# Questions tagged [regression]

Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

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### interpret interaction effect in linear mixed model with dummy-coded categorical predictors with lmer

I've looked through quite a few websites and threads here, but I find the interpretation of interaction effects in linear mixed models with categorical factors quite tricky and would be glad if ...
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### Sampling variance of regression coefficient of change versus baseline

Suppose that $y_1$ and $y_2$ are samples (size $n$) from a bivariate normal distribution with correlation $\rho$ (unknown). I perform a linear regression (OLS) of $y_2 - r y_1$ versus $y_1$, where $r$...
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### Stratified Intercept in Individual Patient Data Metanalysis in R

I am trying to run an Individual Patient Metanalysis (IPD) in R. However, using a Random Intercept Model seems not to be appropriate since I only use 4 Trials. In this article a stratified study ...
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### Can Simple Multiple Regression be applied when you have a Training Set where the number of features is greater than the number of examples? [duplicate]

Suppose we have a Training Set $X$ of size $n\times d$, where $n$ represents the number of examples and $d$ represents the number of features. Assume that $d>n$, so the number of features is ...
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### Multiple regression variable centering when model building, to model input variables or both?

I am working with GLS linear models. I have a transformed dependent variable (log) and 2-3 independent variables. Now I am aware of the basic ideas surround scaling and/or centering variables. I am ...
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### How does Basmann’s 2SLS differ from Theil's 2SLS?

I am reading Diagnostics for 2SLS Regression. In the paragraph "Review of 2SLS Estimation", the 2SLS regression is reviewed. It says that the 2SLS regression was developed by Theil and ...
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### Which statistical methods require that the residuals be normally distributed but not the raw data for n=20? [closed]

Can someone please help find an answer to this stats question please: ...
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### Logistic regression to shortlist marketing agencies

I have received a very ill formulated question that I have a hard time wrapping my head around - so I hope you can help! INTRO: Top-beer is a local brewery in US, where you work as a digital marketing ...
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### Normalizing the columns of a matrix through matrix multiplications

Generally the normal equation is derived using a calculus-based approach of minimizing the least squares error. I'm trying to learn the linear algebra approach. My understanding so far is as follows: ...
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### Should I perform Tobit/Ordinal Regression instead of OLS?

I'm using regression to understand what demographic variables explain playtime and performance in an educational video game. Demographic variables are age is numerical while gender, race, income, ...
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### Confidence interval for Regression Trees

Many people think the regression tree is only an algorithm and it doesn't make sense approach confidence interval to it so I'd like to know if there's anyone figured out how to do it. A regression ...
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### How to visualize multivariate linear regression? [duplicate]

When I have data which has one dependent and one independent variable, I can clearly explain it in cartesian coordinate system here is a regression line when my $y$ approximately equals to $2x + 3$ ...
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### Confidence/Prediction Interval

Is it possible to establish a CI on forecasts/budget projections that are more subjective in nature, ie: no model was used for forecasting purposes? Is it reasonable to use linear regression on both ...
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### Is multiple regression the correct approach? [closed]

I'm having trouble deciding the correct approach to analyze a dataset. Say I have a big dataset of all the answers of a survey and I want to do profiles of the respondents that answered "NO" ...
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### How to measure relationship between one independent variable and multiple dependent variables when DVs are both continuous and categorical? [closed]

How can I measure the relationship between one independent variable and multiple dependent variables, but the dependent variables are a mixture of both continuous and categorical variables? The ...
1answer
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### How do I eliminate Linear dependence in a diff-in-diff model in R?

I am using panel data to try and observe the effects of Vietnamese immigration in the California Bay Counties in 80s. I am using R. I am regressing average weekly wages (adjusted for inflation) on the ...
1answer
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### how to deal with heteroscedasticity in least squares regression with multiple independent variables

I am trying to build a least-squares regression model and when I analyzed the independent variables, I saw a case of heteroscedasticity in one of the independent variables. I'm building this model in ...
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