Analyses where there is more than one response or dependent variable of interest. This can be contrasted with "multiple" or "multivariable" analysis, which typically implies more than one predictor or independent variable.

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17 views

Methods to find the correlation between one variable and a set of variables

I have discrete measures (let's say $I(x,y,t)$, i.e., coordinates in space and time) on a geographical map that are sampled randomly. I also have a constant flow of optical images in several ...
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13 views

Modeling response as a mixture

I've seen a lot of discussion of statistical models in which the input factors are mixtures. But how to model data when the responses, not the factors, are a mixture? In other words, how to model ...
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1answer
33 views

Multivariate Regression Analysis in SPSS [on hold]

I am using SPSS to perform a multivariate regression analysis. I have 4 factors, Group (1,2), AgeGroup (1,2), Sex (0,1), and handedness (0.1) with 4 dependent variables. My question relates to ...
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29 views

How to define percentiles for a joint-probability distribution [not the marginal..]?

Is there a reasonable definition for percentiles for a multivariate distribution? Say you have X and Y, Gaussian-distributed, and you want to define the, say "tenth", percentile of the joint ...
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11 views

Can I report Univariate results without multivariate results in MANOVA?

I have nonsignificant results for my multivariate analysis (2-way MANOVA with 1 RM). Keep in mind there are 10 DVs that are correlated. The univariate results show significant results for 1 of the ...
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15 views

Multivariate binary time series

I have several concurrent time-series, which have binary response: Yi = (yi1, ... , yiT) where yit = 1 or 0 at an observed time t. i = 1, ...,n (where n is the total number of concurrent time ...
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20 views

Multivariate central limit theorem with unknown variance

Let $X_1,\ldots,X_n$ be samples from a distribution on $\mathbb{R}^d$ that has a finite second moment. If $d=1$, $\bar{X}_n=\frac{1}{n}\sum_{i=1}^n X_i$ and $S_n=\frac{1}{n-1}\sum_{i=1}^n ...
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7 views

How to interpret the results of an analysis dbRDA?

I want to analyze the effect of landscape variables (size of the fragments, isolation and time of fragmentation) on the coverage value of a species matrix. For this, I used a distance based redundancy ...
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49 views

Estimating the difference between adjusted and unadjusted meta-analytic effect sizes

I am working on a meta-analysis of standardized mean differences for which researchers report a variety of unadjusted data and data that are adjusted for one or two covariates. In this research ...
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17 views

How to mathematically prove that the continuous data is better for finding out the correlations than the binary data?

If I want to calculate the correlations among the components in a vector space using the MLE with a prior of multivariate Normal distribution, which kind of data should be better? the binary data or ...
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5 views

Comparing variability of groups using indices

I have three genera of frogs (A, B, C), each containing a different number of species (14, 9, 18). The differences between species within a genus can in some cases be larger than the difference ...
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14 views

Comparing multiple effects of treatment

I am measuring gait in PD patients undergoing surgery. I measure them pre-operation and then at 6 months post-operation. I want to answer the question how does their gait improve. I am reporting 13 ...
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15 views

Statistical Test similar to ANOVA for multiple factors with continuous values

I am stumped trying to determine the best method to analyze my data. I have numerical ratings provided by users to describe different objects. Additionally, there are five factors that describe these ...
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36 views

Principal Component of non-centered data and PCA-Transformation

I am reading a chapter about principal component analysis (PCA). It states that for any random varible $X \in \mathbb{R}^p$ with $n$ observations, $E[X] = \mu$ and $Cov[X] = \Sigma$ the i-th PC is ...
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36 views

Paired Hypothesis Test in TWO Linear Regressions

I am wondering how to perform a paired hypothesis test in a panel regression. I have been looking in many stats books but I have not found anything. The question goes: assume for $i=1,2,\cdots, N$ ...
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13 views

Calculating multivariate relative importance in R

I'm in the process of evaluating some behavioral data I've collected and cannot find a package to obtain relative factor importance for the following linear model: ...
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1answer
14 views

Identifying which survey questions strongly predict follow-up test results

For context I work with a new youth outreach program that's trying to reduce incidents of STDs in our city. So far we've been using a naive approach that target everyone equally, but this has been ...
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19 views

generate multivariate cauchy random variable

How can we generate multivariate random variable in matlab? Will the set of t distribution with 1 degree of freedom will give multivairate cauchy noise, How to generate?
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30 views

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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1answer
27 views

Comparison of longitudinal data in a same group of participants but using two entirely different tests

I have a dataset of participants who were longitudinally followed up at two different time points. They went through a series of measurements at both points. Even though the overall domain of the ...
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30 views

Given two correlations in a 3 by 3 correlation matrix, what are allowed values for the third correlation? [duplicate]

For a random number experiment, I want to simulate from a trivariate Normal distribution with correlation matrix. ...
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35 views

R - Multivariate Gaussian Outlier Detection

I have a dataset with N samples (>200) and 5 variables. In my implementation I need to classify some samples after a "calibration". This calibration is done by using an amount of the dataset (i.e. 100 ...
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19 views

Multivariate discretization method / library for huge data

Does anyone know any multivariate discretization method that can be used for large amounts of data. A library / Python library would be awesome but algorithms would also do. Also I'm not sure if ...
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33 views

Unsupervised Anomaly Detection with Mixed Numeric and Categorical Data

I am working on a data analysis project over the summer. The main goal is to use some access logging data in the hospital about user accessing patient information and try to detect abnormal accessing ...
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1answer
29 views

Can I use Principal Component Regression/Analysis to identify Raman peaks in varying concentrations?

I have data of varying concentrations of a particular substance in water. I recorded its Raman signals between 1 ppt to 1 ppb using identical parameters. I would be using Savitzky-Golay filtering to ...
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1answer
40 views

Coefficient of Determination with Multiple Dependent Variables

I have X | Y1 | Y2 data, that I fit with some model. The model produces two values for one independent variable, where one is compared with the Y1 values, and the ...
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39 views

Is there any algorithm that can predict multi-variables(response variables) based on one independent variable

let me ask the question in detail with an example -- I have a historical dataset with columns(a,b,c,d,e,f,g) Now i have to predict (b,c,d,e,f,g) based on the value of 'a' and all the variables are ...
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12 views

multivariate general linear model

If I want to test if losing control over eating during pregnancy (my independent variable) can predict birth weight (dependent variable) and to do that I did general linear regression. Now if I want ...
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13 views

Clustering Standardized Mortality Ratio

I am bit new to the whole clustering idea. I have a data set that gives information about the SMR in the different states of America from 1995-2000. Hence I want to apply clustering techniques ...
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29 views

How to analyze multivariable data (Normality not assumed)?

I have a table which looks like the table below. As you can see, I have two factors in the table. One factor which shows different interaction techniques and another shows different position of ...
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15 views

alernative to estimation of adjusted relative risk using proc genmode

I am trying to estimate adjusted relative risk of a binary outcome for each covariate in a model. I saw online articles for doing this here and here using proc genmod. However, I am wondering if I can ...
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57 views

How do I solve a under-determined quadratic multi-variate system?

I performed some simulations with known values of input variables $X_1$, $X_2$ and $X_3$, to find output response $Y$. The variables are distributed as following: $$ X_1 = N(\mu_1, \sigma_1) $$ $$ ...
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23 views

Is it essential to use a correlation matrix when the scales of variables are different in PCA?

I am doing PCA on two variables which have completely different units and scale. More exactly, I am doing multivariate-EOF analysis as the columns of the data matrix represent 12 grid points of the ...
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49 views

Multivariate Mixed Model With Continuous Independent Variable - SPSS or R?

I've been trying to find an appropriate statistical technique to analyze multiple IVs and DVs with no luck. The IVs include 1 trichotomous within-subjects factor, 1 dichotomous between-subjects ...
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1answer
51 views

Multivariate OLS - Partialling Out

I have bee wondering why in a multivariate OLS-Regression it is not possible for R² to decrease when increasing the number of explanatory variables. The Point is that for example in the model ...
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1answer
65 views

How to analyze data once broken down into gender, race, etc

I have two conditions, Treatment A, and Treatment B. Participants are randomly assigned to a treatment at the outset. Then I run unpaired t-tests on the data to find any differences. BUT I am also ...
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26 views

Sampling Distribution of Sample Correlation Coefficient

For a linear process $X_t=\mu+\sum_j\varphi_jW_{t-j}$ where $W_t$ is white noise and $\mathbb E(W_t^4)<\infty$ , $$ \begin{pmatrix} \hat\rho(1) \\ \hat\rho(2) \\ \vdots \\ ...
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30 views

Average linkage clustering

I have a matrix with proximity values $$ \begin{matrix} &1&2&3&4&5\\ 1& 1 & 0.9 & 0.1 & 0.65 & 0.2\\ 2& & 1 & 0.7 & 0.6 ...
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49 views

Regress residuals in second regression

I am wondering if anyone can point me to a paper/lecture notes on the rationale behind first running an OLS on a set of variables, and then in a second regression using the residuals of that ...
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16 views

fdr correction for omics data

I have a experiment design with 2 factors and I have 850 genes from this experiment. I want to look at individual genes before i go to multivariate dimension reduction . So I plan to fit a two way ...
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15 views

Finding a scale matrix of multivariate Cauchy distribution given a border of credible region

I want to solve the following problem: I have a multivariate Cauchy distribution, centered at $\mu$, with unknown scale matrix $\gamma$. Now I receive a data point (blue $x$ in the picture) and my ...
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1answer
25 views

What type of analysis will help discover common attributes of collections of items?

Suppose the following situation. You have a list of food items: bottles of milk, ham pieces, eggs, bananas etc. You also have bags of food, where a bag might contain, e.g. 3 bottles of milk, 5 pieces ...
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7 views

Doubly Multivariate Repeated-Measures Designs in R

I need to analyze the a doubly multivariate repeated measures design by using R. There is an example in site, by using SAS: ...
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1answer
64 views

Choosing a method to solve a many-to-one mapping problem

Problem description To predict a list of values associated with a set of variables. Trainset Trainset has a set of variables X1, X2, X3, ... Xn. In the simplest form, each variable is of type ...
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1answer
26 views

Predict multiple outcome vectors at once (no multinomial or multiclass)

Let's say I have a dataset where i need to predict 2 or more variables (classification). Please understand that i really don't mean multinomial or multiclass classification. It's all about predicting ...
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16 views

Multivariate prediction using Bayesian Nets

I have a set of continuous variables X, a set of ordinal variables Y and a deterministic function from Y to a continuous value u, u= f(Y). I want to build a Bayesian Net for X and Y, where there will ...
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1answer
45 views

Prove that the distribution of $Q$ is chi-squared with $p_2$ degrees of freedom

Suppose $X$ is a $p$-dimensional vector following $N_p(\mu,\Sigma)$ distribution, where $\mu$ is $p$-dimensional and $\Sigma$ is $p\times p$. Let $X=\left(\begin{array}{ccc}X_1\\X_2\end{array} ...
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69 views

Distribution of “sample” mahalanobis distances

Let $x_1,\dots,x_n$ be i.i.d. observations from $N_p(0,\Sigma)$. Let $\hat S=\frac1n\sum_{i=1}^n x_ix_i^T$ be the sample covariance of the samples. Recall that the Mahalanobis distance is defined: ...
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22 views

Which statistical test to use with a continuous dependent variable and categorical and continuous independent variables?

I have a dependent variable (which is continuous) and it depends on a number of independent variables (both continuous and categorical). In order to find out which independent variables significantly ...
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14 views

How to compare many variables that were observed over time?

How to compare many variables over time? For example, for the same patient the measures for glucose and insulin (or more variables) were observed over time. I would like a suggestion to model or ...