Statistical methods appropriate for the analysis of data sets comprising several levels of hierarchy of units of analysis (e.g., students nested in classes nested in schools; observations nested in patients nested in hospitals). If you can refer to more specific models like mixed-model or glmm, ...

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Results change when variables are scaled [on hold]

I am analysing nested data using LME4 and find that my results (significance) change depending on whether variables are scaled or not!? ...
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1answer
21 views

When fitting a GLMM, is the predicted value for any success or all successes or what?

I am relatively new to multilevel modeling and have just been given an assignment that uses a generalized linear mixed effects model. The outcome is smoking status (1=yes, 0=no) measured at three ...
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11 views

Multi-level linear model over 3 years?

My question has to do with that validity of preforming a multi-level regression where I have multiple years of data for companies in the same industry. Each year where there will be some different ...
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13 views

How to interpret a multilevel model that repeats variables for fixed and random effects (like in MCMhregress)?

I came across a specification of a multilevel model that I'd never seen before. It looks like the R function MCMChregress (see: ...
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1answer
28 views

Exploring a two-way interaction in multi-level regression, why do I get significant contrasts when the confidence intervals overlap on the graph?

I'm exploring a significant two-way interaction in a multi-level random-effects regression. The graph (below) appears to show the interaction is driven by differences at low X, and that at high X the ...
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8 views

HELP: Bayesian Multi-level model with seasonality

I am trying to define a Bayesian Multi-level model which has seasonality in BUGs. I have defined the model (below).I have attached a graphical representation of what im trying to model. eventually ...
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8 views

Covariance structure of a 3-level hierarchical model with random slope and intercept

I would like someone to confirm if I am getting correctly the covariance matrix in a 3 level mixed model with random slope and intercept. I have random intercepts at level 2 and 3 and a random slope ...
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1answer
35 views
+50

Multipliers on Top of Binomial Rate Estimates

I was wondering if anyone has come across a similar question to the following. I have data of the form $s_{x,y}, t_{x,y}$ (successes and trials) for varying groups with $x \in X, y \in Y$. I also ...
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15 views

Using Random Effects As Independent Variables in Other Models?

I was having a discussion with a colleague yesterday about an analysis he was doing with some student achievement data. We got into a discussion of value added models (VAM), which in my understanding ...
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1answer
27 views

Multilevel regression modelling with replicate weights in stata

I'm analysing a data set to which I do not have full access but am allowed to submit a limited number stata commands. These data used a complex survey design which is obscured for privacy reasons. ...
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1answer
18 views

Some Terminology in Multilevel Analysis

What is the meaning of the following terms in multilevel analysis: cross-level interaction; micro level; macro level?
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27 views

Multilevel Model

Multilevel Model , Level 1 regression equation: $$Y_{ij}=\beta_{0j}+\beta_{1j}X_{ij}+e_{ij}$$ Level 2 regression equation: $$\beta_{0j}=\gamma_{00}+\gamma_{01}W_j+u_{0j}$$ ...
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26 views

Intercept-Only Model

In this example, the model is $$Y_{ij}=\beta_{oj}+\beta_{1j}X_{1ij}+\beta_{2j}X_{2ij}+e_{ij}\ldots(1)$$ A class with a high intercept is predicted to have more popular pupils than a class with a ...
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9 views

Assumption of constant variance in every classes of multilevel regression analysis

In this post, in the referred book , it is also written that : The residual errors $e_{ij}$ are assumed to have a mean of zero, and a variance to be estimated. Most multilevel software assumes ...
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7 views

repeated measurements with different subjects over time

I am measuring methane oxidation over time. I sampled at 5 different time points (T1, T2, T3, T4, T5) to see if oxidation had occurred, each sampling time, say T1: I sampled 5 bottles, and I sampled ...
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29 views

Multilevel Regression Analysis Example

Here is an example . I have not understood some points which I have highlighted and adjacently asked what I have not understood. Assume that we have data from $J$ classes, with a different number ...
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12 views

How do you make one factor show as symbol, and another factor as colour in nMDS (vegan)? [migrated]

I am trying to make an nMDS plot of data with a nested factor. I would like the nMDS to show both factors on one plot by using symbols and colour. In this reproducible example, if ...
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24 views

How many components should be used? [duplicate]

How many components should be used? I've not really used SAS or SCREE plots how many compotents should be used? Where is the elbow?
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9 views

Ordination or Clustering method using layered data

I need a clustering method that makes use of layered data. I have around 50 random sampling points from a surface. Each point samples layers below that point. Imaging geological layers or water layers ...
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1answer
93 views

Torn between PET-PEESE and multilevel approaches to meta-analysis: is there a happy medium?

I am currently working on a meta-analysis, for which I need to analyze multiple effect sizes nested within samples. I am partial to Cheung's (2014) three-level meta-analysis approach to meta-analyzing ...
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0answers
18 views

Comparison of observations in subgroups?

I have two groups, group A and group B. Each group is composed of subgroups, say A1, ..., An and B1, ..., Bm. Within each subgroup we have a different number of observations, say A1 would contain ...
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24 views

Multi-Level (Sparse) A/B Testing

I've been reading some articles about Bayesian A/B testing such as: http://engineering.richrelevance.com/bayesian-ab-tests/ but my application requires a framework for handling sparsity and group ...
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0answers
47 views

Different variance estimator for multilevel ordinal logistic regression in Stata and R

I estimate a multilevel ordinal logistic regression models in Stata and R, and receive different estimators for the variance and the covariance of the latent variable of the higher level. Among other ...
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13 views

Multilevel model with multiple level 2 variables

I am estimating a model where I want to know how the performance will vary across the students as influenced by their individual characteristics and aspects of their schools. Performance is the ...
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20 views

Multilevel models benefits vs. separate group models

What are the benefits of multilevel models vs. running a separate model for each group? My understanding is that MLM offer a method to effectively model interactions against all the base predictors. ...
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1answer
37 views

When is mu_a used in this STAN example?

I'm looking at an example of a random effects model with 2 random effects fit by Peter Li demonstrating how get models fit in lmer into STAN. The code for this and the accompanying data are stored ...
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STAN slowed by rank deficiency?

Does having a set of predictors which are not linearly separable slow down the model fit in STAN? If so, why? I have tried to test this, and it appears to slow down the fit. I fit a model with 10,000 ...
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1answer
28 views

Difference between multilevel GLM and mixed linear models when the family is Gaussian and link function is Identity?

In Stata 13, there is now the new command "meglm" (multilevel generalized linear models) to analyse hierarchical models. My question is, what is the difference between the "meglm" with family of ...
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11 views

How would you set up this multilevel model?

I have data at multiple levels and am trying to figure out how best to structure and analyze the data. Participants completed five measurement occasions in each of four conditions (that is, it was a ...
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0answers
29 views

What does (1|g1/g2) mean in a lmer formula?

What does this formula mean? lmer(y ~ (1|g1/g2)) equivalently: lmer(y ~ (1|g1) + (1|g1:g2) According to the PDF that I ...
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1answer
26 views

How is Group Level Term Estimated in Multilevel Model?

I understand from reading Gelman and Hill that for a multilevel model such as this one $$ y_i \sim N(\alpha_j + \beta X, \sigma^2) $$ $$ \alpha_j \sim N(\mu, \tau^2) $$ The $\alpha_j$ group-level ...
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22 views

three level random coefficients in jags

How do I specify a three-level model in Rjags with random intercepts and slopes. I can’t find help anywhere, not even in Gelman and Hill, so hence this question: In the model below, which is the ...
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16 views

Can you exclude one country as robustness check in multilevel cross-country model?

I am conducting a multilevel study in which individuals are nested in countries. As a common robustness check in normal linear regressions, we can exclude one or a few countries with special ...
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1answer
33 views

Multi-Level Modelling: Do I have 2 levels or 3 levels?

I have a question regarding multi-level modelling and whether this would be a 3 level. I am conducting a tms study testing the effects of tms on face naming and tool naming. Basically, each ...
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21 views

Model selection (BIC / AIC) ordinal multilevel model containing a factor score and/or part of the factor

I am building a ordinal multilevel model (Stata 13.1; meologit-command). At this stage I am trying to conduct my model selection using the BIC / AIC. I estimated several models and now I need some ...
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31 views

Compound Poisson Distributions: When, Why, and How To Split the Problem

I've just stumbled upon the Compound Poisson Distribution (CPD) and it seems to be precisely what I need. For the purposes of this post, let's suppose I have a store that sells many items of ...
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21 views

The Multilevel Linear Model with 3 Levels According to Guo and Zhao (2000)

I'm reading the following paper to learn about multilevel modeling: Multilevel Modeling for Binary Data Guang Guo and Hongxin Zhao Annual Review of Sociology Vol. 26, (2000), pp. 441-462 They ...
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19 views

imbalance in sample size at multilevel longitudinal data

I have longitudinal data (BMI level) measured at 3 time points and subjects are students nested to schools. The sample size in school level differs considerably (n=85 % in school 1, n=10 % in school ...
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9 views

Comparing trajectories of two outcome variables in longitudinal data

this is the situation: Study-type: prospective population-based (N = 4,000) with baseline (T1) and three follow-ups (T2 - T4) Between variable: cardiovascular health at T1 (good vs. poor) Within ...
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16 views

How does missing data (not at random) affect Bayesian models?

When I was a student learning about Bayesian models, we were taught that missing data was not a problem because they would be imputed. However I am wondering about how missing not at random (MNAR) ...
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31 views

Multilevel model with repeated data and time fixed effects?

I am using pooled cross sectional survey data to estimate prefernce for redistribution. I have 33 countries for 6 survey rounds covering the periods 2000-2013. I would like to estimate the effects ...
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24 views

ICC for growth model

I have searched quite a bit for this answer. Is there an ICC for unconditional growth models. Not the unconditional means model, but a growth model. I suppose I mean to ask is there a way to describe ...
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0answers
18 views

Analysis of insane factorial designs

I'm seriously thinking of doing the following experiment in the field of attention research. In this particular area there are some factors of importance that appear to modify participants' response ...
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1answer
17 views

Should I center time variant predictors in repeated measures multilevel models?

I have a multilevel model built coinsidering repeated measures on students. Students performance may vary depending on study hours and tutoring hours before each exam. Should I center the predictors ...
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1answer
78 views

What inputs, ideas or insight the community can offer on the subject “A simulation study of sample size for multilevel logistic regression.” [closed]

I have been assigned a topic on "A simulation study of sample size for multilevel logistic regression." I have searched the topic but found little reference on it. Could you please offer some ...
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0answers
19 views

Multilevel data - varying numbers of observations at lowest level

I have a number of entities and within each entity is a number of individuals. Each entity is of a different size. More specifically, each entity can have anywhere between 1 & ~1000 individuals. ...
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31 views

Syntax for a logistic multilevel analysis in R?

I am looking for advice on what package and syntax to use in R for modelling a logistic multilevel analysis with variables as follows: Dependent variable (binary) = 0 or 1 Independent variable 1 ...
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23 views

Fitting a multilevel AR1 in R

I have some short grouped time series data. I would like to fit a dynamic multilevel regression model in R, with random coefficients for the mean and first order auto-correlation in each group, and ...
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19 views

high standard error in random intercept model

I am fitting multilevel logistic regression to left without being seen (LWBS) by providers as dependent variable for each visit to 6 hospitals (random intercept of each hospitals). The total number ...
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1answer
42 views

Comparison between a multilevel and an unpooled model

Suppose we have fitted two models: a multilevel model and an unpooled model: m1=lmer(y~x+(1|group)) m2=lm(y~x+factor(group)-1) How can I understand which ...