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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analytically finding the dispersion of beta distribution in multilevel bayesian model

I want to create a multilevel bayesian model of the format depicted in the in figure below. I am examining # of conversions (out of total number of exposures) in multiple subgroups. The conversion ...
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13 views

Beta Regression for Multilevel / Hierarchical Linear Models in any Statistics Package?

I would like to run a (if possible zero-one-inflated) beta regression in a multilevel model with three layers. So far I have not been able to find any programs or packages that would support such a ...
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1answer
16 views

Notation for multi-level hierarchical model

I'm having a hard time understanding how to write a multi-level hierarchical linear regression model in mathematical language. Suppose, for example, that our independent variable is x, our dependent ...
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13 views

How does GEE (Generalized Estimating Equation) treat different cluster size?

I have a population of 200, 000+ patients and their hospital visit information. I'm trying to see if having a certain disease would have an effect on whether they will have readmission or not (this is ...
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5 views

Pooled results missing from GENLINMIXED multilevel analysis of multiple imputation data

I am running a multilevel analysis with the GENLINMIXED command (Analyze>Mixed Models>Generalized Linear Models) on a set of multiple imputation data. The data file was generated by the Multiple ...
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13 views

Clustered bootstrap for multilevel data with caret train in R

The clustered bootstrap would be appropriate for assessing predictive performance of a model with multilevel data where, for example, students are nested within schools such that there is a non-zero ...
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1answer
15 views

Difference between a random slope/intercept model and an ANCOVA with an interaction?

I attempted to run an ANCOVA with one binary predictor, one continuous outcome, and one continuous covariate. I found that there was heterogeneity of regression slopes and thus I concluded that an ...
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1answer
29 views

The “frog pond” theory [closed]

I have not understood the frog pond theory . The frog pond theory refers to the notion that a specific individual frog may be a ...
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37 views

can you analytically solve this bayesian hierarchical model - bernoulli trials

Is it possible to analytically solve (i.e., use a conjugate prior) the hierarchical model shown in the image below to obtain the posterior distribution. The data are composed of bernouli trials ...
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59 views

Consequence of violation of independence assumption on estimates of standard errors

from the first chapter , Introduction to Multilevel Analysis , p.5 of the book , it is written that : Standard statistical tests lean heavily on the assumption of independence of the ...
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1answer
28 views

Problems due to analyzing variables from different levels at one single level

Please ease the following paragraph from the first chapter , Introduction to Multilevel Analysis , p.3 of the book: Historically , multilevel problems have led to analysis approaches that moved ...
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What's an example of a situation in which it makes sense to assume random slopes but a fixed intercept?

I'm referring to multilevel modelling. Field (2013) writes: It’s worth noting that it would be unusual in reality to assume random slopes without also assuming random intercepts, because ...
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8 views

Do odds ratios have an effect on the variance components (level-2 variance) in multilevel models

I am estimating logistic multilevel models and have a question regarding the variance components (i.e. level-2 variance). I want to report my results as odds ratios and I am wondering if the ...
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31 views

Panel poisson regressions on rates and values far from 0

I am estimating the effect of some treatment on yearly district-level stillbirths and stillbirth rates and births and birthrates in a panel with district and year fixed effects. Stillbirths are ...
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1answer
77 views

How to respond to reviewers asking for p-values in bayesian multilevel model?

We were asked by a reviewer to provide p-values as to better understand the model estimates in our bayesian multilevel model. The model is a typical model of multiple observations per participant in ...
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1answer
24 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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14 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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19 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
38 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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12 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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11 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
55 views

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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0answers
16 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
32 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
25 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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1answer
34 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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33 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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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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9 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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33 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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0answers
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
110 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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21 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
59 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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0answers
14 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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0answers
22 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
44 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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0answers
14 views

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
36 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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13 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
34 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
29 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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0answers
34 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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0answers
19 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
34 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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0answers
25 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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0answers
33 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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0answers
24 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 ...