npordtests: An R Package of Nonparametric Tests for Equality of Location Against Ordered Alternatives

Ordered alternatives are an important statistical problem in many situation such as increased risk of congenital malformation caused by excessive alcohol consumption during pregnancy life test experiments, drug-screening studies, dose-finding studies, the dose-response studies, age-related response. There are numerous other examples of this nature. In this paper, we present the npordtests package to test the equality of locations for ordered alternatives. The package includes the JonckheereTerpstra, Beier and Buning’s Adaptive, Modified Jonckheere-Terpstra, Terpstra-Magel, FerdhianaTerpstra-Magel, KTP, S and Gaur’s Gc tests. A simulation study is conducted to determine which test is the most appropriate test for which scenario and to suggest it to the researchers.

[1]  Chia-Hao Chang,et al.  On the use of Spearman's correlation coefficient for testing ordered alternatives , 2011 .

[2]  Anil Gaur A class of k-sample distribution-free tests for location against ordered alternatives , 2017 .

[3]  Jurg. Hiisler On the two-sample adaptive distribution-free test , 1987 .

[4]  Rhonda C. Magel,et al.  A Nonparametric Test for the Ordered Alternative Based on Kendall's Correlation Coefficient , 2008, Commun. Stat. Simul. Comput..

[5]  Thomas P. Hettmansperger,et al.  A Class of Non-Parametric Tests for Homogeneity Against Ordered Alternatives , 1973 .

[6]  U. Brinkmann,et al.  Functional polymorphisms of the human multidrug-resistance gene: multiple sequence variations and correlation of one allele with P-glycoprotein expression and activity in vivo. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[7]  K. Hirata,et al.  CHST3 and CHST13 polymorphisms as predictors of bosentan‐induced liver toxicity in Japanese patients with pulmonary arterial hypertension , 2018, Pharmacological research.

[8]  J. Pedersen,et al.  A Doppler waveform index to characterize hepatic vein velocity pattern and evaluate hepatic fibrosis , 2008, Journal of clinical ultrasound : JCU.

[9]  S. Rampal,et al.  Association of glucokinase regulatory gene polymorphisms with risk and severity of non-alcoholic fatty liver disease: an interaction study with adiponutrin gene , 2014, Journal of Gastroenterology.

[10]  H. Büning,et al.  An adaptive test against ordered alternatives , 1997 .

[11]  Frederick Van Lente,et al.  Correlation between ammonia levels and the severity of hepatic encephalopathy. , 2003, The American journal of medicine.

[12]  J. Cuzick A Wilcoxon-type test for trend. , 1985, Statistics in medicine.

[13]  Z. Govindarajulu,et al.  c-SAMPLE TESTS OF HOMOGENEITY AGAINST ORDERED ALTERNATIVES , 1971 .

[14]  N. Kamatani,et al.  An SNP in CYP39A1 is associated with severe neutropenia induced by docetaxel , 2012, Cancer Chemotherapy and Pharmacology.

[15]  T. J. Terpstra,et al.  The asymptotic normality and consistency of kendall's test against trend, when ties are present in one ranking , 1952 .

[16]  W. Robert Stephenson,et al.  Nonparametric Statistical Methods for Complete and Censored Data , 2004, Technometrics.

[17]  M. Mitchell,et al.  A Nonparametric Test for the Ordered Alternative Based on Fast Discrete Fourier Transform Coefficient , 2011 .

[18]  Marie Schmidt,et al.  Nonparametrics Statistical Methods Based On Ranks , 2016 .

[19]  Wolfgang Kössler,et al.  Robustness and efficiency of some tests for ordered alternatives in the C-Sample location problem , 1996 .

[20]  John C. Davis,et al.  MRI of the sacroiliac joints in patients with moderate to severe ankylosing spondylitis. , 2006, AJR. American journal of roentgenology.

[21]  J. Gastwirth Asymptotically Most Powerful Rank Tests for the Two-Sample Problem with Censored Data , 1965 .

[22]  Madan L. Puri,et al.  SOME DISTRIBUTION-FREE k-SAMPLE RANK TESTS OF HOMOGENEITY AGAINST ORDERED ALTERNATIVES , 1965 .

[23]  T. Saibara,et al.  Genetic Polymorphisms of the Human PNPLA3 Gene Are Strongly Associated with Severity of Non-Alcoholic Fatty Liver Disease in Japanese , 2012, PloS one.

[24]  C. Le A New Rank Test Against Ordered Alternatives in K‐Sample Problems , 1988 .

[25]  Guogen Shan,et al.  A New Powerful Nonparametric Rank Test for Ordered Alternative Problem , 2014, PloS one.

[26]  Michael R. Chernick,et al.  Pharmaceutical Statistics Using SAS® A Practical Guide , 2008, Technometrics.

[27]  S. Raimondi,et al.  Karyotypic abnormalities create discordance of germline genotype and cancer cell phenotypes , 2005, Nature Genetics.

[28]  Rhonda C. Magel,et al.  A new nonparametric test for the ordered alternative problem , 2003 .

[29]  T. Bradstreet Pharmaceutical Statistics Using SAS: A Practical Guide , 2008 .

[30]  Anil Gaur A new class of distribution-free tests for testing ordered location parameters based on sub-samples , 2014 .

[31]  A. R. Jonckheere,et al.  A DISTRIBUTION-FREE k-SAMPLE TEST AGAINST ORDERED ALTERNATIVES , 1954 .

[32]  L. Hothorn,et al.  Nonparametric Tests for Trend: Jonckheere's Test, a Modification and a Maximum Test , 1998 .