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Questions tagged [manova]

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

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75 votes
3 answers
63k views

How to interpret type I, type II, and type III ANOVA and MANOVA?

My primary question is how to interpret the output (coefficients, F, P) when conducting a Type I (sequential) ANOVA? My specific research problem is a bit more complex, so I will break my example ...
0 votes
0 answers
165 views

Poor mans anova

Background: I did something that I don't feel bad about, but I don't feel exactly right about. I would like to get enough pointing in the right direction to teach myself and feel solidly good about ...
0 votes
0 answers
38 views

Question about Degrees of Freedom in MANOVA

res <- manova(cbind(Sepal.Length, Sepal.Width) ~ Species, data=iris) summary(res) When running the above code, the result will be as follows: <...
0 votes
0 answers
52 views

Finding variable contribution in manova

I have a dataset with one grouping factor and some dependent continuous variables. Given the difference, I want to know which variables contribute the most to the difference, like this variable A is ...
0 votes
0 answers
136 views

Non-normal data, manova and kruskal_test

I am trying to perform a statistical test on a large data frame. For this, I was thinking to find differences between groups using MANOVA. I have 70 columns and 2 independent variables. In the example ...
0 votes
0 answers
579 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 ...
0 votes
0 answers
24 views

Multiple hypothesis testing adjustment when only the number of significant tests is important

We are measuring the effect of a treatment T on a latent outcome variable (specifically, "Discrimination"). We have a number of outcome variables that we think do a reasonable job as proxies ...
1 vote
1 answer
691 views

MANCOVA homogeneity of regression slopes

I am examining the difference in illness models (by asking several questions: DV) for refugees and non-refugees (IV). In addition, we asked about several confounding variables / covariates (...
0 votes
1 answer
2k views

Three-way MANOVA Interpretation

I'm interpreting a three-way MANOVA as part of my research, and have come across an interpretation challenge, with three independent variables (Factor A, Factor B, and Factor C) and two dependent ...
0 votes
1 answer
217 views

How to perform ANOVA for data measured with unequal time interval?

So I have a set of patient data divided into 3 groups based upon their vision. I also have data on few variables that I believe to be relevent which are measured pre-surgery, 1 day post-surgery, and 7-...
3 votes
1 answer
38 views

What are the advantages and disadvantages of using a one-way between subjects MANOVA versus a split-plot repeated measures ANOVA?

For example, I would like to analyse the difference in heart rate, breathing rate, height, weight, and number of hair between three species (cats, dogs, and rats). This is a nonsensical example of ...
6 votes
2 answers
2k views

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 (...
3 votes
1 answer
2k views

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 ...
5 votes
1 answer
49 views

Is Repeated Measure MANOVA appropriate here?

I have data on the yearly number of doctor visits for patients from 2020 to 2022, along with characteristics associated with these visits. During each visit, patients are asked questions about their ...
0 votes
0 answers
8 views

Determining Which Variables Drive Group Differences After a Permutational Multivariate Analysis of Variance With a Post-Hoc Means Separation Test

I have a data frame with several different columns of variables (there are categorical predictor variables and several different numeric response variables). I've done a permutational multivariate ...
2 votes
1 answer
840 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 ...
2 votes
1 answer
243 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 ...
0 votes
0 answers
17 views

Pseudo-regression as a way of checking MANOVA-assumptions

I stumbled across an online tutorial (a YT-series for supposedly a graduate course in statistics) for implementing a MANOVA-test in R. Before carrying out the test, important assumptions are being ...
0 votes
1 answer
749 views

Repeated Measures MANOVA Planned Comparisons & Profile Analysis

I'm conducting a repeated measures MANOVA with one IV (4 conditions) and 2 DV's. My participants have taken each condition. Assuming the MANOVA and univariate tests are significant, I would like to ...
0 votes
1 answer
823 views

One way MANOVA or Two way MANOVA

I have done statistics many times at Uni at both Undergraduate and Postgraduate levels but as they say “if you don’t use it, you lose it” and that is certainly the case. I am trying to assist my ...
5 votes
1 answer
1k views

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 ...
2 votes
0 answers
22 views

MANOVA - Univariate Wilks' Lambda Test (R interpretation)

I am running a MANOVA model with 2 dependents and 2 continuous predictors. (fyi - STATA calls this MANCOVA and requires dropping a "c." in front of each predictor to denote that each is ...
0 votes
1 answer
579 views

Repeated measures ANOVA or MANOVA (SPSS)

I have an experimental design of two independent groups (pregnant/non-pregnant), in which each person has described past memories and future episodes on different variables on a scale from 1-7. ...
1 vote
1 answer
2k views

How to perform MANOVA with categorical independent variables

I have a dataset where the independent variable is sieve size (categorically either 25, 63, 100 or 150), and the dependent variables are length and width. ...
7 votes
1 answer
11k views

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 ...
1 vote
1 answer
67 views

What analysis do I need for 2 Ivs and 2 DVs?

I think I need a MANOVA, but I may need an ANCOVA and then also do an ANOVA within just the experimental group. I think it's a 2x2 factorial independent measures ANOVA within the intervention group. I ...
2 votes
1 answer
157 views

What analysis is best with a binary independent variable that is very skewed?

I have a binary independent variable (1 = event occurs, 0 = no event occurs) and a continuous moderating variable. My dependent variables are continuous. I want to test if engaging in a particular ...
0 votes
0 answers
146 views

How to assess normality of a single item variable before running ANOVA in an experiment?

In my experiment, I have 3 dependent variables, each measured through a single item. I want to assess their normality before proceeding to MANOVA. These three variables failed the Shapiro-Wilk test. ...
0 votes
1 answer
131 views

What is the appropriate test comparing two groups with pre-post design?

I have two groups (control and experimental), both have pre- and post-test scores. A colleague of mine suggested that I use a one-way MANOVA to test the effectiveness of the intervention, with pre- ...
3 votes
3 answers
195 views

How to perform a joint significance test for multiple coefficients across several regression models?

I have 10 regression models, each regressing a different dependent variable $ y_i $ (for $ i = 1, 2, \ldots, 10 $) on the same independent variable $ x $. Each model produces a coefficient for $ x $, ...
0 votes
0 answers
38 views

Why Do Different MANOVA Test Statistics Produce the Same Approximate F and P Values in R?

I am using the manova() function in R to perform multivariate analysis of variance on my dataset. I have tried using different test statistics such as Pillai's ...
0 votes
0 answers
12 views

Mixed modal MANOVA or something else?

I am once again asking for your help. I am developing a research proposal and I am a bit confused. I have a randomized controlled trial (RCT) for testing the efficacy of a therapeutic intervention, in ...
0 votes
2 answers
3k views

How to interpret the overall statistically significant effect of a MANOVA (In words)?

I have the following analysis: I ran a MANOVA with two DVs (both empathy scales) and an IV (gender). Now the $p$-value (.03) tells me that there is a significant difference between men and women. ...
3 votes
2 answers
1k views

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 ...
0 votes
1 answer
22 views

Is it possible to run MANOVA without adjusting the Alpha level?

I have 11 dependent variables and two independent variables. I need to see the differences between the gender and academic level concerning the 10 most frequent grammatical errors and the total number ...
1 vote
0 answers
48 views

What non-parametric tests can be run to check the mediation analysis, since my data is not normally distributed?

I have two IVs (computed scores from likert scale) and one DV (computed scores from likert scale) IVs are Depression and Anxiety scores and DV is Social Connectedness scores. These are cintnuous. I ...
0 votes
0 answers
18 views

For a MANCOVA or MANOVA, is it true that "the pattern of group differences expected for all of the dependent variables is in the same direction?"

I'm considering performing a MANCOVA for a project, and during my research I came across a statement that gave me pause, quoted in the question title. You can find the statement in the middle of the ...
0 votes
0 answers
39 views

Which Analysis to Use for 2 Likert Scale Questionnaire Groups With Multiple Responses

I have a data set that I acquired through running a questionnaire. The questionnaire consisted of participants having to rate 80 different phrases using a 5-point Likert scale; ranging from Strongly ...
1 vote
2 answers
173 views

MANOVA (SPSS) test - determine control variables in moderation analysis

I am examining the moderating effect of IV1 in the relationship between IV2 and DV using hierarchical regression analysis. The study has 2 demographic variables: gender and age. To determine if it is ...
2 votes
1 answer
66 views

Why does factor appear significant in 2-way ANOVA but not by inspection (mean +/- sd or error plot)?

I am puzzled about the result of a 2-way ANOVA analysis. The factors are categorical and non-random and the sum of squares used is constrained type III (the choice of categorical or SS type does not ...
0 votes
0 answers
29 views

Distribution of between-group sum of squares (SSB)?

Consider a standard multivariate random effects model $$\mathbf{X}_{ij} = \boldsymbol{\mu} + \boldsymbol{\alpha}_i +\boldsymbol{\varepsilon}_{ij}$$ for $i = 1,\ldots,m$ and $j = 1,\ldots,n_i$, and ...
0 votes
1 answer
89 views

In a repeated measures ANOVA, is the pairwise comparison result still valid if sphericity is not assumed?

For the pairwise comparison, the p value is less than 0.001. However, the p value for Mauchly's test of sphericity is also <0.001. I believe that SPSS automatically applies the Greenhouse-Geisser ...
6 votes
1 answer
2k views

T-tests, manova or logistic regression - how to compare two groups?

I'd like to check whether women and men differ on those five variables, that can be correlated with each other. The groups are also not equal with 589 females and 293 males. The solutions that come to ...
0 votes
0 answers
79 views

Multivariate analysis with lmer and lmerTest

I'm dealing with compositional data (data that sum to 1). They are inherently multivariate. One way to analyse compositional data is with a ilr (isometric log-ratio) transformation. I'm following the ...
0 votes
2 answers
490 views

Should I use a repeated measures MANOVA or several repeated measures ANOVAs?

I'm doing a randomised controlled trial, it has four dependant variables each measured at three time points. The data is normally distributed. My question is how to analyse this. I'm wondering whether ...
2 votes
1 answer
6k views

Inter-cluster variance

Can you please help me understand how is inter-cluster (between clusters) variance defined? As opposed to intra-cluster variance which is pretty straightforward, I have not managed to found a clear ...
1 vote
1 answer
85 views

Intuition behind between-group covariance matrix from MANOVA?

Suppose that we have samples from $m$ different $p$-dimensional normal multivariate distributions, where they share a common covariance matrix $\Sigma$ but the mean vectors may be different for each ...
2 votes
1 answer
31 views

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 ...
0 votes
0 answers
48 views

Repeated measures MANOVA returning Pillai greater than 1

I am attempting to investigate the presence of a multivariate main effect using a repeated measures MANOVA. I couldn't figure out how to include a table to share some data so I have included a ...
1 vote
1 answer
3k views

How to compare gender proportions in a population? [closed]

I want to test if more women are graduating from high school than men, the last ten years. I want to use percentages, not raw data. (2007-2017 percentages of women who graduated from high schools ...

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