Questions tagged [permutation]

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Quantitative/statistical comparison of two orderings/permutations

There is a couple, say, Theresa and Robert. They assess their preferences on 5 books by ranking them from the most attractive to the least one. Theresa: [0,4,3,2,1]...
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Monte carlo simulation [closed]

I am working with some data with sample size equal to 11, looking for differences between two locations; a and c. Due to the small sample size and the absence of normal distribution I have opted for ...
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When performing randomisation tests on my single-case design data, do I include all participants?

I have just completed a single-case, multiple baseline design study with 5 participants. I was planning to perform visual analysis and randomisation tests (RT). However, 2 participants have >50% ...
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29 views

Probability of n persons picking multiple numbers from N numbers, that all choices are different

Given $N$ distinct numbers, $n$ persons each picks $x_i > 0$ numbers, what is the probability $P$ of them all picking different numbers? The limiting case of $n > N$ is trivial, $P = 0$. Same ...
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Intuition behind permutations + probability

I'm new to stats so I'm struggling to grasp the intuition behind permutations + probability. Would anybody be able to help me with parts (b) and (c) of this question? Any help is greatly appreciated :)...
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What does it mean to “permute” a predictor in the context of random forest?

I am reading the vignette for the R package randomForestExplainer. There the result accuracy_decrease (classification) is defined as mean decrease of prediction ...
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1answer
37 views

Permutations - counting [closed]

Four girls bought each a swimsuit , and they decided to share them . How many days are needed so that each girl will wear each swimsuit once ?
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One sample data with unusual structure, permutation test?

I have N sets, each of them consisting of 1000 integer values. Typically, more than 90 % of values within a set is zero, thus median is zero. The nonzero elements are positive integers. We take N ...
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1answer
44 views

One sample permutation test on skewed data

I have one sample of values, each of them is a z-score from mutually independent z-scored distributions. I aimed at testing that the mean value of the sample is larger than zero. Originally I wanted ...
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10 views

Distribution of a rate in a subsample after permutation of the total dataset

I need to estimate the distribution of a rate in a subsample after permutation of the total dataset. I was wondering whether it's sufficient to use the binomial distribution with the global rate ...
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1answer
26 views

Evaluate clustering accuracy based on an adjacency/similarity/connection matrix

Description In the classification tasks, the classification accuracy is computed by accuracy=n_correct/n_total For example, if I have three samples, and the ...
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Interpretation of the adjusted rand-index

I'm trying to understand the adjusted Rand index for a metric review that I'm doing. I found this question most helpful so far: Calculating the adjusted rand index? https://en.wikipedia.org/wiki/...
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General advice on bootstrapping procedures

This is an open ended question as I am looking for advice and resources. Any suggestions and reference recommendations would help a lot. I have two datasets, each containing $n$ observations, denoted $...
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1answer
85 views

Adjusting P values for multiple comparisons using permutation tests

I have a number of continuous predictors (biomarker measurements) which I would like to test for association with a binary outcome variable (disease status), adjusting for multiple comparisons. As ...
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1k views

Finding most likely permutation

[Hoping that this is the right Stackexchange site; inspired from a true story seen at work] Joe has a measuring instrument and $n$ objects to be measured (say, a scale and $n$ weights). He measures ...
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Can the permutation importance strategy for feature selection be used for time series data?

After having fitted a Random Forest classifier for a binary classification, I want to use the permutation importance strategy for feature selection. However, since this method implies the permutation ...
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1answer
35 views

Probability that Secret Santa arrangement for couples will result in perfect pairings

4 couples, 8 people total, participate in a Secret Santa gift exchange. Call the people A, B, C, D, E, F, G, H. Assume A+B are a married couple. Likewise, assume C+D, E+F, and G+H are all couples. All ...
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2answers
55 views

Probability that Secret Santa arrangement will result in perfect pairings for couples

4 couples, 8 people total, participate in a Secret Santa gift exchange. Call the people A, B, C, D, E, F, G, H. Assume A+B are a married couple. Likewise, assume C+D, E+F, and G+H are all couples. ...
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28 views

Equal probability of random permutations

For $n$ distinct elements $x_1, x_2, .., x_n$. If we generate a random permutation $\pi$ of length n (so of all elements), how to prove that for every $i$th element $\pi_i$ of it, the probability $P(\...
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1answer
60 views

All combinations for a King and Queen (coed) 2's Tournament Pool Sheet (N girls and N guys)

Ok so I have N girls and N guys. I need to create a 2's beach volleyball coed tournament (also known as King and Queen style). I want a list (like Joe and Jill versus Donald and Melania...etc.) of all ...
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232 views

Probabilities arising from permutations

Certain interesting probability functions can arise from permutations. For example, permutations that are sorted or permutations that form a cycle. Inspired by the so-called von Neumann schema given ...