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 ...
Kristian's user avatar
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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 ...
Charlie Parker's user avatar
3 votes
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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 ...
Vince Bil's user avatar
3 votes
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7k views

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 ...
TheRobotPants's user avatar
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328 views

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 ...
Meghan Shaw's user avatar
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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 ...
Pao Buitrón's user avatar
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764 views

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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Challenging robustness to violations of multivariate normality

I am generating multivariate normal (MVN) data and evaluating power of MANOVA in R. For instance, I simulate a factor A with two levels, and obtain $\boldsymbol{y}_{A_1} \sim MVN(\boldsymbol{\mu_1}, \...
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Suitability of one-way repeated measures MANOVA

I'm undertaking a research study where I want to look at the difference between the value of a variable before and after an intervention. I've been suggested the one-way repeated measures MANOVA ...
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What is Pillai's trace actually telling me?

I've read the site, the MANOVA section in a stats for n00bs book and Googled but I can't find this answer. I believe I'm conducting a one-way MANOVA. I have one IV which consists of two groups. I ...
Claire1357's user avatar
2 votes
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129 views

Why does adding a dependent variable to a MANOVA remove significance?

We designed an experiment with 2 discrete independent variables (IV), 1 (measured) confounding variable, and 2 dependent variables (DV). We hypothesize that the two IVs interact on both DVs. Right ...
FirefoxMetzger's user avatar
2 votes
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219 views

Unequal sample sizes for npmv

I have a similar question as this: Nonparametric test for MANOVA in R violation of homogeneity and unequal group sizes which is unanswered. I have a dataset for which I want to perform a MANOVA. ...
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Why Linear Discriminant analysis in MATLAB and R are producing different results

I am applying manova and lda to my data 12 samples (6 groups with 2 samples in each) and 6 measurements. I used lda form MAS5 package in R and different LDA functions in MATLAB. They all gave me ...
David's user avatar
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Multivariate analysis for repeated measures with dependent treatment groups and independent control groups

I conducted experiments to test the effect of a treatment on multiple response variables. Measurements were taken over consecutive rounds (i.e., time steps) of an experiment, with each round ...
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Run ANOVA before MANOVA?

In a mixed design I have two independent variables (IVs) and one dependent variable (DV). The DV can also be interpreted with its sub-dimensions. Thus, the formerly (one) DV can be spitted up into ...
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Can I use parametric and non-parametric tests in the same publication?

I have a rather difficult dataset. One measurement is non-normal and zero-inflated and could not be transformed to normality. Thus, a glm was used. Another set of ...
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1 answer
228 views

Alternative to a MANOVA

I have a dataset that contains 3 variables: A categorical variable in form of names (categories) Two numerical variables with a metric scale level (stars and review_count) My goal is to find out ...
Banjo's user avatar
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variable-specific output for MANOVA with error term?

I am analysing a multivariate data set of several measurements taken from a number of cells for individuals from two treatments (see example below) ...
Miriam F.'s user avatar
2 votes
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628 views

Should PERMANOVA be used to select factors for Canonical Correspondence Analysis?

I am interested in investigating the relationship between species composition and several environmental factors. My question is whether it is appropriate to use PERMANOVA to select a 'best' ...
Kodiakflds's user avatar
2 votes
0 answers
352 views

Why is MANOVA robust to non normality?

In Applied Multivariate Statistical Analysis, Wichern and Johnson state that "with reasonably large samples, the MANOVA tests of means are rather robust to nonnormality". Why is that?
An old man in the sea.'s user avatar
2 votes
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186 views

what is the theoretical basis of Pillai's trace test statistic?

what is the theoretical basis of Pillai's trace test statistic? I haven't found any in-depth treatment of it online.
randomWalk112358's user avatar
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637 views

Multivariate multiple regression with multiple ordinal dependent

I have a statistical quandary I'm trying to solve, hopefully someone here can help. I have a data set with several dependent variables measured as ordinal Likert items and I want to measure the ...
JosephKa's user avatar
2 votes
0 answers
42 views

Getting the rank of a matrix in Manova setting

Suppose we have that: $\mathbf{X}_{lj} = \mathbf{\mu} + \mathbf{\tau_l}+ \epsilon_{tj}$ for j= $1,...,n_l$ and $l = 1,2,..g$ Here $\epsilon_{lj}$ are independent $N_p(\mathbf{0},\mathbf{\Sigma})$. ...
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group comparisons - normality of the distribution

When comparing 3 different groups on a certain variable and one of the groups does not have a normal distribution (as verified by the Shapiro test) whilst the other to do, would you think it is best ...
J. Ferreira's user avatar
2 votes
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Model ratio in a one-way repeated measures ANOVA in R?

I've got a dataset with two measures in a group of people, before (pre) and after (post) an intervention. Second measure is always greater than first one. My assumption is that the initial value ...
Jose Lozano's user avatar
2 votes
0 answers
2k views

Quasi-experiment: sample size & statistics

I am conducting a quasi-experimental research in a school, where I have access to 100 students who are chosen as classrooms and who will be the participants of the study. I am interested in the ...
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2 votes
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Is it possible to calculate cohen's d from nonparametric statistics?

I am working on my thesis and my supervisor wanted me to calculate cohen's d for my significant results. I am using SPSS and I was able to calculate Cohen's d using an external site. My independent ...
Audrey H's user avatar
2 votes
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325 views

MANOVA shows significant main effects only but ANOVA shows both main and interaction effects

I have five DVs that are correlated, so I ran a 2x2 MANOVA, which showed a significant main effect. But follow-up univariate ANOVA with one of the DVs showed both a main and an interaction effect. ...
user2869951's user avatar
2 votes
0 answers
854 views

How to understand that MANOVA and discriminant analysis are special cases of canonical correlation analysis?

I am reading a statistical book which writes, Canonical correlation represents one way in which we can examine the relationship between multiple dependent variables ($\bf{Y}$) and multiple ...
Tony's user avatar
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2 votes
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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 ...
thx's user avatar
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2 votes
0 answers
270 views

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 ...
Ian's user avatar
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0 answers
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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-...
EngrStudent's user avatar
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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 ...
Leela987's user avatar
2 votes
1 answer
811 views

Regression or MANOVA?

I have one manipulated independent variable (degree of co-creation) based on three surveys "no" "low" and "high" degrees of co-creation. Furthermore, I have 4 dependent ...
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