MANOVA is the acronym for Multivariate Analysis of Variance. This is a generalization of ANOVA for the case where there are multiple dependent variables.

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How to understand “MANOVA” and multiple discriminant analysis are special cases of canonical correlation?

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 ...
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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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MANOVA application

Need to check whether it is mandatory to have at least one continuous DVs in MANOVA, also does sample size of 2 groups matters much, i am planning to check whether recruits from campus or off-campus ...
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Does summary.aov() of MANOVA object adjust for multiple comparisons?

I performed a MANOVA analysis in R, testing if two populations differ based on their multivariate phenotype, comprising 16 measurements. I then used the summary.aov() function on the MANOVA model to ...
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How do I calculate Omega-squared for the Multivariate effect in MANOVA?

I did a one-way MANOVA using SPSS and reported the partial eta-squared for the overall multivariate effect as well as for the follow-up ANOVAs (provided on the SPSS output). The editor wants me to use ...
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30 views

Comparing Means: Multiple Dependent Variables

I am using school-level data to compare mean scores for two groups (Group A schools and Group B schools), as measured by a series of indicators: 1) grade-level exam percentile, 2) percent of male ...
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How should I calculate required n for minimum power of a sequence of parallel or simultaneous tests?

I am concerned with the practical situation in which I design a 'no-budget' split-ballot 2 x 1 experiment. We have money for $n=80$ cases in total, thus $n=40$ in each of two groups. In total I will ...
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33 views

How do you run correlations on mean values?

I have five random variables measured on units in four sites, and I'm interested in comparing between sites to determine if there are significant differences. I'm extremely interested in the ...
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52 views

Main effects significant but no significant interaction

My hypothesis for my dissertation was to find an interaction between two predictors; however, my results showed that the interaction was not significant but the main effects were significant.  In my ...
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Normality assumption in MANOVA

Data set has 2 dependent variables and 1 independent variable with 3 groups. Normality assumption of MANOVA says that variables has to be normally distributed within the groups. My data set has 30 ...
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Best Methodology

I am currently designing a research project on mental health attitudes. I want to test a model that should explain the data. I have 5 variables that should lead in an almost linear causal pattern of ...
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Difficulty choosing the right type of analysis

I have to write a proposed methodology for a study investigating the cognitive effects of beetroot. I will be using 2 separate groups of participants. I will first take their resting blood pressure ...
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37 views

how should i interpret boxplot and manova results simultaneously?

I have a data in which i am interested in how the response of photosynthesis and conductance varies differentially among different temperatures/ranks/crosses/genotypes. I have set up a manova to do ...
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Working on my dissertation, and need to figure out whether to use MANOVA, MANCOVA, Multiple regression, or multivariate regression

I am working on my dissertation, and I am having a hard time choosing a statistical model to follow. I am using an existing dataset. The results of the dataset are self-reported. There are more than ...
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23 views

Optimal model/statistical test for my design?

I have a design with 1 between-subject factor and 2 within-subject factors as independent variables and 5 dependent variables (longitudinal accelartion, lateral acc., response time, first conscious ...
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18 views

How to run ANOVA on multiple groups of samples, each composed by different variables

I have a $m$ x $n$ matrix, where the $n$ columns are split into multiple classes. If I had only a $1$ x $n$ vector, I would have used ANOVA to evaluate if all subset of columns had the same ...
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38 views

What is the best approach for this set-up: RM ANOVA / MANOVA / Mixed-Models?

I have a simple dataset from a within-subject design. Each participant provided a verbal description of 3 stimuli. The descriptions were coded so that they consist from objects each belonging to 1 out ...
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44 views

Using PCA and MANOVA to assess similarity of twins

the general answer to my question has been provided before ( Test if paired data are more similar than non-paired data ), but I'm very much out of my depth and would like to know if my implementation ...
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88 views

MANOVA multiple comparisons with equivalence testing

For a MANOVA with $n$ variables, I would like to do pairwise comparisons between $k$ levels for one of the variables. What is the suitable method to adopt for ...
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How to statistically validate a Framework?

I am creating a Framework, that has independent variables A and B. It has dependent variables C, D, E. F, G, as shown in the diagram. Framework I understand that only after validating a Framework we ...
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44 views

Analysis for a repeated measures design with covariate that varies over conditions?

I'm trying to find the correct analysis that will allow me to carry out the equivalent of a repeated measures MANCOVA with a covariate that varies over three conditions. Basically I have an experiment ...
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38 views

Two-way MANOVA - Total Effect of Independent Variables on Response Variables Together

I have run a two-way MANOVA in SPSS. In the model, there are two fixed (independent) variables A and B, and two response (dependent) variables X and Y. I am trying to ascertain the total effect of A ...
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Discrimination between measurements made at different points in time

I would like to ascertain what variables discriminate best between experimental conditions in a repeated-measures experimental design. I have performed Repeated Measures MANOVA to determine whether ...
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Clustering MVT response data by audience

We are doing multivariate testing 4 possible values for each of 3 variables on a landing page: (a) offer presented, (b) product claim message displayed and (c) image used. So, 12 dummy variables, 64 ...
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Analyzing Social Behavior in Bats

I had a question about what might be the best way to approach one of my datasets. I had been using one method, but a recent talk with one of my professors made me think that perhaps it wasn't the best ...
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46 views

SPSS ANOVA or MANOVA or huh?

Me again asking the silly questions - this might belong here as I've been told it may belong in a software section somewhere..? Which I have still been unable to find. Here is a screenshot of my ...
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Confusion over MANOVA and Regression for my research study

I have a research study that I am planning but I am a little confused as to what kind of analysis I should be doing. On that one hand, I thought MANOVA. On the other, some other people think it is a ...
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Repeated measures for more than one variables

I wish to check if the covariate IVs $X_1$, $X_2$, $X_3$, have a significant effect in the way that the DVs $Y_1$, $Y_2$, $Y_3$ differentiates over time between two time points (2012, 2013). I have ...
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Determining the effect size using GPower

I have three ponds and would like to know how many random samples of algae I need to collect within each pond measuring 7 response variables. I would like to see how each pond responds to the 7 ...
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Mixed within-between ANOVA or MANOVA? [duplicate]

I am doing a research, the instrument of which is an English proficiency test that consists of two parts: one part is related to the test-takers' field of study and one part is unrelated. my ...
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25 views

MANOVA on autocorrelated variables

I am trying to find out if signals 1 and 2, can explain signals 3 to 10. All signals are continuous and time-varying and are rather strongly autocorrelated. Signals 3 to 10 (my dependent variables) ...
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446 views

What is the null hypothesis of a MANOVA?

Background In order to analyze differences in some continuous variable between different groups (given by a categorical variable), one can perform a one-way ANOVA. If there are several explanatory ...
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61 views

PERMANOVA Design

My aim is to quantify temporal change in community composition by measuring community composition through time at several plots using randomly placed quadrats. The idea would be to repeat surveys at ...
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how to test the significance of a multivariate, multiple regression model as a whole

I have a dataset with seven dependent variables and three independent variables. Now I want to test the significance of a multivariate regression model as a whole. My model looks like this (using ...
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Statistical technique for data when three interventions are administrated and multiple responses measuring different constructs are measured

I have a data where three interventions were administrated on subjects and different response variables (say 15 variables) on Likert Scale were observed. These response variables measure three ...
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430 views

How to follow up a factorial MANOVA with discriminant analysis?

This is a follow-up to to my previous question: How can MANOVA report a significant difference when none of the univariate ANOVAs reaches significance? I have two IVs with each having three levels ...
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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 (http://eeshomepage.net/). ...
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243 views

How can MANOVA report a significant difference when none of the univariate ANOVAs reaches significance?

I would just like to ask if it is normal for the values from my multivariate tests to be significant but for the values from my univariate tests of between-subjects effects table to be insignificant. ...
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102 views

Split-split plot design (with replicates) with repeated measures

I'm looking for references that can guide me with regard to the analysis of a split-split plot design (with replicates) that also has repeated measures over time. Ultimately, I need to be able to: ...
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709 views

How to do MANCOVA in R?

I have two groups of persons, GRP0 and GRP1, on which I measured three continuous variables: VAR1, VAR2 and VAR3. I would like to use Mancova in R with: - VAR1, VAR2 and VAR3 as outcome variables - ...
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Compare model performance to distinguish two groups

I would like to compare a sample from the normal population NP to a sample from an "abnormal" population AP. I have several variables measured on both NP and AP, say age, gender, and VAR1, VAR2 and ...
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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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50 views

MANOVA on long data format

I need to run repeated measures MANOVA on long data format (the format was created to derive a categorical variable that is needed to be used as IV). Running RM MANOVA on long data format using a ...
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229 views

Simplifying explanatory model using Vegan adonis in R

I am a newbie to multivariate statistics, so please forgive me if this question is naïve, or if I have missed something important. I'd like to know whether it would be valid to approach using adonis ...
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Estimating and comparing pre-post treatment effects in multiple pairs of treatment-vs-control groups

I have a dataset from an experiment where the goal was to study in which plant ecotype a treatment with a certain bacteria had the greatest effect. Hence the data consists of a number of control and ...
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77 views

MANOVA when sample size is smaller than the number of DVs

I need to compare $16$ quantitative variables, measured for two groups, A and B. I thought of applying MANOVA. However, there are only $4$ and $9$ cases for groups A and B respectively. I looked for ...
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Multiple binary dependent variables

I want to model multiple binary outcomes with some predictors. Does MANOVA can handle this or is there any other techniques I can use? Thanks !!!
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How can MANOVA report a non-significant p-value while LDA results in perfect separation of two groups?

I am new to statistics and currently got a dataset which contains $80$ dependent variables and $1$ independent variable with $2$ groups. MANOVA reports a $p$-value of $> 0.6$ on this dataset. But ...
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257 views

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 ...