ELIZA

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321496 occurrences (No.66 in the rank) during 5 years in the PubMed. [no cache] 500 found

111) In hypothesis testing, under a Bayesian perspective, the evidence for a specified hypothesis against an alternative, conditionally on data, is given by the Bayes factor.

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PMID:22337766 DOI:10.1177/0962280212437827

2015 Statistical methods in medical research

* Unscaled Bayes factors for multiple hypothesis testing in microarray experiments.

- Multiple hypothesis testing collects a series of techniques usually based on p-values as a summary of the available evidence from many statistical tests. In hypothesis testing, under a Bayesian perspective, the evidence for a specified hypothesis against an alternative, conditionally on data, is given by the Bayes factor. In this study, we approach multiple hypothesis testing based on both Bayes factors and p-values, regarding multiple hypothesis testing as a multiple model selection problem. To obtain the Bayes factors we assume default priors that are typically improper. In this case, the Bayes factor is usually undetermined due to the ratio of prior pseudo-constants. We show that ignoring prior pseudo-constants leads to unscaled Bayes factor which do not invalidate the inferential procedure in multiple hypothesis testing, because they are used within a comparative scheme. In fact, using partial information from the p-values, we are able to approximate the sampling null distribution of the unscaled Bayes factor and use it within Efron's multiple testing procedure. The simulation study suggests that under normal sampling model and even with small sample sizes, our approach provides false positive and false negative proportions that are less than other common multiple hypothesis testing approaches based only on p-values. The proposed procedure is illustrated in two simulation studies, and the advantages of its use are showed in the analysis of two microarray experiments.

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(1)95 the	(18)4 these	(35)2 axial	(52)2 of
(2)13 different	(19)3 high	(36)2 censoring	(53)2 optimal
(3)12 a	(20)3 investigation	(37)2 clinical	(54)2 physiological
(4)9 general	(21)3 light	(38)2 consideration	(55)2 pulsatile
(5)8 both	(22)3 local	(39)2 controlled	(56)2 scanning
(6)8 which	(23)3 mechanical	(40)2 current	(57)2 serum-free
(7)7 various	(24)2 null	(41)2 evaluation	(58)2 several
(8)6 conditions	(25)2 12	(42)2 ex	(59)2 simulated
(9)6 curve	(26)2 15	(43)2 extreme	(60)2 specific
(10)6 static	(27)2 2	(44)2 four	(61)2 steady-state
(11)5 and	(28)2 CA	(45)2 hypertensive	(62)2 therapy
(12)4 5	(29)2 CT	(46)2 hypoxia	(63)2 this
(13)4 certain	(30)2 H2O2-induced	(47)2 hypoxic	(64)2 time
(14)4 control	(31)2 UV	(48)2 inflammatory	(65)2 treatment
(15)4 either	(32)2 acute	(49)2 laser	(66)2 ultrasound
(16)4 in	(33)2 additive	(50)2 lateral	(67)2 vertical
(17)4 normal	(34)2 adverse	(51)2 mortality	(68)2 water

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--- WordNet output for under --- =>以下の, (治療, 試練, 刑罰)を受けて, 下部の, の下に, ・・の下に Overview of adj under The adj under has 2 senses (first 2 from tagged texts) 1. (2) nether, under -- (located below or beneath something else; "nether garments"; "the under parts of a machine") 2. (1) under -- (lower in rank, power, or authority; "an under secretary") Overview of adv under The adv under has 8 senses (first 1 from tagged texts) 1. (2) under -- (down to defeat, death, or ruin; "their competitors went under") 2. under -- (through a range downward; "children six and under will be admitted free") 3. under -- (into unconsciousness; "this will put the patient under") 4. under -- (in or into a state of subordination or subjugation; "we must keep our disappointment under") 5. under -- (below some quantity or limit; "fifty dollars or under") 6. under -- (below the horizon; "the sun went under") 7. under -- (down below; "get under quickly!") 8. under, below -- (further down; "see under for further discussion") --- WordNet end ---