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How do I interpret different results from simple regression, multiple regression, moderation, and mediation?

I'm currently doing a multiple linear regression analysis on Spirituality and Forgiveness to see how it affects Life Satisfaction. If I put the IVs individually into linear regression they both show ...
user442416's user avatar
6 votes
3 answers
608 views

Is it meaningful to test the interaction effect if there is no significant effect in the main effect model?

Suppose we have a linear regression model with two covariates, $y = \beta_0 + \beta_1 x_1 + \beta_2 x_2$. There are three possible scenarios: Both $\beta_1$ and $\beta_2$ are significant. Either $\...
zjppdozen's user avatar
  • 347
3 votes
3 answers
489 views

Comparing models with main effects and interactions

I have two models: Model 1: Only contains independent variable $x$, while $x$ is non-significant. Model 2: Contains $x$, $m$, and $x * m$, and $x * m$ is significant. How could I illustrate this ...
david's user avatar
  • 31
1 vote
0 answers
71 views

Fixed effects regression for unbalanced panel data (sample size, interaction term, statistical significance)

I have a highly unbalanced panel data set (n= 70 firms, T= 5-3000 observations per firm, N= 15000 observations overall). I specified a fixed effect regression with time and entity fixed effects. I ...
Mina's user avatar
  • 31
1 vote
2 answers
107 views

When is an interaction in quadratic regression significant?

I run a regression with a continuous variable $x_2$ and a binary grouping variable $x_1$. We suppose that the effect of $x_2$ is quadratic on the dependent variable $y$ and our question is whether the ...
LulY's user avatar
  • 343
0 votes
1 answer
134 views

Test for moderation effect in multiple regression

I am trying to build a regression model to find the correlation between the features of thumbnails and the popularity of videos. I am proposing that category of videos is the moderator of the ...
ftyzz's user avatar
  • 1
0 votes
1 answer
589 views

One of the main effects not significant, but interaction term significant

A is significant B is not significant A x B is significant Do I say that (1) There exists a ...
nerd's user avatar
  • 165
1 vote
1 answer
384 views

Compare conditional effects (simple slope) from regression model

I have the following regression outputs from a model that includes both quadratic and cubic interaction terms. I calculated the simple slopes using the simle_slope from reghelper. ...
zjppdozen's user avatar
  • 347
0 votes
0 answers
148 views

How to test interaction effect with small sample size?

Into my model x is categorical variable with 3 categories: 0,1 & 2, where 0 is reference category. However number of "0" categories are much larger than others (1,2) which increases the ...
Underwood's user avatar
  • 111
1 vote
2 answers
73 views

Testing whether dividing independent variable into groups is rational

Let's imagine that we have three variables - $Y, X_1$ and $X_2$, where $Y$ is dependent continuous variable, $X_1$ is continuous variable and $X_2$ is discrete variable with two factors - $0$ and $1$. ...
John's user avatar
  • 532
1 vote
1 answer
78 views

Exploring shifts in response to dichotomous dependent variable

I have one dichotomous dependent variable (buried with grave goods or not) and a series of categorical and continuous independent variables (age at death, year of death, sex, socioeconomic status) for ...
archdata's user avatar
2 votes
3 answers
94 views

Why main effect becomes non-significant after reversing moderator?

I am currently fitting a linear regression with two IVs and their interaction effect: Y = β1X1 + β2X2 + β3X1*X2 The data was collected in an experimental study. X1 is a dummy variable, taking the ...
statsq's user avatar
  • 23
0 votes
1 answer
91 views

Help: Interpretation of Interaction Effect using a Linear regression in R

Im applying a regression to test the association between maternal postpardum depression score (maternal_postpardum_score) and functional connectivity changes (FC) in the brain - both continuous. I ...
hsayya's user avatar
  • 147
2 votes
1 answer
294 views

Regression - Merging separate linear regression models

I'm trying to assess if the following intuition has sense or not. Any help will be appreciated. Consider two simple linear models obtained in the same experimental framework (for example, measurements ...
smndpln's user avatar
  • 472
1 vote
2 answers
71 views

Linear regression for main effect not interaction effect

I have a linear equation: lm(Connectivity ~ (Complex-Attention + Memory)*MDD, data = D) From this association I obtain a significant main effect but no ...
J.Doe's user avatar
  • 23
6 votes
2 answers
8k views

How do you get confidence intervals for interactions of variables?

Suppose I am building an OLS model with the following specification: $$y = \alpha + \beta_0x_0 + \beta_1x_1 + \beta_2x_0x_1 + \epsilon$$ The variable $x_1$ is continuous and $x_0$ is binary. When $x_0$...
badmax's user avatar
  • 2,251
6 votes
1 answer
297 views

Does a significant interaction necessarily implies that at least one of the simple effects will be significant?

Considering that the interaction between two variables is significant, is it always the case that at least one of the two simple effects will be significant? If so, is there any proof or a counter ...
mat's user avatar
  • 613
-1 votes
1 answer
544 views

How to determine economic significance of an interaction term of two continuous variables in an OLS regression? [closed]

Y= Intercept+ Beta1X1+ Beta2X2+ Beta3(X1X2)** I want to determine the economic significance of Beta3 when Y, X1, and X2 are continuous variables, preferably in terms of standard deviation units. Is ...
Abhinav Sharma's user avatar
1 vote
2 answers
196 views

Statistical illusion? What's statistically happening, when regression analysis results get significant only with all predictors and interaction term?

I got a research question, where the hypothesis (derived from theory) postulates, that the relationship between predictor X and outcome Y is moderated by W (X+W+X*W -> Y). All variables are sums of ...
Madamadam's user avatar
  • 247
0 votes
1 answer
157 views

Regression interaction terms in stata

I am currently studying the relationship between having a supervisory job and having traditional values when it comes to child care (woman staying home). I want to find the relationship with ...
Sabine's user avatar
  • 35
2 votes
1 answer
2k views

Interaction term is significant WITHOUT main affects... AND main effects are significant WITHOUT interaction term?

I am trying to determine the effect of a person's weight and the incline that they are running over on their running speed. I'm just using a simple linear model in R, but I get a weird situation where ...
Andrew's user avatar
  • 63
0 votes
0 answers
91 views

how to interpret if the coefficients of two predictors are positive,the coefficient of the interaction term is negative? [duplicate]

I have a multiple regression model.The predictors A,B,AB are all significant. But the coefficients of A and B are positive while the coefficient of AB is negative. How to interpret it? (A ranges from -...
Y.Z's user avatar
  • 1
3 votes
1 answer
12k views

How to test if an interaction is significant: interaction terms or model comparison?

I ask the question based on a current case, but I would really appreciate a general answer, because it has been bugging me for some time: I'm running regressions with interaction effects. How do I ...
Ranjit Singh's user avatar
2 votes
1 answer
250 views

Ceiling effect in mediation AND/OR moderation

I have a variable (Y) with a mean that is probably too high. (and large prop of participants scoring the maximum score) My hypothesis was that X-Y is stronger at high (vs. low) levels of the ...
llbia's user avatar
  • 381
1 vote
1 answer
369 views

Interpreting insignificant 3 way-interaction alongside significant 2-way interaction

Let's say we have a situation like this - we are predicting y with one continuous (cont) and 2 categorical predictors (A and B). A and B have only two levels - 1 and 0, and reference is 0 $y\sim cont+...
User33268's user avatar
  • 1,782
5 votes
1 answer
1k views

Significance in simple regression but not multiple regression

Background: I am trying to show an increase in a number of variables over time, so initially I ran a simple linear regression. However, I subsetted the data so ...
Danib90's user avatar
  • 427
0 votes
2 answers
1k views

Moderator and Independent variable Interaction terms non-significant

I have fitted a regression model on my mean-centered variables. Every regression coefficient is significantly different from zero but the interaction terms created by multiplying the independent ...
Edison's user avatar
  • 445
4 votes
3 answers
9k views

Significant interaction but non-significant simple slopes

I conducted a multiple regression analyses that included an interaction term (continuous x continuous). The interaction term was significant, but none of the simple slopes (1 SD above the mean, at the ...
ApprenticeJunior's user avatar
1 vote
1 answer
3k views

Logistic regression: my main effects lose significance when I add my interaction effects. Why?

I have a dichotomous dependent variable for a 2x3 experiment. There are about 30 observations in each cell, for a total sample size of about 180. Each person was only in one cell. The dependent ...
Jill's user avatar
  • 13
5 votes
1 answer
3k views

Adjusted R-squared: number of terms or independent variables?

When applying a multiple linear regression, does the adjusted R-squared value depend on the number of independent variables in the model or the number of terms? Specifically, I'm concerned that adding ...
Dan's user avatar
  • 921
1 vote
0 answers
61 views

interaction term not in expected direction [closed]

I am conducting a hierarchical regression analysis to test interaction effects. The main variable and the moderator are related to the dependent variable significantly and in expected direction. ...
vas's user avatar
  • 11
5 votes
0 answers
5k views

How to determine the significance of an interaction?

My question is simple: How do you determine the overall significance of an interaction (i.e. the marginal effect of $X$ on $Y$ for different values of $Z$)? But the background is a bit long-winded,...
landroni's user avatar
  • 1,133
13 votes
1 answer
53k views

The main effect will be non-significant if the interaction is significant? [duplicate]

I am using linear mixed models to identify important factors, and it turns out that: A: significant B: not significant ...
user3288202's user avatar
  • 1,345
4 votes
1 answer
3k views

Interpretation of interaction terms if main effect is insignificant

I have read the questions posted here about how to deal with the situation of significant interaction terms but insignificant 'main' effects, and my main take-away is that it depends on your research ...
yumba's user avatar
  • 563
2 votes
1 answer
288 views

Comparison of two linear regression models with squared regressors

I need to compare two linear regression models that include the regressors in levels and in squares: $Y=a_1x^2+b_1x+c_1$ and $Y=a_2x^2+b_2x+c_2 $ Specifically, I need to test whether these ...
Jay's user avatar
  • 21
0 votes
0 answers
117 views

How to address and acknowledge a significant interaction that has little practical meaning

I am building a model with a highly significant interaction. This interaction was one of our main hypotheses. It is clear, however, that the form that the interaction takes does not represent a ...
rjweyant's user avatar
  • 187
7 votes
1 answer
7k views

How to interpret the significant interaction of two non-significant main predictors?

I have two non-significant main binary variables in my binary logistic regression model, but their interaction is significant. The variables are centered and no multicollinearity is the case (all VIFs ...
Vic's user avatar
  • 1,363
3 votes
2 answers
525 views

Graphing versus further testing interactions

Following the question here, I have come across different (textbook) recommendations. Some authors suggest that the effect of the moderating variable is best understood in a graphic form. Others ...
Adhesh Josh's user avatar
  • 3,345