A simulation study is used to examine the robustness of some estimators on a multiple linear regression model with problems of multicollinearity and non-normal errors, the Ordinary least Squares (LS) ,Ridge Regression, Ridge Least Absolute Value (RLAV), Weighted Ridge (WRID), MM and a robust ridge regression estimator MM estimator, which denoted as RMM this is the modification of the Ridge regression by incorporating robust MM estimator . finialy, we show that RMM is the best among the other estimators

Background: The objective of this study was to investigate the possibility of standardizing the Bolton ratio analysis as a diagnostic measure for both Iraqi and Egyptian orthodontic populations within three Angle' classification groups. Materials and methods: Two hundred forty pretreatment study casts (one hundred twenty of each population) were included in this study and divided into three Angle' classification groups. The mesiodistal crown diameters of all teeth were measured for computing the anterior and total Bolton ratios. Analysis of variance was performed to compare the mean ratios of Bolton analysis as a function of the Angle classification.HSD test was used to specify the classes of malocclusion that have significant differences.

One of the most important features of American foreign activity during the second half of the 19th century was the encouragement of sending Protestant missionary missions to all countries around the world. The mission of these missions was facilitated by the weakened state of the Ottoman Empire, the increasing influence of European countries, and their interference in its internal affairs. Despite the Ottoman efforts to counter the activities of these missions, the American missionary missions adopted a well-planned strategy that suited the conditions of the region, aimed at achieving their goals through direct and indirect methods, including intervention in the field of education. These missions gave great importance to educational aspects

This work presents an experimental study of heat transfer and flow of distilled water and metal oxide nanofluid Fe₃O₄-distilled water at concentrations of (φ = 0.3, 0.6, 0.9 %) by volume in a horizontal pipe with constant magnetic field. All the tests are carried out with Reynolds number range (2900-9820) and uniform heat flux (11262-19562 W/m²). The results show that, the nanofluid concentration and magnetic intensity increase, the Nusselt number increases. The maximum enhancement in Nusselt number with magnetic nanofluid is (5.4 %, 26.4 %, 42.7 %) for volume concentration (0.3, 0.6, 0.9 %) respectively. The enhancement is maximized with magnetic intensity (0.1, 0.2, 0.3 tesla) respectively to (43.9, 44

In order to obtain a mixed model with high significance and accurate alertness, it is necessary to search for the method that performs the task of selecting the most important variables to be included in the model, especially when the data under study suffers from the problem of multicollinearity as well as the problem of high dimensions. The research aims to compare some methods of choosing the explanatory variables and the estimation of the parameters of the regression model, which are Bayesian Ridge Regression (unbiased) and the adaptive Lasso regression model, using simulation. MSE was used to compare the methods.

Perfluorooctanoic acid (PFOA) is a synthetic fluor-surfactant chemical used widely in ‎products that resist oil, heat, grease, stains, and water. It is also used in producing other ‎fluoropolymers. The main sources of exposure to PFOA are water, soil, and animal-‎origin food (meat, fish, and dairy products). The aim of this study to evaluate the renal ‎function following oral gavage of sub-lethal dose of PFOA in diabetic and non-diabetic ‎guinea pigs. The experiment run for 4 weeks, total of 40 male guinea pigs, ‎‎(Cavia porcellus), were randomly selected and grouped into four equal groups. The first ‎group (G1) served as the negative control; 2nd group (G2) alloxan induced diabetic, 3rd ‎group (G3) non-diabeti

Introduction: Dental fear is defined as the patient’s specific reaction towards stress related to dental treatment in which the stimulus is unkn..

This paper presents an analytical study for the magnetohydrodynamic (MHD) flow of a generalized Burgers’ fluid in an annular pipe. Closed from solutions for velocity is obtained by using finite Hankel transform and discrete Laplace transform of the sequential fractional derivatives. Finally, the figures are plotted to show the effects of different parameters on the velocity profile.