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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.

1 vote
0 answers
25 views

Paired Non-parametric test with more than 3 groups but just two timepoints

I may not have found the right term to search for, so I am asking what might be a straightforward question: Assume we have an experiment with paired non-normal distributed data, called "Pre" ...
StrugglingStatisticEnthusiast's user avatar
1 vote
0 answers
32 views

Combining Data from Multiple Participants for Statistical Analysis of a Facial Expression Memory Task

Context of the Query: I am working on a project involving a memory task for facial expressions, consisting of two phases: Encoding Phase: In this phase, participants are exposed to 8 virtual ...
StupefiedByYou's user avatar
0 votes
0 answers
26 views

Local linear kernel regression

It is know that the prediction for a given point $x$ is given by: $$\hat{f}_h(x) = \hat{\beta}_0(x)$$ where $$\hat{\beta}(x) = \arg\min_{\beta_0, \beta_1}\sum_{i=1}^nK\left(\frac{x - x_i}{h}\right)(...
user405777's user avatar
5 votes
3 answers
133 views

Non-parametric one-sample mean test for a bounded variable (based on Chebyshev's inequality?)

The problem I have $x_1, \ldots , x_n$ i.i.d. draws from r.v. $X$ such that $0 \leq X \leq 1$, but I can't make any other assumptions about the distribution. I want to test the null hypothesis that $E(...
Martin Modrák's user avatar
3 votes
0 answers
42 views

What is the minimum Pearson sample correlation given a perfect sample rank correlation with no ties? [duplicate]

Let $(X, Y)$ be a random sample of finite size $n$ from a bivariate continuous distribution with unknown parameters $(\rho_{XY},\mu_X,\mu_Y,\sigma_X,\sigma_Y)$. Assume observed values are real numbers ...
virtuolie's user avatar
  • 642
2 votes
0 answers
55 views

expectation functional property

I'm trying to solve the second statement of the following exercise. It is Exercise 2.5 of "All of Nonparametric Statistics, Larry Wasserman". My try: \begin{align} |T(F)-T(G)| &= \left|\...
urikokp's user avatar
  • 31
3 votes
2 answers
204 views

sample size in chi-squared test

The chi-square test of independence is a type of non-parametric test, but in cases of small sample sizes, the Fisher's exact test should be used instead. My understanding of non-parametric methods is ...
Ivan's user avatar
  • 103
0 votes
0 answers
26 views

Statistical test for unequal sample sizes of repeated measures (non-parametric)

I'm looking to understand the differences between various sources (50) that evaluate an event based on 8 ordinal scales (varying from 2 to 4 values) associated with a discrete score between 0 and 10, ...
ron's user avatar
  • 1
22 votes
7 answers
2k views

Isn't it problematic to look at the data to decide to use a parametric vs. non-parametric test?

I've seen in some instances of people mentioning that using a parametric vs. non-parametric approach may be decided by looking at the data. For example this question: nonparametric vs. parametric Isn'...
Coris's user avatar
  • 243
0 votes
0 answers
33 views

How do I get from integral to computational formula of Cramér-von Mises statistic step by step?

My question is related to the calculus procedures behind Cramér-von Mises test. How do I get from integral: to computational formula: of Cramér-von Mises statistic, step by step? I understand the ...
Édio Renato Fávaro's user avatar
0 votes
0 answers
22 views

Statistical Significance Testing for Nested Cross-Validation in ML Experiment

I am currently working on an ML experiment where I use a nested 5-cross validation procedure and obtain a NDCG@10 scores for each test user. I am comparing 6 different ML algorithms and have data for ...
Bernhard's user avatar
  • 101
0 votes
0 answers
14 views

When is Tukey post hoc test result identical to Games Howell post hoc test for Welch ANOVA?

In what situations is the Tukey post hoc test identical to the Games Howell post hoc test? I have an ANOVA analysis where HOV is violated and I have a statistically significant Welch ANOVA result. I ...
L.S.'s user avatar
  • 341
0 votes
0 answers
80 views

Non-Parametric Two Way Within-Subjects ANOVA

I have a dataset with 4 individuals that are measured twice in each of the 5 groups (so in total 40 observations). Subject ID Group Value 1 1 A 45 1 2 A 62 1 1 B 70 1 2 B 37 ... ... ... ... 4 2 ...
mschal's user avatar
  • 1
0 votes
0 answers
26 views

Does the estimate of a nonparametric function changes when adding a parametric component?

I am estimating a semiparametric and a non-parametric model using a GAM function with the package mcgv in R. In particular I am ...
Bob's user avatar
  • 271
0 votes
0 answers
29 views

Why does the Dunn's test in online calculator rejects the null hypothesis while my manual computations cannot reject it?

In my own manual calculations of the Dunn's Test in google sheet, using the formula from a YouTube video, I managed to calculate the same Test Statistic as the online calculator. However, using the ...
FifthRevelathor's user avatar

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