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- Publisher Website: 10.1111/insr.12070
- Scopus: eid_2-s2.0-84938064675
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Article: On Pooling of Data and Its Relative Efficiency
Title | On Pooling of Data and Its Relative Efficiency |
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Authors | |
Keywords | Asymptotic Relative Efficiency Case–Control Study Gaussian Estimation Haplotype Frequency Estimation Interaction Between Genes Lattice Theory Non‐Parametric Maximum Likelihood |
Issue Date | 2015 |
Publisher | International Statistical Institute. The Journal's web site is located at http://www.cbs.nl/isi/isr.htm |
Citation | International Statistical Review, 2015, v. 83, p. 309-323 How to Cite? |
Abstract | Pooling of data is often carried out to protect privacy or to save cost, with the claimed advantage that it does not lead to much loss of efficiency. We argue that this does not give the complete picture as the estimation of different parameters is affected to different degrees by pooling. We establish a ladder of efficiency loss for estimating the mean, variance, skewness and kurtosis, and more generally multivariate joint cumulants, in powers of the pool size. The asymptotic efficiency of the pooled data non‐parametric/parametric maximum likelihood estimator relative to the corresponding unpooled data estimator is reduced by a factor equal to the pool size whenever the order of the cumulant to be estimated is increased by one. The implications of this result are demonstrated in case–control genetic association studies with interactions between genes. Our findings provide a guideline for the discriminate use of data pooling in practice and the assessment of its relative efficiency. As exact maximum likelihood estimates are difficult to obtain if the pool size is large, we address briefly how to obtain computationally efficient estimates from pooled data and suggest Gaussian estimation and non‐parametric maximum likelihood as two feasible methods. |
Persistent Identifier | http://hdl.handle.net/10722/221683 |
ISSN | 2015 Impact Factor: 1.789 2015 SCImago Journal Rankings: 1.216 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xu, J | - |
dc.contributor.author | Kuk, A | - |
dc.date.accessioned | 2015-12-04T15:29:05Z | - |
dc.date.available | 2015-12-04T15:29:05Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | International Statistical Review, 2015, v. 83, p. 309-323 | - |
dc.identifier.issn | 0306-7734 | - |
dc.identifier.uri | http://hdl.handle.net/10722/221683 | - |
dc.description.abstract | Pooling of data is often carried out to protect privacy or to save cost, with the claimed advantage that it does not lead to much loss of efficiency. We argue that this does not give the complete picture as the estimation of different parameters is affected to different degrees by pooling. We establish a ladder of efficiency loss for estimating the mean, variance, skewness and kurtosis, and more generally multivariate joint cumulants, in powers of the pool size. The asymptotic efficiency of the pooled data non‐parametric/parametric maximum likelihood estimator relative to the corresponding unpooled data estimator is reduced by a factor equal to the pool size whenever the order of the cumulant to be estimated is increased by one. The implications of this result are demonstrated in case–control genetic association studies with interactions between genes. Our findings provide a guideline for the discriminate use of data pooling in practice and the assessment of its relative efficiency. As exact maximum likelihood estimates are difficult to obtain if the pool size is large, we address briefly how to obtain computationally efficient estimates from pooled data and suggest Gaussian estimation and non‐parametric maximum likelihood as two feasible methods. | - |
dc.language | eng | - |
dc.publisher | International Statistical Institute. The Journal's web site is located at http://www.cbs.nl/isi/isr.htm | - |
dc.relation.ispartof | International Statistical Review | - |
dc.subject | Asymptotic Relative Efficiency | - |
dc.subject | Case–Control Study | - |
dc.subject | Gaussian Estimation | - |
dc.subject | Haplotype Frequency Estimation | - |
dc.subject | Interaction Between Genes | - |
dc.subject | Lattice Theory | - |
dc.subject | Non‐Parametric Maximum Likelihood | - |
dc.title | On Pooling of Data and Its Relative Efficiency | - |
dc.type | Article | - |
dc.identifier.email | Xu, J: xujf@hku.hk | - |
dc.identifier.authority | Xu, J=rp02086 | - |
dc.identifier.doi | 10.1111/insr.12070 | - |
dc.identifier.scopus | eid_2-s2.0-84938064675 | - |
dc.identifier.volume | 83 | - |
dc.identifier.spage | 309 | - |
dc.identifier.epage | 323 | - |
dc.identifier.isi | WOS:000358789300013 | - |