Plots of P-values to evaluate many tests simultaneously

作者: T. SCHWEDER , E. SPJØTVOLL

DOI: 10.1093/BIOMET/69.3.493

关键词: Null hypothesisStatisticsMathematicsLine (geometry)Base (topology)Covariance matrixPer-comparison error rateCorrelationContingency table

摘要: SUMMARY When a large number of tests are made, possibly on the same data, it is proposed to base simultaneous evaluation all plot cumulative P-values using observed significance probabilities. The points corresponding true null hypotheses should form straight line, while those for false deviate from this line. line may be used estimate hypotheses. properties method studied in some detail problems comparing pairs means one-way layout, testing correlation coefficients matrix, and 2 x subtables contingency table. illustrated real data.

参考文章(13)
Sir Ronald Aylmer Fisher, Statistical Methods for Research Workers ,(1925)
David B. Duncan, A Bayesian Approach to Multiple Comparisons Technometrics. ,vol. 7, pp. 171- 222 ,(1965) , 10.1080/00401706.1965.10490249
D. R. Cox, Elizabeth Lauei, A Note on the Graphical Analysis of Multidimensional Contingency Tables Technometrics. ,vol. 9, pp. 481- 488 ,(1967) , 10.1080/00401706.1967.10490492
C.P. Quesenberry, Craige Hales, Concentration bands for uniformity plots Journal of Statistical Computation and Simulation. ,vol. 11, pp. 41- 53 ,(1980) , 10.1080/00949658008810388
H. Toutenburg, Lehmann, E. L., Nonparametrics: Statistical Methods Based on Ranks, San Francisco. Holden-Day, Inc., 1975. 480 S., $ 22.95 . ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 57, pp. 562- 562 ,(1977) , 10.1002/ZAMM.19770570922
M. HILLS, On looking at large correlation matrices Biometrika. ,vol. 56, pp. 249- 253 ,(1969) , 10.1093/BIOMET/56.2.249
B. W. Silverman, Limit theorems for dissociated random variables Advances in Applied Probability. ,vol. 8, pp. 806- 819 ,(1976) , 10.2307/1425935
William G. Madow, T. W. Anderson, Introduction to Multivariate Statistical Analysis. American Mathematical Monthly. ,vol. 66, pp. 432- ,(1959) , 10.2307/2308777