The present article discusses the role of categorical variable in the problem of multicollinearity in linear regression model. It exposes the diagnostic tool condition number to linear regression models with categorical explanatory variables and analyzes how the dummy variables and choice of reference category can affect the degree of multicollinearity. Such an effect is analyzed analytically a...

To understand the potentials of bayesian panel data analysis, simulated data are used to estimate a random effects model. Prior Gaussian distributions of various precision are used to understand the influence of the prior information on continuous, discrete, time varying and time constant variables. It is demonstrated that parameters of dummy variables are far more sensitive to priors than para...

This paper analyzes the effects of socio-economic factors on life expectancy. Using multiple regression analysis, the paper shows that there is a positive strong correlation between life expectancy as an independent variable and per capita income, health expenditures, literacy rate and daily calorie intake. Also, it shows that there is a negative strong correlation between life expectancy and n...

In this research, we propose a novel approach for a multinomial logit model selection procedure: specifically, we apply association rules analysis to identifying potential interactions for multinomial logit modeling. Interaction effects are very common in reality, but conventional multinomial logit model selection methods typically ignore them. This is especially true for higher-order interacti...

We present an overview of three approaches to formal meta-theory: the formal study of properties of deductive systems. The approaches studied are: nameless dummy variables (also called de Bruijn indices) dB72], rst order abstract syntax for terms with higher order abstract syntax for judgements MP93, MP97], and higher order abstract syntax Pfe91].

Fundamental physics and numerous field studies have clearly shown a higher fatality risk for occupants in smaller and lighter vehicles when colliding with the heavier one, especially when the struck vehicle is a passenger car and the striking vehicle is an LTV or an SUV. The consensus is that the significant parameters influencing compatibility in front-to-side crashes are geometric interaction...

This paper suggests that consistently referring to variables as placeholders is an effective countermeasure for addressing a number of the difficulties students’ encounter in learning mathematics. The suggestion is supported by examples discussing ways in which variables are used to express unknown quantities, define functions and express other universal statements, and serve as generic element...