1. NCCU Academic Hub
  2. Publications
  3. College of Commerce
  4. Theses
  5. Item

Publications-Theses

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 Simultaneous confidence intervals and multiple tests for multinomial proportions imultaneous confidence intervals and multiple tests for multinomial proportions
作者 候家鼎
Hou, Chia-Ding
貢獻者 戴政<br>江振東
Tung, Chiang<br>John, Jen-Tai
候家鼎
Hou, Chia-Ding
日期 1997
上傳時間 10-May-2016 18:56:31 (UTC+8)
摘要 Let us outline the contents of the chapters to follows.
參考文獻 REFERENCES\nAgresti, A. (1984). Analysis of Ordinal Categorical Data. New York: John Wiley.\nAgresti, A. (1990). Categorical Data Analysis. New York: John Wiley and Sons.\nAngers, C. (1984). Large sample sizes for the estimation of multinomial frequencies\nfrom simulation studies. Simulation, 10, 175-178.\nArdisia, c., Venti, G., Colozza, M.A., Breschi, c., Porfirio, B. , Davis, S., Tonato, M.,\nDonti, E. (1993). Expression of aphidicolin-induced fragile sites in lymphocytes of\npatients with breast cancer. Cancer Genet Cytogenet, 67, 113-116.\nBakir, M. A., Byrne, M. D. (1994). An application of the multi-stage Monte Carlo\noptimization algorithm to aggregate production planning. International Journal of\nProduction Economics, 35, 207-213 .\nBishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975). Discrete Multivariate\nAnalysis: Theory and Practice. Cambridge, MA, The MIT Press.\nBohn, U., Dahm, P. F., McAllister, B. F., Greenbaum, I. F. (1995). Identifying\nchromosomal fragile sites from individuals: a multinomial statistical model. Hum\nGenet, 95, 249-256.\nCochran, W. G. (1963). Sampling Techniques (2nd ed.), New York: 10lm Wiley.\nCressie, N., Read, T. R. C. (1984). Multinomial goodness-of-fit tests. Journal of the\nRoyal Statistical Society Series B 46,440-464.\nCressie, N., Read, T. R. C. (1988) . Goodness-of-Fit Statistics for Discrete\nMultivariate Data, New York: Springer-Verlag.\nDe Braekeleer, M. (1987). Fragile sites and chromosomal structure rearrangements in\nhuman leukemia and cancer. Anticancer Res., 7,417-422.\nDe Braekeleer, M. (1989). Fragile sites and statistics. Hum Genet, 84, 103.\nDe Braekeleer, M., Smith, B. (1988). Two methods for measuring the nonrandomness\nof chromosome abnormalities. Ann hum Genet 52 , 63-67.\nEthier, S. N. (1982 ). Testing for favorable numbers on a roulette wheel. Journal of the American Statistical Association, 77, 660-665.\nFienberg, S. E. (1980). The Analysis of Cross-Classified Categorical Data (2nd ed.).\nCambridge, MA, the MIT Press.\nFitzpatrick, S., Scott, A. (1987). Quick simultaneous confidence intervals for\nmultinomial proportions. Journal of the American Statistical Association ., 82, 875-\n878.\nFreeman, D. H. (1987). Applied Categorical Data Analysis. New York, Marcel\nDekker.\nFuchs, c., Kenett, R. (1980). A test for detecting outlying cells in the multinomial\ndistribution and two-way contingency tables. Journal of the American Statistical\nAssociation, 75, 395-398.\nGlaz, J., Johnson, B. (1984). Probability for multivariate distributions with\ndependence structures. Journal of the American Statistical Association, 79, 436-441.\nGold, R. Z. (1963). Tests auxiliary to %2 tests in a Markov chain. Ann. Math. Statist.,\n34, 56-74.\nGoodman, L. A. (1965). On simultaneous confidence intervals for multinomial\nproportions. Technometrics, 7,247-254.\nHaberman, S. J. (1974) . The Analysis of Frequency Data. Chicago, University of\nChicago Press.\nHecht, F., Glover, T. W. (1984). Cancer chromosome breakpoints and common fragile sites induced by aphidicolin. Cancer Genet Cytogenet., 13, 185-188.\nHecht, F., Sutherland, G. R. (1984). Fragile sites and cancer breakpoints. Cancer\nGenet Cytogenet, 12,179-181.\nHochberg, Y. (1988). A sharper Bonferroni procedure for multiple tests of\nsignificance. Biometrika, 75,800-802.\nHolm, S. (1979). A simple sequentially rejective multiple test procedure.\nScandinavian Journal of Statistics, 6, 65-70.\nHurtubise, R. (1969). Sample sizes and confidence intervals associated with a Monte\nCarlo simulation model possessing a multinomial output. Simulation, 12, 71-77.\nISCN. (1981). An international system for human cytogenetic nomenclature━high\nresolution banding. Cytogenet Cell Genet, 31, 1-23.\nJOMson, N. L., Kotz, S. (1970).Continuous Univariate Distributions-2. Houghton\nMifflin, Boston.\nJordan, D. K. , Bums, T. W., Divelbiss, J. E., Woolson, R. F., Patil, S. R. (1990) .\nVariability in expression of COnU1lOJ1 fragile sites: in search of a new criterion. Hum Genet, 85,462-466.\nJowett, G. H. (1963). The relationship between the binomial and F distribution.\nStatistician, 13,55-57.\nKoehler, K., Larntz, K. (1980). An empirical investigation of goodness-of-fit statistics\nfor sparse multinomials. Journal of the American Statistical Association, 75,336-344.\nLe Beau, M. M. (1986). Chromosomal fragile sites and cancer-specific· .\nrearrangements. Blood, 67, 849-858.\nLe Beau, M. M., Rowley, J. D. (1984). Heritable fragile sites and cancer. Nature, 308,\n607-608.\nLevin, B. (1981). A representation for multinomial cumulative distribution functions.\nThe Annals of Statistics, 9,1123-1126.\nMariani, T. (1989a). Fragile sites and statistics. Hum Genet, 81, 319-322.\nMariani, T. (1989b). Reply to letter by M. De Braekeleer. Hum Genet, 84, 104.\nMehta, C. R., Patel, N. R. , Senchaudhuri, P. (1988). Importance sampling for\nestimating exact probabilities in permutational inference. Journal of the American\nStatistical Association, 83,999-1005.\nMiller, R. G., Jr. (1977). Developments in mUltiple comparisons 1966-l976 . .Tournai\nof the American Statistical Association, 72, 779-788.\nMiller, R. G., Jr. (1981). Simultaneous Statistical Inference (2nd ed.). New York:\nSpringer-Verlag.\nNelson, L. S. (1995). The usefulness of Monte Carlo tests. Journal of Quality\nTechnology, 27, 387-389.\nQuesenberry, C. P., Hurst D. C. (1964). Simultaneous confidence intervals for\nmultinomial proportions. Technometrics, 6, 191-195.\nRoy, S. N. (1953). On a heuristic method of test construction and its use in\nmultivariate analysis. Ann. Math. Stat., 24, 220-238.\nSeber, G. A. (1977). Linear regression analysis. Wiley, New York.\nSison, C. P., Glaz, 1. (1995). Simultaneous confidence intervals and sample size\ndetermination for multinomial proportions. Journal of the American Statistical\nAssociation, 90, 366-369.\nSmith, CAB. (1986). Chi:`squared tests with small numbers. Ann hum Genet, 50, 163-\n167.\nSobol, J. M. (1974). The Monte Carlo Method. The University of Chicago Press.\nSutherland, G. R., Ledbetter, D. H. (1989). Report of the committee on cytogenetic\nmarkers. Tenth International Workshop on Human Gene Mapping. Cytogenet Cell\nGenet, 51, 452-458.\nTai,J. J., Hou, C-D., Wang-Wuu, S., Wang, C-H., Leu, S-Y., Wuu, K-D. (1993). A\nmethod for testing the nonrandonmess of chromosomal breakpoints. Cytogenet Cell\nGenet, 63,147-150.\nTarone, R. E. (1989). Testing for nonrandol111less of events in sparse data situations.\nAnn hum Genet, 53,381-387.\nThompson, E. A. (1994). Monte Carlo likelihood in genetic mapping. Statistical\nScience, 9, 355-366.\nThompson, S. K. (1987). Sample size for estimating multinomial proportions. The\nAmerican Statistician, 41 , 42-46.\nTortora, R. D. (1978) . A note on sample size estimation for multinomial populations.\nThe American Statistician, 32, 100-102.\nTroendle, J. F. (1995). A stepwise resampling method of multiple hypothesis testing.\nJournal of the American Statistical Association, 90, 370-378.\nVasarhelyi, K., Friedman, J. M. (1989). Analyzing rearrangement between breakpoint\ndistributions by means of binomial confidence intervals. Ann hum Genet, 3,375-380.\nWang, C-H. , Leu, S- Y., Tai, J. J., Wuu, K-D., Wang-Wuu, S. (1992). Chromosomal\nfragile sites expression in lymphocytes of patients ,,with colorectal carcinoma and of\nhealthy controls. Ms. Submitted for publication.\nZar, J. H. (1984). Biostatistical Analysis. Prentice-Hall, Englewood Cliffs.
描述 博士
國立政治大學
統計學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#G91NCCV9552012
資料類型 thesis
dc.contributor.advisor 戴政<br>江振東zh_TW
dc.contributor.advisor Tung, Chiang<br>John, Jen-Taien_US
dc.contributor.author (Authors) 候家鼎zh_TW
dc.contributor.author (Authors) Hou, Chia-Dingen_US
dc.creator (作者) 候家鼎zh_TW
dc.creator (作者) Hou, Chia-Dingen_US
dc.date (日期) 1997en_US
dc.date.accessioned 10-May-2016 18:56:31 (UTC+8)-
dc.date.available 10-May-2016 18:56:31 (UTC+8)-
dc.date.issued (上傳時間) 10-May-2016 18:56:31 (UTC+8)-
dc.identifier (Other Identifiers) G91NCCV9552012en_US
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=108501-
dc.description (描述) 博士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.abstract (摘要) Let us outline the contents of the chapters to follows.zh_TW
dc.description.tableofcontents TABLE OF CONTENTS\nCHAPTER\nⅠ．INTRODUCTION..........1\nⅡ．SIMULTANEOUS CONFIDENCE INTERVALS FOR MULTINOMIAL PROPORTIONS..........3\n2.1 Introduction..........3\n2.2 Review of the Published Procedures..........5\n2.3 The First Alternative Method for Constructing Simultaneous Confidence Intervals for Multinomial Proportions..........8\n2.4 The Second Alternative Method for Constructing Simultaneous Confidence Intervals for Multinomial Proportions..........11\n2.4.1 The Derivation of the Method..........11\n2.4.2 The Best Power-Divergence Simultaneous Confidence Intervals..........20\n2.5 Simulation Study..........22\n2.5.1 Numerical Comparisons of Coverage Probabilities and Volumes among Different Methods..........24\n2.5.2 Numerical Comparisons in Sparse Data Situations..........28\n2.6 A Brief Discussion for the Possible Improvement on the Best Power-Divergence Simultaneous Confidence Intervals..........34\n2.7 Concluding Remarks..........37\nⅢ．MULTIPLE TESTS AND ITS APPLICATION TO IDENTIFICATION OF CHROMOSOMAL FRAGILE SITES..........38\n3.1 Introduction..........38\n3.2 Review of the Published Procedures..........39\n3.3 Testing the Nonrandomness Chromosomal Breakpoints Using Largest Order Statistics..........46\n3.3.1 Under the Proportional Probability Model..........46\n3.3.2 Under the Equiprobability Model..........50\n3.4 Numerical Study..........51\n3.5 Identifying Chromosomal Fragile Sites from a Hierarchical Clustering Point of View..........64\n3.5.1 Perliminaries..........64\n3.5.1.1 Union-Intersection Principle..........64\n3.5.1.2 Hochberg’s Step-Up Multiple Hypothesis Testing Algorithm..........65\n3.5.2 Main Results..........66\n3.6 Numerical Study..........69\nⅣ．SUMMARY AND DIRECTION FOR FURTHER RESEARCH..........77\nREFERENCES..........80zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G91NCCV9552012en_US
dc.title (題名) Simultaneous confidence intervals and multiple tests for multinomial proportions imultaneous confidence intervals and multiple tests for multinomial proportionsen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) REFERENCES\nAgresti, A. (1984). Analysis of Ordinal Categorical Data. New York: John Wiley.\nAgresti, A. (1990). Categorical Data Analysis. New York: John Wiley and Sons.\nAngers, C. (1984). Large sample sizes for the estimation of multinomial frequencies\nfrom simulation studies. Simulation, 10, 175-178.\nArdisia, c., Venti, G., Colozza, M.A., Breschi, c., Porfirio, B. , Davis, S., Tonato, M.,\nDonti, E. (1993). Expression of aphidicolin-induced fragile sites in lymphocytes of\npatients with breast cancer. Cancer Genet Cytogenet, 67, 113-116.\nBakir, M. A., Byrne, M. D. (1994). An application of the multi-stage Monte Carlo\noptimization algorithm to aggregate production planning. International Journal of\nProduction Economics, 35, 207-213 .\nBishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975). Discrete Multivariate\nAnalysis: Theory and Practice. Cambridge, MA, The MIT Press.\nBohn, U., Dahm, P. F., McAllister, B. F., Greenbaum, I. F. (1995). Identifying\nchromosomal fragile sites from individuals: a multinomial statistical model. Hum\nGenet, 95, 249-256.\nCochran, W. G. (1963). Sampling Techniques (2nd ed.), New York: 10lm Wiley.\nCressie, N., Read, T. R. C. (1984). Multinomial goodness-of-fit tests. Journal of the\nRoyal Statistical Society Series B 46,440-464.\nCressie, N., Read, T. R. C. (1988) . Goodness-of-Fit Statistics for Discrete\nMultivariate Data, New York: Springer-Verlag.\nDe Braekeleer, M. (1987). Fragile sites and chromosomal structure rearrangements in\nhuman leukemia and cancer. Anticancer Res., 7,417-422.\nDe Braekeleer, M. (1989). Fragile sites and statistics. Hum Genet, 84, 103.\nDe Braekeleer, M., Smith, B. (1988). Two methods for measuring the nonrandomness\nof chromosome abnormalities. Ann hum Genet 52 , 63-67.\nEthier, S. N. (1982 ). Testing for favorable numbers on a roulette wheel. Journal of the American Statistical Association, 77, 660-665.\nFienberg, S. E. (1980). The Analysis of Cross-Classified Categorical Data (2nd ed.).\nCambridge, MA, the MIT Press.\nFitzpatrick, S., Scott, A. (1987). Quick simultaneous confidence intervals for\nmultinomial proportions. Journal of the American Statistical Association ., 82, 875-\n878.\nFreeman, D. H. (1987). Applied Categorical Data Analysis. New York, Marcel\nDekker.\nFuchs, c., Kenett, R. (1980). A test for detecting outlying cells in the multinomial\ndistribution and two-way contingency tables. Journal of the American Statistical\nAssociation, 75, 395-398.\nGlaz, J., Johnson, B. (1984). Probability for multivariate distributions with\ndependence structures. Journal of the American Statistical Association, 79, 436-441.\nGold, R. Z. (1963). Tests auxiliary to %2 tests in a Markov chain. Ann. Math. Statist.,\n34, 56-74.\nGoodman, L. A. (1965). On simultaneous confidence intervals for multinomial\nproportions. Technometrics, 7,247-254.\nHaberman, S. J. (1974) . The Analysis of Frequency Data. Chicago, University of\nChicago Press.\nHecht, F., Glover, T. W. (1984). Cancer chromosome breakpoints and common fragile sites induced by aphidicolin. Cancer Genet Cytogenet., 13, 185-188.\nHecht, F., Sutherland, G. R. (1984). Fragile sites and cancer breakpoints. Cancer\nGenet Cytogenet, 12,179-181.\nHochberg, Y. (1988). A sharper Bonferroni procedure for multiple tests of\nsignificance. Biometrika, 75,800-802.\nHolm, S. (1979). A simple sequentially rejective multiple test procedure.\nScandinavian Journal of Statistics, 6, 65-70.\nHurtubise, R. (1969). Sample sizes and confidence intervals associated with a Monte\nCarlo simulation model possessing a multinomial output. Simulation, 12, 71-77.\nISCN. (1981). An international system for human cytogenetic nomenclature━high\nresolution banding. Cytogenet Cell Genet, 31, 1-23.\nJOMson, N. L., Kotz, S. (1970).Continuous Univariate Distributions-2. Houghton\nMifflin, Boston.\nJordan, D. K. , Bums, T. W., Divelbiss, J. E., Woolson, R. F., Patil, S. R. (1990) .\nVariability in expression of COnU1lOJ1 fragile sites: in search of a new criterion. Hum Genet, 85,462-466.\nJowett, G. H. (1963). The relationship between the binomial and F distribution.\nStatistician, 13,55-57.\nKoehler, K., Larntz, K. (1980). An empirical investigation of goodness-of-fit statistics\nfor sparse multinomials. Journal of the American Statistical Association, 75,336-344.\nLe Beau, M. M. (1986). Chromosomal fragile sites and cancer-specific· .\nrearrangements. Blood, 67, 849-858.\nLe Beau, M. M., Rowley, J. D. (1984). Heritable fragile sites and cancer. Nature, 308,\n607-608.\nLevin, B. (1981). A representation for multinomial cumulative distribution functions.\nThe Annals of Statistics, 9,1123-1126.\nMariani, T. (1989a). Fragile sites and statistics. Hum Genet, 81, 319-322.\nMariani, T. (1989b). Reply to letter by M. De Braekeleer. Hum Genet, 84, 104.\nMehta, C. R., Patel, N. R. , Senchaudhuri, P. (1988). Importance sampling for\nestimating exact probabilities in permutational inference. Journal of the American\nStatistical Association, 83,999-1005.\nMiller, R. G., Jr. (1977). Developments in mUltiple comparisons 1966-l976 . .Tournai\nof the American Statistical Association, 72, 779-788.\nMiller, R. G., Jr. (1981). Simultaneous Statistical Inference (2nd ed.). New York:\nSpringer-Verlag.\nNelson, L. S. (1995). The usefulness of Monte Carlo tests. Journal of Quality\nTechnology, 27, 387-389.\nQuesenberry, C. P., Hurst D. C. (1964). Simultaneous confidence intervals for\nmultinomial proportions. Technometrics, 6, 191-195.\nRoy, S. N. (1953). On a heuristic method of test construction and its use in\nmultivariate analysis. Ann. Math. Stat., 24, 220-238.\nSeber, G. A. (1977). Linear regression analysis. Wiley, New York.\nSison, C. P., Glaz, 1. (1995). Simultaneous confidence intervals and sample size\ndetermination for multinomial proportions. Journal of the American Statistical\nAssociation, 90, 366-369.\nSmith, CAB. (1986). Chi:`squared tests with small numbers. Ann hum Genet, 50, 163-\n167.\nSobol, J. M. (1974). The Monte Carlo Method. The University of Chicago Press.\nSutherland, G. R., Ledbetter, D. H. (1989). Report of the committee on cytogenetic\nmarkers. Tenth International Workshop on Human Gene Mapping. Cytogenet Cell\nGenet, 51, 452-458.\nTai,J. J., Hou, C-D., Wang-Wuu, S., Wang, C-H., Leu, S-Y., Wuu, K-D. (1993). A\nmethod for testing the nonrandonmess of chromosomal breakpoints. Cytogenet Cell\nGenet, 63,147-150.\nTarone, R. E. (1989). Testing for nonrandol111less of events in sparse data situations.\nAnn hum Genet, 53,381-387.\nThompson, E. A. (1994). Monte Carlo likelihood in genetic mapping. Statistical\nScience, 9, 355-366.\nThompson, S. K. (1987). Sample size for estimating multinomial proportions. The\nAmerican Statistician, 41 , 42-46.\nTortora, R. D. (1978) . A note on sample size estimation for multinomial populations.\nThe American Statistician, 32, 100-102.\nTroendle, J. F. (1995). A stepwise resampling method of multiple hypothesis testing.\nJournal of the American Statistical Association, 90, 370-378.\nVasarhelyi, K., Friedman, J. M. (1989). Analyzing rearrangement between breakpoint\ndistributions by means of binomial confidence intervals. Ann hum Genet, 3,375-380.\nWang, C-H. , Leu, S- Y., Tai, J. J., Wuu, K-D., Wang-Wuu, S. (1992). Chromosomal\nfragile sites expression in lymphocytes of patients ,,with colorectal carcinoma and of\nhealthy controls. Ms. Submitted for publication.\nZar, J. H. (1984). Biostatistical Analysis. Prentice-Hall, Englewood Cliffs.zh_TW