All Questions

I am conducting a multiple linear regression on data from a cross-sectional study, and I suspect that there is an interaction between my dependent variable (a disease risk marker) and one independent ...

I am conducting a meta-analysis, and my effect sizes are proportions, with a credible interval for weighing. I think I should assume a beta-distribution, but I do not know which package to use. This ...

I wanted to initally test out without dropping any features (Redundant features such as ID are dropped). data_source -> https://archive.ics.uci.edu/ml/datasets/Automobile This was my procedure: 1) ...

Is it possible to set bounds for the variance of Poisson Binomial distribution (upper and lower bounds)? And, is it possible to define such bounds in term of its expectation?

There are many articles about applications of VAE such as image reconstruction, denoising, data compression / augmentation. However, I have not seen an example of embeddings for high dimensional data ...

I have two samples from two different language corpora: Sample one contains 82 verbs, sample 2 contains 89 verbs. I want to compare the frequencies of a particular verb type, let's call them oral ...

I'm a college student and pursuing (in part, at least) a statistics and data science track. Much of my coursework beyond the introductory statistics sequence has involved topics like multiple ...

I have been trying to figure out, whether or not I should use a paired or a non-paired test. My question comes from the fact, that I am trying to get the pseudo median, in order to say that SBP is [x] ...

I have two questions regarding LSTMs: 1) Are LSTMs outputs' have shape/size exactly similar to the input? 2) Can we use LSTMs' intermediate outputs to deduce some sort of predictions? Context: ...

My goal test the statistical significance of the difference in Sharpe ratio between funds A and B. My data I have daily prices from January 23 2008 until 10th of April 2019 (n = 2818 observations). I ...

I would like to know what would be the more appropriate way to compare two gene diversity indices by resampling or bootstrap methods. The data are as follows. In the first sample, I have 23 ...

I am doing multiple imputation using the MICE package on R. My dataset consists of both categorical and continuous variables. After doing say 20 imputations, how should I go about pooling together the ...

I'm learning applications on Central Limit Theorem and got really confused with a few points. Think of an example of applying Central Limit Theorem: We have a whole population of 10 billion items ...

Let us consider the following dataset $ D = \{d1, d2, \cdots, dk\} $ where $ di \in R^n$ for all $1<= i <= n$ and $n, k, i \in N$ A probability distribution $P$ is a function from powerset ...

I am using transfer learning using ResNet50 for snack packets recognition. They are one and another similar in dominant color and shape. Those like in images below. I have about 33 items to ...

I've got a high dimensional Bayesian inversion problem. I've managed to solve the MAP with gradient descent method. I'm struggling to use sampling method to solve the same problem. I wonder does the ...

Is this statement true or false? Please provide justification. The following identity generally holds: ATE = 1/2 ATT + 1/2 ATC, where ATE is the average treatment effect, ATT is the average treatment ...

I'm learning applications on Central Limit Theorem and got really confused with a few points. According to this tutorial, the procedure to apply CLT usually goes like this: So if ...

A probabilistic time series forecast outputs the entire distribution of the forecasted values for a given time point, instead of just a mean or a point forecast. A quantile forecast is forecast ...

Here is my question https://ufile.io/fauzzw09 and this is the SPSS file https://ufile.io/2q45fo1e Vite Sporting Goods Company Through the years, Vite Sporting Goods has been one of the leading ...

I'm interested in using two sinusoidal signals to get a linear transformation to an angle. Basically, I want to create an atan2-like functionality with a small window of two signals that are scaled ...

I have a question around using LDA which may be very foolish but I am still gonna ask anyway. Problem Statement: To classify documents into complaints and queries ...

I want to perform a regression using neural networks. My input has 5 parameters [a, b, c, d, e] and the output is 4 variables [x, y, z, w]. Total number of observations I have is 1000. I wanted to ...

I'm trying to devise a hypothesis test for failure rate data of machines. The gist is that there are some machines in a factory that run all the time. They fail from time to time and are promptly ...

Background I am working with data that looks like this: ...

The question is pretty much in the title, I need to find an approximate distribution of $XY$ when $(X,Y)$ follow a Bivariate Normal Distribution where $X$ and $Y$ are each $N(0,1)$ distributed and $...

Consider a random binary string where each bit can be set to 1 with probability $p$. Let $Z[x,y]$ denote the number of arrangements of a binary string of length $x$ and the $x$-th bit is set to 1. ...

If I have data that looks like below (independent observations), but the red and blue groups are unknown, is there a way to find the optimal number of curves (say, splines) to describe the data? In ...

How to compare which of the following two models is a better fit: M1 $y$ = $\alpha$$X$ + $\epsilon$ M2 $ln(y)$ = $\alpha$$X$ + $\epsilon$ Can we run a test statistic to compare the two models? ...

I have a sample table below with a label, score (the higher the better and vice-versa) and 7 variables that determine the score. var5 and var7 are negatively correlated with the score and the rest are ...

Apologies in advance I new to this forum and to GAM models. I am trying to model complex ecological data. I have programmed a lot of GAM models using the mgcv ...

My research is about comparing K-means and DBSCAN, and Im using unsupervised learning method in clustering. Is it true that the number of cluster in K-means is also the same number as the unique ...

For $n$ i.i.d random variables, we know that the CDF of $min(X_1, X_2, ..., X_n)$ is given by $1−[1−F]^n$, where $F$ is the CDF of $X_i$. I am looking for some real world examples that people employ ...

I am trying to use Auto Arima function for 70 variables. For it I need to create time series 70 times. 5 added 131 characters in body source edit link edited 6 hours ago Saagar 105 inlineside-by-...

Given the following chemical reaction network: $$ X_1 \overset{\beta_1}{\rightharpoonup} 2X_1 $$ $$ X_1 \overset{1}{\rightharpoonup} \emptyset $$ $$ 2X_1 \overset{4}{\rightharpoonup} 3X_1 $$ $$ 3X_1 \...

The chi-squared statistic is defined as \begin{equation} \chi^{2} = \sum_{i=1}^{N} \frac{(O_{i} - E_{i})^{2}}{E_{i}} \end{equation} The $O_{i}$ is observed value and $E_{i}$ is expected value. But ...

For the sake of concreteness, let $X\sim\chi^2(\nu)$ and let $\chi^2_\nu(\alpha)$ be the $1-\alpha$ quantile. We allow $\nu$ to be real-valued. Is it true that $\chi^2_\nu(\alpha)$ is continuous in $\...

I carried out field observations where I counted the number of birds in a plot, I repeated the observation 4 times for different months. The objective of this is to see if land-use influences the ...

I am trying to minimise a likelihood function and estimate the parameter value of $\lambda$ by fitting to the following data. $t$ is the time and $N(t)$ is the population measured at those specific ...

I'm finding one of the hardest parts of studying statistics is just understanding the derivations of the distributions: the T, Chi and the Poisson in particular. I'd love to read a book just on the ...

I am doing a project that is auto-control a set of chillers’ on-off and ice water outlet temperature(iwot). The algorithm I used is deep Q learning. My problem is that I cannot produce next state ...

I am trying to create a lme mixed model in R that accounts for autocorrelation. Here is my starter model: ...

I have a table like ...

Suppose there are 1000 items given 5 labels [A,B,C,D,E]. You observe [750,200,25,25,0]. You want to find out whether items are biased towards being given certain labels. In a standard chi-squared ...

I wanted to use CNNs to classify sentences. The sentences are varying length. I am going to use standard Word Embeddings (any sort of pre-trained vectors) as features for each word then concatenate ...

Please bare with me, I am very new to statistics. I have two data groups (Location A and Location B), at both locations I recorded two variables (Noise and Activity), I am trying to find out how I ...

Need help with this please: if you roll two standard 6-sided die, estimate the probability that the difference between them is 3, 4, or 5 (and not 0, 1, or 2)

These are the ACF and PACF plots of a time series (daily aggregates/counts). The first plot is un-differenced and the second plot is after a seasonal difference of 7 days. My take looking at the ...

Suppose we have a data set $X$ that is split as $X_{\text{train}}$, $X_{\text{val}}$ and $X_{\text{test}}$ and the outcome variable is binary. Let's say we train three different models (logistic ...

I'm interested into sampling from a population, with a long time to get a sample (O(1), usually 1/2 mins), with lots of candidate populations to sample from (running a metaheuristic optimization). I ...