Volume 3, Issue 1

THE COMBINATION OF PROBABILITIES: AN APPLICATION OF ORTHONORMAL FUNCTIONS

H. O. Lancaster

Department of Mathematical Statistics, University of Sydney

Search for more papers by this author
First published: April 1961
Citations: 46
First page image

Number of times cited according to CrossRef: 46

  • Parametric and Non-Parametric Tests for the Comparison of Two Samples Which Both Include Paired and Unpaired Observations, Journal of Modern Applied Statistical Methods, 10.22237/jmasm/1556669520, 18, 1, (2-23), (2020).
  • Seroprevalence and Clinical Outcomes of Neospora caninum, Toxoplasma gondii and Besnoitia besnoiti Infections in Water Buffaloes (Bubalus bubalis), Animals, 10.3390/ani10030532, 10, 3, (532), (2020).
  • Gene‐based sequential burden association test, Statistics in Medicine, 10.1002/sim.8111, 38, 13, (2353-2363), (2019).
  • A parametric meta‐analysis, Statistics in Medicine, 10.1002/sim.8278, 38, 21, (4013-4025), (2019).
  • Combining CDKN1A gene expression and genome-wide SNPs in a twin cohort to gain insight into the heritability of individual radiosensitivity, Functional & Integrative Genomics, 10.1007/s10142-019-00658-3, (2019).
  • A method for combining p -values in meta-analysis by gamma distributions , Journal of Applied Statistics, 10.1080/02664763.2018.1474857, 46, 2, (247-261), (2018).
  • Gene-level differential analysis at transcript-level resolution, Genome Biology, 10.1186/s13059-018-1419-z, 19, 1, (2018).
  • Genetic association test based on principal component analysis, Statistical Applications in Genetics and Molecular Biology, 10.1515/sagmb-2016-0061, 16, 3, (2017).
  • Non‐parametric combination and related permutation tests for neuroimaging, Human Brain Mapping, 10.1002/hbm.23115, 37, 4, (1486-1511), (2016).
  • Genome-Wide Association Study in Immunocompetent Patients with Delayed Hypersensitivity to Sulfonamide Antimicrobials, PLOS ONE, 10.1371/journal.pone.0156000, 11, 6, (e0156000), (2016).
  • Statistical Integration of p-values for Enhancing Discovery of Radiotoxicity Gene Signatures, Bioinformatics and Biomedical Engineering, 10.1007/978-3-319-16483-0_49, (503-513), (2015).
  • Detecting associated single-nucleotide polymorphisms on the X chromosome in case control genome-wide association studies, Statistical Methods in Medical Research, 10.1177/0962280214551815, 26, 2, (567-582), (2014).
  • Conformal predictions for information fusion, Annals of Mathematics and Artificial Intelligence, 10.1007/s10472-013-9392-4, 74, 1-2, (45-65), (2014).
  • On the optimally weighted z-test for combining probabilities from independent studies, Computational Statistics & Data Analysis, 10.1016/j.csda.2013.09.005, 70, (387-394), (2014).
  • A new statistical approach to combining p-values using gamma distribution and its application to genome-wide association study, BMC Bioinformatics, 10.1186/1471-2105-15-S17-S3, 15, S17, (2014).
  • Meta-analysis based on weighted ordered P-values for genomic data with heterogeneity, BMC Bioinformatics, 10.1186/1471-2105-15-226, 15, 1, (2014).
  • Post-GWAS Analyses, Design, Analysis, and Interpretation of Genome-Wide Association Scans, 10.1007/978-1-4614-9443-0_8, (285-327), (2014).
  • ‐Values, Combination of, Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (2014).
  • Accuracy Evaluation of the Unified P-Value from Combining Correlated P-Values, PLoS ONE, 10.1371/journal.pone.0091225, 9, 3, (e91225), (2014).
  • Comments on ‘Choosing an optimal method to combine p‐values’ by Sungho Won, Nathan Morris, Qing Lu and Robert C. Elston, Statistics in Medicine 2009; 28:1537–1553, Statistics in Medicine, 10.1002/sim.4222, 30, 24, (2959-2961), (2011).
  • Authors' reply, Statistics in Medicine, 10.1002/sim.4347, 30, 24, (2962-2964), (2011).
  • Is the weighted z‐test the best method for combining probabilities from independent tests?, Journal of Evolutionary Biology, 10.1111/j.1420-9101.2010.02226.x, 24, 4, (926-930), (2011).
  • Combining Independent, Weighted P-Values: Achieving Computational Stability by a Systematic Expansion with Controllable Accuracy, PLoS ONE, 10.1371/journal.pone.0022647, 6, 8, (e22647), (2011).
  • Choosing an optimal method to combine P‐values, Statistics in Medicine, 10.1002/sim.3569, 28, 11, (1537-1553), (2009).
  • Testing Marginal Homogeneity Against Stochastic Order in Multivariate Ordinal Data, Biometrics, 10.1111/j.1541-0420.2008.01067.x, 65, 2, (452-462), (2008).
  • DISPERSION CONTROL FOR MULTIVARIATE PROCESSES, Australian Journal of Statistics, 10.1111/j.1467-842X.1996.tb00680.x, 38, 3, (235-251), (2008).
  • BIBLIOGRAPHY OF H. O. LANCASTER1, Australian Journal of Statistics, 10.1111/j.1467-842X.1979.tb01138.x, 21, 3, (188-192), (2008).
  • Combining p‐values in large‐scale genomics experiments, Pharmaceutical Statistics, 10.1002/pst.304, 6, 3, (217-226), (2007).
  • A Note on Lancaster's Procedure for the Combination of Independent Events, Biometrical Journal, 10.1002/bimj.4710380603, 38, 6, (653-660), (2007).
  • The weighted compounding of probabilities from three independent hypothesis tests, Communications in Statistics - Theory and Methods, 10.1080/03610928508828968, 14, 5, (1163-1174), (2007).
  • Flexible Designs by Adaptive Plans of Generalized Pocock‐ and O'Brien‐Fleming‐Type and by Self‐Designing Clinical Trials, Biometrical Journal, 10.1002/bimj.200510212, 48, 4, (521-536), (2006).
  • A systematic comparison of methods for combining p-values from independent tests, Computational Statistics & Data Analysis, 10.1016/j.csda.2003.11.020, 47, 3, (467-485), (2004).
  • ‐Values, Combination of, Encyclopedia of Statistical Sciences, 10.1002/0471667196, (2004).
  • Combining Brains: A Survey of Methods for Statistical Pooling of Information, NeuroImage, 10.1006/nimg.2002.1107, 16, 2, (538-550), (2002).
  • USE OF STONE'S METHOD IN STUDIES OF DISEASE RISK AROUND POINT SOURCES OF ENVIRONMENTAL POLLUTION, Statistics in Medicine, 10.1002/(SICI)1097-0258(19960930)15:18<1927::AID-SIM405>3.0.CO;2-G, 15, 18, (1927-1934), (1998).
  • Asymptotic evaluation of weighted nonparametric combination procedures, Journal of Statistical Computation and Simulation, 10.1080/00949659608811763, 55, 3, (213-237), (1996).
  • On improving omnibus tests in metaanalysis using vote counts, Communications in Statistics - Simulation and Computation, 10.1080/03610919408813200, 23, 3, (803-812), (1994).
  • Transformation of BALB/c-3T3 cells: IV. Rank-ordered potency of 24 chemical responses detected in a sensitive new assay procedure., Environmental Health Perspectives, 10.1289/ehp.93101s2319, 101, suppl 2, (319-345), (1993).
  • Transformation of BALB/c-3T3 cells: II. Investigation of experimental parameters that influence detection of benzo[a]pyrene-induced transformation., Environmental Health Perspectives, 10.1289/ehp.93101s2293, 101, suppl 2, (293-310), (1993).
  • Letters to the Editor, The American Statistician, 10.1080/00031305.1990.10475753, 44, 4, (327-330), (1990).
  • Some Simple Optimal Tests in Multivariate Analysis, Advances in Multivariate Statistical Analysis, 10.1007/978-94-017-0653-7, (253-275), (1987).
  • References, Statistical Methods for Meta-Analysis, 10.1016/B978-0-08-057065-5.50022-1, (347-359), (1985).
  • 6 Combination of independent tests, Nonparametric Methods, 10.1016/S0169-7161(84)04008-6, (113-121), (1984).
  • Orthogonal Models for Contingency Tables, , 10.1016/B978-0-12-426603-2.50008-7, (99-157), (1980).
  • Asymptotically Optimal Methods of Combining Tests, Journal of the American Statistical Association, 10.1080/01621459.1979.10481035, 74, 368, (812-814), (1979).
  • The Locally Optimal Combination of Independent Test Statistics, Journal of the American Statistical Association, 10.1080/01621459.1976.10480967, 71, 356, (903-911), (1976).

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.