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.
2,127
questions
1
vote
0
answers
4
views
Combining Data from Multiple Participants for Statistical Analysis
My question is: Are there any statistical techniques that allow for the combination of data across multiple participants to form "macro-participants" for the calculation of statistics such ...
0
votes
0
answers
21
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)(...
- 145
2
votes
0
answers
41
views
+100
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(...
- 2,502
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 ...
- 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|\...
- 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 ...
- 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, ...
- 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'...
- 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 ...
0
votes
0
answers
18
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 ...
- 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 ...
- 321
0
votes
0
answers
79
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
...
- 1
0
votes
0
answers
24
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 ...
- 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 ...
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 ...
