%0 Journal Article %1 joyce2008approximately %A Joyce, Paul %A Marjoram, Paul %D 2008 %J Statistical Applications in Genetics and Molecular Biology %K ABC methods sufficient_statistics %N 1 %R doi:10.2202/1544-6115.1389 %T Approximately Sufficient Statistics and Bayesian Computation %U https://doi.org/10.2202/1544-6115.1389 %V 7 %X The analysis of high-dimensional data sets is often forced to rely upon well-chosen summary statistics. A systematic approach to choosing such statistics, which is based upon a sound theoretical framework, is currently lacking. In this paper we develop a sequential scheme for scoring statistics according to whether their inclusion in the analysis will substantially improve the quality of inference. Our method can be applied to high-dimensional data sets for which exact likelihood equations are not possible. We illustrate the potential of our approach with a series of examples drawn from genetics. In summary, in a context in which well-chosen summary statistics are of high importance, we attempt to put the `well' into `chosen.'

@article{joyce2008approximately, abstract = {The analysis of high-dimensional data sets is often forced to rely upon well-chosen summary statistics. A systematic approach to choosing such statistics, which is based upon a sound theoretical framework, is currently lacking. In this paper we develop a sequential scheme for scoring statistics according to whether their inclusion in the analysis will substantially improve the quality of inference. Our method can be applied to high-dimensional data sets for which exact likelihood equations are not possible. We illustrate the potential of our approach with a series of examples drawn from genetics. In summary, in a context in which well-chosen summary statistics are of high importance, we attempt to put the `well' into `chosen.'}, added-at = {2022-02-26T20:08:58.000+0100}, author = {Joyce, Paul and Marjoram, Paul}, biburl = {https://www.bibsonomy.org/bibtex/21f43d614f9fb2ac4e2dac17c25dfe642/peter.ralph}, doi = {doi:10.2202/1544-6115.1389}, interhash = {4910f62306d6017f08a1b105d08f2e52}, intrahash = {1f43d614f9fb2ac4e2dac17c25dfe642}, journal = {Statistical Applications in Genetics and Molecular Biology}, keywords = {ABC methods sufficient_statistics}, number = 1, timestamp = {2022-02-26T20:08:58.000+0100}, title = {Approximately Sufficient Statistics and {Bayesian} Computation}, url = {https://doi.org/10.2202/1544-6115.1389}, volume = 7, year = 2008 }