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return kwic search for demonstrated out of >500 occurrences
286534 occurrences (No.87 in the rank) during 5 years in the PubMed. [no cache] 500 found

363) Our sensitivity analysis confirmed the robustness of the model to assumptions pertaining to the underlying distribution and demonstrated its insensitivity to normality assumptions.

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PMID:22143404 DOI:10.1177/0962280211430681

2015 Statistical methods in medical research

* Slope estimation for informatively right censored longitudinal data modelling the number of observations using geometric and Poisson distributions: application to renal transplant cohort.

- Analysis of longitudinal data is often complicated by the presence of informative right censoring. This type of censoring should be accounted for in the analysis so that valid slope estimates are attained. In this study, we developed a new likelihood-based approach wherein the likelihood function is integrated over random effects to obtain a marginal likelihood function. Maximum likelihood estimates for the population slope were acquired by direct maximisation of the marginal likelihood function and empirical Bayes estimates for the individual slopes were generated using Gaussian quadrature. The performance of the model was assessed using the geometric and Poisson distributions to model the number of observations for every individual subject. Our model generated valid estimates for the slopes under both distributions with minimal bias and mean squared errors. Our sensitivity analysis confirmed the robustness of the model to assumptions pertaining to the underlying distribution and demonstrated its insensitivity to normality assumptions. Moreover, superiority of the model in terms of accuracy of slope estimates was consistently shown across the different levels of censoring in comparison to the naïve and bootstrap approaches. This model was illustrated using the cohort of renal transplant patients and estimates of the slopes that are adjusted for informative right censoring were acquired.

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[frequency of next (right) word to demonstrated]

(1)158 that	(10)5 good	(19)3 excellent	(28)2 efficacy
(2)48 the	(11)5 increased	(20)3 more	(29)2 greater
(3)40 a	(12)5 significantly	(21)3 no	(30)2 how
(4)23 by	(13)4 as	(22)3 that,	(31)2 successful
(5)21 to	(14)4 better	(23)2 acceptable	(32)2 through
(6)13 in	(15)4 improved	(24)2 and	(33)2 using
(7)12 null	(16)4 its	(25)2 both
(8)11 an	(17)4 similar	(26)2 decreased
(9)8 for	(18)3 between	(27)2 differential

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--- WordNet output for demonstrated --- Overview of verb demonstrate The verb demonstrate has 4 senses (first 4 from tagged texts) 1. (24) show, demo, exhibit, present, demonstrate -- (give an exhibition of to an interested audience; "She shows her dogs frequently"; "We will demo the new software in Washington") 2. (22) prove, demonstrate, establish, show, shew -- (establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture") 3. (2) attest, certify, manifest, demonstrate, evidence -- (provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes; "His high fever attested to his illness"; "The buildings in Rome manifest a high level of architectural sophistication"; "This decision demonstrates his sense of fairness") 4. (1) demonstrate, march -- (march in protest; take part in a demonstration; "Thousands demonstrated against globalization during the meeting of the most powerful economic nations in Seattle") Overview of adj demonstrated The adj demonstrated has 1 sense (first 1 from tagged texts) 1. (1) demonstrated -- (having been demonstrated or verified beyond doubt) --- WordNet end ---