Questions tagged [centering]
Centering involves subtracting the overall sample mean score from the original score; standardizing does the same followed by dividing by the overall sample standard deviation.
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Fixed-effects using demeaned data: Why are the demeaned predictions different from original data w/ fixed effects?
I'm hoping someone can help me understand why a fit regression model making predictions on panel data with group fixed-effects, outputs different results than the same model predicting on the same ...
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Centering Variables in Multilevel Models with Longitudinal Data
Enders and Tofighi 2007 provide a discussion on the various ways users can center variables in multilevel models and when each situation is appropriate. While they largely focus their commentary on ...
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Which Variables Should Be Centered in a Multilevel Model?
When only one variable in a multilevel model is of interest (all of the other variables are treated as nuisance parameters), and we wish to estimate between- and within-effects, should we only center ...
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Equivalence of Fixed Effects in Contextual Models with and without Random Slopes
When estimating "contextual models" (i.e., models that contain level-1 predictors as well as their cluster means on level-2), the estimation of the fixed effects should be unaffected by the ...
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Centering two level-1 variables to create interaction term before multilevel analyses? Thank you [duplicate]
I like to ask for some kind help from the readers here. I have a specific question on creating the interaction term from two level-1 variables before even running the multilevel analyses. Do you
mean-...
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Controlling for multilevel structure CLPM
I want to run an CLPM and have some questions regarding the clustered structure (school classes) of my data. I learned that centering can account for the nested data structure, but it is only ...
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Why does centering predictors resolve non-convergence in lme4?
I run quite a few mixed models in lme4. I've found that fairly often models don't converge unless the predictors are centered.
I found online that convergence warnings can sometimes be resolved by ...
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Interpretation of logistic regression slope
I am running a logistic mixed model with a binary outcome (correct/incorrect).
I have two fixed effect predictors:
Condition (0, ‘low’ vs 1, ‘high)
Sumspq (a continuous questionnaire score)
There is ...
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Interpreting intercept with centered predictors in logistic mixed model
I am running a logistic mixed model in lme4. The model is as follows
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Centering variables in Lavaan - Path analysis
I hope you're doing well. I'm currently knee-deep in path analysis using the lavaan package for my research. My analysis involves moderation, and centering the variables may simplify coefficient ...
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Methodology for Analyzing the GAP Between Provinces: Using Derived Variables and Considerations on Fixed Effects Regression
I have a panel data for 106 provinces and 10 year.
I want to use a new variable created from the difference of any observation with the mean of the top 10 provinces (highest value), year by year.
It ...
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Show: scaling transformation $Y_i=D^{-1}(X_i-\bar{X})$ can be written as $Y = HX_{n\times p}D^{-1}$
Show that the scaling transformation $\textbf{y}_i=D^{-1}(\textbf{x}_i-\bar{\textbf{x}})$ can be written as $Y = HX_{n\times p}D^{-1}$ where $H$ is the centering matrix $(I_n-\frac{1}{n}\textbf{11}')$....
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How to decorrelate $X$ and $X^3$?
We know that if $X$ is positive, then $X^2$ is highly positively correlated with $X$.
I've plotted an array of integer numbers from 100 and 110 with the following code:
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Centering a skewed predictor variable in a multilevel model that is involved in an 2-way interaction
Is there a correct method to center (mean or median centering) a skewed predictor variable in a multilevel model? The predictor is a skewed, count variable and will feature in a two-way interaction ...
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Within-subject mean centering of covariate in linear mixed models
I have a within-subject repeated measures dataset where participants were asked to rate images (48 items) at 3 separate time points (t0,t1,t2). Their ratings at t0 is what is defined as baseline, as ...
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