In a Gaussian graphical model, the conditional independence between two variables are characterized by the corresponding zero entries in the inverse covariance matrix. Maximum likelihood method using the smoothly clipped absolute deviation (SCAD) penalty (Fan and Li, 2001) and the adaptive LASSO penalty (Zou, 2006) have been proposed in literature. In this article, we establish the result that ...

The Bayesian Information Criterion (BIC) is widely used for variable selection in mixed effects models. However, its expression is unclear in typical situations of mixed effects models, where simple definition of the sample size is not meaningful. We derive an appropriate BIC expression that is consistent with the random effect structure of the mixed effects model. We illustrate the behavior of...

The purpose of this study is to evaluate the degree of osseointegration of resorbable blasting media (RBM) surface implants retrieved from humans. Three implants in the mandibular molar region that were surface-treated with RBM were retrieved from two patients. The implants were used to manufacture specimens in order to measure the bone-implant contact (BIC) ratio. The BIC ratios of the three i...

One difficult problem we are often faced with in clustering analysis is how to choose the number of clusters. In this paper, we propcse to choose the number of clusters by optimizing the Bq2yesian information criterion (BIC), a model selection criierion in the statistics literature. We develop a termination criterion for the hierarchical clustering methods which optimizes the BIC criterion in a...

The Bicaudal-D (Bic-D) gene is essential for the differentiation of the oocyte in Drosophila. Dominant gain-of-function mutations result in the formation of double abdomen embryos. The Bic-D gene was cloned and identified using restriction fragment length polymorphisms, Northern analysis, and transformation rescue. Bic-D RNA accumulates in the oocyte during the earliest stages of oogenesis and ...

The dorsal motor nucleus of the vagus (DMV) is pivotal in the regulation of upper gastrointestinal functions, including motility and both gastric and pancreatic secretion. DMV neurons receive robust GABA- and glutamatergic inputs. Microinjection of the GABA(A) antagonist bicuculline (BIC) into the DMV increases pancreatic secretion and gastric motility, whereas the glutamatergic antagonist kynu...

When a number of models are fit to the same data set, one method of choosing the 'best' model is to select the model for which Akaike's information criterion (AIC) is lowest. AIC applies when maximum likelihood is used to estimate the unknown parameters in the model. The value of -2 log likelihood for each model fit is penalized by adding twice the number of estimated parameters. The number of ...

background: diabetes has become the next most widespread disease after cancer. recent studies have found that diabetes and moderate to severe vitamin d defi ciency are associated with reduced bone mineral content; therefore administration of vitamin d may correct these conditions. the purpose of this research is to compare the effect of vitamin d administration on bone to implant contact in dia...