Creating A Better Technological Piano Practice Aid With Knowledge Tracing, 2018 University of Colorado, Boulder

#### Creating A Better Technological Piano Practice Aid With Knowledge Tracing, Max Feldkamp

*Keyboard Graduate Theses & Dissertations*

Modern music tutoring software and mobile instructional applications have great potential to help students practice at home effectively. They can offer extensive feedback on what the student is getting right and wrong and have adopted a gamified design with levels, badges, and other game-like elements to help gain wider appeal among students. Despite their advantages for motivating students and creating a safe practice environment, no current music instruction software demonstrates any knowledge about a student’s level of mastery. This can lead to awkward pedagogy and user frustration. Applying Bayesian Knowledge Tracing to tutoring systems provides an ideal way to ...

Regressions Regularized By Correlations, 2018 GfK North America

#### Regressions Regularized By Correlations, Stan Lipovetsky

*Journal of Modern Applied Statistical Methods*

The regularization of multiple regression by proportionality to correlations of predictors with dependent variable is applied to the least squares objective and normal equations to relax the exact equalities and to get a robust solution. This technique produces models not prone to multicollinearity and is very useful in practical applications.

An Explanatory Study On The Non-Parametric Multivariate T2 Control Chart, 2018 Department of Statistics, University of Isfahan, Isfahan, Iran

#### An Explanatory Study On The Non-Parametric Multivariate T2 Control Chart, Abdolrasoul Mostajeran, Nasrolah Iranpanah, Rassoul Noorossana

*Journal of Modern Applied Statistical Methods*

Most control charts require the assumption of normal distribution for observations. When distribution is not normal, one can use non-parametric control charts such as sign control chart. A deficiency of such control charts could be the loss of information due to replacing an observation with its sign or rank. Furthermore, because the chart statistics of T^{2} are correlated, the T^{2} chart is not a desire performance. Non-parametric bootstrap algorithm could help to calculate control chart parameters using the original observations while no assumption regarding the distribution is needed. In this paper, first, a bootstrap multivariate control chart is ...

Optimum Stratification In Bivariate Auxiliary Variables Under Neyman Allocation, 2018 Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, J&K India

#### Optimum Stratification In Bivariate Auxiliary Variables Under Neyman Allocation, Faizan Danish, S.E.H. Rizvi

*Journal of Modern Applied Statistical Methods*

In several situations complete data set of the study variable is unknown that becomes a stumbling block in various stratification techniques in order to obtain stratification points on two way stratification method. In this paper a technique has been proposed under Neyman allocation when the stratification is done oj the two auxiliary variable having one estimation variable under consideration. Due to complexities created by minimal equations approximate optimum strata boundaries has been obtained. Empirical study has been done to illustrate the proposed method when the auxiliary variables have standard Cauchy and power distributions.

An Inferential Method For Determining Which Of Two Independent Variables Is Most Important When There Is Curvature, 2018 University of Southern California, Los Angeles

#### An Inferential Method For Determining Which Of Two Independent Variables Is Most Important When There Is Curvature, Rand Wilcox

*Journal of Modern Applied Statistical Methods*

Consider three random variables *Y*, *X*_{1} and *X*_{2}, where the typical value of *Y*, given *X*_{1} and *X*_{2}, is given by some unknown function *m*(*X*_{1}, *X*_{2}). A goal is to determine which of the two independent variables is most important when both variables are included in the model. Let *τ*_{1} denote the strength of the association associated with *Y* and *X*_{1}, when *X*_{2} is included in the model, and let *τ*_{2} be defined in an analogous manner. If it is assumed that *m*(*X*_{1}, *X*_{2}) is given ...

Single Missing Data Imputation In Pls-Based Structural Equation Modeling, 2018 Texas A & M International University, Laredo

#### Single Missing Data Imputation In Pls-Based Structural Equation Modeling, Ned Kock

*Journal of Modern Applied Statistical Methods*

Missing data, a source of bias in structural equation modeling (SEM) employing the partial least squares method (PLS), are commonly handled with deletion methods such as listwise and pairwise deletion. Missing data imputation methods do not resort to deletion. Five single missing data imputation methods are considered employing the PLS Mode A algorithm of which two hierarchical methods are new. The results of a Monte Carlo experiment suggest that Multiple Regression Imputation yielded the least biased mean path coefficient estimates, followed by Arithmetic Mean Imputation. With respect to mean loading estimates, Arithmetic Mean Imputation yielded the least biased results, followed ...

A New Lifetime Distribution For Series System: Model, Properties And Application, 2018 University of Kashmir, Srinagar, India

#### A New Lifetime Distribution For Series System: Model, Properties And Application, Adil Rashid, Zahooor Ahmad, T R. Jan

*Journal of Modern Applied Statistical Methods*

A new lifetime distribution for modeling system lifetime in series setting is proposed that embodies most of the compound lifetime distribution. The reliability analysis of parent and of sub-models has also been discussed. Various mathematical properties that include moment generating function, moments, and order statistics have been obtained. The newly-proposed distribution has a flexible density function; more importantly its hazard rate function can take up different shapes such as bathtub, upside down bathtub, increasing, and decreasing shapes. The unknown parameters of the proposed generalized family have been estimated through MLE technique. The strength and usefulness of the proposed family was ...

The Transmuted Exponentiated Additive Weibull Distribution: Properties And Applications, 2018 Benha University, Egypt

#### The Transmuted Exponentiated Additive Weibull Distribution: Properties And Applications, Zohdy M. Nofal, Ahmed Z. Afify, Haitham M. Yousof, Daniele Cristina Tita Granzotto, Francisco Louzada

*Journal of Modern Applied Statistical Methods*

A new generalization of the transmuted additive Weibull distribution is proposed by using the quadratic rank transmutation map, the so-called transmuted exponentiated additive Weibull distribution. It retains the characteristics of a good model. It is more flexible, being able to analyze more complex data; it includes twenty-seven sub-models as special cases and it is interpretable. Several mathematical properties of the new distribution as closed forms for ordinary and incomplete moments, quantiles, and moment generating function are presented, as well as the MLEs. The usefulness of the model is illustrated by using two real data sets.

Handling Missing Data In Single-Case Studies, 2018 Indiana University Bloomington

#### Handling Missing Data In Single-Case Studies, Chao-Ying Joanne Peng, Li-Ting Chen

*Journal of Modern Applied Statistical Methods*

Multiple imputation is illustrated for dealing with missing data in a published SCED study. Results were compared to those obtained from available data. Merits and issues of implementation are discussed. Recommendations are offered on primal/advanced readings, statistical software, and future research.

Moment Generating Functions Of Complementary Exponential-Geometric Distribution Based On K-Th Lower Record Values, 2018 Central University Haryana, Mahendergarh, India

#### Moment Generating Functions Of Complementary Exponential-Geometric Distribution Based On K-Th Lower Record Values, Devendra Kumar, Sanku Dey, Mansoor Rashid Malik, Fahad M. Al-Aboud

*Journal of Modern Applied Statistical Methods*

The complementary exponential-geometric (CEG) distribution is a useful model for analyzing lifetime data. For this distribution, some recurrence relations satisfied by marginal and joint moment generating functions of *k*-th lower record values were established. They enable the computation of the means, variances, and covariances of *k*-th lower record values for all sample sizes in a simple and efficient recursive manner. Means, variances, and covariances of lower record values were tabulated from samples of sizes up to 10 for various values of the parameters.

Sample Size For Non-Inferiority Tests For One Proportion: A Simulation Study, 2018 Department of Statistics, University of Ankara, Turkey

#### Sample Size For Non-Inferiority Tests For One Proportion: A Simulation Study, Özlem Güllü, Mustafa Agah Tekindal

*Journal of Modern Applied Statistical Methods*

The objective of non-inferiority trials is to demonstrate the efficiency of a novel treatment whether it is acceptably less or more efficient than a control or active (existing) treatment. They are employed in situations where, when compared to the active treatment, the novel treatment is to be advantageous with higher rates of reliability, compatibility, cost-efficiency, etc. Odds ratio is the most significant measure used in investigating the size of efficiency of treatments relative to one another. The purpose of the study is to calculate and evaluate the sample size under different scenarios based on three different test statistics in non-inferiority ...

Optimal Model Selection For Truncated Data Among Non-Nested Competitive Models, 2018 Malayer University, Malayer, Iran

#### Optimal Model Selection For Truncated Data Among Non-Nested Competitive Models, Parisa Torkaman

*Journal of Modern Applied Statistical Methods*

Selecting a model for incomplete data is an important issue. Truncated data is an example of incomplete data, which sometimes occurs due to inherent limitations. The maximum likelihood estimator features and its asymptotic distribution are studied, and a test statistic among non-nested competitive model of incomplete data is presented, which can select an appropriate model close to the true model. This close-to-true model under the null hypothesis of the equivalency of two competitive models against alternative hypothesis is selected.

Estimation Of Zero-Inflated Population Mean: A Bootstrapping Approach, 2018 University of Wisconsin-Whitewater

#### Estimation Of Zero-Inflated Population Mean: A Bootstrapping Approach, Khyam Paneru, R. Noah Padgett, Hanfeng Chen

*Journal of Modern Applied Statistical Methods*

A mixture model was adopted from the maximum pseudo-likelihood approach under complex sampling designs to estimate the mean of zero-inflated population. To overcome the complexity and assumptions of asymptotic distribution, the maximum pseudo-likelihood function was used, but a bootstrapping procedure was proposed as an alternative. Bootstrap confidence intervals consistently capture the true means of zero-inflated populations of the simulation studies.

Modeling Insurance Claims Using Flexible Skewed And Mixture Probability Distributions, 2018 University of Wisconsin Eau Claire

#### Modeling Insurance Claims Using Flexible Skewed And Mixture Probability Distributions, Aaron J. Leinwander, Mohammad A. Aziz

*Journal of Modern Applied Statistical Methods*

The normal distribution comes as a first choice when fitting real data, but it may not be suitable if the assumed distribution deviates from normality. Flexible skewed distributions are capable of including skewness and taking into account multimodality. They may be applied to find appropriate distributions for describing the claim amounts in insurance. The objective is to model insurance claims using a set of flexible skewed and mixture probability distributions, and to test how well they fit the claims. Results indicate the skew-*t* distribution and alpha-skew Laplace distribution are able to describe unimodal claims accurately, whereas scale mixture of ...

Letter To The Editor: Regarding A Possible Non-Null Interpretation Of The Michelson-Morley Experiment, 2018 Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Italy

#### Letter To The Editor: Regarding A Possible Non-Null Interpretation Of The Michelson-Morley Experiment, Maurizio Consoli

*Journal of Modern Applied Statistical Methods*

The author writes in response to Sawilowsky in *JMASM* 2(2) and 4(1).

The Properties Of Partial Trace And Block Trace Operators Of Partitioned Matrices, 2018 Poznań University Of Technology

#### The Properties Of Partial Trace And Block Trace Operators Of Partitioned Matrices, Katarzyna Filipiak, Daniel Klein, Erika Vojtková

*Electronic Journal of Linear Algebra*

The aim of this paper is to give the properties of two linear operators defined on non-square partitioned matrix: the partial trace operator and the block trace operator. The conditions for symmetry, nonnegativity, and positive-definiteness are given, as well as the relations between partial trace and block trace operators with standard trace, vectorizing and the Kronecker product operators. Both partial trace as well as block trace operators can be widely used in statistics, for example in the estimation of unknown parameters under the multi-level multivariate models or in the theory of experiments for the determination of an optimal designs under ...

Preface: International Conference On Matrix Analysis And Its Applications -- Mattriad 2017, 2018 University of Tampere

#### Preface: International Conference On Matrix Analysis And Its Applications -- Mattriad 2017, Oskar Maria Baksalary, Natalia Bebiano, Heike Fassbender, Simo Puntanen

*Electronic Journal of Linear Algebra*

No abstract provided.

Modified Kernel Density Estimators For Gridded Estimation Of Precipitation Climatologies, 2018 University of Colorado, Boulder

#### Modified Kernel Density Estimators For Gridded Estimation Of Precipitation Climatologies, Gregory Benton

*Applied Mathematics Graduate Theses & Dissertations*

Estimation of gridded precipitation is a major point of interest in climatological and hydro- logical research. Using a novel approach based around kernel density estimation we attempt to improve on a currently available estimators of gridded precipitation in both accuracy and under- standing uncertainty in predictions by generating robust precipitation climatologies. The method is constructed and validated using the United States Historical Climatology Network dataset covering the continental United States with sparse and irregular observation stations and accurate probability distributions that capture seasonal variance in the data are generated. Spatial estimates of local climatologies at arbitrary locations, both in and ...

Model Misspecification And Assumption Violations With The Linear Mixed Model: A Meta-Analysis, 2018 University of Iowa

#### Model Misspecification And Assumption Violations With The Linear Mixed Model: A Meta-Analysis, Brandon Lebeau, Yoon Ah Song, Wei Cheng Liu

*Department of Psychological and Quantitative Foundations Publications*

This meta analysis attempts to synthesize the Monte Carlo literature for the linear mixed model under a longitudinal framework. The empirical type I error rate will serve as the effect size and Monte Carlo simulation conditions will be coded to serve as moderator variables. The type I error rate for the fixed and random effects will be explored as the primary dependent variable. Effect sizes were coded from 13 studies, resulting in a total of 4,002 and 621 effect sizes for fixed and random effects. Meta-regression and proportional odds models were used to explore variation in the empirical type ...

Simple Approximations To The Renewal Function, 2018 University of Nebraska at Omaha

#### Simple Approximations To The Renewal Function, Antonio G. Campbell

*Theses/Capstones/Creative Projects*

In reliability theory, a renewal process is a stochastic model for arrival times or events occurring in a certain system. For a renewal process, it is of interest to be able to estimate the number of events that will occur in the time interval (0, t]. The renewal function, M(t), is the expected value of renewals to occur within the system from (0,t]. It is a solution of the renewal equation. Since closed-form solutions of the renewal equation are mostly non-existent, approximation methods are used. Simpler approximation methods than those currently available are presented and are applied to ...