# Questions tagged [interaction]

A situation where the effect of an explanatory variable may depend on the value of another explanatory variable.

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25 views

### Interpret results from mixed model with interaction terms

I want to analyse the distance covered by players per minute (TD_min) among player role and playing phase (possession, non possession). Main question is: does possession phase influence distance ...
17 views

### Three-way interaction interpretation

Suppose that I am interested in the effect of income on consumption by gender: $$consumption_i = \alpha_i + \beta_1income_i + \beta_2 male_i + \beta_3 (income * male)_i + \varepsilon_i$$ In this two-...
15 views

### How should one interpret interactions when having quadratic terms?

In my experiment participants were measured at 4 time points. Being a repeated measures design I am using a Linear Mixed Model with participants as the cluster variable and I have random intercepts ...
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### Significant interaction but non-significant pairwise comparisons

I ran a 3-way ANCOVA (3 within x 3 within x 2 between) and ended up with a significant 3-way interaction (p=0.047, so the significance wasn't large to begin with). I ran additional 3 2-way ANCOVAs for ...
7 views

### Interaction terms and distinction between models that seem similar

Interaction terms are the bane of my existence. Hoping to get some clarity here! Imagine we have information on (average) wages by country, on group A, group B, and education levels of group A and ...
20 views

### what is the ratio of a ratio of two variances

I know that the ratio of two variances leads to an F-test but what of the ratio of two variance ratios? Is there are simple comparable result? Essentially I'm looking for the analogue of an ...
11 views

### Interpretation of a positive interaction term when the two variables are negative [duplicate]

I have the following regression equation: Fertility = - 0.2197 - 0.14986 educ - 0.1646259 rural + 0.0417699 edu_rural Where rural is a dummy variable for Rural area=1 and Urban area=0 ad educ is years ...
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### Crossover and moderation effect, is it possible? [closed]

Is it possible to get a crossover effect when the main effect of the moderator is significant?
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### Exploratory search for interactions in linear regression with normal distr. of residuals but non-normally distr. DV

I am conducting a very exploratory analysis (I.e., few to no specific predictions about which predictors/interactions are most relevant) assessing whether ten IVs (all binary) predict one DV (...
10 views

### How to transform an interaction plot toward additivity

Draw an interaction plot that when $x^2$ transformed may help move the model towards additivity. I know that an additive model has no interaction, so the squared transformation should result in the ...
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### Tweedie distributions for large dataset, power parameter for different density peaks and random effects

I have a large dataset (343750 variables and 151 observations) and I want to model each variable as a response one in order to know if it can be explained by the group of patients and the gene ...
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### How is the suppresor effect explained in papers, expecially when exposure is a suppresor?

I have a model where independent variables are age, sex, number of people in family, number of children in family and some others. The exposure is a derived binary variable income_per_person (1 if ...
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### Interaction term interpretation linear regression

currently I'm doing research about the relation between body weight and the social status of children, but I'm stuck. I hope somebody can help me with the interpretation of the interaction terms in ...
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### How to model first difference estimation with interaction terms

I trying to get my head around asymmetric fixed effects with interactions terms. I understand most of: Allison, P. D. (2019). Asymmetric fixed-effects models for ...
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### Can I take the mean of multiple estimates in a regression, and does that make sense?

I have dataset with 10.000 observations from 100 countries and a variable problem_measure that measures the degree to which something is a problem. The variable <...
12 views

### Interactions or multigroup SEM?

Let's suppose I have model with three latent variables (L1, L2, L3). These three latent variables are included as regressors in a path explaining Y (a measured variable), so the equation would be: Y =~...
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### Interpreting constant in regression with an interaction term

In a regression model with a single categorical exposure and no interaction term of the form: $y = \beta_0+\beta_1x_1$ the $\beta_0$ can be interpreted as the result in the reference group. So for a ...
9 views

### Given a specific model how would you find the possible effects and interactions of the factors?

I am looking for contaminations on two different beaches N and S at two different times T1 and T2. Where it is suggested that Beach N has a higher risk of contamination than beach S and the levels ...
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### Must interacting dichotomous categorical predictors be treated as factors?

If examining the main effects of dichotomous categorical variables, the levels of which are binary and absolute (present/absent), must they be treated as factors rather than numerics? Would the answer ...
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### How can I do a moderation analysis on non-parametric linear regression fitted with the Siegel method?

I have 3 variables in a dataset, all of which are not normally distributed. I have used the Siegel method (mblm package) for non-parametric data to fit linear regressions between all 3 variables which ...
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### Main effect becomes insignificant when adding an interaction term (which also is insignificant) - why?

I have a regression with 2 predictors: gender (=1 if female, 0 otherwise) and risk attitude (measured on a scale from 0 to 10). When I only include main effects, i.e. run the model DV = b0 + b1Gender +...
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### Logistic Regression: Variable total covid cases per 1MM is not significant but total covid cases (without population adjustment) is significant

I am working on a university paper regarding the effects of COVID severity (total cases per 1MM, total cases) on whether a party in an acquisition (company transaction) is more likely to be the ...
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### When using a GAM with mgcv in R, how do I correctly plot and interpret multiple interaction terms with ti() and te()?

I am using GAMs in the mgcv package and have an interaction (a term I use loosely here - see here) that I want to plot. I am exploring how ...
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### Interpreting interaction effects in regression

Suppose we are regressing Y = aX + bD + cXD. a and b are main effects of variables X and D, and c is the interaction effect. Assume both X and D are continuous variables. How to interpret the effect ...
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### Model selection and interaction terms in multivariate regression analysis of compositional data (Dirichlet regression)

I am currently exploring Dirichlet regression models to model fatty acid compositional data. I am using 2 categorical predictors and 1 continuous predictor (treatment group, sex, and total lipids). ...
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### How to interpret the value of an interaction coefficient between two effects coded binary predictors?

Let's imagine an experiment where people look at pictures and then rate their mood after each one from 1 (sad) to 7 (happy). The pictures can either be happy or sad (IV1), and participants are either ...
8 views

### How to analyse an interaction plot with categorical response and two categorical predictors that form the interaction term?

I have computed a GLMM with BACI design, having one categorical response and two categorical predictors that form the interaction term as follows: ...
26 views

### subgroup analysis in complex mixed model

I have a dataset of the information on all students in a number of schools drawn from a number of cities. To check the interaction of student gender on variables X and variables Y in the dataset, I ...
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### Is it possible to fit an interaction model (multiple linear regression) with many categorical variables?

Basically the title. I was trying to fit an interaction model with a quantitative response variable and 6 predictors - 3 quantitative and 3 categorical. When I tried to do it in R: ...
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### Is it possible to draw an interaction plot just by looking at the result table?

I analyzed panel data using ML-SEM by Stata. It seems obvious that the usual methods to draw an interaction graph don't work in this context. Is there any way to guess how the interaction graph would ...
64 views

### Does gaussian process regression model interactions?

Suppose there are two feature variables and one target variable. We want to predict the target variable based on a Gaussian Process Regression model. Does this model (e.g., the GPR model of the type ...
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### Interaction effect and plot in glm in r

I have a data frame below where I want to see the interaction effect between age and gender on a certain diseases. Disease is dependent variable with binary values and I am doing logistic regression. ...
29 views

### standard error of the marginal effect of a three-way interaction

Imagine we have a three-way interaction. For example: Y = b_0 + b_1X + b_2W + b_3Z + b_4XW + b_5XZ + b_6ZW + b_7XZW + e I want to know how to compute the standard ...
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### How to interpret regression with logs and Interaction (dummy and continous)

I have a regression of $Y= a\log(x) +b\log(y) + c\log(w) + dZ + e\log(x)\cdot Z + f\log(y)\cdot Z + g\log(w)\cdot Z$ $Z$ is a dummy while $x,y,w$ are all continuous. How would I interpret the ...
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### Calculating confidence interval for slope in a linear regression that includes an interaction term?

The equation for a linear regression with an interaction term is $E(Y|X_1, X_2)=\beta_0+\beta_1X_1+\beta_2X_2+\beta_3X_1X_2$. Let $X_2$ be binary. The slope for the association between $X_1$ and $Y$ ...
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### Emmeans and contrasts after fitting a linear mixed effects model (repeated measures) - A complex model

I am facing a really complex model and tried several models and post-hoc tests -with a great help from StackExchange- and would really appreciate your opinion. I need to fit a linear mixed effects ...
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I have a question that are conceptual and statistical in nature. It might seem elemental but I am unable to find any clear answers online so I was hoping to find them here! They pertain to ...
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### Multi-group SEM with categorial IVs & nominal moderators

I'm trying to figure out how to test my moderators. I have a 2x2x2x2 experimental design & I'm testing my model with a multi-group SEM. My IVs are manipulated and form 16 groups. I'm also having ...
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### How to interpret a significant effect present in a subset data but absent in the full data

My model has 3 predictors: Group (A vs. B) Condition (baseline vs. treatment) Memory (a continuous variable) The model gives an interaction between Condition and Group. I then tested the simple ...
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### Is a signficiant interaction term in Poisson really statistically significant?

I am very aware that the magnitude of the interaction effect in nonlinear models does not equal the marginal effect of the interaction term, can be of opposite sign, and its statistical significance ...
47 views

### How to scale interactions in regression (quantitative*qualitative)

Supose I have two variables in a model, and their interaction, like this: lmer(response~x1+x2+x1*x2+(1|time), data=db) If x1 have a very big scale (like a city ...
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### Insignificant interaction term - but only for low values of main effect - decline hypothesis?

I run a regression with multiple predictors. I am interested in relationship satisfaction (fictional example). I use gender and hours of time spent together (continuous) as predictors. In my ...
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### How to specify an interaction term with a lagged indep. variable and a year dummy with fixed effects regression?

I would like to compute the fixed effects model in the picture: Note that first and second term of the equation is district and year fixed effects. The Third term is the interaction between a ...
23 views

### With multiple imputed data, how do you probe a categorical-by-categorical interaction in logistic regression?

I am working with 10 multiple imputed datasets in SAS. I used the command PROC SURVEYLOGISTIC to fit a multivariate model with 6 predictors (3 dichotomous and 3 categorical) and their interaction ...
18 views

### How do we calculate Standard Errors for effect-coded variables?

I'm a beginner following this UCLA tutorial to figure out how to interpret coefficients for effect-coded categorical predictors and have a couple of questions regarding their regression table below, ...
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### How to interpret interact_plot for categorical x continuous interactions

I'm wondering how to interpret interact_plot plots for categorical x continuous interactions. Here's a toy example to illustrate: ...
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### Can I evaluate additive interaction for GLMM

I am currently running a GLMM (log-link function) examining the effect of two treatments on the instances of an arthropod. I seek to determine if there is additive interaction between the two ...
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### What to do if adding an insignificant interaction term severely increases p value of main effect?

I'm analysing a dataset consisting of 24 animals, subdivided in 12 pairs of animals which are sampled from 12 representative litters of animals. Both animals in each pair are of the same sex, with a ...