Hierarchical linear modeling

\begin{abstract} It is known that Groebner bases is EXP-SPACE in general. We show that this remains true over Boolean rings. \end{abstract} \section{Boolean Rings} Let $\mathbb{F}_2 = \mathbb{Z}/(2)$. Let $R_n = \mathbb{F}_2[x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n]$ and % \footnote{Over $\mathbb{F}_2$, $+$ is the same as $-$.} \[ S_n := \{c^2 -c \,\, | \,\, c \in \{x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n\} \}. \] Let \[ R_n^{\rm b} := R_n / (S_n). \] This is {\em Boolean ring},…

The solution of the Frank and Doris race problem looked to be simple at first. Although Doris speed began faster, Frank gained speed and passed her and thus seemed to be the winner of the race. After looking more closely at the problem I discovered this was not quite the case. I first sketched Frank and Doris given values onto the one Velocity-Time graph. Originally looking at this graph, it looks as if Frank passes Doris at 10 seconds, because that is when his speed becomes greater than Doris’s…

Study Guide: Operations Management: refers to the administration of business practices to create the highest level of efficiency possible within an organization. Operations management is concerned with converting materials and labor into goods and services as efficiently as possible to maximize the profit of an organization. In other words, management of systems or processes that creates goods and/or provides services. Strategy: Strategies provide focus for decision making on how overall…

4.2 Multiple Regression A regression model was run to predict the wine rating from different features (fixed.acidity, volatile.acidity, citric.acid, residual.sugar, chlorides, free.sulfur.dioxide, total.sulfur.dioxide, density, pH, sulfates, alcohol) of wine in R. According to the initial analysis on the distributions of the features, many of those features are right-skewed and thus require log transformation. Forward Selection Algorithm was used to find the best predictive models for wine…

concrete, not all of them are valuable since they are in accordance with many trial and errors. As mentioned earlier, three different models of multiple linear regressing (MLR), artificial neural network (ANN), and ANFIS are used to reach the goal in this study. These models are defined comprehensively in the following sections. 3.1. Multiple Linear Regression Model (MLR) Generally, regression models can be considered as the process of fitting models to data. In order to handle the…

The survey instrument created for this study includes relational questions to discover whether one or more working conditions predicts teacher retention and whether the absence of one or more working conditions predicts the likelihood a teacher will leave teaching or migrate to a new building. The survey contains both Likert-type scaled response ratings and demographic questions designed to identify teacher characteristics such as grade level. There are four constructs in this study: academics…

In his article entitled “Is Google Making Us Stupid?” (2008), Nicholas Carr, a published technology author, argues that the use of the internet has altered the way our mind thinks, the way we communicate, and even the way we read. This affects society in such a way that we are no longer able to focus while reading printed text, let alone online articles with distracting factors such as hyperlinks and flashy pop up ads. Carr provides several sources of anecdotal evidence, case studies, and…

All the scenes in the play were short and barely any characters were called by name. They also did not go in order of the pamphlet that spells “Shakespeare.” Throughout my paper, I try to describe each scene to the best of my ability with the info of which play they are acting out or about just the scenes in general. The beginning of the play began with people cleaning up the stage with brooms. The three people were slouched over sweeping close together. This showed medium topography and close…

First, the variable Percentage Black Students had a medium negative correlation (r = -0.59) to QDI. A linear regression analysis using Black Student Percentage as the independent variable and QDI the dependent variable resulted in a linear regression equation with a y-intercept of 163.11 and a slope of -0.27, which is statistically significant due to a p value of 0.01. The results of the regression analysis for these variables…

The Mandelbrot and Filled Julia Sets The Mandelbrot and Filled Julia Sets are sets of numbers that are composed of complex numbers that do not diverge for varying conditions of the function fc(z)=z²+c. For the Mandelbrot set, the function is iterated from z=0. The filled Julia set holds c constant for any complex number to look at the behavior of the iterated functions for each value of z in the complex plane. Both sets are derived from the iterations of simple functions in the complex plane,…