Linked Questions
33 questions linked to/from Do all interactions terms need their individual terms in regression model?
3 votes
1 answer
2k views
Can we skip the lower order terms in interactions? [duplicate]
This question is about three-way interaction and the possibility of applying without second lower terms with keeping the main variables in the equation not like the other questions. In fact the other ...
1 vote
1 answer
2k views
Are lower-order interactions a prequisite for three-way interactions in regression analysis? [duplicate]
I'm applying growth curve modelling and am interested in modelling a three-way interaction between predictors A x B x C. From what I remember a condition for modelling three-way interactions in ...
2 votes
1 answer
343 views
Model specifications - Independent variables interaction: hierarchy principle [duplicate]
I am testing the effect of commodity demand shocks to the foreign exchange market. Because my hypotheses include three-way interaction effects, I test my hypotheses using hierarchical regression model....
138 votes
18 answers
124k views
Including the interaction but not the main effects in a model
Is it ever valid to include a two-way interaction in a model without including the main effects? What if your hypothesis is only about the interaction, do you still need to include the main effects?
71 votes
4 answers
77k views
Does it make sense to add a quadratic term but not the linear term to a model?
I have a (mixed) model in which one of my predictors should a priori only be quadratically related to the predictor (due to the experimental manipulation). Hence, I would like to add only the ...
16 votes
1 answer
12k views
Interactions terms and higher order polynomials
If I were interested in fitting two-way interactions between a linear explanatory variable $a$ and another explanatory variable $b$ that has a quadratic relationship with the dependent variable $y$, ...
5 votes
2 answers
12k views
Does triple interaction need to include all main effect variables?
I have a triple interaction: AxBxD, where A and B are continuous variables and D is a dummy. My regression is Y = A + B + AxB + AxD + AxBxD In this case, do I HAVE TO include BxD also? In theory here ...
2 votes
1 answer
11k views
Testing for moderation with continuous vs. categorical moderators
I am testing an interaction effect where $X$ and $Y$ are continuous variable and $M$ (Moderator) is a categorical variable (effects coding $+1$, $-1$). I have no clue about how to do a post-hoc ...
3 votes
3 answers
4k views
What is the meaning of the beta for the interaction between continuous variables in a linear mixed-model?
If I create a mixed-effects linear regression model similar to the following (using the lme4 package in R), where all of the fixed effect variables are continuous: ...
2 votes
3 answers
4k views
Whether to include $x$ and $x^2$ in regression model examining diminishing returns when only $x^2$ is significant?
I have a data set with sales as $Y$ and total retail shelf space ($x$). I want to investigate the diminishing return, i.e. whether additional shelf space would contribute to more sales. I did ...
2 votes
1 answer
3k views
Interaction Terms and Logit Models
I have read the previous discussions on interaction effects and main effects, and I have a question on the subject. I am running a destination choice model (multinomial logit), and I have one ...
2 votes
1 answer
3k views
Why lasso yield a higher mse then ridge?
I do a rige and lasso regression on a train data set and get the lambdas via cross validation and evalute the prediction ...
6 votes
1 answer
558 views
Hierarchy principle: who defined it first?
Different questions here deal with the problem of whether to include main effects in interaction models, for example here, here and here (for the opposite problem, omitting interaction coefficients ...
1 vote
1 answer
1k views
AIC/BIC vs the rule of "must include lower order interaction"
I am running a series of mixed effect models, which include both linear and quadratic term of a variable T (continuous) and the main IV I (categorical), and facing a dilemma. Model 2 include ...
5 votes
2 answers
680 views
Testing significant differences between regressions in R
I am running several phylogenetic least squares analyses in R, where I'm taking an existing data set for several species, and adding two new species for which I have data. I want to do is test whether ...