Questions tagged [multivariate-regression]

Regression with more than one response (dependent) variable.

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Multivariate multiple regression in R

I have 2 dependent variables (DVs) each of whose score may be influenced by the set of 7 independent variables (IVs). DVs are continuous, while the set of IVs consists of a mix of continuous and ...
127k views

Explain the difference between multiple regression and multivariate regression, with minimal use of symbols/math

Are multiple and multivariate regression really different? What is a variate anyways?
16k views

Why do we need multivariate regression (as opposed to a bunch of univariate regressions)?

I just browsed through this wonderful book: Applied multivariate statistical analysis by Johnson and Wichern. The irony is, I am still not able to understand the motivation for using multivariate (...
1k views

Regression analysis with factor scores as explanatory variable

I intend to use factor scores as derived from exploratory factor analysis in subsequent multivariate regression analysis, as an explanatory variable. I've read in multiple books/papers that ...
2k views

Casting a multivariate linear model as a multiple regression

Is recasting a multivariate linear regression model as a multiple linear regression entirely equivalent? I'm not referring to simply running $t$ separate regressions. I have read this in a few ...
3k views

Multivariate linear regression vs. several univariate regression models

In the univariate regression settings, we try to model $$y = X\beta +noise$$ where $y \in \mathbb{R}^n$ a vector of $n$ observations and $X \in \mathbb{R}^{n \times m}$ the design matrix with $m$ ...
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Multivariate multiple regression in R with mice [closed]

I have imputed a data set with mice and want to run a multivariate multiple linear regression on the imputed data. Below is a description of what I have done. ...
2k views

Using multinomial logistic regression for multiple related outcomes

Is it common practice (and adequate) to regroup two binary dependant variables into a single 4-level dependent variable to take advantage of the multinomial regression? For instance, say we have ...
1k views

Doing a “linear regression” with 2d points under a linear transformation

Let's say I have a list of 2D points $\vec v_i = (x_i,y_i)$ and the list of points after some linear transformation $\vec v_i'= A\vec v + b + \epsilon_i$ where $\epsilon_i$ is some deviation assumed ...
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Hypothesis testing: significance

i conducted a survey that aims to find out if Australians prefer Australian phones over Chinese phones. My hypothesis states: Australians prefer Australian phones over Chinese phones This was ...
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Repeated measures but not longitudinal: A case of multivariate LMM or repeated measures LMM?

I am trying to get my head around the question of what kind of model is most appropriate for the following data: Every participant rated 14 written statements in terms of various aspects (e.g. ...
How do I derive prediction intervals for a general linear model? My general linear model written in matrix form is, $$\mathbf{Y} = \mathbf{X} \mathbf{B} + \mathbf{R}$$ with each of the rows of ...