16 questions linked to/from Multivariate multiple regression in R
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### Why do we need multivariate regression (as opposed to a bunch of univariate regressions)?

I just browsed through this wonderful book: Applied multivariate statistical analysis by Johnson and Wichern. The irony is, I am still not able to understand the motivation for using multivariate (...
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### What is the proper way to do vector based linear regression in R

I want to do linear regression between vector inputs and vector output. That is each $y$ is a vector with $M$ components, and each $x$ is a vector with $N$ components and the answer should look like \$...
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### Multivariate linear regression in R

I an trying to perform a multivariate linear regression in R. I have two dependent variables (outcomes) and one independent variable (predictor). The model would be something like: ...
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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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### Which statistical test to use with multiple response variables and continuous predictors?

I need help to define which test to use. I want to know which biochemical parameters are influencing the reproductive gonad stage in a scallop. Gonads have a great variability therefore each gonad ...
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### Coefficient of Determination with Multiple Dependent Variables

I have X | Y1 | Y2 data, that I fit with some model. The model produces two values for one independent variable, where one is compared with the Y1 values, and the ...
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### Probing effects in a multivariate multiple regression

I'm trying to run a multivariate multiple regression in R, i.e. including multiple predictors and multiple outcome variables in the same linear regression model. Does anybody know how to pull out the ...
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### Why do the results of a MANOVA change when the order of the predictor variables is changed?

So, for example, using the Iris data and treating iris species as the predictor variable and sepal length, sepal width, petal length, and petal width as the dependent variables we get MANOVA output ...
1 vote
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### MANOVA and Multivariate Regression: Related as ANOVA and Regression?

If I wish to find the relationship between a continuous independent variable (IV) and a single continuous dependent variable (DV), I can conduct a regression (or a correlation, as there is only one IV)...
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### Ax = b. How can I estimate A, given multiple data vectors of x and b?

I have a problem and I believe there must be a machine learning technique to solve it, but I am new to machine learning and I have no idea where to start. So, I have multiple multivariate parameter ...
1 vote
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### 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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### SEM setup question: Dummy coding with interaction term

I have an SEM that fits well according to several metrics and returns meaningful results. However, I'm not sure if the structure is valid. I have 3 between subjects conditions (2 treatments and one ...
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### Multivariate Regression in R with Rates

I'm interested in analyzing a data set in which I have 6 dependent variables = foreclosure rates across 500+ zip codes for 6 consecutive years, and multiple predictor variables. I have already run ...
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### Why are my regression results different depending on reference level of dichotomous variables?

I'm running some regression models, but I'm finding that my pattern of results change depending on the reference groups. My predictors are Condition(A vs. B), Status (low vs. high), and Age (...