To Appear:
  • Woodrow W. Burchett, Amanda R. Ellis, Solomon W. Harrar, Arne C. Bathke (2015). Nonparametric Inference for Multivariate Data: the Package npmv. Journal of Statistical Software.
  • Martin Happ, Solomon W. Harrar, Arne C. Bathke (2015). Inference for Low- and High-Dimensional Multi-Group Repeated Measures Designs with Unequal Covariance Matrices. Biometrical Journal.
  • Matthias Hirsch, Günter Maresch (2015). Wer denkt räumlicher? Sportler oder Zocker? Informationsblätter der Geometrie (IBDG).
  • Raffaele Nardone, Yvonne Hoeller, Patrick B. Langthaler, Arne C. Bathke, Stefan Golaszewski, Kerstin Schwenker, Francesco Brigo, Eugen Trinka (2015). rTMS of the prefrontal cortex has analgesic effect on neuropathic pain in subjects with spinal cord injury. Spinal Cord.
  • J. Fernández Sánchez, W. Trutschnig: Some members of the class of (quasi-) copulas with given diagonal from the Markov kernel perspective. to appear in Communications in Statistics – Theory and Methods.
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: On the singular components of a copula, to appear in Journal of Applied Probability.
2016:
  • P. Ranacher, R. Brunauer, W. Trutschnig, S. Van der Spek, S. Reich: Why GPS makes distances bigger than they are, International Journal of Geographical Information Science 30, 316-333 (2016), doi:10.1080/13658816.2015.1086924 (open access)
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: Baire category results for exchangeable copulas, Fuzzy Sets and Systems 284, 146-151 (2016) doi:10.1016/j.fss.2015.04.010
2015:
  • Frank Konietschke, Arne C. Bathke, Solomon W Harrar, Markus Pauly (2015): Parametric and Nonparametric Bootstrap Methods for General MANOVA. Journal of Multivariate Analysis, Volume 140, pp.291-301. doi 10.1016/j.jmva.2015.05.001
  • Raffaele Nardone, Yvonne Höller, Arne C. Bathke, Andrea Orioli, Kerstin Schwenker, Vanessa Frey, Stefan Golaszewski, Francesco Brigo, Eugen Trinka (2015). Spinal cord injury affects I-wave facilitation in human motor cortex. Brain Research Bulletin, Volume 116, pp. 93–97. doi:10.1016/j.brainresbull.2015.06.006
  • Raffaele Nardone, Yvonne Hoeller, Aljoscha Thomschewski, Arne C. Bathke, Amanda Ellis, Stefan Golaszewski, Francesco Brigo, Eugen Trinka (2015): Assessment of corticospinal excitability after traumatic spinal cord injury using MEP recruitment curves. Spinal Cord. doi:10.1038/sc.2015.12.
  • Robert B. Jewell, Thomas Robl, Arne C. Bathke, Kaymar Mahboub (2015) Interfacial Bond Between Reinforcing Fibers and CSA Cements: Fiber Pullout Characteristics. In: ACI Materials Journal, Volume 112, 1, pp.39-48. doi: 10.14359/51687234.
  • Wolfgang Voit, Arne C. Bathke (2015): Statistics and Probability at Secondary Schools in the Federal State of Salzburg: An Empirical Study. In: Austrian Journal of Statistics, 44, 17-24. http://www.ajs.or.at/index.php/ajs/article/viewFile/vol44-1-2/49
  • N. Fuchs, Werner Pölz, Arne C. Bathke (2015): Confidence Intervals for Population Means of Partially Paired Observations. Statistical Papers. doi: 10.1007/s00362-015-0686-y S. Gavric, Arne C. Bathke (2015): R in der Schule. Mathematik im Unterricht, Heft Nr. 06, 2015.
  • Yvonne Höller, Raoul Kutil, Lukas Klaffenböck, Aljoscha Thomschewski, Peter M. Höller, Arne C. Bathke, Julia Jacobs, Alexandra C. Taylor, Raffaele Nardone, Eugen Trinka (2015). High-frequency oscillations in epilepsy and surgical outcome. A meta-analysis. Frontiers in Human Neuroscience, Volume 9, October 2015, Article 574. doi: 10.3389/fnhum.2015.00574
  • Raffaele Nardone, Patrick B. Langthaler, Yvonne Höller, Arne C. Bathke, Francesco Brigo, Eugen Trinka (2015). Modulation of non-painful phantom sensation in subjects with spinal cord lesions by means of rTMS. Brain Research Bulletin, Volume 118, pp. 82-86. doi: 10.1016/j.brainresbull.2015.09.006
  • J. Fernández Sánchez, W. Trutschnig: Singularity aspects of Archimedean copulas. Journal of Mathematical Analysis and Applications. Journal of Mathematical Analysis and Applications 432, 103-113 (2015) 10.1016/j.jmaa.2015.06.036
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: A typical copula is singular. Journal of Mathematical Analysis and Applications 430, 517-527 (2015) 10.1016/j.jmaa.2015.05.009
  • J. Fernández Sánchez, W. Trutschnig: Conditioning based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and Iterated Function Systems, Journal of Theoretical Probability 28, 1311–1336 (2015)
  • Fikreta Grabcanovic-Musija, Astrid Obermayer, Walter Stoiber, Wolf-Dietrich Krautgartner, Peter Steinbacher, N. Winterberg, Arne C. Bathke, Michaela Klappacher, Michael Studnicka (2015): Neutrophil extracellular trap (NET) formation characterises stable and exacerbated COPD and correlates with airflow limitation. Respiratory Research, Volume 16, 59. doi 10.1186/s12931-015-0221-7
2014:
  • Aron Patrick, Adam Blandford, Alan Waddell, John Davies, Dick Brown, Karen Wilson, Talina Mathews, Ruth Rowles, Brandon Nuttall, Tim Hughes, Michael Kennedy, Roberta James, Yang Luo, Bryon Ellis, Greg Bone, Will Martin, Arne C. Bathke (2014). Kentucky Energy Profile 2014. Kentucky Energy and Environment Cabinet, October 2014, 114pp. http://energy.ky.gov/Programs/Data%20Analysis%20%20Electricity%20Model/KEP 2014.pdf
  • Mark Hays, Jane H. Hayes, Arne C. Bathke (2014). Validation of Software Testing Experiments: A Meta-Analysis of ICST 2013. ICST 2014, pp.333–342. doi 10.1109/ICST.2014.46.
  • Raffaele Nardone, Yvonne Hoeller, Arne C. Bathke, Peter Hoeller, Piergiorgio Lochner, Frediano Tezzon, Eugen Trinka, Francesco Brigo (2014) Subjective memory impairment and cholinergic transmission: a TMS study. In: Journal of neural transmission. doi: 10.1007/s00702-014-1344-6.
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: Solution to an open problem about a transformation on the space of copulas, Dependence Modeling 2, 65–72 (2014).
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: Multivariate copulas with hairpin support, Journal of Multivariate Analysis 130, 323–334 (2014).
  • W. Trutschnig, J. Fernández Sánchez: Copulas with continuous, strictly increasing singular conditional distribution functions, Journal of Mathematical Analysis and Applications 410, 1014-1027 (2014).
2013:
  • Mark Hays, Jane H. Hayes, Arnold J. Stromberg, Arne C. Bathke (2013). Traceability Challenge 2013: Statistical Analysis for Traceability Experiments: Software Verification and Validation Research Laboratory (SVVRL) of the University of Kentucky. Proceedings of Traceability of Emerging Forms of Software Engineering (TEFSE) 2013, Challenge Track, co-located with ICSE 2013. (peer reviewed), pp.90–94. doi: 10.1109/TEFSE.2013.6620161.
  • Arne C. Bathke, Xin Gao, Frank Konietschke (2013) Comment on ‘Type I Error and Test Power of Different Tests for Testing Interaction Effects in Factorial Experiments’. In: STATISTICA NEERLANDICA, 67, 4, 400-402.
  • F. Durante, J. Fernández Sánchez, W. Trutschnig: On the interrelation between Dempster-Shafer belief structures and their Belief Cumulative Distribution Functions, Knowledge-Based Systems 52, 107–113 (2013).
  • E. de Amo, M. Diaz Carrillo, J. Fernández Sánchez, W. Trutschnig: Some results on homeomorphisms between fractal supports of copulas, Nonlinear Analysis Series A: Theory, Methods & Applications 85, 132-144 (2013).
  • W. Trutschnig: On Cesáro convergence of iterates of the Star Product of copulas, Statistics and Probability Letters 83, 357-365 (2013).
  • W. Trutschnig, J. Fernández Sánchez: Some results on shuffes of two-dimensional copulas, Journal of Statistical Planning and Inference 143, 251-260 (2013).
2012:
  • Solomon W. Harrar, Arne C. Bathke (2012) A modified two-factor multivariate analysis of variance: asymptotics and small sample approximations. In: ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 64, 135-165.
  • Mai Zhou, Arne C. Bathke, Mi-Ok Kim (2012) Empirical Likelihood Analysis for the Heteroscedastic Accelerated Failure Time Model. In: Statistica Sinica, Volume 22, pp.295–316.
  • Edgar Brunner, Arne C. Bathke, Marius Placzek (2012) Estimation of Box’s Epsilon for Low- and High-Dimensional Repeated Measures Designs with Unequal Covariance Matrices. In: Biometrical Journal, 54, 3, S. 301–316.
  • Janet Mannheimer Zydney, Arne C. Bathke, Ted S. Hasselbring (2012) Finding the Optimal Guidance for Enhancing Anchored Instruction. In: Interactive Learning Environments, , http://dx.doi.org/10.1080/10494820.2012.745436.
  • Peter Huggins, Carlena K. Johnson, Angela Schörgendorfer, Sri Putta, Arne C. Bathke, Arnold J. Stromberg, Stephen Randal Voss (2012) Identification of Differentially Expressed Thyroid Hormone Responsive Genes from the Brain of the Mexican Axolotl (Ambystoma mexicanum). In: Comparative Biochemistry and Physiology, Part C, , Volume 155, Issue 1, January 2012, Pages 128-13.
  • R. Mandl, Th. Pühringer, M. Thaler (2012) Analytic Approach to Galileo’s Theorem on the Descent Time Along Two-Chord Paths in a Circle. In: The American Mathematical Monthly, 119, 468-476.
  • W. Trutschnig, J. Fernández Sánchez: Idempotent and multivariate copulas with fractal support, Journal of Statistical Planning and Inference 142, 3086-3096 (2012)
  • W. Trutschnig: Some results on the convergence of (quasi-) copulas, Fuzzy Sets and Systems 191, 113-121 (2012)
2011:
  • Chunxu Liu, Arne C. Bathke, Solomon W. Harrar (2011) A Nonparametric Version of Wilks’ Lambda – Asymptotic Results and Small Sample Approximations. In: STATISTICS & PROBABILITY LETTERS, , Jahrgang 81, S.1502–150.
  • Ke Zhang, Haiyan Wang, Arne C. Bathke, Solomon W. Harrar, Hans-Peter Piepho, Youping Deng (2011) Gene Set Analysis for Longitudinal Gene Expression Data. In: BMC Bioinformatics, doi:10.1186/1471-2105- 12-273. This paper has received the designation ‘Highly accessed’. According to the publisher’s website, “This designation is given to articles that have been especially highly accessed, relative to their age, and the journal in which they were published.”
  • Jianqiang Hao, Arne C. Bathke, Jerry R. Skees, Hongying Dai (2011) Weather Risks, Ratemaking, and Modeling the Tail Distribution: An Application of Extreme Value Theory. In: International Journal of Ecological Economics and Statistics, , Volume 20, W11.
  • Andrew J. Wigginton, Ben F. Brammell, John D. Hepner, Laura A. Fenton, Rodney Umbstead, Li Yinglei, Arne C. Bathke, Gail Brion. (2011) Annual report on the assessment of ecological conditions and contaminant levels at the Paducah Gaseous Diffusion Plant with a reassessment of previous analysis, July 1, 2009 – June 30, 2010. Kentucky Energy and Environment Cabinet, March 2011, 201pp.
  • W. Trutschnig: On a strong metric on the space of copulas and its induced dependence measure, Journal of Mathematical Analysis and Applications 384, 690-705 (2011)
  • A. Colubi, G. González-Rodriguez, M.A. Gil, W. Trutschnig: Nonparametric criteria for supervised classification of fuzzy data, International Journal of Approximate Reasoning 52, 1272-1282 (2011)
2010 And Prior:
  • Arne C. Bathke, Solomon W. Harrar, Haiyan Wang, Ke Zhang, Hans-Peter Piepho (2010). Series of Randomized Complete Block Experiments with Non-normal Data. Computational Statistics and Data Analysis. Volume 54, 7, pp.1840–1857. doi:10.1016/j.csda.2010.02.007.
  • Angela Schörgendorfer, Laurence V. Madden, Arne C. Bathke (2010). Choosing Appropriate Covariance Matrices in a Nonparametric Analysis of Factorials in Block Designs. Journal of Applied Statistics. Volume 38, 4, pp.833–850. doi:10.1080/02664761003692332
  • W. Trutschnig: Characterization of the sendograph-convergence of fuzzy vectors by means of their Lp- and levelwise convergence, Fuzzy Sets and Systems 161, 1064-1077 (2010)
  • Arne C. Bathke (2009). A Unified Approach to Nonparametric Trend Tests for Dependent and Independent Samples. Metrika. Volume 69, pp.17–29. doi 10.1007/s00184-008-0171-x.
  • Arne C. Bathke, Mi-Ok Kim, Mai Zhou (2009). Combined Multiple Testing by Censored Empirical Likelihood. Journal of Statistical Planning and Inference. Volume 139, 3, pp.814–827. doi:10.1016/j.jspi.2008.05.041
  • Terry L. Bunn, Lei Yu, Svetla Slavova, Arne C. Bathke (2009). The Effects of Semi Truck Driver Age, and Gender, and the Presence of Passengers on Collisions with Other Vehicles. Traffic Injury Prevention. Volume 10, 3, pp.266–272. doi: 10.1080/15389580902857622
  • Arne C. Bathke, Solomon W. Harrar, M. Rauf Ahmad (2009). Some Contributions to the Analysis of Multivariate Data. Biometrical Journal. Volume 51, 2, pp.285–303. doi 10.1002/bimj.200800196
  • Arne C. Bathke, Oliver Schabenberger, Randall D. Tobias, Laurence V. Madden (2009). Greenhouse-Geisser Adjustment and the ANOVA-type Statistic: Cousins or Twins? The American Statistician. Volume 63, 3, pp.239–246. doi 10.1198/tast.2009.08187
  • Michael J. Mienaltowski, Liping Huang, David D. Frisbie, C.Wayne McIlwraith, Arnold J. Stromberg, Arne C. Bathke, James N. MacLeod (2009). Transcriptional Profiling Differences for Articular Cartilage and Repair Tissue in Equine Joint Surface Lesions. BMC Medical Genomics, 2:60. doi:10.1186/1755-8794-2-60. http://www.biomedcentral.com/1755-8794/2/60
  • W. Trutschnig, G. González-Rodriguez, A. Colubi, M.A. Gil: A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread, Information Sciences 179, 3964-3972 (2009)
  • G. González-Rodriguez, A. Colubi, W. Trutschnig: Simulation of fuzzy random variables, Information Sciences 179, 642-653 (2009)
  • Terry L. Bunn, Svetla Slavova, Henry A. Spiller, Jonathan Colvin, Arne C. Bathke, Valerie J. Nicholson (2008). The Effect of Poison Control Center Consultation on Accidental Poisoning Inpatient Hospitalizations with Pre-Existing Medical Conditions. Journal of Toxicology and Environmental Health, Part A: Current Issues. Volume 71, Issue 4, pp.283–288.
  • Arne C. Bathke, Solomon W. Harrar (2008). Nonparametric Methods in Multivariate Factorial Designs for Large Number of Factor Levels. Journal of Statistical Planning and Inference. Volume 138, 3, pp.588–610. doi:10.1016/j.jspi.2006.11.004
  • Solomon W. Harrar, Arne C. Bathke (2008). Nonparametric Methods for Unbalanced Multivariate Data and Many Factor Levels. Journal of Multivariate Analysis. Volume 99, 8, pp.1635–1664. doi:10.1016/j.jmva.2008.01.005
  • Arne C. Bathke, Solomon W. Harrar, Laurence V. Madden (2008). How to Compare Small Multivariate Samples Using Nonparametric Tests. Computational Statistics and Data Analysis. Volume 52, 11, pp.4951–4965. doi:10.1016/j.csda.2008.04.006
  • Solomon W. Harrar, Arne C. Bathke (2008). A Nonparametric Version of the Bartlett-Nanda-Pillai Multivariate Test. Asymptotics, Approximations, and Applications. American Journal of Mathematical and Management Sciences. Volume 28, 3-4, pp.309–335.
  • Liping Huang, Wenying Zhu, Christopher P. Saunders, James N. MacLeod, Mai Zhou, Arnold J. Stromberg, Arne C. Bathke (2008). A Novel Application of Quantile Regression for Identification of Biomarkers Exemplified by Equine Cartilage Microarray Data. BMC Bioinformatics, 9:300. doi:10.1186/1471-2105-9-300. http://www.biomedcentral.com/1471-2105/9/300
  • Liping Huang, Naoki Miura, Michael J. Mienaltowski, James N. MacLeod, Arnold J. Stromberg, Arne C. Bathke, Constance L. Wood (2008). Rediscovering the Power of Well-Planned Comparisons: Normalization and Analysis of cDNA Microarray Using Linear Combinations. In: Proceedings of the 2008 Joint Statistical Meetings, Alexandria, VA. American Statistical Association, pp.3432–3439.
  • Chunxu Liu, Arne C. Bathke, Solomon W. Harrar (2008). A Nonparametric Version of Wilks’ Lambda – Asymptotic Results and Small Sample Approximations. In: Proceedings of the 2008 Joint Statistical Meetings, Alexandria, VA. American Statistical Association, pp.3244–3252.
  • W. Trutschnig: A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability, Fuzzy Sets and Systems 159, 259-269 (2008)
  • Liping Huang, Wenying Zhu, Christopher P. Saunders, James N. MacLeod, Mai Zhou, Arnold J. Stromberg, Arne C. Bathke (2007). A Novel Application of Quantile Regression for Identification of Cartilage Biomarkers in Equine Microarray Data. In: Proceedings of the 2007 Joint Statistical Meetings, Alexandria, VA. American Statistical Association, pp.277–284.
  • WonSun Chen, Arne C. Bathke (2007). Testing Treatment-Covariate Interaction in a Nonparametric Analysis of Covariance Model. Communications in Statistics, Theory and Methods. Volume 36, Issue 6, pp.1153–1172.
  • Terry Bunn, Svetla Slavova, Arne C. Bathke (2007). Data Linkage of Inpatient Hospitalization and Workers’ Claims Data Sets to Characterize Occupational Falls. Journal of the Kentucky Medical Association. Volume 105, 7, pp.313–320.
  • Arne C. Bathke, Solomon W. Harrar (2006). Testing Treatment Effects in Multivariate Factorial Designs with Many Factor Levels. In: Proceedings of the 2006 Joint Statistical Meetings, Alexandria, VA. American Statistical Association, pp.1664–1667.
  • Hua Liu, Christopher Saunders, Aaron Borders, Thomas Getchell, Marilyn Getchell, Arnold Stromberg, Arne C. Bathke (2006). Statistical and Graphical Identification of Functional Gene Categories in Microarray Experiments. In: Proceedings of the 2006 Joint Statistical Meetings, Alexandria, VA. American Statistical Association, pp.262–269
  • M. Thaler, R. Zweimüller (2006) Distributional limit theorems in infinite ergodic theory. In: Probability Theory and Related Fields, 135 . Berlin,Heidelberg: Springer-Verlag, 15 – 52.
  • Arne C. Bathke (2005). Testing Monotone Effects of Covariates in Nonparametric Mixed Models. Journal of Nonparametric Statistics. Volume 17, 4, pp.423–439. doi: 10.1080/10485250500038892
  • Arne C. Bathke, Dörte Lankowski (2005). Rank Procedures for a Large Number of Treatments. Journal of Statistical Planning and Inference. Volume 133, 2, pp.223–238.
  • J. Aaronson, M. Thaler, R. Zweimüller (2005) Occupation times of sets of infinite measure for ergodic transformations. In: Ergodic Theory and Dynamical Systems, 25, 959-976.
  • M. Thaler (2005) Asymptotic Distributions and Large Deviations for Iterated Maps with an Indifferent Fixed Point Vol 5 , Nr 3. New jersey-London-Singapore-Beijing-Shanghai-Hong Kong-Taipei-Chennai: World Scientific, 425 – 440.
  • Arne C. Bathke (2004). The ANOVA F Test Can Still be Used in Some Balanced Designs with Unequal Variances and Nonnormal Data. Journal of Statistical Planning and Inference. Volume 126, 2, pp.413–422. doi:10.1016/j.jspi.2003.09.010. This paper has been featured on sciencedirect.com as on of the “top 25 hottest papers” from July to December 2004. It was the overall “hottest paper” from October to December 2004, and the overall “second hottest paper” from July to September 2004. “Hotness” is measured as the number of downloads of this paper from the journal website.
  • Arne C. Bathke, Edgar Brunner (2003). A nonparametric alternative to Analysis of Covariance. In: Recent Advances and Trends in Nonparametric Statistics. Editors: M.G. Akritas and D.N. Politis, Elsevier, Amsterdam. pp.109–120.
  • Arne C. Bathke (2002). ANOVA for a Large Number of Treatments. Mathematical Methods of Statistics. Volume 11, No 1, pp.118–132.
  • M. Thaler (2002) A limit theorem for sojourns near indifferent fixed points of one-dimensional maps. In: Ergodic Theory and Dynamical Systems, 22, 1289-1312.
  • M. Thaler, S. Zeller (2001) Almost sure escape from the unit interval under the logistic map. In: The American Mathematical Monthly, 108, 155-158.
  • Arne C. Bathke (2000). The Hoeffding Decomposition in Linear Models. Mathematica Gottingensis. 17a, pp.1–64, and 17b, pp.65–127.