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Articles 1831 - 1860 of 2227

Full-Text Articles in Physical Sciences and Mathematics

Simulation Of Non-Normal Autocorrelated Variables, H.E.T. Holgersson Nov 2005

Simulation Of Non-Normal Autocorrelated Variables, H.E.T. Holgersson

Journal of Modern Applied Statistical Methods

All statistical methods rely on assumptions to some extent. Two assumptions frequently met in statistical analyses are those of normal distribution and independence. When examining robustness properties of such assumptions by Monte Carlo simulations it is therefore crucial that the possible effects of autocorrelation and non-normality are not confounded so that their separate effects may be investigated. This article presents a number of non-normal variables with non-confounded autocorrelation, thus allowing the analyst to specify autocorrelation or shape properties while keeping the other effect fixed.

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Interval Estimation Of Risk Difference In Simple Compliance Randomized Trials, Kung-Jong Lui Nov 2005

Interval Estimation Of Risk Difference In Simple Compliance Randomized Trials, Kung-Jong Lui

Journal of Modern Applied Statistical Methods

Consider the simple compliance randomized trial, in which patients randomly assigned to the experimental treatment may switch to receive the standard treatment, while patients randomly assigned to the standard treatment are all assumed to receive their assigned treatment. Six asymptotic interval estimators for the risk difference in probabilities of response among patients who would accept the experimental treatment were developed. Monte Carlo methods were employed to evaluate and compare the finite-sample performance of these estimators. An example studying the effect of vitamin A supplementation on reducing mortality in preschool children was included to illustrate their practical use.

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Ab/Ba Crossover Trials - Binary Outcome, James F. Reed Iii Nov 2005

Ab/Ba Crossover Trials - Binary Outcome, James F. Reed Iii

Journal of Modern Applied Statistical Methods

On occasion, the response to treatment in an AB/BA crossover trial is measured on a binary variable - success or failure. It is assumed that response to treatment is measured on an outcome variable with (+) representing a treatment success and a (-) representing a treatment failure. Traditionally, three tests for comparing treatment effect have been used (McNemar’s, Mainland-Gart, and Prescott’s). An issue arises concerning treatment comparisons when there may be a residual effect (carryover effect) of a previous treatment affecting the current treatment. A general consensus as to which procedure is preferable is debatable. However, if both group and …

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A Robust Exponentially Weighted Moving Average Control Chart For The Process Mean, Michael B. C. Khoo, S. Y. Sim Nov 2005

A Robust Exponentially Weighted Moving Average Control Chart For The Process Mean, Michael B. C. Khoo, S. Y. Sim

Journal of Modern Applied Statistical Methods

To date, numerous extensions of the exponentially weighted moving average, EWMA charts have been made. A new robust EWMA chart for the process mean is proposed. It enables easier detection of outliers and increase sensitivity to other forms of out-of-control situation when outliers are present.

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Correlation Between The Number Of Epileptic And Healthy Children In Family Size That Follows A Size-Biased Modified Power Series Distribution, Ramalingam Shanmugam, Anwar Hassan, Peer Bilal Ahmad Nov 2005

Correlation Between The Number Of Epileptic And Healthy Children In Family Size That Follows A Size-Biased Modified Power Series Distribution, Ramalingam Shanmugam, Anwar Hassan, Peer Bilal Ahmad

Journal of Modern Applied Statistical Methods

An expression for the correlation between the random number of epileptic and healthy children in family whose size follows a size-biased Modified Power Series Distribution (SBMPSD) is obtained and illustrated. As special cases, results are extracted for size biased Modified Negative Binomial Distribution (SBGNBD), size biased Modified Poisson Distribution (SBGPD) and size biased Modified Logarithmic Series Distribution (SBGLSD).

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Corrections For Type I Error In Social Science Research: A Disconnect Between Theory And Practice, Kenneth Lachlan, Patric R. Spence Nov 2005

Corrections For Type I Error In Social Science Research: A Disconnect Between Theory And Practice, Kenneth Lachlan, Patric R. Spence

Journal of Modern Applied Statistical Methods

Type I errors are a common problem in factorial ANOVA and ANOVA based analyses. Despite decades of literature offering solutions to the Type I error problems associated with multiple significance tests, simple solutions such as Bonferroni corrections have been largely ignored by social scientists. To examine this discontinuity between theory and practice, a content analysis was performed on 5 flagship social science journals. Results indicate that corrections for Type I error are seldom utilized, even in designs so complicated as to almost guarantee erroneous rejection of null hypotheses.

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Interaction Graphs For 4R2N-P Fractional Factorial Designs, M. L. Aggarwal, S. Roy Chowdhury, Anita Bansal, Neena Mital Nov 2005

Interaction Graphs For 4R2N-P Fractional Factorial Designs, M. L. Aggarwal, S. Roy Chowdhury, Anita Bansal, Neena Mital

Journal of Modern Applied Statistical Methods

Interaction graphs have been developed for two-level and three-level fractional factorial designs under different design criteria. A catalogue is presented of all possible non-isomorphic interaction graphs for 4r2n-p (r=1; n=2,…, 10; p=1,…,8 and r=2; n=1,…, 7; p=1,…,7) fractional factorial designs, and nonisomorphic interaction graphs for asymmetric fractional factorial designs under the concept of combined array.

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Model Selection Of Meat Demand System Using The Rotterdam Model And The Almost Ideal Demand System (Aids), Maria Divina S. Paraguas, Anton Abdulbasah Kamil Nov 2005

Model Selection Of Meat Demand System Using The Rotterdam Model And The Almost Ideal Demand System (Aids), Maria Divina S. Paraguas, Anton Abdulbasah Kamil

Journal of Modern Applied Statistical Methods

Aggregated time series data for differentiated meat products namely, beef, pork, poultry, and mutton were used to estimate and analyze Malaysian market demand for meats. The study aimed to select the most appropriate demand model between the equally popular Rotterdam model and the first difference Linear Approximate Almost Ideal Demand System (LA/AIDS) model by using a non-nested test. Both models were accepted, but further diagnostic tests revealed that the first difference LA/AIDS represents more appropriately the Malaysian market demand for meat than the Rotterdam model. Also, the elasticities from the first difference LA/AIDS were found to be more reliable than …

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A Comparison Of Risk Classification Methods For Claim Severity Data, Noriszura Ismail, Abdul Aziz Jemain Nov 2005

A Comparison Of Risk Classification Methods For Claim Severity Data, Noriszura Ismail, Abdul Aziz Jemain

Journal of Modern Applied Statistical Methods

The objective of this article is to compare several risk classification methods for claim severity data by using weighted equation which is written as a weighted difference between the observed and fitted values. The weighted equation will be applied to estimate claim severities which is equivalent to the total claim costs divided by the number of claims.

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Supporting And Preparing Future Decision-Makers With The Needed Tools, Michael Wolf-Branigin Nov 2005

Supporting And Preparing Future Decision-Makers With The Needed Tools, Michael Wolf-Branigin

Journal of Modern Applied Statistical Methods

Supporting and Preparing Future Decision-makers with the Needed ToolsEducational and social service researchers and evaluators continue to develop advanced statistical methods. To ensure that our students have the essential skills as they enter direct service, the focus must be on assuring that they learn readily understandable methods that are appropriate for small samples and use repeated measures.

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Statistical Tests, Tests Of Significance, And Tests Of A Hypothesis Using Excel, David A. Heiser Nov 2005

Statistical Tests, Tests Of Significance, And Tests Of A Hypothesis Using Excel, David A. Heiser

Journal of Modern Applied Statistical Methods

Microsoft’s spreadsheet program Excel has many statistical functions and routines. Over the years there have been criticisms about the inaccuracies of these functions and routines (see McCullough 1998, 1999). This article reviews some of these statistical methods used to test for differences between two samples. In practice, the analysis is done by a software program and often with the actual method used unknown. The user has to select the method and variations to be used, without full knowledge of just what calculations are used. Usually there is no convenient trace back to textbook explanations. This article describes the Excel algorithm …

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Joseph Liouville’S ‘Mathematical Works Of Évariste Galois’, Shlomo S. Sawilowsky, John L. Cuzzocrea Nov 2005

Joseph Liouville’S ‘Mathematical Works Of Évariste Galois’, Shlomo S. Sawilowsky, John L. Cuzzocrea

Journal of Modern Applied Statistical Methods

Liouville’s 1846 introduction to the mathematical works of Galois is translated from French to flowing (American) English. It gave an overview of the tragic circumstances of the undergraduate mathematician whose originality led to major advances in abstract Algebra.

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Determination Of Optimal Block Designs With Pre-Assigned Variance For Elementary Contrasts, Seemon Thomas, Alex Thannippara, S. C. Bagui, D. K. Ghosh Nov 2005

Determination Of Optimal Block Designs With Pre-Assigned Variance For Elementary Contrasts, Seemon Thomas, Alex Thannippara, S. C. Bagui, D. K. Ghosh

Journal of Modern Applied Statistical Methods

A method for obtaining optimal designs from the class of variance balanced and connected designs was developed for comparing treatment effects with a pre-assigned variance. The properties of the C-matrix of a block design are employed in developing this method. Some new results concerning the design parameters and the non-zero characteristic root of the C-matrix are also presented.

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Pietro Paoli, Italian Algebraist, John L. Cuzzocrea, Shlomo S. Sawilowsky Nov 2005

Pietro Paoli, Italian Algebraist, John L. Cuzzocrea, Shlomo S. Sawilowsky

Journal of Modern Applied Statistical Methods

Pietro Paoli was a leading Italian mathematician in the late 18th century. His signed letter pertaining to the death of astronomer Giuseppe Antonio Slop is translated from Italian to flowing (American) English.

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Obituary: Cliff Lunneborg, Jmasm Editors Nov 2005

Obituary: Cliff Lunneborg, Jmasm Editors

Journal of Modern Applied Statistical Methods

No abstract provided.

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Robust Confidence Intervals For Effect Size In The Two-Group Case, H. J. Keselman, James Algina, Katherine Fradette Nov 2005

Robust Confidence Intervals For Effect Size In The Two-Group Case, H. J. Keselman, James Algina, Katherine Fradette

Journal of Modern Applied Statistical Methods

The probability coverage of intervals involving robust estimates of effect size based on seven procedures was compared for asymmetrically trimming data in an independent two-groups design, and a method that symmetrically trims the data. Four conditions were varied: (a) percentage of trimming, (b) type of nonnormal population distribution, (c) population effect size, and (d) sample size. Results indicated that coverage probabilities were generally well controlled under the conditions of nonnormality. The symmetric trimming method provided excellent probability coverage. Recommendations are provided.

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Estimation Of Process Variances In Robust Parameter Designs, T. K. Mak, Fassil Nebebe Nov 2005

Estimation Of Process Variances In Robust Parameter Designs, T. K. Mak, Fassil Nebebe

Journal of Modern Applied Statistical Methods

The modeling of variation through interactions is appealing in crossed array design as it leads to greater robustness to certain type of model misspecification. As an alternative to signal-to-noise analysis, a new, systematic method based on Taguchi type crossed array design is given. It is shown in this article that when fractional factorial design is used for the outer array, the crossed array design is not robust to the presence of noise-noise interactions and a method of rectifying the problem is suggested.

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Testing Normality Against The Laplace Distribution, Taisuke Otsu Nov 2005

Testing Normality Against The Laplace Distribution, Taisuke Otsu

Journal of Modern Applied Statistical Methods

Some normality test statistics are proposed by testing non-nested hypotheses of the normal distribution and the Laplace distribution. If the null hypothesis is normal, the proposed non-nested tests are asymptotically equivalent to Geary’s (1935) normality test. The proposed test statistics are compared by the method of approximate slopes and Monte Carlo experiments.

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Sample Size Calculation And Power Analysis Of Time-Averaged Difference, Honghu Liu, Tongtong Wu Nov 2005

Sample Size Calculation And Power Analysis Of Time-Averaged Difference, Honghu Liu, Tongtong Wu

Journal of Modern Applied Statistical Methods

Little research has been done on sample size and power analysis under repeated measures design. With detailed derivation, we have shown sample size calculation and power analysis equations for timeaveraged difference to allow unequal sample sizes between two groups for both continuous and binary measures and explored the relative importance of number of unique subjects and number of repeated measurements within each subject on statistical power through simulation.

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Testing Goodness Of Fit Of The Geometric Distribution: An Application To Human Fecundability Data, Sudhir R. Paul Nov 2005

Testing Goodness Of Fit Of The Geometric Distribution: An Application To Human Fecundability Data, Sudhir R. Paul

Journal of Modern Applied Statistical Methods

A measure of reproduction in human fecundability studies is the number of menstrual cycles required to achieve pregnancy which is assumed to follow a geometric distribution with parameter p. Tests of heterogeneity in the fecundability data through goodness of fit tests of the geometric distribution are developed, along with a likelihood ratio test statistic and a score test statistic. Simulations show both are liberal, and empirical level of the likelihood ratio statistic is larger than that of the score test statistic. A power comparison shows that the likelihood ratio test has a power advantage. A bootstrap p-value procedure using the …

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A Discretized Approach To Flexibly Fit Generalized Lambda Distributions To Data, Steve Su Nov 2005

A Discretized Approach To Flexibly Fit Generalized Lambda Distributions To Data, Steve Su

Journal of Modern Applied Statistical Methods

This article presents a flexible approach to fit statistical distribution to data. It optimizes the bin-width of data histogram to find a suitable generalized lambda distribution. In addition to the default optimization, this approach provides additional flexibility akin to the concepts of loess and kernel smoothing, which allow the users to determine the amount of details they would like to smooth over the data. The approach presented in this article will allow users to visually compare and choose the parameters of generalized lambda distribution that best suit their purposes of study.

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Type I Error Of Four Pairwise Mean Comparison Procedures Conducted As Protected And Unprotected Tests, J. Jackson Barnette, James E. Mclean Nov 2005

Type I Error Of Four Pairwise Mean Comparison Procedures Conducted As Protected And Unprotected Tests, J. Jackson Barnette, James E. Mclean

Journal of Modern Applied Statistical Methods

Type I error control accuracy of four commonly used pairwise mean comparison procedures, conducted as protected or unprotected tests, is examined. If error control philosophy is experimentwise, Tukey’s HSD, as an unprotected test, is most accurate and if philosophy is per-experiment, Dunn-Bonferroni, conducted as an unprotected test, is most accurate.

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A Bayesian Subset Analysis Of Sensory Evaluation Data, Balgobin Nandram Nov 2005

A Bayesian Subset Analysis Of Sensory Evaluation Data, Balgobin Nandram

Journal of Modern Applied Statistical Methods

In social sciences it is easy to carry out sensory experiments using say a J-point hedonic scale. One major problem with the J-point hedonic scale is that a conversion from the category scales to numeric scores might not be sensible because the panelists generally view increments on the hedonic scale as psychologically unequal. In the current problem several products are rated by a set of panelists on the J-point hedonic scale. One objective is to select the best subset of products and to assess the quality of the products by estimating the mean and standard deviation response …

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Estimating The Slope Of Simple Linear Regression In The Presence Of Outliers, Mohammed Al-Haj Ebrahem, Amjad D. Al-Nasser Nov 2005

Estimating The Slope Of Simple Linear Regression In The Presence Of Outliers, Mohammed Al-Haj Ebrahem, Amjad D. Al-Nasser

Journal of Modern Applied Statistical Methods

In this article, an estimation procedure to simple linear regression in the presence of outliers is proposed. The performance of the proposed estimator, the AM estimator, is compared with other traditional estimators: least squares, Theil type repeated median, and geometric mean. A numerical example is given to illustrate the proposed estimator. Simulation results indicate that the proposed estimator is accurate and has a high precision in the presence of outliers.

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Testing For Aptitude-Treatment Interactions In Analysis Of Covariance And Randomized Block Designs Under Assumption Violations, Tim Moses, Alan Klockars Nov 2005

Testing For Aptitude-Treatment Interactions In Analysis Of Covariance And Randomized Block Designs Under Assumption Violations, Tim Moses, Alan Klockars

Journal of Modern Applied Statistical Methods

This study compared the robustness of two analysis strategies designed to detect Aptitude-Treatment Interactions to two of their similarly-held assumptions, normality and residual variance homogeneity. The analysis strategies were the test of slope differences in analysis of covariance and the test of the Block-by- Treatment interaction in randomized block analysis of variance. With equal sample sizes in the treatment groups the results showed that residual variance heterogeneity has little effect on either strategy but nonnormality makes the test of slope differences liberal and the test of the Block-by-Treatment interaction conservative. With unequal sample sizes in the treatment groups the often-reported …

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Selection Of Independent Binary Features Using Probabilities: An Example From Veterinary Medicine, Ludmila I. Kuncheva, Zoë S.J. Hoare, Peter D. Cockcroft Nov 2005

Selection Of Independent Binary Features Using Probabilities: An Example From Veterinary Medicine, Ludmila I. Kuncheva, Zoë S.J. Hoare, Peter D. Cockcroft

Journal of Modern Applied Statistical Methods

Supervised classification into c mutually exclusive classes based on n binary features is considered. The only information available is an n×c table with probabilities. Knowing that the best d features are not the d best, simulations were run for 4 feature selection methods and an application to diagnosing BSE in cattle and Scrapie in sheep is presented.

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Nonparametric Pooling And Testing Of Preference Ratings For Full-Profile Conjoint Analysis Experiments, Rosa Arboretti G., Marco Marozzi, Luigi Salmaso Nov 2005

Nonparametric Pooling And Testing Of Preference Ratings For Full-Profile Conjoint Analysis Experiments, Rosa Arboretti G., Marco Marozzi, Luigi Salmaso

Journal of Modern Applied Statistical Methods

The problem of pooling customer preference ratings within a conjoint analysis experiment has been addressed. A method based on the nonparametric combination of rankings has been proposed to compete with the usual method based on the arithmetic mean. This method is nonparametric with respect to the underlying dependence structure and so no dependence model must be assumed. The two methods have been compared using Spearman’s rank correlation coefficient and related test. Moreover, a further nonparametric testing method has been considered and proposed; this method takes both correlation and distance between ranks into account. By means of a simulation study it …

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Kim And Warde’S Mixed Randomized Response Technique For Complex Surveys, Amitava Saha Nov 2005

Kim And Warde’S Mixed Randomized Response Technique For Complex Surveys, Amitava Saha

Journal of Modern Applied Statistical Methods

The randomized response (RR) technique introduced by Warner (1965) was found to be an effective method for reducing answer bias and ensuring better respondent cooperation in estimating the proportion of people in a community bearing a sensitive attribute. Chaudhuri (2001a, 2001b, 2002, 2003) extended Warner’s method and several other well-known RR devices to complex surveys adopting a varying probability sampling design. Kim and Warde (2004) proposed an RR model assuming that the sample is selected with simple random sampling (SRS) with replacement (SRSWR). Here, the method of estimation is presented when sample is chosen with varying selection probabilities and Kim …

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A Nonrigorous Approach Of Incorporating Sensitizing Rules Into Multivariate Control Charts, Michael B. C. Khoo Nov 2005

A Nonrigorous Approach Of Incorporating Sensitizing Rules Into Multivariate Control Charts, Michael B. C. Khoo

Journal of Modern Applied Statistical Methods

Multivariate control charts are becoming more important in the monitoring of processes in manufacturing industries because the quality of a process is usually determined by several correlated variables (quality characteristics). The most popular multivariate process control procedure is based on the Hotelling control chart. It is used to monitor the mean vector of a process. A nonrigorous approach of using four sensitizing rules is introduced to improve the performance of a conventional Hotelling chart. The use of these rules on a conventional Hotelling chart do not require a transformation of the T2 statistics into normal random variables. Thus, the …

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Inference On (Y < X) In A Pareto Distribution, M. Masoom Ali, Jungsoo Woo Nov 2005

Inference On (Y < X) In A Pareto Distribution, M. Masoom Ali, Jungsoo Woo

Journal of Modern Applied Statistical Methods

Inference on the reliability R = P(Y < X) in a Pareto distribution with a known scale parameter is considered. Point estimates and confidence intervals of R are obtained a test of hypothesis is also considered.

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