Nonparametric Statistical Inference

By Jean Dickinson Gibbons, Subhabrata Chakraborti. International Encyclopedia of Statistical Science, 2020

2,448 citations recorded by the source corpus.

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Citations in the corpus

Methodology and Application of the Kruskal-Wallis Test (2014, background): “The test statistic to be computed if there are no ties (that is, if no two observations are equal) is [4,5]:”
Recent Trends in the Use of Statistical Tests for Comparing Swarm and Evolutionary Computing Algorithms: Practical Guidelines and a Critical Review (2020, background): “This decision is made according to two relevant concepts in the Frequentist paradigm [10, 3, 11]: • α or confidence coefficient: While estimating the difference between the populations, there is a certain confidence level about how likely the true statistic is to lie in the range of estimated differ”
Equiratio cumulative distribution function matching as an improvement to the equidistant approach in bias correction of precipitation (2014, neutral): “Accordingly, the quantile function expresses the quantile values as a function of probabilities (Gibbons and Chakraborti, 2011; Gilchrist, 2000).”
Using connectome-based predictive modeling to predict individual behavior from brain connectivity (2017, methodology): “Use Spearman’s rank correlation as an alternative to Pearson’s correlation if the behavioral data do not follow a normal distribution, and/or if a nonlinear (but monotonic) relationship between brain and behavior is expected 33 .”
(Mixed) Strategy in Oligopoly Pricing: Evidence from Gasoline Price Cycles Before and Under a Timing Regulation (2009, methodology): “2 Harsanyi (1973) shows that almost any mixed strategy equilibrium can be viewed as a pure strategy Bayesian equilibrium in a nearby game in which the payoffs to each player are subject to small and private random variations.”
Safety in numbers: Learning categories from few examples with multi model knowledge transfer (2010, neutral): “The significance of the comparisons are evaluated through the sign test [11].”
The Practicality and Effectiveness of Collaborative Creativity Learning (CCL) Model by Using PhET Simulation to Increase Students’ Scientific Creativity (2018, methodology): “…with PhET simulation was done by analysing the mean of pre-test and post-test scores by using: (a) paired-sample t-test or Wilcoxon's test (Gibbons & Chakraborti, 2011); (b) calculate the average of n-gain by the formula: n-gain = (post-test score / pre-test score) / maximum score -…”
A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms (2011, background): “The differences are ranked according to their absolute values; in case of ties, the practitioner can apply one of the availablemethods existing in the literature [24] (ignore ties, assign the highest rank, compute all the possible assignments and average the results obtained in every application of ”
A Phase I nonparametric Shewhart-type control chart based on the median (2010, methodology): “Chakraborti and Graham [2] presented an overview of the literature on nonparametric control charts.”