Questions tagged [nonparametric]

Use this tag to ask about the nature of nonparametric or parametric methods, or the difference between the two. Nonparametric methods generally rely on few assumptions about the underlying distributions, whereas parametric methods make assumptions that allow data to be described by a small number of parameters.

Most statistical procedures derive their justification from a probability model of the observations to which they are applied. Such a model posits that the data appear to be related in a specific way to draws from some probability distribution that is an unknown member of some family of distributions. The family of distributions for a parametric procedure can be described in a natural way by a finite set of real numbers, the "parameters." Examples include the family of Binomial distributions (which can be parameterized by the chance of a "success") and the family of Normal distributions (usually parameterized by an expectation $\mu$ and variance $\sigma^2$). When such a description is not possible, the procedure is termed "nonparametric." Wikipedia provides a list of some non-parametric procedures.

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What is the difference between distribution free statistics/methods and non-parametric statistics?

From Wikipedia The first meaning of non-parametric covers techniques that do not rely on data belonging to any particular distribution. These include, among others: distribution free methods, which do not rely on assumptions that the data are…
Tim
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What will happen if I use a nonparametric test with normally distributed data?

I was asked if a type I error in the Shapiro-Wilk test would impact the main analysis and if the wrong test was used if it would matter or not if my data was normally distributed...
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What is non-parametric regression?

The screenshot below is from a paper that I am reading and the author says it is a non-parametric regression. The explanation below just seems like a normal OLS with some covariate, fixed effects.. etc. What exactly is a non-parametric regression…
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Test that a sample is non-randomly drawn from a population with arbitrary distribution

I have a dataset in which there are about 500 measurements for a particular scoring metric. The data are normalized so that the mean is 0 and the standard deviation is 1, but the distribution is somewhat arbitrary. Here's a histogram: I have no a…
Mike B
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Advantages and disadvantages of parametric and non-parametric models

I have a large simulated loss data (from catastrophic models developed at my school) to calculate some extreme quantiles. Previously they used non-parametric methods to do this (find the point estimate for these extreme quantiles and CIs). I am…
Melon
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Parametric tests for non-normal data?

I'm trying to polish my stats skills and it seems to me that you have either parametric test for normal data, or non-parametric tests for non-normal data. Looking at the t-test for instance, I don't really see the reason why a similar derivation…
fbence
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Density on $\mathbb{R}^{n}$.

We consider the model of nonparametric regression: $$Y_{i}=f(X_{i})+\xi_{i}$$ with $f:[0,1]\rightarrow \mathbb{R}$, $\xi_{i}$ are i.i.d with density $p_{\xi} $ with respect to the Lebesgue measure on $\mathbb{R}$ and $X_{i}$ are…
user44677
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Non-parametric equality of means test

I'm looking to test for equality of means across different sample sizes of data, but know that the data is not normally distributed and heteroscedastic. Can anyone suggest anything?
user40124
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Understanding the Polya urn model

I am having trouble understanding the plot below (taken from Edwin Chen's blog). What is the x-axis supposed to represent? Shouldn't color be a categorical variable? Does the x-axis have to be on the real line for the Polya urn model? Are we…
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How to estimate Johnson SU parameters with univariate data

I was wondering if there is a way to estimate parameters of Johnson SU distributions parameters with some univariate data.
syang
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How should I handle many-vs.-few balanced single-factor parametric statistical tests?

I'm performing a number of single-factor parametric statistical tests (in my particular case, random-effects meta-analytic linear models, but I guess the problem would be just as relevant with for example one-way ANOVAs) with different amount of…
Speldosa
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Parametric test or nonparametric?

I have 2 groups of sample sizes 10 and 11 respectively. Can I apply a parametric or nonparametric test to find a significant difference in means between the groups?
user28580
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Are "non-parametric" methods well-defined?

I have trouble understanding the delineation of "non-parametric" methods. It seems to me most non-parametric methods are parametric, just on a different space than the "standard ones". Graph-based inferences are often described as non-parametric,…
user4733
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Goodman Gamma for nominal variables

I need to give a direction to the association between an ordinal (independent) and a nominal variable (dependent). This, after having performed a Chi-square test. The ordinal variable is like a blood test score with values (high, low, average) and…
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Why is ordering values necessary for nonparametric regression

Suppose we are want to consider the asset price $P_t$ (business daily) of some stock. The log return is defined as $$X_t:=\log{\frac{P_t}{P_{t-1}}}$$ suppose we are considering the prices between some interval, eg. June 1986 and March 1990). Log…
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