All Questions
Tagged with nonparametric distributions
107
questions
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10
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How to compare peak location and tail length of two different distributions?
I have the distributions of the fraction of people in each income bracket in a town in 1990 and 2020. The total sample size is the same in both, and assume that the incomes have been adjusted to ...
0
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40
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Estimate the likelihood of two continuous samples of unknown distribution
Consider two continuous and unknown distributions
$$X : {x_1, x_2, ..., x_n}$$
and
$$Y : {y_1, y_2, ..., y_n}$$
both can be tagged as time series with $n > 8000$.
I need to estimate the likelihood ...
1
vote
1
answer
70
views
Does taking the ratio of Empirical Distributions (histogram bins) show their differences?
Background
I have two Empirical distributions, both derived from social media data.
The first represents a broad sample of ~4.8 million posts and the number of followers each post author has. The ...
- 635
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149
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Comparing the output distribution of two ML models
Consider a regression task (e.g. predicting house prices) with a given train and test sets.
We start with constructing a linear regression model, in which we assume $y_i=X^T\beta+\epsilon$ with $E[\...
- 4,022
1
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49
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The hunt for a 'nice' flexible distribution [duplicate]
Background
Suppose I have data $\mathcal{D}_1, \cdots, \mathcal{D}_n$ with each $\mathcal{D}_i$ containing $m$ observations $X_{i1}, \cdots, X_{im}$; these observations are of unknown distribution, ...
- 621
5
votes
2
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222
views
Calculation of a nonparametric equal-tailed (central) tolerance interval for an unknown continuous distribution
Assume we have a sample of size $n$ from an unspecified continuous distribution $F(\cdot)$. We wish to construct a tolerance interval to contain $(100\,\beta)\%$ of the population with a pre-specified ...
- 30.9k
2
votes
2
answers
114
views
Distribution and variable analysis
I am doing a statistical test (program used is SPSS). On the basis of distribution and sample size, I have to chose the correct variable analysis. I also have to justify every decision. I have two ...
- 21
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65
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Comparing averages of non normal distributions
I want to compare the daily average revenue of a promotion period (7 days) of a business with the daily average of the rest of the year.
So, sample 1 has 7 data points, whereas sample 2 has 300 data ...
- 1
2
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0
answers
69
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When is the central limit theorem not applied?
I am trying to compare two matched samples. In total I have a sample of 34 people. Each patient receives two treatments, a C1 treatment and a C2 treatment. So each patient will be compared to himself ...
- 919
3
votes
3
answers
146
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Problem with a single outlier, non-normal data, and unequal sample distributions
I am wanting to compare two independent groups on a likert-like item. To explain, the dependent variable is structured so that a 1 = <1 units, 2 = 1-<2, 3 = 2-<3, all the way up to option 7 = ...
- 31
1
vote
1
answer
43
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Which pair of two distributions are more similar?
Suppose I have two pairs of distributions: distributions A and B in Pair 1, distribution C and D in Pair 2. There are non-parametric tests to determine if there is evidence to say that the ...
- 125
4
votes
3
answers
541
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Nonparametric Order Statistics - Does this Exist?
I was reading about order statistics on Wikipedia [retrieved 29 June 2022]:
Apparently, if we have a sample with $k$ elements (e.g., $x_1, x_2, ..., x_k$) and assume a probability distribution for ...
1
vote
1
answer
136
views
Deciding the Number of Clusters : Standard Methods vs. Non-Parametric Methods
I was watching this video over here (https://www.youtube.com/watch?v=UBiaLq5V7mE) that discussed a Non-Parametric based Bayesian approach for deciding the number of clusters in a dataset.
Essentially, ...
-1
votes
1
answer
178
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Independent Sample T-test or Mann-Whitney U test?
I am a very young stats learner, and I need help understanding the justification of a test choice. I have a sample of 39 participants (20 females and 19 males) been measured on task performance, and I ...
- 1
0
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1
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131
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Compare nonparametric distributions
I generated distributions of travel times of commuters using transportation simulation tools (for different scenarios). The distributions are attached below. I wish to statistically compare each pair ...
- 141