Questions tagged [multivariate-analysis]

Analyses where there is more than one variable analyzed together at once, and these variables are either dependent (response) ones or the only ones in the analysis. This can be contrasted with "multiple" or "multivariable" analysis, which implies more than one predictor (independent) variable.

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A sufficient algorithm for classification of multivariate time series data

I am looking for an algorithm which would be able to do a binary classification on my data. My data are consisting of $N$ individuals, for each individual I measure various values, i.e., there are $M$ ...
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Mahalanobis distance to detect multivariate outliers [duplicate]

I have to detect outliers on 3 variables. On the internet I found the mahalanobis distance but I understood I can use it only on multivariate normally distributed data, and my data isn't. So, do you ...
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R - How to the new data set (Y) from principal component analysis (PX =Y) [closed]

I have done all my principal component analysis and have my principal components (PC1 & PC2) and I know I have to multiply that by my original data set to get my new reduced data set, but I keep ...
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How to completely remove the influence of a variable y from a variable x

Consider the case where you want to predict a certain objective variable z using an independent variable x. At this time, another independent variable y contains both information about z and ...
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Fitting a multivariate linear regression with different residual variance for each outcome (using a mixed effects model in R)

In a small simulation, I am fitting a multivariate normal model to predict two outcomes Y1 and Y2, while also modelling the covariance between them. This can be done through a mixed effects model (...
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Factor analysis: how to extract the low rank matrix and the diagonal matrix [closed]

The factor analysis model is $x = Rz + \epsilon$ where $z \sim N(0, I)$, $\epsilon \sim N(0, \Psi)$, and $\Psi$ is a diagonal matrix. Let $\Sigma$ be the covariance matrix of $x$, then factor analysis ...
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How to deal with large combinations of factors

I am faced with a new problem that I cannot really tackle with the way I usually do my analyses and would appreciate any input you may have. The research goal is to identify the factors and ...
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Mediation analysis with dependent variables

So I want to investigate whether a difference in variable A partially explains the difference in variable B. But: A consists of A1 and A2, also B of B1 and B2, so I measured both 2 times so I've had a ...
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how to understand the significance of dynamic multiplier?

In below figure, it is written that the results of the dynamic multiplier are significant. How would we reach that kind of result by looking at dm tables?
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When using multi-variate gaussian distribution modelling for anomaly detection, what are the requirements on the data?

I have been studying Prof. Andrew Ng's ML course. He introduces univariate normal distribution and multivariate normal distribution as ways to model data for anomaly detection. There is a comparison ...
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Interaction terms in Cox model - Why does the result when I multiply variables myself?

I have a data set with the following variables: outcome: outcome (value: 0,1) time chemical1:...
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How to identify the observations driving my results

I have an firm-employee linked dataset and I want to find which firms are the most affected by a hiring subsidy, which was implemented for all firms. By which firms I mean which are the ...
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Compare two curriculums?

A number of different courses at our institution teach the same skill. We're looking at developing an overall curriculum for everyone to use while teaching this skill, and would like to compare it to ...
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Comparing time series data with multiple pairs of time series, or difference-in-difference with continuous treatment conditions?

My dataset contains time-series for two variables ($X$ and $Y$) from 2017 to 2020, for each of many different countries. Each country has its own time series for each variable (X_usa, X_india, Y_usa, ...
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how to detect shifts between variables in multivariate time series data

I have a multivariate time series dataset given below: ...
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How to enter multiple response question along with DV response on individual level in Multilevel modelling?

In a survey, along with other questions on participant location etc, I am particularly interested in two questions. Explanatory variable: e.g. Q1 Choose the best three options that describe this ...
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NMDS with species-sites matrix and iterations

How could I conduct an NMDS-ordination for a species-sites matrix with multiple iterations? I know how to conduct a NMDS with a "normal" species-sites matrix, but I couldn't find any ...
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to estimate treatment effect in cross over design with carry over effect

I have a cross over design (AB/BA design) with several longitudinal response variables (ordinal, nominal, continue) Carry over effect was significant. How can I estimate the effect of treatment? I ...
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Factor analysis with scale variables

First time researching database with scaled data, and looking for a helpful hand, a searchword, or a litterature recommendation. A sample group of 800+ participants. Goal X is made on the basis of ...
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Estimating the effect of customer satisfaction scores on retention

I have a dataset for customers with satisfaction scores from one (least satisfied) to five (extremely satisfied) and a binary variable displaying whether they were retained in the next year. The ...
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Multi-Factor Kruskal Wallis Test in R

I have a dataset where the response variable is a non-normally distributed proportion and is heterogenous with respect to all factors. I cannot seem to transform the response variable into anything ...
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How to use multivariate analysis to analyse two simultaneous A/B tests

I am analysing a simple email campaign. We are testing two different subject lines, and two different email bodies. Each combination of subject-body (four total combinations) are sent to equal ...
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Understanding the results of VARX and solving issue with VARXpred using MTS library in R

Here are the first 4 lines of my data Resource Pas-Climate-Flow.csv: My dependent variable is Flow (it’s binomial but I could ...
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Multivariate Box-Jenkins in Python

I have different time series of hourly measures ENERGY_PRICE (What we want to predict) ENERGY PRODUCTION ENERGY DEMAND SOLAR RADIATION WIND SPEED There's some seasonality in the ENERGY PRICE, ...
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How to find a non-linear manifold for an implicit linear function in the neighborhood of a seed point?

I am trying to understand functional analysis as an infinite-dimensional extension of linear-analysis. In this process, I came across the above query and willing to get a solution and validation of ...
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Multivariate Linear Mixed Model with Categorical Predictors? Or MANOVA?

We would like to analyse two continuous reaction measures in a multivariate model using only categorical predictors and are looking for the best model to do it. We are using R, and have not yet seen ...
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What the fundamental subjects and tools should I learn to handle the data and build interfacing model based on the data analysis?

I am going to build a model which is completely dependent on meteorological, environmental, geographical, and other variable related to solar system installation. Load profile data also is going to be ...
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How can I conduct multiple logistice regression with both penalized (firth) method and with cluster effect?

I am trying to conduct multiple logistic regression with cluster effect. I am using R, so I am using lme4 (glmer) package for adding a cluster effect for 15 schools.As I have a rare event ( Yes as 1= ...
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Multivariate multilevel modeling?

I have a lme modeling question that I need your help. I have a set of data from two groups of subjects. All the subjects from each group completed a task. The task consisted of 6 different conditions, ...
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Multiple choice answers and multivariate probit models

I have a survey dataset in which respondents were asked to choose maximum 3 options out of a list of 10 possible answers. I would like to find out how the likelihood of different options being chosen ...
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Goodness of fits tests. Multiple sample test

I have a question. Please help me: Assume we need to test at a particular level (say, 10%) whether clients are equally likely to complain about quality of service at three firm branches. In the ...
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Investigate correlations in dependent variables: interpreting EFA

Background I have a dataset that includes 5 dependent variables (different genes expression levels, all continuous) and independent variables (a categorical variable -treatment-, a few covariates and ...
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Standardizing Multiple Multivariate Time Series

I have a set of devices that I am using to collect data, each device collects a multivariate time series at the same sampling rate. (around 10 minutes). I have done first-order differencing on the ...
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What kind of statistical analysis can I use figure out whether participants have different gaze attention on a specific emotion?

I have collected data for my professors behavioral study. For the selected data, The emotion column is nominal and there are 6 categories/levels. For the participant column, it is also nominal and ...
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R: vegan/permute: additional level of nesting for pseudoreplicates in a split plot

I am trying to investigate how to set up a permutation scheme for community data originating from a split plot experiment with pseudoreplicates at the lowest level. A theoretical design could be the ...
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Multiple Time Series Anomaly Detection

I have several different unlabeled multivariate time series, each drawn from what I believe to be the same distribution, but virtually independent from each other. Each has a different length (in time)...
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Multiple regression coefficients vs pairwise correlations

I have a dataset composed of 6 measured variables (one per column) and i've some questions: I'm doing a multivariate correlation between the first one (let be Y) and the other five variables (X1,.., ...
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Determining coin mint year from a known sample based on elemental composition

I wondered if you could help me with a stats question, please? I have data on the metallic compositions (percentages of specific elements) of 30 coins, each minted in a different year from 1902 to ...
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Conceptual difference between STRESS and SSTRESS

I am studying the difference between STRESS and SSTRESS optimization functions in the context of multidimensional scaling. I have encountered this definition of optimization criteria for the SSTRESS: $...
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Average correlation

In this blog post Extraction of features from a given correlation matrix the author claims: the percentage of variance explained by the first PCA component and the average (absolute) correlation is ...
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Why having a 3rd level nested design, requires the 2nd level random-effects to be shown as a combination 2nd:3rd levels (data provided)

Why when we have a 3-level nested design, the 2nd level is shown as a combination or interaction with the 3rd level i.e., 2nd:3rd? For example, below I have 10 schools (...
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Multivariate Mixed-Effects Model Likelihood

Say we have a mixed-effects model with a single grouping factor, indexed with $i$: $$ y_i = X_i\beta + Z_ib_i + \epsilon_i \\ \epsilon_i \sim \mathcal N(0, \sigma^2) \\ b_i \sim \mathcal N(0, \Sigma) $...
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In GLIM, how do I understand “the link maps mu to the entire real line, from −∞ to +∞”?

I always read in generalised linear model that the link function has to have a 1-1 correspondence from the range of mu to (-infinity, infinity). But, when we look at log link, for instance, it is not ...
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Conjectures regarding EM approximations of mixtures of multivariate normal distributions

Consider $X\in\mathbb{R}^{N\times d}$ containing data for $N$ points in $d$ dimensions drawn from a bimodal multivariate normal distribution, where any row $x$ of $X$ follows the mixed multivariate ...
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Profile analysis treatments

What is the meaning that the treatments are on top of each other in a profile analysis? Does this mean that the treatments are different but the effect is the same accorss all of them?
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How to quantify differences between groups of vectors using linear regression?

I have two groups of spectra, that could be viewed as a vectors with each wn corresponding to the vector's component. I'd like to quantify the difference between these two groups, and I tried to use ...
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A method to avoid running several regression models?

Sometimes I have a research question where I have maybe 10 different outcomes and I am interested in whether any of these 10 outcomes are associated with several other variables, such as weight, ...
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Sas linear regression deciding on subgroups

I want to model the Total Volume as a function of the two variables Units and Price. I want to find out whether to model the total volume on the category as a whole or whether to model total volume by ...
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Formula for estimates of multivariate linear regression

Does anyone have links to a source which gives the mathematics behind how coefficients, standard error's and covariance structures are estimated in multivariate linear regression? There are plenty of ...
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3D Anaylsis of Variance

I have a dataset represented by 3D matrix. There are 400 repeated recordings (trials), each recording takes 200 timesteps, and the recordings are done simultaneously on 40 different channels. I would ...

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