduced in Section 5.3.

For comparison of treatment means, standard errors were computed using SPSS (16.0) and Microsoft Excel programme.

In all analysis sampling weights were used and robust standard errors were computed accounting for clustering of students in classrooms.

Standard errors were computed using 500 bootstrap replicates.

Standard errors were computed using the nonparametric bootstrap as above.