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Article

A bootstrap method to calculate the p-value of Fisher’s combination for a large number of weakly dependent p-values

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Pages 4210-4217 | Received 02 Nov 2020, Accepted 09 Jul 2021, Published online: 06 Aug 2021

References

  • Barnett, I., R. Mukherjee, and X. Lin. 2017. The generalized higher criticism for testing SNP-set effects in genetic association studies. Journal of the American Statistical Association 112 (517):64–76. doi:10.1080/01621459.2016.1192039.
  • Berk, R. H., and D. H. Jones. 1979. Goodness-of-fit test statistics that dominate the Kolmogorov statistics. Zeitschrift fu¨r Wahrscheinlichkeitstheorieund Verwandte Gebiete 47:47–59.
  • Brockwell, P., and R. Davis. 2009. Time series: Theory and methods, Springer series in statistics. New York: Springer.
  • Donoho, D., and J. Jin. 2004. Higher criticism for detecting sparse heterogeneous mixtures. Annals of Statistics 32:962–94.
  • Edgington, E. S. 1972. An additive method for combining probability values from independent experiments. The Journal of Psychology 80 (2):351–63. doi:10.1080/00223980.1972.9924813.
  • Fisher, R. A. 1932. Statistical methods for research workers. 4th ed. London: Oliver and Boyd.
  • Hall, P., and C. Heyde. 1980. Martingale limit theory and its application. New York: Academic Press.
  • Hu, X., W. Zhang, S. Zhang, S. Ma, and Q. Li. 2016. Group-combined p-values with applications to genetic association studies. Bioinformatics (Oxford, England) 32 (18):2737–43. doi:10.1093/bioinformatics/btw314.
  • Kost, J. T., and M. P. McDermott. 2002. Combining dependent p-values. Statistics & Probability Letters 60 (2):183–90. doi:10.1016/S0167-7152(02)00310-3.
  • Li, Q., J. Hu, J. Ding, and G. Zheng. 2014. Fisher's method of combining dependent statistics using generalizations of the gamma distribution with applications to genetic pleiotropic associations. Biostatistics (Oxford, England) 15 (2):284–95. doi:10.1093/biostatistics/kxt045.
  • Li, Z., F. Liu, L. Zeng, and G. Zuo. 2021. A stationary bootstrap test about two mean vectors comparison with somewhat dense differences and fewer sample size than dimension. Computational Statistics 36 (2):941–60. doi:10.1007/s00180-020-01030-x.
  • Li, Z., S. Qin, and Q. Li. 2021. A novel test by combining the maximum and minimum values among a large number of dependent Z-scores with application to genome wide association study. Statistics in Medicine 40 (10):2422–34. doi:10.1002/sim.8912.
  • Liptak, T. 1958. On the combination of independent tests. Magyar Tud. Akad. Kutato Int. Kozl 3:171–97.
  • Liu, Z., and X. Lin. 2018. Multiple Phenotype association tests using summary statistics in genome-wide association studies. Biometrics 74 (1):165–75. doi:10.1111/biom.12735.
  • Liu, Y., and J. Xie. 2020. Cauchy combination test: a powerful test with analytic p-value calculation under arbitrary dependency structures. Journal of the American Statistical Association 115 (529):393–402. doi:10.1080/01621459.2018.1554485.
  • Pearson, K. 1933. On a method of determining whether a sample of size n supposed to have been drawn from a parent population having a known probability integral has probably been drawn at random. Biometrika 25 (3-4):379–410. doi:10.1093/biomet/25.3-4.379.
  • Politis, D. N. 2003. Adaptive bandwidth choice[J]. Journal of Nonparametric Statistics 15 (4-5):517–33. doi:10.1080/10485250310001604659.
  • Politis, D. N., and J. P. Romano. 1994. The stationary bootstrap. Journal of the American Statistical Association 89 (428):1303–13. doi:10.1080/01621459.1994.10476870.
  • Politis, D. N., and J. P. Romano. 1995. Bias-Corrected Nonparametric Spectral Estimation. Journal of Time Series Analysis 16 (1):67–104. doi:10.1111/j.1467-9892.1995.tb00223.x.
  • Tippett, L. H. C. 1931. The methods of statistics. 1st ed. London: Williams and Norgate.
  • White, H., and D. N. Politis. 2004. Automatic block-length selection for the dependent bootstrap. Econometric Reviews 23 (1):53–70. doi:10.1081/ETC-120028836.
  • Zaykin, D. V., L. A. Zhivotovsky, P. H. Westfall, and B. S. Weir. 2002. Truncated product method for combining P-values. Genetic Epidemiology 22 (2):170–85. doi:10.1002/gepi.0042.

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