# permutation

1. ### determining the most probable permutation of a set

Is there any way to determine the most probable permutation of any given set? For example, given the set of letters SKTANH, is there a way to compute that the most probable sequence of these letters is THANKS? The background behind this question: I've trained a recurrent neural network on...
2. ### Probability with Permutations Question

Hello! This is my first time posting and I would appreciate any help at all! So the problem I'm working on has to do with randomly choosing letters from the alphabet and the probabilities that they make out words. The problem reads as follows: With your eyes closed, you are randomly...
3. ### For the following example, is order meaningful or not?

Consider a hypothetical example. There are 12 tickets for a documentary film and exactly 12 people to buy the tickets (one person can buy only one ticket). There are 3 ticketbooths for selling the tickets and each ticketbooth will sell exactly 4 tickets. Suppose the researcher labels the 12...
4. ### Number of Possible Orders

In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space S for the number of possible orders at the conclusion of the contest for: a) all 8 finalist. b) the first 3 positions. My solutions: a) 8! = 40,320 sample points...
5. ### Question about permutations ANOVA test

Hello everyone, I have data of a variable from 4 sites, with 3 repetitions from each site. Tests revealed that I do have homoscedasticity but no normality. So I chose to use a test of permutations to ANOVA. A few days ago someone told me that I cannot do this test if I have 4 sites and only 3...
6. ### Permutation correlation with one non-normal variable

Hi, I am trying to assess the relationship between a relatively normally distributed variable (brain volume) and a strongly right-skewed behavioral measures, which cannot be transformed to normality. I assume a linear relationship between the two variables. My plan is to calculate the...
7. ### Combination, Permutation or Something Different?

Hi I'm working on a project but I'm not sure if I'm dealing with a Combination, Permutation or something different. I have 5 separate "select groups" - each "select group" has 10 items. The goal is to randomize the list so that I end up with a 5 pack bundle of different items - only 1 item...
8. ### MaxT corrected p value

Hi all, I am trying to permute data and return a maxT p value to adjust for FWER. I have an example of data: SNP1 p value= 0.02 SNP1 permutation p values = 0.03, 0.03, 0.03, 0.04, 0.04. SNP2 p value =0.03 SNP2 permutation p values = 0.4,0.5,0.5,0.6,0.7 SNP3 p value = 0.3 SNP3 p...
9. ### Repeated measures GLM - restricted permutations

Hi all, I have some multivariate data (species counts) and want to investigate the effect of some treatment over time. I am using the mvabund package in R, which fits a separate GLM to each species. Specifically, my data are invertebrate taxa collected from pitfall traps under two...
10. ### Grouping data segments and applying % modifiers to maximise output

I'm trying to determine the best way to approach an optimization problem, but have been struggling to determine what statistical methods are appropriate. I've search for a few hours and nothing seems to click as an accurate approach. I have a day of data, broken down into hourly segments. For...
11. ### Equal chance of random selection when halves of set are balanced?

Design: For 18 trials numbers (either 0 or 1) are randomly selected, a random portion of the first 9 are 0 and the last 9 are set as the opposite number of 0s. Within the first and last 9 the 0 or 1s are randomly assorted. The numbers are described as being in 3 consecutive groups of 6 called...
12. ### Permutation F test - what is the correct F statistic to use?

Hi all, I'm currently using an ANOVA to analyse some data sets, recently it occurred to me that the data may not be normally distributed - at all. So I decided to 'upgrade' to using a permutation F test which is apparently much more robust in the face of not-normally distributed data. The...
13. ### NEED HELP URGENT! Probability Question

How can we arrange 10 boys and 15 girls in such way that no two boys are adjacent to each other? Please help math geniuses.
14. ### Calculate values for all permutations of categorical variables

Hi all, So my particular approach may be completely wrong, so let me provide a high level goal first: The data I'm working with is visitor demographic features with a score. Currently I am using 14 demographic features, each with up to 5 levels. I want determine which partition of...
15. ### Number of possible combinations in a DNA sequence with mutations

Hi guys! I'm a bit stuck and hopefully someone can help. :) There is a fixed DNA sequence (242 nucleotides long) with few random mutations (5 nucleotides are different from the original sequence). These 5 nucleotides can be different anywhere in the sequence. Let's just assume that...
16. ### permutations and confidence intervals

Hello! I am in need of a little guidance on a stat problem... I've performed a permutation on two data sets, in R, regarding sunblock efficacy, and have concluded that in any permutation, there is only one instance of matching efficacy, the original data set. now I have to find a 95% C.I...
17. ### Permutation problem (password)

Hello all, I have been struggling with this problem for a while and I would really appreciate it if you can explain it to me. A computer hacker is trying to break into a computer system by guessing the system administrator's password. The hacker can try 8 passwords a minute, but if he...
18. ### Feedback sought on finding a probability based on a permutation / binomial D

Hi everyone, I've just signed up and I'm posting this here (and not in the other probability section) since it's not a course or homework problem. Nonetheless it may appear as simple and straightforward to someone versed in probability stuff... It's for a research project I'm assisting and...
19. ### Throwing a die 7 times

Hello, my problem is as follows: Throw a die 7 times. i) What is the probability that you get number 6 twice and all other numbers (1,2,3,4,5) once. (e.g. one possible set of outcomes would be 6, 6, 5, 4, 3, 2, 1) ii) What is the probability that you get all the numbers of a die...