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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.

3 votes
0 answers
38 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
44 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
192 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
24 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
21 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
  • 233
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
14 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
12 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
  • 321
0 votes
0 answers
78 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
22 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
28 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
1 vote
0 answers
29 views

What non-parametric tests can be run to check the mediation analysis, since my data is not normally distributed?

I have two IVs (computed scores from likert scale) and one DV (computed scores from likert scale) IVs are Depression and Anxiety scores and DV is Social Connectedness scores. These are cintnuous. I ...
Muhammad Muneeb -ur-Rehman's user avatar
0 votes
0 answers
32 views

Is bootstrapping inherently Frequentist? If so, how do we do a Bayesian non-parametric two-sample test?

I normally use frequentist statistics but I now want to use Bayesian statistics as I want to carry out a two-sample (randomised control trial) test that includes prior information. I have an existing ...
Amorphia's user avatar
  • 913
0 votes
0 answers
23 views

Appropriate Trend Analysis Test for Small Sample Size

Note: I have read Finding an appropriate trend test but unfortunately this post does not apply for me Suppose I have a small sample of data for 2 numeric variables $T$ and $Y$ where $T$ represents ...
NM_'s user avatar
  • 215
2 votes
4 answers
461 views

I want to show by simulation that the Wilcoxon test is more robust than the Student test for non-normally distributed data

I want to test by simulation that the Wilcoxon test is more robust than the Student test for non-normally distributed data. For example, I'm testing the ...
Seydou GORO's user avatar

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