MSCS Faculty Research and PublicationsCopyright (c) 2016 Marquette University All rights reserved.
http://epublications.marquette.edu/mscs_fac
Recent documents in MSCS Faculty Research and Publicationsen-usTue, 28 Jun 2016 02:00:52 PDT3600Mathematical Dispositions and Student Learning: A Metaphorical Analysis
http://epublications.marquette.edu/mscs_fac/423
http://epublications.marquette.edu/mscs_fac/423Mon, 27 Jun 2016 10:28:22 PDTJinfa Cai et al.Prospective K-8 Teachers’ Knowledge of Relational Thinking
http://epublications.marquette.edu/mscs_fac/422
http://epublications.marquette.edu/mscs_fac/422Fri, 24 Jun 2016 09:01:12 PDT
The goal of this study was to examine two issues: First, pre-service teachers’ ability and inclination to think relationally prior to instruction about the role relational thinking plays in the K-8 mathematics curriculum. Second, to examine task specific variables possibly associated with pre-service teachers’ inclination to engage in relational thinking. The results revealed that preservice teachers engage in relational thinking about equality, however, their inclination to do so is rather limited. Furthermore, they tend to engage in relational thinking more frequently in the context of arithmetic than algebra-related tasks. Pre-service teachers’ inclination to engage in relational thinking appeared to also relate to the overall task complexity and the use of variables. Implications of these findings for pre-service teacher education are provided.
]]>
Marta Magiera et al.Pre-service Middle School Teachers’ Knowledge of Algebraic Thinking
http://epublications.marquette.edu/mscs_fac/421
http://epublications.marquette.edu/mscs_fac/421Fri, 24 Jun 2016 08:47:24 PDT
In this study we examined the relationship between 18 pre-service middle school teachers’ own ability to use algebraic thinking to solve problems and their ability to recognize and interpret the algebraic thinking of middle school students. We assessed the pre-service teachers’ own algebraic thinking by examining their solutions and explanations to multiple algebra-based tasks posed during a semester-long mathematics content course. We assessed their ability to recognize and interpret the algebraic thinking of students in two ways. The first was by analyzing the preservice teachers’ ability to interpret students’ written solutions to open-ended algebra-based tasks. The second was by analyzing their ability to plan, conduct, and analyze algebraic thinking (AT) interviews of middle school students during a concurrent semester-long, field-based education class. We used algebraic habits of mind as a framework to identify the algebraic thinking that pre-service teachers exhibited in their own problem solving, and we asked students to use them to analyze the algebraic thinking of middle school students. The data revealed that pre-service teachers’ AT abilities varied across different features of algebraic thinking. In particular, their ability to justify a rule was the weakest of seven AT features. The ability to recognize and interpret the algebraic thinking of students was strongly correlated with the strength of the pre-service teachers’ own algebraic thinking. Implications for mathematics teacher education are discussed.
]]>
Leigh A. Van den Kieboom et al.Pre-Service Teachers’ Knowledge of Algebraic Thinking and the Characteristics of the Questions Posed for Students
http://epublications.marquette.edu/mscs_fac/420
http://epublications.marquette.edu/mscs_fac/420Thu, 23 Jun 2016 11:42:48 PDT
In this study, we explored the relationship between the strength of pre-service teachers’ algebraic thinking and the characteristics of the questions they posed during cognitive interviews that focused on probing the algebraic thinking of middle school students. We developed a performance rubric to evaluate the strength of pre-service teachers’ algebraic thinking across 130 algebra-based tasks. We used an existing coding scheme found in the literature to analyze the characteristics of the questions pre-service teachers posed during clinical interviews. We found that pre-service teachers with higher algebraic thinking abilities were able to pose probing questions that uncovered student thinking through the use of follow up questions. In comparison, pre-service teachers with lower algebraic thinking abilities asked factual questions; moving from one question to the next without posing follow up questions to probe student thinking.
]]>
Leigh A. Van den Kieboom et al.Progress On Physical Mapping Of The Gene-Space Of Barley
http://epublications.marquette.edu/mscs_fac/419
http://epublications.marquette.edu/mscs_fac/419Wed, 22 Jun 2016 12:35:16 PDTKavitha Madishetty et al.Contig Assembly Of Gene-Containing BACs Of Barley
http://epublications.marquette.edu/mscs_fac/418
http://epublications.marquette.edu/mscs_fac/418Wed, 22 Jun 2016 12:26:20 PDTYaqin Ma et al.Coupling ESTs, SNPs, BACs, Mapping Populations, Flow-Sorting And Synteny To Access The Barley Genome
http://epublications.marquette.edu/mscs_fac/417
http://epublications.marquette.edu/mscs_fac/417Wed, 22 Jun 2016 12:05:06 PDTTimothy J. Close et al.Updates On Contig Assembly With Gene-Containing BACs Of Barley
http://epublications.marquette.edu/mscs_fac/416
http://epublications.marquette.edu/mscs_fac/416Wed, 22 Jun 2016 11:00:19 PDTYaqin Ma et al.A Compartmentalized Approach To The Assembly Of Physical Maps
http://epublications.marquette.edu/mscs_fac/415
http://epublications.marquette.edu/mscs_fac/415Wed, 22 Jun 2016 10:41:19 PDTSerdar Bozdag et al.Genome Resources For Cowpea Genotype IT97K-499-35
http://epublications.marquette.edu/mscs_fac/414
http://epublications.marquette.edu/mscs_fac/414Wed, 22 Jun 2016 10:29:33 PDTTimothy J. Close et al.A Feature Selection Algorithm to Compute Gene Centric Methylation from Probe Level Methylation Data
http://epublications.marquette.edu/mscs_fac/413
http://epublications.marquette.edu/mscs_fac/413Fri, 17 Jun 2016 12:31:03 PDT
DNA methylation is an important epigenetic event that effects gene expression during development and various diseases such as cancer. Understanding the mechanism of action of DNA methylation is important for downstream analysis. In the Illumina Infinium HumanMethylation 450K array, there are tens of probes associated with each gene. Given methylation intensities of all these probes, it is necessary to compute which of these probes are most representative of the gene centric methylation level. In this study, we developed a feature selection algorithm based on sequential forward selection that utilized different classification methods to compute gene centric DNA methylation using probe level DNA methylation data. We compared our algorithm to other feature selection algorithms such as support vector machines with recursive feature elimination, genetic algorithms and ReliefF. We evaluated all methods based on the predictive power of selected probes on their mRNA expression levels and found that a K-Nearest Neighbors classification using the sequential forward selection algorithm performed better than other algorithms based on all metrics. We also observed that transcriptional activities of certain genes were more sensitive to DNA methylation changes than transcriptional activities of other genes. Our algorithm was able to predict the expression of those genes with high accuracy using only DNA methylation data. Our results also showed that those DNA methylation-sensitive genes were enriched in Gene Ontology terms related to the regulation of various biological processes.
]]>
Brittany Baur et al.An Approach for Ensuring Robust Safeguard against Location Privacy Violation
http://epublications.marquette.edu/mscs_fac/412
http://epublications.marquette.edu/mscs_fac/412Tue, 14 Jun 2016 12:11:32 PDT
The challenge of preserving user’s location privacy is more important now than ever before with the proliferation of handheld devices and the pervasive use of location based services. To protect location privacy, we must ensure k-anonymity so that the user remains indistinguishable among k-1 other users. There is no better way but to use a location anonymizer (LA) to achieve k-anonymity. However, its knowledge of each user’s current location makes it susceptible to be a single-point-of-failure. In this paper, we propose a formal location privacy framework, termed SafeGrid that can work with or without an LA. In SafeGrid, LA is designed in such a way that it is no longer a single point of failure. In addition, it is resistant to known attacks and most significantly, the cloaking algorithm it employs meets reciprocity condition. Simulation results exhibit its better performance in query processing and cloaking region calculation compared with existing solutions. As an added feature, in SafeGrid a user has the option of not using LA, yet achieving as much obfuscation (deliberate degradation of location data) as needed without ever sacrificing performance gain.
]]>
Sheikh Iqbal Ahamed et al.Collective estimation of multiple bivariate density functions with application to angular-sampling-based protein loop modeling
http://epublications.marquette.edu/mscs_fac/411
http://epublications.marquette.edu/mscs_fac/411Thu, 09 Jun 2016 06:48:44 PDT
This article develops a method for simultaneous estimation of density functions for a collection of populations of protein backbone angle pairs using a data-driven, shared basis that is constructed by bivariate spline functions defined on a triangulation of the bivariate domain. The circular nature of angular data is taken into account by imposing appropriate smoothness constraints across boundaries of the triangles. Maximum penalized likelihood is used to fit the model and an alternating blockwise Newton-type algorithm is developed for computation. A simulation study shows that the collective estimation approach is statistically more efficient than estimating the densities individually. The proposed method was used to estimate neighbor-dependent distributions of protein backbone dihedral angles (i.e., Ramachandran distributions). The estimated distributions were applied to protein loop modeling, one of the most challenging open problems in protein structure prediction, by feeding them into an angular-sampling-based loop structure prediction framework. Our estimated distributions compared favorably to the Ramachandran distributions estimated by fitting a hierarchical Dirichlet process model; and in particular, our distributions showed significant improvements on the hard cases where existing methods do not work well.
]]>
Mehdi Maadooliat et al.The Transmuted Marshall-Olkin Fréchet Distribution: Properties and Applications
http://epublications.marquette.edu/mscs_fac/410
http://epublications.marquette.edu/mscs_fac/410Fri, 03 Jun 2016 07:29:20 PDT
This paper introduces a new four-parameter lifetime model, which extends the Marshall-Olkin Fréchet distribution introduced by Krishna et al. (2013), called the transmuted Marshall-Olkin Fréchet distribution. Various structural properties including ordinary and incomplete moments, quantile and generating function, Rényi and q-entropies and order statistics are derived. The maximum likelihood method is used to estimate the model parameters. We illustrate the superiority of the proposed distribution over other existing distributions in the literature in modeling two real life data sets.
]]>
Ahmed Z. Afify et al.Characterizations of Distributions via Conditional Expectation of Generalized Order Statistics
http://epublications.marquette.edu/mscs_fac/409
http://epublications.marquette.edu/mscs_fac/409Fri, 03 Jun 2016 07:20:09 PDT
Characterizations of probability distributions by different regression conditions on generalized order statistics has attracted the attention of many researchers. We present here, characterizations of certain continuous distributions based on the conditional expectation of generalized order statistics.
]]>
M. Ahsanullah et al.Kumaraswamy-Half-Cauchy Distribution: Characterizations and Related Results
http://epublications.marquette.edu/mscs_fac/408
http://epublications.marquette.edu/mscs_fac/408Fri, 03 Jun 2016 07:07:03 PDT
We present various characterizations of a recently introduced distribution (Ghosh 2014), called Kumaraswamy- Half- Cauchy distribution based on: (i) a simple relation between two truncated moments; (ii) truncated moment of certain function of the 1^{st} order statistic; (iii) truncated moment of certain function of the random variable; (iv) hazard function; (v) distribution of the 1^{st} order statistic; (vi) via record values. We also provide some remarks on bivariate Gumbel copula distribution whose marginal distributions are Kumaraswamy- Half-Cauchy distributions.
]]>
Gholamhossein Hamedani et al.The Kumaraswamy-G Poisson Family of Distributions
http://epublications.marquette.edu/mscs_fac/407
http://epublications.marquette.edu/mscs_fac/407Fri, 03 Jun 2016 06:44:33 PDT
For any baseline continuous G distribution, we propose a new generalized family called the Kumaraswamy-G Poisson (denoted with the prefix “Kw-GP”) with three extra positive parameters. Some special distributions in the new family such as the Kw-Weibull Poisson, Kw-gamma Poisson and Kw-beta Poisson distributions are introduced. We derive some mathematical properties of the new family including the ordinary moments, generating function and order statistics. The method of maximum likelihood is used to fit the distributions in the new family. We illustrate its potentiality by means of an application to a real data set.
]]>
Manoel Wallace A. Ramos et al.The Kumaraswamy Marshal-Olkin Family of Distributions
http://epublications.marquette.edu/mscs_fac/406
http://epublications.marquette.edu/mscs_fac/406Fri, 03 Jun 2016 06:15:59 PDT
We introduce a new family of continuous distributions called the Kumaraswamy Marshal-Olkin generalized family of distributions. We study some mathematical properties of this family. Its density function is symmetrical, left-skewed, right-skewed and reversed-J shaped, and has constant, increasing, decreasing, upside-down bathtub, bathtub and S-shaped hazard rate. We present some special models and investigate the asymptotics and shapes of the family. We derive a power series for the quantile function and obtain explicit expressions for the moments, generating function, mean deviations, two types of entropies and order statistics. Some useful characterizations of the family are also proposed. The method of maximum likelihood is used to estimate the model parameters. We illustrate the importance of the family by means of two applications to real data sets.
]]>
Morad Alizadeh et al.Characterizations of NWP, ETGR and TWL Distributions
http://epublications.marquette.edu/mscs_fac/405
http://epublications.marquette.edu/mscs_fac/405Tue, 31 May 2016 12:50:32 PDT
Utilizing a simple relationship between two truncated moments as well as certain functions of the 1st and of the nth order statistics, we characterize three extended classes of distributions proposed in (2015).
]]>
Gholamhossein HamedaniCharacterizations of Transmuted Complementary Weibull Geometric Distribution
http://epublications.marquette.edu/mscs_fac/404
http://epublications.marquette.edu/mscs_fac/404Tue, 31 May 2016 12:43:39 PDT
We present certain characterizations of a recently introduced distribution (Afify et al., 2014), called Transmuted Complementary Weibull Geometric distribution based on: hazard function ; a simple relation between two truncated moments. We like to mention that the characterization which is expressed in terms of the ratio of truncated moments is stable in the sense of weak convergence. It does not require a closed form for the cumulative distribution function and serves as a bridge between a first order differential equation and probability.
]]>
Gholamhossein Hamedani