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One set, A, is a subset of another, B, if and only if all elements of A are elements of B.

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SPSS - Analyzing output of bootstrapped samples using Python

I use Python to generate 1000 bootstrapped samples of 4 observations from a dataset of 122 observations and calculate the mean of several variables (C, S, and A) each time. My exact syntax is: ...
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Multi-categorical set balancing

I have a particular mathematical problem that I would name as multi-categorical set balancing. I don't think this is a new problem but I do not know the correct term for it, therefore I am also ...
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53 views

What is it called when we “zoom in” a data distribution?

Suppose we have a 2D distribution of shops in an area. For example, here is a heatmap density plot of (latitude, longitude) location of shops in a province: Now suppose that we "zoom into" the ...
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Is it appropriate to include overlapping sub-scale scores and total-scale scores in a meta-analysis?

Question, brief In a single multi-level meta-analysis, is it appropriate to include subscale scores (which represent part of a measure) in addition to total scale scores (representing the full ...
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19 views

Subset selection with reinforcement learning

I have a set of $N$ items of which a subset of arbitrary size can be chosen. I want a reinforcement learning (RL) agent to perform the subset selection and am unsure how to best design the action ...
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22 views

Q: AUC of each subgroup is smaller than overall AUC

I have a validation data set of 29242 patients, with known labels/health outcomes and predictions that were generated by some model. 28626 patients are negative and 616 are positive The overall AUC is ...
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1answer
30 views

How to test that a subset of data is distributed no differently than original (discrete, not normal)

In the research I am doing we have initially had ~600 samples which had a certain distribution (not normal, although close). The characteristic of these samples that I am interested in is discrete (...
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9 views

How can I redistribute the probability of a partially matching name based on frequency of unmatched word tokens?

I am a computer scientist, not a statistician, so I apologise in advance if I am unaware of common knowledge in this area or if I have explained something poorly. Please feel free to ask for ...
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1answer
33 views

Compact encoding (vectorization) of unbounded sets

Question I have a set of sets. Each set is unbounded. I would like to find a methodology to encode (vectorize) each subset. I am more specifically interested in memory efficient solutions. ...
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15 views

Combining PCAs group of variables

So I want to Research the importance of 6 Group of variables on my dependant variable. I have ~50 variables in 6 Groups (which i Need to keep for my hypothesis). I did a PCA on each Group of Variables ...
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2answers
213 views

Determine how similar groups of data are to each other

I have a pool of 15,000 unique* items. From that set, there are roughly 3200 sets of 60 items, selected non-randomly (in fact, for the sake of the framing of the question, let's say that each item is ...
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1answer
11 views

Inferential considerations when comparing a group against the total

I want to compare the value of a subgroup against the same value in the total population in a regression setting. The easiest way to do it would be to treat the subgroup and the total dataset as two ...
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1k views

How to calculate number of sets in Sigma Algebra

The example 1.2.2 of the book Statistical Inference by Casella and Berger states: if S has n elements, there are 2^n sets...(please see attached). Could you please explain how the authors derived ...
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1answer
40 views

relation between conditional probability of subset and set

Suppose $A\subseteq B $. Can we derive a relationship between P(X|A) and P(X|B) for some X? X is associated with A.
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19 views

Data sub-set question

I have a data set of 15,000 with the following characteristics: median : 3.3 avg : 4.3 st dev : 3.5 kurtosis : 19.05 skew : 3.94 Now from within that I have a smaller sub-set. There are 1,160 in ...
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48 views

Why do subset selection linear models have higher variance than the full model?

I do not get the meaning of this sentences from the Elements of Statistical Learning book when talking about subset selection methods before introducing shrinkage methods. By retaining a subset of ...
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24 views

L sets and Probability theory

I am required to prove the following: Let $L_1$ be the space of real-valued random variables on $(\Omega,\mathscr{A},\mathbb{P})$ which have finite expectation $\mathbb{E}(|X|)<\infty$ and let $...
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42 views

Problem with significance of results from regression on subset of data

I have performed a hedonic regression with a database where all the variables are very significant and according to the calculations made in R with a squared R = 0.6123. I have performed the same ...
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24 views

Represent roles intersections

I have 11 roles, who defines rights (read, edit, write) on my application. For exemple I have "Inventory" who contains ressources_read and ...
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14 views

Converting extrapolation point to interpolation point

Just wondering if this is possible via mathematical conversion. I thought some Kernels might do this in the kernel space. I got curious whether it's possible to create a general method that ...
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1answer
95 views

What statistical distribution test to use for comparing Dataset and its subset? [duplicate]

I have two sets, A and B ,containing height of students. Set A contains height of all students in the class and Set B contains height of some students from the same class. Hence, Set B is a subset of ...
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1answer
25 views

Which is the event, sample and population, notation confusion

I am really struggling with the notation for this. Below is the slide material followed by what I think it means/where I get stuck. "Some unknown real world quantity $\Theta$ takes values in $\Omega$....
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34 views

Determining whether it matters which subset I pick from my dataset

I'm going to simplify my own research problem with the following example: Lets suppose I have N=40 students in my classroom. I need to select 20 of them to participate in a national math competition. ...
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1answer
15 views

Resample dataframe by random subset of years

I have a dataset of 59 years worth of daily rainfall data. I'd like to resample the data by 6 randomly selected years 1,000 times, using the entire year of data for each of the 6 years (so 2190 ...
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34 views

Sample subsets with distribution proportional to elementwise product

I have a set of $n$ elements, $x_1,x_2,\dots,x_n$, each with a weight $w_1, w_2,\dots, w_n$. I want to sample a subset of fixed size $k$ such that the probability of drawing $\{x_a,\dots,x_b\}$ is ...
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1answer
170 views

Unsupervised clustering of sequence of events to subsequences

I have a big dataset of M sequences of [1 - N] events, where each event has multiple properties (start date, end date, location, ...
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39 views

Why is the relationship between max(X,Y) and X and Y the way it is?

My textbook says that the above follows from the observation: $\{W\leq w\}=\{X\leq w\},\{Y\leq w\}$, How do we prove the above observation?
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1answer
31 views

Survival analysis with incomplete data

I would like to estimate the association between exposure to an environmental contaminant and all-cause mortality. Unfortunately the dataset I can get access to is incomplete - exposure data are only ...
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15 views

k-means and (re?) standardisation of a sub-set

I have data which is customer purchases of items in each of three months: I have summed the data over the three months for each customer; calculated the proportion of purchases that each item ...
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1answer
32 views

Dividing datasets into fully-correlating subsets

I have a dataset of $N$ variables of which I know that (at least) one combination of their disjoint subsets results in non-negative correlation coefficients for all variables in these subsets. The ...
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77 views

Finding p-value of similarity between 2 networks

So, I want to calculate p-value of a case if possible. Suppose I have: set A with 1,295 elements set B with 493 elements number of same element between set A and B (intersection) is 478 From each ...
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1answer
68 views

Are the assumptions of subset selection violated of all the data comes from a single person?

I’m interested in using machine learning techniques such as subset selection, lasso and ridge regression to predict which words an individual kid will get wrong. I have about 300 predictors and all my ...
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50 views

Probability that 3 out of 4 sets have non-empty intersection

I have $4$ randomly sampled subsets from population set $S = \{1,2,...,100\}$. Each subset has size $24$. What is the probability that at least one element is common among $3$ out of $4$ subsets?
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81 views

Dealing with many NA's in very large datasets for Lasso

I have a few very large and quite "dirty" (survey) datasets. Primarily, there are lots of NA's. These NA's are mostly the result of different questions being asked in different waves. It is perfectly ...
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1answer
246 views

finding expected value when a set is given and a subset of size n is chosen

I found an interesting coding challenge on pramp by a friend but I couldn't do it in time. Anyhow, it says given a set { 3,14,7,22,29,33} and random 3 element subset is generated each time and its ...
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131 views

Vapnik-Chervonenkis Dimension

My question has to do with the VC dimension of the class of convex polygons with $m$ vertices. A solution to this problem is given in the following: Advanced Algorithms. Call the class of all ...
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1answer
46 views

Why low error indicates better model when only one feature is used?

In this lecture, starting from first minute, there is an example of features for housing application. Let's say number of features is 1. I understand why lowest error indicates better model, but why ...
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1answer
327 views

How to create a subset that respect the same distribution of the original data set?

I have a presumably easy question for you, but I am a real newbie in statistics, so please be patient. I have a data set containing $N$ values that more or less follows a normal distribution. I need ...
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3answers
112 views

Is this an example of a multiple comparisons problem?

I am conducting a comprehensive research determining the effect of 3 independent variables on the metabolic rate of an organism. However, the set-up of my data analysis leads me to believe that I ...
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77 views

How many subsets have n values greater/lesser than values in remaining subset?

For example, given set of ten numbers: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Split into two equal-sized subsets. Multichoose calculates 252 configurations of subsets with 5 values (pick 5 from 10). Only ...
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208 views

Similarity metric for sets of sets of nominal data

I felt it important to include the full motivation for my question, since part of my trouble I think is simply not knowing the terms to search for. Similarity of set of sets and Similarity metric ...
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1answer
65 views

ML method to identify data subset with lower average values?

I have a task where I need to find anomalous groups of observations [y,X] by the average value of y, using the feature set X. A good interpretation is that these are customers and I want to find the ...
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Subset with largest information gain

I am competing in a programming contest where the submission phase can be stated abstractly as follows : There is a known universe set, $U$, and a hidden target $T \subset U$. I submit $S \subset U$, ...
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479 views

Variance of set of subsets

First of all sorry for the sloppy terminology, but I am right looking for the name of a statistical concept. I was asked to calculate the "turnover" of the Facebook friends commenting on my posts, ...
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1answer
129 views

Decompose Covariance by Observations

Suppose I observe $n$ iid realizations of two random variables $X$ and $Y$, denoted respectively $x_i$ and $y_i$. Observations can be groupped into two subsamples, with $n_1$ and $n_2$ observations. I ...
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135 views

How to test whether subgroup is influential in overall group mean? (whether removing a subgroup affects results/all-but-subgroup mean != overall mean)

This question is similar to this one but I want to test whether the all-but-subgroup mean differs from overall group including the subgroup. This is DIFFERENT FROM THAT QUESTION in that the question ...
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280 views

How can I perform a two-sample multivariate t-test where one group is a subset of the other?

Is it possible to compare two means (ideally multivariate) where one comes from a group that is the subset of the other group? E.g. the first group consists of A, B, C, D, E subjects and the second ...
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Heteroscedasticity in Data, none in Subset

This might seem like a trvial questions to some but sadly not me. My dataset has heteroscedasticity and therefore I use a heteroscedasticity consistent standard error estimator (I use the RLM macro ...
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1answer
106 views

Small values are sorted incorrectly, subset() gives wrong data in R [closed]

I have a (gwas-)data where one column is p-value. P-values vary from $1*10^{-8}$ to $1$. I would want to have a subset where I have only values where p-value is $5*10^{-5}$ or lower. I have the ...
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1answer
27 views

Comparing N-way joint frequency distributions of different subsets?

Say I have binary variables: tall basketball player football player vegan programmer student We are also given subsets of a population. My objective is that I want find out what combination of ...

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