# Questions tagged [manova]

Multivariate ANalysis Of VAriance (MANOVA) is a generalization of ANOVA for the case with several dependent variables.

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### MANOVA with unequal sample sizes

I have data for 352 response ratings that have been categorized as "Low," "Medium," and "High." I would like to compare the differences of five variables across the three categories to see which ones ...
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### Kruskal Wallis or MANOVA

I have to analyse 8 independent variables (IV) toward 8 dependent variables (DV) in my research. The IV is nominal while DV are ordinal (Likert-scale). I run the normality test and the result is zero (...
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### Multivariate differences between groups controlling for one factor (MANOVA)

I have a sample of 100 participants who have scores on 5 different variables (V1-V5). Some participants took part in a workshop, others did not. I am interested in investigating the influence of ...
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### Tutorial for performing Contrasts for MANOVA

Context I have a multivariate dataset with a test group and three control groups. I was thinking that the best way to determine if and how the test group differed from all of the control groups would ...
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### What is the ANOVA equivalent of a matched-pairs t-test? MANOVA?

I have n subjects. I perform an experiment on all the subjects and measure the outcome in two different ways. I want to evaluate the difference between these two types of measurements. I would use a ...
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### How to best approach ANOVA with multiple response variables that might be correlated and Bonferroni Correction

I need some help verifying a simple analysis. I have completed a simple two factor experiment of more or less equal sample sizes. Let's assume for the case of this question that the sample sizes are ...
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### How to deal with non-normality in MANOVA?

The dependent variables (DV) have to be normally distributed. I have a problem because some of them aren't. I have one independent variable (IV), namely type of education. The DV's are Externalizing ...
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### How does one create comparable metrics when the original metrics are not comparable?

The problem I have is that I have several groups (say 3 to make discussion concrete) with observations from a true but known distribution $p^*_1, p^*_2, p^*_3$ (or 3 populations). I can compute some ...
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### Which test should I use to compare the effect of a parasite infection on gut microbiome across time serie data point

I am interested in the effect of an intestinal parasite infection on the rat gut bacterial community. I have two groups of rats ("infected" and "non-infected") each consists of 6 ...
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### MANOVA with SciPy

Is it possible to conduct a multivariate ANOVA with Python and SciPy? I would prefer to stick to the SciPy stack (NumPy, Statsmodels, Scikit-Learn, Matplotlib, etc.)
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### Main effect found in 2x2 factorial MANOVA, is it justified to follow up with discriminant analysis on only one IV?

I ran a MANOVA on 3 DVs against 2 IVs (2 levels each factor, so 2x2) and found no interaction effect, but I found a main effect for one of the IVs. Would it make sense to follow up with a discriminant ...
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### Correct way to perform a one-way within subjects MANOVA in R

Note: This question is heavy on R programming, but it was recommended that I post it here after I posted an almost identical question in StackOverflow Main Question I'm looking for help correctly ...
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### Repeated measures MANOVA

I have to analyze a data set of the following format Here the subjects receiving the two treatments are different For this I thought of using a repeated measures MANOVA. Is this a correct ...
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### Sample size estimation for MANOVA

I am trying to run a replication of a study which used a factorial design (2x2) with three DVs (dependent variables) and subsequently ran three ANOVAs to test their hypotheses. Given that the DVs in ...
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### Comparing differences between overlapping groups

I am trying to analyse the differences between people who vote in the European Parliament (EP) elections and people who vote in national elections, based on the EES dataset$^\dagger$. The objective is ...
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### How to use extracted data from factor analysis in subsequent 2x2 factorial design?

I’m conducting a 2x2 between subjects factorial design for my dissertation. IV’s: advertising appeal (two levels: rational appeal vs. emotional appeal) media type (two levels: TV vs. Internet). ...
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### Does the importance of the normality assumption in MANOVA decrease as sample size increases?

Does the importance of the normality assumption in MANOVA decrease as group sample size increases?
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### Non-normality in MANOVA with significant planned contrasts versus non-significance in Kruskal-Wallis- A Conundrum

I am conducting a between groups analysis for 3 groups (N=26, one control group and two experimental groups) with 4 dependent variables. I initially planned to conduct a MANOVA, however I am not ...
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### Which statistical test to use analyzing multivariate brain scan data (Channels, Frequency Bands, Measures)?

As a Computer Science student inexperienced in statistics, I'm looking for some advice on selecting the appropriate statistical test for my dataset. My data, derived from brain scans, is structured ...
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### Moments of the Hotelling Lawley Trace under the alternative

The Hotelling Lawley trace is used in multivariate ANOVA, or for tests of the Multivariate General Linear Hypothesis (regression coefficient testing in many-to-many linear regression). For our ...
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### Non-parametric testing for three way interaction effects

I'm looking for the appropriate test to perform to determine if there is a three-way interaction effect on my (non-parametric) likert-scale data. My data currently has a dependent variable with values ...
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### What is the alternative to the 2-way ANOVA when the data are non-parametric in addition to being non-ordinal

I understand that the scheirer-ray-hare test would be a good option, however, the literature mentions that it is not reliable in my case because it uses data on an ordinal scale. What alternative ...
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### MANOVA test statistics with GLM Multivariate Multiple Regression in R

Good afternoon! I am currently working on my master thesis and I am a bit stumped on how to proceed practically with my analysis. I am running a Multivariate Multiple analysis on a dataset, so I have ...
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### How to statistically test if two continuous variables can combined to be proxies of one categorical variable? MANOVA?

In the dataset I have, there's one categorical variable (A) containing multiple levels. Due to multiple reasons, I want to use continuous variables only for modeling. I feel two other continuous ...
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### Likelihood function for MANOVA

I'm trying to get a handle on MANOVA and Repeated Measures ANOVA. My confusion is around what the likelihood function looks like. Here's how I would formulate the likelihood function Notation: The ...
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### Follow-on to "Training with the full dataset after cross-validation" - sequential parameter estimation

Background: Here is the background for the question, both the question itself and the answer given by Dikran Marsupial. Training with the full dataset after cross-validation? It asks about after k-...
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### MANOVA vs repeated measues ANOVA example

I have the following situation (4 independent treatment groups, each group is tested for 3 dependent variables) and was wondering what would be the best to do: What is the best test to do? I have ...
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