# Questions tagged [subset]

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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21 views

### Model comparison on different datasets + Non-nested model comparison

I actually have two questions. Similar questions unfortunatelly do not answer mine. 1)I realize that with anova(model1,model2) one can only compare two models if ...
14 views

### comparing data subset to whole

I am trying to write a story about my local high school and its gender diversity in AP programs. I have ethnic data for everyone enrolled, and for everyone in AP programs at the school. What/how is ...
27 views

### Should I use AIC / BIC or rather cross validation for discovering gov. equations through linear regression (SINDy)?

I want to use linear regression with very large design matrix for discovery of governing equations to i.e. physical systems. The design matrix would include potential terms that can be part of the ...
8 views

### Variance inequality for nested sets

Let $X, Y,$ and $Z$ are three random variables/vectors, and let $f(., ., .)$ is a real-valued, deterministic function. If $Z$ is independent of $\{X, Y\}$ (e.g., $X, Y, Z$ are independent) then \begin{...
1 vote
46 views

### Linear Regression - Data Subset with Lowest Mean-Squared Error?

Short version: given a linear regression dataset and an integer $K$, what data subset of size $K$ results in linear parameters with the lowest mean squared error on the entire dataset? Long version: ...
18 views

### Determine the likelihood of occurrence of an activity within a subset

I have a monitor that measures dust concentrations around our neighborhood, and from this dataset I subset it into three scenarios to see which scenarios create the most dust. However, when I do this, ...
29 views

### Test subset data with extra variable against predicted value from top model built using full dataset

I am trying to test if a response variable is predicted by spatial/temporal variables + genetics, but I only have genetics data for 25% of the data. Can I test if genetics play a role in the following ...
24 views

### Need help understanding paper by Jolliffe - various methods in choosing subsets for PCA

There's a paper I'm trying to base some work off of called Variable Selection and the Interpretation of Principal Subspaces which uses some various methods to choose subsets of variables. Their ...
43 views

### When is subsetting survey data prior to analysis NOT a problem?

Survey researchers are typically advised to not subset their data prior to analysis because it will produce incorrect variance estimates. My understanding of the inferential issue is that removing ...
10 views

109 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 ...
27 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 ...
632 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 ...
28 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 $\Omega$....
37 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. ...
21 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 ...
1 vote
51 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 ...
334 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, ...
46 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?
42 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 ...
1 vote
18 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 ...
37 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 ...
124 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 ...
1 vote
101 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 ...
1 vote
61 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?
137 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 ...
1 vote
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 ...