Branch of statistics that is not based solely on parametrized families of probability distributions
Nonparametric statistics is a type of statistical analysis that makes minimal assumptions about the underlying distribution of the data being studied. Often these models are infinite-dimensional, rather than finite dimensional, as is parametric statistics.[1] Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used when the assumptions of parametric tests are evidently violated.[2]
^"All of Nonparametric Statistics". Springer Texts in Statistics. 2006. doi:10.1007/0-387-30623-4.
^Pearce, J; Derrick, B (2019). "Preliminary testing: The devil of statistics?". Reinvention: An International Journal of Undergraduate Research. 12 (2). doi:10.31273/reinvention.v12i2.339.
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as is parametric statistics. Nonparametricstatistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used...
Parametric statistics is a branch of statistics which leverages models based on a fixed (finite) set of parameters. Conversely nonparametricstatistics does...
to two other developments in statistical theory: robust statistics and nonparametricstatistics, both of which tried to reduce the sensitivity of statistical...
descriptive statistics, unlike inferential statistics, is not developed on the basis of probability theory, and are frequently nonparametricstatistics. Even...
Nonparametric regression is a category of regression analysis in which the predictor does not take a predetermined form but is constructed according to...
Nonparametric and Semiparametric Methods, Springer-Verlag Berlin Heidelberg 2004, pp. 39–83 Rosenblatt, M. (1956). "Remarks on Some Nonparametric Estimates...
In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Together with rank statistics, order statistics are...
degree-of-freedom of 1. A version of the delta method exists in nonparametricstatistics. Let X i ∼ F {\displaystyle X_{i}\sim F} be an independent and...
Statistics Archived 2021-05-18 at the Wayback Machine Cline, Graysen (2019). Nonparametric Statistical Methods Using R. EDTECH. ISBN 978-1-83947-325-8. OCLC 1132348139...
Springer. ISBN 3-540-13776-9. Conover, W. J. (1971, 1980). Practical nonparametricstatistics. New York: Wiley. ISBN 0-471-16851-3. Bortz, J., Lienert, G. &...
descriptive statistics appropriate for nominal data (number of cases, mode, contingency correlation), should be used.: 678 Nonparametric methods have...
Distributional data analysis is a branch of nonparametricstatistics that is related to functional data analysis. It is concerned with random objects that...
in nonparametricstatistics and a prolific author of books on statistics Irène Gijbels, Belgian mathematical statistician and expert in nonparametric statistics...
subject of the philosophy of statistics, whereas the mathematics of optimization is the subject of nonparametricstatistics. David Cox makes the point [citation...
"Excel:Create a histogram". Terrell, G.R. and Scott, D.W., 1985. Oversmoothed nonparametric density estimates. Journal of the American Statistical Association,...
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