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Full-Text Articles in Other Statistics and Probability
Recursive Marix Game Analysis: Optimal, Simplified, And Human Strategies In Brave Rats, William A. Medwid
Recursive Marix Game Analysis: Optimal, Simplified, And Human Strategies In Brave Rats, William A. Medwid
Master's Theses
Brave Rats is a short game with simple rules, yet establishing a comprehensive strategy is very challenging without extensive computation. After explaining the rules, this paper begins by calculating the optimal strategy by recursively solving each turn’s Minimax strategy. It then provides summary statistics about the complex, branching Minimax solution. Next, we examine six other strategy models and evaluate their performance against each other. These models’ flaws highlight the key elements that contribute to the effectiveness of the Minimax strategy and offer insight into simpler strategies that human players could mimic. Finally, we analyze 123 games of human data collected …
Statistical Theory For Specialized Linear Regression Adjustment Methods Compared To Multiple Linear Regression In The Presence And Absence Of Interaction Effects, Leon Su
Theses and Dissertations--Statistics
When building models to investigate outcomes and variables of interest, researchers often want to adjust for other variables. There is a variety of ways that these adjustments are performed. In this work, we will consider four approaches to adjustment utilized by researchers in various fields. We will compare the efficacy of these methods to what we call the ”true model method”, fitting a multiple linear regression model in which adjustment variables are model covariates. Our goal is to show that these adjustment methods have inferior performance to the true model method by comparing model parameter estimates, power, type I error, …
Muscle Organization In Individuals With And Without Pain And Joint Dysfunction, J. C. Nickel, Y. M. Gonzalez, W. D. Mccall, R. Ohrbach, D. B. Marx, H. Liu, L. R. Iwasaki
Muscle Organization In Individuals With And Without Pain And Joint Dysfunction, J. C. Nickel, Y. M. Gonzalez, W. D. Mccall, R. Ohrbach, D. B. Marx, H. Liu, L. R. Iwasaki
Department of Statistics: Faculty Publications
Central nervous system organization of masticatory muscles determines the magnitude of joint and muscle forces. Validated computer-assisted models of neuromuscular organization during biting were used to determine organization in individuals with and without temporomandibular disorders (TMD). Ninety-one individuals (47 women, 44 men) were assigned to one of four diagnostic groups based on the presence (+) or absence (-) of pain (P) and bilateral temporomandibular joint disc displacement (DD). Electromyography and bite-forces were measured during right and left incisor and molar biting. Two three-dimensional models employing neuromuscular objectives of minimization of joint loads (MJL) or muscle effort (MME) simulated biting tasks. …
Temporomandibular Joint Loads In Subjects With And Without Disc Displacement, Laura R. Iwasaki, Michael J. Crosby, Yoly Gonzalez, Willard D. Mccall, David B. Marx, Richard Ohrbach, Jeffrey C. Nickel
Temporomandibular Joint Loads In Subjects With And Without Disc Displacement, Laura R. Iwasaki, Michael J. Crosby, Yoly Gonzalez, Willard D. Mccall, David B. Marx, Richard Ohrbach, Jeffrey C. Nickel
Department of Statistics: Faculty Publications
The likelihood of development of degenerative joint disease (DJD) of the temporomandibular joint (TMJ) is related to the integrity of the TMJ disc. Predilection for mechanical failure of the TMJ disc may reflect inter-individual differences in TMJ loads. Nine females and eight males in each of normal TMJ disc position and bilateral disc displacement diagnostic groups consented to participate in our study. Disc position was determined by bilateral magnetic resonance images of the joints. Three-dimensional (3D) anatomical geometry of each subject was used in a validated computer-assisted numerical model to calculate ipsilateral and contralateral TMJ loads for a range of …
Temporomandibular Joint Loads In Subjects With And Without Disc Displacement, Laura R. Iwasaki, Michael J. Crosby, Yoly Gonzalez, Willard D. Mccall, David B. Marx, Richard Ohrbach, Jeffrey C. Nickel
Temporomandibular Joint Loads In Subjects With And Without Disc Displacement, Laura R. Iwasaki, Michael J. Crosby, Yoly Gonzalez, Willard D. Mccall, David B. Marx, Richard Ohrbach, Jeffrey C. Nickel
Department of Statistics: Faculty Publications
The likelihood of development of degenerative joint disease (DJD) of the temporomandibular joint (TMJ) is related to the integrity of the TMJ disc. Predilection for mechanical failure of the TMJ disc may reflect inter-individual differences in TMJ loads. Nine females and eight males in each of normal TMJ disc position and bilateral disc displacement diagnostic groups consented to participate in our study. Disc position was determined by bilateral magnetic resonance images of the joints. Three-dimensional (3D) anatomical geometry of each subject was used in a validated computer-assisted numerical model to calculate ipsilateral and contralateral TMJ loads for a range of …