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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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Simple slopes analysis for regression with user defined contrast codes

I am struggling with conducting a linear regression with user defined contrast codes and simple slope analyses of significant interactions between the contrast codes and categorical and continuous ...
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18 views

Longitudinal mixed-model with co-varaites

I'm currently have a longitudinal dataset with dependent variable Y measures over two time points (variable = Time) across 4 groups (variable = Group). This variable Y is a continuous variable ...
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simr power simulation testing interaction term for 2 factors

I have a model with two factors: a (4 levels) and b (3 levels). Each participant receives two problems (id as a random effect). I want to estimate sample size based on pilot data to give me ...
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1answer
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How do you use panel data to isolate the relationship of interest for a particular individual within your panel?

I have a panel data set where Canadian provinces are the individuals. (I have annual data from 1997-2017). I am using a random effects model to see the impact of an explanatory variable $X_{it}$ on ...
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Integrals simulation in the program R [on hold]

Given the simulation with the R program, show that the integral is below $\int_0^{\sigma^\pi (x)} x^2 \lambda e^{-\lambda x} d x =1/2$ . Assumptions of the problem let $x|\lambda \sim exp (\lambda) \...
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help interpret interaction effect in linear mixed effect

I am trying to predict response time (transformed in Log) from Group (a factor with two levels: NS and NNS), and Time of Testing (a factor with three levels: Pretest, Posttest, Delayed-test), using ...
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1answer
27 views

Interpret contradicting output of lmer model with categorical interaction in R

I am struggling to interpret my output in R. It does not make sense to me. I first regressed participants' ratings (= value) on manipulations (...
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Calculate odds ratios and P-value for interaction across multiple separate subgroups

I'm trying to understand/replicate an adjusted logistic regression analysis where a treatment effect is estimated separately in a number (>2) of subgroups and estimating an overall P-value for ...
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28 views

How powerful are second order interactions?

A lot of applications in statistics and machine learning model a phenomenon by second order interactions of variables and get good results. By second order interactions I mean, for a general variable $...
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Bayes factors and predictive accuracy in model comparison in rstan / brms

Despite reading up on the subject, I can't wrap my head round it, so the question remains on shaky grounds, and responses along the lines of "read chapter x" are very welcome. What I'm doing is I'm ...
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similar risk estimates between groups but have significant interaction

I am running a cox proportional hazard model to analyze the association between air pollution and risk of mortality. In the subgroup analysis, I obtained some confusing results. For example, when ...
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1answer
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Visualize cross over interaction logistic regression categorical variable in R

I have performed a logistic regression with the following variables: X: Categorical with three levels (St, An, Int) M: Moderator, which has two levels (Mob,Desk) Y: Dichotomous dependent variable (0/...
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ANCOVA: resolving hetrogeneity of regression slopes with multilevel modelling vs adding an interaction term

On the Wikipedia page for Multilevel model it is written that [M]ultilevel models can be used as an alternative to ANCOVA, where scores on the dependent variable are adjusted for covariates (e.g....
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Estimating weights in the assignment problem

How would you learn a function with the emphasis on feature interactions? I have the standard assignment problem: $$ \max_{x_{ij}} \sum_{(i, j)} w_{ij} x_{ij}, $$ where $w_{ij}$ is the weight of ...
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Testing interaction terms individually and simultaneously

I am currently testing two interaction terms individually in OLS regressions. Both interaction terms are significant (p < .5) when tested individually (i.e., two regression equations, one for each ...
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11 views

non homogonous data and interaction

I have an experiment design with: Variable 1 - 2 levels Variable 2 - 3 levels And demographic information collected about my participants: Demographic 1 - 2 levels Demographic 2 - 3 levels ...
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Multiple linear regression with dependent as a dummy predictor

I have a model $Y = \alpha + \beta_1X_1 + \beta_2X_2$. $Y$ has a bimodal normal(ish) distribution, so I'm looking to see if the relationship between the predictors and the response is different for ...
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1answer
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Help in Two-way ANOVA with Significant Interaction

(note: I removed the original table because there were some mistakes in it. I preferred to use R annotation of Sal's answer.) Hi everybody, I got the following results for an experiment of ...
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Using a t-test to follow-up on a non-significant interaction in an ANCOVA?

My question is about whether a t-test can be used to follow-up on a non-significant interaction found with an ANCOVA. I have an experiment that compares the impacts on students' learning (as measured ...
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Logit model: Interpretation of interaction effect with only dummies

I have a large binary logit model (cross-section) with many variables, mostly dummies. From the information on age, I have created 6 dummies: 17-24, 25-34, 35-44, 45-54 (reference group), 55-64 and 65+...
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How to properly represent a sum of interactions in ANOVA?

I would like to include an ANOVA-style linear model in my work that shows the main effects but has interactions lumped together in one term for brevity. When I do the analysis I will include the ...
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Interaction in logit

I am estimating a model where interaction terms play a role, and I am wondering which specification I should use, and how to interpret the results. More specifically, I regress a binary variable, say ...
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1answer
26 views

Interaction term to deal with heteroscedasticity

The variance in my dependent variable changes with a changing value in an important independent variable and is hence probably distorting the measured effect of the treatment. Can I combat this form ...
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Interpreting models with omitted interaction effects

Suppose I have two regressors, task availability (Xa) and task participation (Xp), and a DV Y. One can only participate in a task if it is available, but one can choose not to participate even if a ...
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1answer
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How to interpret interaction in Log Log models

I have the following model, and I am not sure how to interpret the elasticity of the interaction term (log-log coefficients): Log(member) = 3.61 + 0.52 Log(Poor) - 0.26 Log(Sick) + 0.04 (Log(poor) * ...
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1answer
23 views

Modeling interaction in variance

I run an experiment on both men and women participants, where I manipulate an independent variable. I know that the manipulation causes greater variance in the outcomes of the experimental group (a ...
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Mediation model of time series data

I'm quite new to mediation analysis so hopefully I can clearly explain my problem. I wish to conduct a mediation model with a single mediating variable. The independent variable is a time series EEG ...
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3answers
114 views

Interaction between dependent and independent variable

I am conducting a multiple linear regression on data from a cross-sectional study, and I suspect that there is an interaction between my dependent variable (a disease risk marker) and one independent ...
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1answer
24 views

Interpretation linear mixed model with interaction

I'm doing linear mixed model with an interaction between the time and my exposure. The fixed effects look like this : Y ~ T + T*GRP + X with T the time, GRP the exposure and X the adjustements ...
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Testing moderation hypothesis in regression discontinuity analysis

I am doing a regression discontinuity analysis in R (using the rdd package) and I am interested in testing a moderation hypothesis. I think that the effect of the treatment will depend on a third ...
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Using random forest to generate interaction terms for linear regression

What I want to do is: Setting random forest's each tree to be very shallow, probably 2 levels, or 3. Then I will create 100 trees. After that, I will use each tree's result as a predictor, and then ...
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What does it mean when running ANCOVA with two moderators and one of the interactions is insignificant when ran together?

I am hypothesizing that there are two moderators in the relationship between IV and DV. I ran one ANCOVA with moderator A and the interaction between IV and moderator A is significant. Then I ran ...
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Multiple regression: Interpreting three-way interaction with two categorical variables and one numeric (in R)

I have two quick questions. I’d like to confirm that I’m interpreting correctly one of my coefficients from a 3-way interaction in a multiple linear regression model. The summary of my model is below. ...
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Different ways of modelling interactions between continuous and categorical predictors in GAM

The following question builds on the discussion found on this page. Given a response variable y, a continuous explanatory variable ...
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interaction term between continuous moderator and independent dummy variable (in OLS)

i would like to check if there is an interaction between the independent contiunous variable leverage and the choice of auditor - dummy variable (audited by big4: 1). The dependent variable is ...
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Interpretation of model with interaction quotient

I am unsure about the interpretation of $\beta_1$ in the binary choice model $$Y=𝟙[\beta_0+\beta_1V+\beta_2\frac{V}{C}+\varepsilon>0].$$ Because I know that $V$ and $C$ are uncorrelated, I do ...
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Interaction analysis with categorical predictor and continuous moderator (and continuous outcome)

I'm working on a study in which I collect the following variables (among others), with which I would like to conduct a moderation analysis in R. condition (categorical, 2 levels) - predictor trait ...
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Can a complex interaction term mean more than what it's composed of?

I'm cross-posting this question on both Economics and Cross Validated to get answers from a different perspective on each field. It is generally accepted to cross-post if the question is tailored to ...
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Visualise: Interactions with Two Categorical Variables controlled for a continous variable

What is the best way to visualise an interaction between two categorial variables controlled for a third continous variable. e.g. ...
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Moderated mediation included in a bigger path diagram

I want to specify a path diagram with 7 (observed) variables. It includes the following two relationships: b ~ a; c ~ a+b. Analyzing these three variables separately, it is possible to define a ...
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1answer
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Is the significance of an interaction more important that the fit of a model?

I am new to lme4 and I am not sure if I understand correctly. If I want to know if there is an interaction between A and B, I have to write two models and then compare them with anova and the one with ...
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Conditional sorts as an alternative for regression models

I have the following regression model R=a+bX+cZX where R is the return and X is a control variable and Z is the variable of interest. As an alternative approach to the use OLS, often conditional ...
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Does an Interaction term **always** require “lesser order” term in the model? [duplicate]

Assuming a simple Linear model: $$\hat y = b_0 + b_1.x_1 + b_2.x_2$$ Where all coefficients are relevant to the model (p-value < $\alpha$). Then adding the interaction term: $$\hat y = b_0 + b_1....
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Two models or one? Significant effect of predictor - in two treatments

Say you have a response variable that you suspect is linearly affected by your predictor variable, but only under treatment A and not treatment B. I was tempted to model this as a linear model using ...
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2answers
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Can I remove significant interaction variable in regression model?

I have a regression model, which consists of 4 predictors and 1 interaction - i dont know what are the correct symbols and terms, so I will drop my model here: ...
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How do I address suppression (sign flipping) in a moderated mediation?

I am using the PROCESS macro (model 7) to examine a moderated mediation and ran into a new problem. Bivariate correlations show X is positively correlated with Mediator, but not with Moderator. ...
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How to measure the amount of confounding in tensor interaction in GAMs?

I am interested in fitting an additive model with tensor interaction terms. This construction is described in Wood (2006) and used in the mgcv ...
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20 views

Three-way interaction: slope difference test if simple slope is insignificant

I am currently conducting a three-way interaction (linear OLS regression) with three continuous variables. My dependent variable is also continuous. The three-way interaction term is significant (yes,...
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Interpreting the relationship between my instrumented variable (X1), X2, and Y (IV regression)

I have run an IV regression with a dichotomous outcome (Y) and my endogenous ("instrumented") regressor (X1) is also dichotomous. I am assessing whether continuous variable (X2) is moderating the ...
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Epidemiological research involving age at exposure to events as a continuous predictor

I'm looking for some more sophisticated analytical methods for assessing age-at-exposure effects. The literature I'm reading typically polytomizes age into groups, which I'd like to use as a last ...