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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14 views

variance of the unbiased sample covariance matrix

Im interested of calculating the variance of the unbiased sample covariance matrix. The $x_1, ..., x_n$ are independent with $\bf{E[x_i]=\mu}$ and $\bf{V[x_i]=\Sigma}$. $\bf{S}$ ...
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30 views

Quantile of a conditional cumulative bivariate normal distribution and R Implementation

I would like to compute a quantile Z of a conditional cumulative bivariate normal distribution. I have two questions: 1) Do I formulate the problem correctly? 2) How would I compute this quantile Z ...
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16 views

Need help determining which statistical test to use

I am an MD attempting to do my own statistics for a project I have been working on. I have 3 groups (which are comprised of combinations of 2 categorical variables), lets call the groups A+B-, A+B+, ...
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1answer
47 views

How to start with regression analysis? 10 variables; 1M samples

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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17 views

Deriving expectation involving Wishart distributions $E[\bf{A(A'WA)^-A'W}]=\bf{A(A'\Sigma A)^-A'\Sigma}$

I have a problem deriving two expectation involving Wishart distributions with mean zero. Let $\bf{W} \sim {W_p}({\bf{\Sigma }},$$n\bf{)}$ and $\bf{A}$$: p\times q$. Prove that ...
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2answers
78 views

What is the difference between multimodal and multivariate?

Can somebody explains me the difference between "multimodal" and "multivariate"? For example, I have a dataset which contains different information. All information objects are connected together ...
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12 views

measure of multivariate skewness

I am looking for a generalization of Pearson's or the Yule-Kendall's skewness measures, from univariate to multivariate data. If not a proper generalization, any other measure sensitive to the ...
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39 views

Timeseries data analysis in R

I have a question about site, season and year differences in water quality, fish diversity and composition. To answer these I have collected fish abundance data as well as water chemistry data from ...
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25 views

How to do MANOVA in Python?

I can quickly do a MANOVA test in R using this code: ...
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0answers
20 views

Epidemiology - Pooling relative risks or hazard ratios for different outcomes from the same trial

I have one cohort trial with separate relative risks (RRs) for disease A and disease B. I would like to merge these RRs to get a single RR for diseases A+B combined. How can I do this? I have the ...
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11 views

Conditional / Marginal Distributions with Absolute Values

I would like to model a process that I believe follows a multi-variate Gaussian distribution[*]. However, I can only determine the covariance between the $|x_i|$s, rather than $x_i$s, because the ...
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1answer
27 views

Multivariate Hypothesis Testing - How do you choose best combination of factors without explicitly testing every combination (2^n)?

Let's say I have 10 variables that I want to vary (each can be 0/1) on a page in order to determine what leads to the best conversion. How can I choose the best combination of factors without having ...
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2answers
59 views

Multivariate Logistic Regression in R or SAS

I was wondering whether there is a specific procedure in either R or SAS which can handle binary correlated data (multivariate logistic regression). More specifically I have a sample of 400 ...
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0answers
16 views

Why is sklar's theorem written for bivariate case only?

I read An Introduction to Copulas by Nelsen. Just wonder, Why is sklar's theorem written for bivariate case only?
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0answers
9 views

Partial db-RDA factor disappearing

I analysed my data with capscale() an used a Condition() argument in the formula, to address pseudo-replication. And it happens most of the time, that i get the following output, when performing ...
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0answers
29 views

Fitting a VARMAX model using MTS library in R

I am trying to fit a VARMAX (vector autoregressive moving-average with exogenous variables) model to some synthetically generated data using the MTS library available in R. I found that there is only ...
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0answers
31 views

Help regarding multiple regression with repeated independent variable measurements

I've spent a fair amount of time looking at previous posts related to my question. However, I've been unable to find a discussion that fully captures the difficulties I'm having - either because it ...
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0answers
24 views

Large Time series analysis

i have a simulation experiment with 2187 different treatments (composed of 7 factors with three levels each) and 100 repetitions per treatment. Each repetition is monitored during 9,000 simulation ...
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1answer
22 views

Vectors for biodiversity indices in RDA plot

I'm doing partial distance based (db-)RDA analysis of nematode community data. I have got the triplots already. They contain vectors of environmental data. Is it possible to overlay a second set of ...
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22 views

Mixed-effect or multi-level model (or other) for multivariate repeated-measures data? [R]

I have a dataset consisting of: 2 groups of plants (Group 1, Group 2) living in 10 different neighboring fields (...
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1answer
79 views

Multilevel multivariate meta-regression

Background: I'd like to conduct a meta-regression using studies which have (1) several outcomes/constructs (= multivariate) and (2) multiple effect sizes for every of these outcomes because of ...
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3answers
108 views

What is a multivariate logistic regression

There are a lot paper in medical researches using multivariate logistic regression. I am wondering if the multivariate logistic regression is just the mixed effects logistic regression or something ...
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1answer
13 views

Should I measure and analyze two highly correlative dependent variables?

In a study, I have measured two dependent variables. They are closely correlated, both theoretically and mathematically (r = 0.9). As an example, think of body height and foot size as dependent ...
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0answers
7 views

Evaluating the internal consistancy of multivariate judges

Consider the wine judging example: A competition is being run, where There are a number different types of wine, eg Chardonnay, Merlot, Shiraz etc. About 50 types of wine. for any particular class ...
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12 views

4 continuous DVs, 12 continuous & discrete IVs: Issues of multicollineararity & multivariate question

I am conducting an analysis to see if various attributes about a set of stimuli affect the rates of different kinds of errors subjects make. I have 4 continuous DVs (error rates) I'd like to predict ...
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20 views

Multivariate repeated measures without between subject factors (Manova vs Anova)

I'm trying to run an analysis in SPSS on some EEG data, obtained with the following design: 1 within subject factor, 6 dependent outcome variables. First, I was thinking about a repeated measures ...
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14 views

Multivariate technique to determine whether an effect is intermediate to two or more other effects?

Let’s say I am looking at soil microbial community structure. I have a multivariate dataset with 20 dependent variables indicating various soil microbial biomarkers in the soil. My treatments include ...
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34 views

Q: generating data with chi-square distribution in R

Could you give me some tips to generate data? I want to create variables X,Y and Z and the three variables follow x~$\chi^2(4)$, y~$\chi^2(2)$ and z~$\chi^2(5)$ respectively. Also, correlation of x,y ...
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7 views

Which variables characterizes the separation of speakers into two known groups

I have 40 patients for which 12 summary measures have been computed. Some of the measures are somewhat correlated in the data, but measure quantitatively different things, so I would like to keep ...
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1answer
12 views

Computing negative half power of a bandwidth matrix for multivariate KDE

I am currently working on a project on density-based clustering algorithms and I am trying to make sense of the formula for a multivariate kernel density estimator [see wiki]. $$ ...
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24 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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0answers
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
35 views

Multivariate Regression Analysis in SPSS [closed]

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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0answers
38 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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14 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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18 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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22 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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0answers
11 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 ...
2
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0answers
52 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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0answers
18 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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0answers
18 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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0answers
40 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 ...
2
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0answers
41 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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0answers
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: ...
2
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1answer
19 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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0answers
20 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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38 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
30 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 ...