scholarly journals Some New Random Effect Models for Correlated Binary Responses

2014 ◽  
Vol 2 (1) ◽  
Author(s):  
Fodé Tounkara ◽  
Louis-Paul Rivest

AbstractExchangeable copulas are used to model an extra-binomial variation in Bernoulli experiments with a variable number of trials. Maximum likelihood inference procedures for the intra-cluster correlation are constructed for several copula families. The selection of a particular model is carried out using the Akaike information criterion (AIC). Profile likelihood confidence intervals for the intra-cluster correlation are constructed and their performance are assessed in a simulation experiment. The sensitivity of the inference to the specification of the copula family is also investigated through simulations. Numerical examples are presented.

2017 ◽  
Author(s):  
Αντωνία Κορρέ

Η συγκεκριμένη μελέτη παρουσιάζει τεστ καλής προσαρμογής για το συστηματικό μέρος σε μοντέλα τυχαίων επιδράσεων. Συγκεκριμένα προτείνονται τεστ που βασίζονται στο διαχωρισμό των παρατηρήσεων σε αμοιβαίως αποκλειόμενες ομάδες, όπως και σταθμισμένες εκδοχές τους που βασίζονται στη συσχέτιση μεταξύ μίας κατάλληλα προσαρμοσμένης μεταβλητής υποψήφιας για είσοδο στο μοντέλο και των καταλοίπων του μηδενικού μοντέλου. Επιπρόσθετα, προτείνονται σταθμισμένες εκδοχές των διαδικασιών του σωρευτικού αθροίσματος και του κινητού μέσου. Η διαδικασία εκτίμησης που χρησιμοποιείται βασίζεται στην h-πιθανοφάνεια, οπότε όλες οι ποσότητες που χρησιμοποιούνται για να σχηματιστούν τα παραπάνω στατιστικά προέρχονται από αυτή τη μέθοδο εκτίμησης. Οι προσομοιώσεις που παρουσιάζονται έχουν σχεδιαστεί έτσι ώστε να εξετάσουν την επίδοση των στατιστικών σε διαφορετικά μεγέθη δείγματος, διακύμανσης των τυχαίων επιδράσεων, διάφορες αποκλίσεις από το πραγματικό μοντέλο, κ.λπ. Τα αποτελέσματα υποδεικνύουν μία καλύτερη απόδοση των σταθμισμένων στατιστικών, ενώ ωστόσο, υπάρχουν περιπτώσεις όπου κάποια μη σταθμισμένα τεστ επιδεικνύουν μία ίδιου βαθμού απόδοση με αυτή των σταθμισμένων ανάλογών τους. Όλες οι προτεινόμενες στατιστικές εφαρμόζονται σε δύο πραγματικά σύνολα δεδομένων.


2018 ◽  
Vol 37 (29) ◽  
pp. 4571-4587
Author(s):  
Antonia K. Korre ◽  
Vassilis G. S. Vasdekis

Biometrika ◽  
2010 ◽  
Vol 97 (4) ◽  
pp. 773-789 ◽  
Author(s):  
Sonja Greven ◽  
Thomas Kneib

Abstract In linear mixed models, model selection frequently includes the selection of random effects. Two versions of the Akaike information criterion, aic, have been used, based either on the marginal or on the conditional distribution. We show that the marginal aic is not an asymptotically unbiased estimator of the Akaike information, and favours smaller models without random effects. For the conditional aic, we show that ignoring estimation uncertainty in the random effects covariance matrix, as is common practice, induces a bias that can lead to the selection of any random effect not predicted to be exactly zero. We derive an analytic representation of a corrected version of the conditional aic, which avoids the high computational cost and imprecision of available numerical approximations. An implementation in an R package (R Development Core Team, 2010) is provided. All theoretical results are illustrated in simulation studies, and their impact in practice is investigated in an analysis of childhood malnutrition in Zambia.


1990 ◽  
Vol 29 (03) ◽  
pp. 200-204 ◽  
Author(s):  
J. A. Koziol

AbstractA basic problem of cluster analysis is the determination or selection of the number of clusters evinced in any set of data. We address this issue with multinomial data using Akaike’s information criterion and demonstrate its utility in identifying an appropriate number of clusters of tumor types with similar profiles of cell surface antigens.


CJEM ◽  
2020 ◽  
Vol 22 (S1) ◽  
pp. S38-S38
Author(s):  
K. de Wit ◽  
D. Nishijima ◽  
S. Mason ◽  
R. Jeanmonod ◽  
S. Parpia ◽  
...  

Introduction: It is unclear whether anticoagulant or antiplatelet medications increase the risk for intracranial bleeding in older adults after a fall. Our aim was to report the incidence of intracranial bleeding among older adults presenting to the emergency department (ED) with a fall, among patients taking anticoagulants, antiplatelet medications, both medications and neither medication. Methods: This was a systematic review and meta-analysis, PROSPERO reference CRD42019122626. Medline, EMBASE (via OVID 1946 - July 2019), Cochrane, Database of Abstracts of Reviews of Effects databases and the grey literature were searched for studies reporting on older adults who were evaluated after a fall. We included prospective studies conducted in the ED where more than 80% of the cohort were 65 years or older and had fallen. We contacted study authors for aggregate data on intracranial bleeding in patients prescribed anticoagulant medication, antiplatelet medication and neither medication. Incidences of intracranial bleeding were pooled using random effect models, and I2 index was used to assess heterogeneity. Results: From 7,240 publication titles, 10 studies met inclusion criteria. The authors of 8 of these 10 studies provided data (on 9,489 patients). All studies scored low or moderate risk of bias. The pooled incidence of intracranial bleeding among patients taking an anticoagulant medication was 5.1% (n = 5,016, 95% Confidence Interval (CI): 4.1 to 6.3%) I2 = 42%, a single antiplatelet 6.4% (n = 2,148, 95% CI: 5.4 to 7.6%) I2 = 75%, both anticoagulant and antiplatelet medications 5.9% (n = 212, 95% CI: 1.3 to 13.5%) I2 = 72%, and neither of these medications 4.8% (n = 1,927, 95% CI: 3.5 to 6.2%) I2 = 50%. A sensitivity analysis restricted to patients who had a head CT in the ED reported incidences of 6.1% (n = 3,561, 95% CI: 3 to 8.3%), 8.4% (n = 1,781, 95% CI: 5.5 to 11.8%), 6.7% (n = 206, 95% CI 1.5 to 15.2%) and 6.6% (n = 1,310, 95% CI: 5.0 to 8.4%) respectively. Conclusion: The incidence of fall-related intracranial bleeding in older ED patients was similar among patients who take anticoagulant medication, antiplatelet medication, both and neither medication, although there was heterogeneity between study findings.


2019 ◽  
Vol 74 (3) ◽  
pp. 251-256 ◽  
Author(s):  
Hailong Su ◽  
Guo Zhang

Background: The correlation between methylenetetrahydrofolate reductase (MTHFR) gene polymorphisms and hepatocellular carcinoma (HCC) remains controversial. Objectives: We performed this study to better assess the relationship between MTHFR gene polymorphisms and the likelihood of HCC. Methods: A systematic research of PubMed, Medline, and Embase was performed to retrieve relevant articles. ORs and 95% CIs were calculated. Results: A total of 15 studies with 8,378 participants were analyzed. In overall analyses, a significant association with the likelihood of HCC was detected for the rs1801131 polymorphism with fixed-effect models (FEMs) in recessive comparison (p = 0.002, OR 0.62, 95% CI 0.43–0.82). However, no positive results were detected for the rs1801133 polymorphism in any comparison. Further subgroup analyses revealed that the rs1801131 polymorphism was significantly associated with the likelihood of HCC in Asians with both FEMs (recessive model: p < 0.0001, OR 0.42, 95% CI 0.29–0.62; allele model: p = 0.004, OR 1.20, 95% CI 1.06–1.35) and random-effect models (recessive model: p = 0.002, OR 0.47, 95% CI 0.29–0.75). Nevertheless, we failed to detect any significant correlation between the rs1801133 polymorphism and HCC. Conclusions: Our findings indicated that the rs1801131 polymorphism may serve as a genetic biomarker of HCC in Asians.


2012 ◽  
Vol 109 ◽  
pp. 146-155 ◽  
Author(s):  
James O. Chipperfield ◽  
David G. Steel

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