sample size problem;
ANOVA;
Bayesian point of view;
D O I:
10.1016/S0378-3758(97)00056-6
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this paper we discuss the sample size problem for balanced one-way ANOVA under a posterior Bayesian formulation of the problem. Using the distribution theory of appropriate quadratic forms we derive explicit sample sizes for prespecified posterior precisions. Comparisons with classical sample sizes are made. Instead of extensive tables, a MATHEMATICA program for sample size calculation is given. The formulations given in this article form a foundational step towards Bayesian calculation of sample size, in general. (C) 1997 Elsevier Science B.V.
机构:
Tufts Univ New England Med Ctr, Inst Clin Res & Hlth Policy Studies, Boston, MA 02111 USATufts Univ New England Med Ctr, Inst Clin Res & Hlth Policy Studies, Boston, MA 02111 USA
Schmid, CH
Cappelleri, JC
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机构:Tufts Univ New England Med Ctr, Inst Clin Res & Hlth Policy Studies, Boston, MA 02111 USA
Cappelleri, JC
Lau, J
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机构:Tufts Univ New England Med Ctr, Inst Clin Res & Hlth Policy Studies, Boston, MA 02111 USA
机构:
Univ Roma La Sapienza, Dept Stat Probabil & Appl Stat, I-00185 Rome, ItalyUniv Roma La Sapienza, Dept Stat Probabil & Appl Stat, I-00185 Rome, Italy
机构:
UNIV CALIF LOS ANGELES, SCH PUBL HLTH, DEPT BIOSTAT, LOS ANGELES, CA 90095 USAUNIV CALIF LOS ANGELES, SCH PUBL HLTH, DEPT BIOSTAT, LOS ANGELES, CA 90095 USA
机构:
Univ Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, NetherlandsUniv Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, Netherlands
Visser, Ingmar
Kucharsky, Simon
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机构:
Univ Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, NetherlandsUniv Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, Netherlands
Kucharsky, Simon
Levelt, Claartje
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机构:
Leiden Univ, Fac Humanities, Ctr Linguist, Leiden, NetherlandsUniv Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, Netherlands
Levelt, Claartje
Stefan, Angelika M.
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机构:
Univ Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, NetherlandsUniv Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, Netherlands
Stefan, Angelika M.
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机构:
Wagenmakers, Eric-Jan
Oakes, Lisa
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机构:
Univ Calif Davis, Dept Psychol, Davis, CA USA
Univ Calif Davis, Ctr Mind & Brain, Davis, CA USAUniv Amsterdam, Fac Social & Behav Sci, Dept Psychol, Amsterdam, Netherlands
机构:
Univ Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, AustriaUniv Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, Austria
Spangl, Bernhard
Kaiblinger, Norbert
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机构:
Univ Nat Resources & Life Sci, Inst Math, Vienna, AustriaUniv Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, Austria
Kaiblinger, Norbert
Ruckdeschel, Peter
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机构:
Carl von Ossietzky Univ Oldenburg, Inst Math, Oldenburg, GermanyUniv Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, Austria
Ruckdeschel, Peter
Rasch, Dieter
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机构:
Univ Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, AustriaUniv Nat Resources & Life Sci, Inst Stat, Gregor Mendel Str 33, A-1180 Vienna, Austria