# Tagged Questions

Regression with more than one response (dependent) variable.

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### Correlation between residuals of two different relations

I have two relations, A=f(B) and C=f(B). They both are different physical quantities depending on the same variable (let's say pressure=A density=B, temperature=C). I fit both relations to my data. ...
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### How to decide a model for my logistic regression?

suppose i have a data set containing 9 variables/features (x1 x2 x3 ....x9) and thus resulting into formation of matrix X of dimension (m*9), i have a discrete output matrix(Y) containing binary ...
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### Heteroskedasticity and Distribution of the Dependent Variable in Linear Models

I am running a multivariate ols model where my dependent variable is Food Consumption Score, an index created by the weighted sum of the consumption occurrences of some given food categories. ...
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### 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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### Academic Reference Request on Multivariate Mixed Model

The problem at hand was to predict two values, $Y^1$ and $Y^2$, from another one, $X$. We decided that a mixed model would be apropriate considering the clustered nature of data. After visual ...
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### How can I transfer a multivariate model between spectrometers without the use of standard samples?

Our lab has created several multivariate models to predict sample properties from infrared spectra. However, different spectrometers often give different responses, and often the model created on one ...
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### Difference between VAR model and simple vectorial regression

So I am aware of VAR models. Specifically for the VAR(1) case: $X = A_1~LX +\epsilon_t$ where $L$ is the lag operator. A simple regression between vectors would be: $Z = A_2~Y+\epsilon$ where $Z$ ...
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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. ...
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### Regression Analysis - Individual vs. Aggregated Team data

I have a set individuals (let's say ID_No 1 through 50) and a set of metrics that pertain to these individuals: things like age, SAT reading score, SAT math score, a motivation index metric, etc. ...
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### Fitting a cross-classified variance components model with three response variables in nlme

I am attempting to fit a multivariate variance components model with repeated measures on three response variables. I am using the lme function in the nlme package in R and have run into some ...
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### Multinomial logit / time-series fixed effects / multivariate regression: Which one to use in this case?

Friends, As part of a larger study, we have collected a wealth of data on the interactions customers engage in when buying and using a service. Particularly, we have distinguished this process into ...
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### R's algorithm for finding glm estimates

Is there a way of seeing the algorithm behind the glm function in R? I'm not really interested in the source code, but the step by step algorithm for finding estimates for binomial family and how it ...
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### Multivariate Regression vs T-test: and implication for multiple comparisons

I have a data frame with different outcome measures (DV1:4) for participants some partcipant with additional IVs 1:2. ...
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### Which is more appropriate? Poisson or regular linear regression?

I am working on a project to predict a range for patient length of stay. My data consists of 215,000 rows of the following variables (30 total): LOS (length of ...
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### Multiple Linear Regression where some variables are proportions & some are absolute?

Is it appropriate to do a multivariate linear regression where some of the explanatory variables are represented as percentages (continuous from 0 to 1) and the rest are represented in absolute terms (...
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### Naive question about Bayesian multivariate logistic regression

I am stuck on what's probably a trivial question. I am reading a paper about multivariate logistic regression, and they say: ...
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### Do I need to use multivariate regression or several regression analyses?

I have a data set of 45 participants with 96 variables each (although some measurements are missing). Some variables are simple such as age and disability while other measurements are scores on some ...
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### Estimation of multivariate time-varying cross-sectional data

I want to estimate the following model for each variable $y_{ti}$:  y_{ti} =\alpha_t + \beta_t w_{ti} + \gamma_t u_{ti} + \delta_i x_{ti} + \phi_i z_{ti} + \varepsilon_{ti}, \quad \quad \text{for } ...
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### Multiple similar dependent variables, each with the same set of idependent variables. How to find a generic model?

I have a number of similar dependent variables $y_i$, $i\in[1;10]$. Each $y$ has a number of corresponding independent variables $x_{ij}$, $j\in[1;20]$. Now I would like to find some generic multiple ...
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### Residuals from a mixed effect model

I'm running a beta-binomial mixed effects model that estimates the effect size (B) and partitions variance into a random effect (g) and error (e). I would like to calculate the residuals (e), but only ...
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### What kind of methods do I need to use in order to analyze this kind of health dataset

I've recently been given a dataset with the following variables: -BMI -Type of Therapy (indicated by 1, 2, or 3) -ADH Levels -HIV positive or negative (0,1 dummy variables) -Systolic blood pressure -...
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### Which statistical test to use for multiple IV's and DV's

I am conducting a study over post-concussive symptoms. I have two groups, a non-concussed group and a group who has been concussed. I will have three IV's (depression, anxiety, and neuroticism) and ...
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What is the normal equation for multivariate linear regression? In the case of monovariate linear regression, using ordinary least squares, to obtain $\theta^* = \text{argmin}_{\theta} \sum_{i=1}^m (\... 0answers 54 views ### MANOVA and Multivariate Regression: Related as ANOVA and Regression? If I wish to find the relationship between a continuous independent variable (IV) and a single continuous dependent variable (DV), I can conduct a regression (or a correlation, as there is only one IV)... 0answers 26 views ### Multivariate test for conditional (in)dependence Suppose I have vector random variables$X,Y,Z$of dimensions$n_x\times 1, n_y\times 1, n_z\times 1$respectively. My goal is to test whether$X$is conditionally independent of$Y$given$Z$, given ... 0answers 23 views ### How to select variables to include in a multivariate probit regression in R I am trying to do a multivariate probit regression in R. I have 20 dependent variables and 150 indept variables variables. I am trying to test which variables to include in the regression. I know ... 0answers 22 views ### How would I go about using regression to estimate a change in direction or movement in n-space? I have a dependent variable which is a position in n-space (so a vector of length n). I want to use regression (or some other method if you have a suggestion) to determine whether independent ... 0answers 46 views ### multivariate logistic regression I have a quick question. I wondering to know, whether there is a step by step guide to learn multivariate logistic regression. i have a health science paper which described the procedure, but it is a ... 0answers 158 views ### Log-likelihood proof and AIC hypothesis First of all, statistics is just not my thing ... yet (I hope!) I'm having a hard time finding out the log-likelihood equation: Given$Y \rightarrow \mathcal{N}(\mu_1,\sigma_1)$(observation) and$\...
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My statistics knowledge is limited, and it appears that I have a task which would benefit from regression analysis. Please direct me. I've around 10 variables (A, B, C, ...) which might be related to ...
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### Modelling against “day” or “day^2” in to look at change over time?

I'm a masters student trying to model changes in behaviour, heart rate variation and faecal cortisol as welfare measures in sheep over the course of 22 days. Days -4 to -1 is used as baseline, day 0 ...
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### How to compare explained variances of nested multivariate multiple regression models?

I have two groups of continuous* variables - let's call them MF (5 variables) and OR (2 variables), plus some demographics. It has been previously found that the MF are associated with one of the OR ...
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### Solution for Autocorrelation in Linear Regression Model - Economic Data

I am trying to estimate a multivariate linear regression model in the form of: $Y(t) = c + b_1*X_1(t) + b_2*X_2(t) + b_3*X_3(t) + b_4*X_4(t)$ All my variables (both Xs and Y) are Year on Year ...
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### Errors-in-variables multivariate polynomial regression (R)

(EDIT: the question has been modified just a little bit to be more specific) I want to fit a multivariate polynomial regression that accounts for measurement errors (an Error-in-Variables model). ...
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### multivariate student-t regression

(1) I want to do a multivariate regression in R (where each output sample is a vector, instead of a number), which I know can be handled using the lm() function; however, the multivariate output data ...
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### Examples of Non-Linear Time Series?

Does anyone have an example of real world (ideally multivariate) time-series data that depends on its past in a non-linear, but additive way? I understand that there are several examples of non-...
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### Various methods for predicting multiple dependent variables (python)

I would like to model and predict multiple dependent variables depending on one or more independent variables. The most straightforward method appears to be multivariate regression. I was wondering ...
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### Can regression be used with 3 observations and more than 3 independent variables?

I want to regress v1 on o1:o7. I would like to do the same for each of v2:v5 with ...
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### Hidden markov model multivariate regression with time-series data

I am working with a dataset that includes the trajectories of various car trips and would like to be able to predict their destinations using only a subset of the trip trajectory. For instance, if in ...
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### Multivariate Linear Regression with continuous and discrete explanatory variable

I have some trouble to apply a multivariate linear regression on my data. I have two features gross_area which is continuous, nb_bathrooms which is discrete (1,2,3) and a dependent variable y which is ...
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### What does 'Controlling for' mean in regression? [duplicate]

I am working towards completing my undergrad honours thesis and I am in the process of analyzing and writing up my discussion section that is dealing with some form of multiple regression (can't ...