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9 votes
1 answer
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On the use of weighted correlations in aggregated survey data

I am analyzing data from two surveys that I merged together: School staff survey, for years 2005-06 and 2007-08 School students survey, for years 2005-06 through 2008-09 For both of these data sets, ...
Iris Tsui's user avatar
  • 701
13 votes
2 answers
841 views

MCMC converging to a single value?

I'm trying to fit a hierarchical model using jags, and the rjags package. My outcome variable is y, which is a sequence of bernoulli trials. I have 38 human subjects which are performing under two ...
JoFrhwld's user avatar
  • 2,457
6 votes
3 answers
477 views

Estimating correlated parameters with multi-level model

I would like to estimate a multi level model in Stata or R (using lmer) where the first level coefficients are the same for all observations, but the coefficients within observation are correlated. ...
DanB's user avatar
  • 958
4 votes
3 answers
5k views

Stepwise model selection, Hosmer-Lemeshow statistics and prediction success of model in nested logistic regression in R

is it possible to do stepwise (direction = both) model selection in nested binary logistic regression in R? I would also appreciate if you can teach me how to get: Hosmer-Lemeshow statitistic, Odds ...
Richard Muallil's user avatar
5 votes
1 answer
124 views

Testing for the effect of an intervention when it is applied on a group of which each individual is measured

Suppose we have 500 students nested in 20 classes (different classrooms), 25 students per class student<-factor(1:500) class<-rep(LETTERS[1:20],each=25) ...
Avery Richardson's user avatar
3 votes
1 answer
128 views

Statistics of events and invitations

I am going to be hosting a number (~10) of potluck meals over the course of the summer, my pool of people to invite is about 40 people with about 10-15 coming to each meal. So I figure this would be a ...
Jordan's user avatar
  • 133
21 votes
6 answers
13k views

R package for multilevel structural equation modeling?

I want to test a multi-stage path model (e.g., A predicts B, B predicts C, C predicts D) where all of my variables are individual observations nested within groups. So far I've been doing this through ...
Steven L. Johnson's user avatar
6 votes
2 answers
812 views

Possible identifiability issue in hierarchical model

I'm trying to fit some data using a hierarchical normal model $y_i \sim N(\theta_i,\sigma^2)$ $\theta_i \sim N(\mu, \sigma_\theta^2)$ $(\mu,\sigma^2,\sigma_\theta^2) \sim diffuse$ I fit this ...
user4528's user avatar
10 votes
1 answer
66k views

How to deal with omitted dummy variables in a fixed effect model?

I am using a fixed effect model for my panel data (9 years, 1000+ obs), since my Hausman test indicates a value $(Pr>\chi^2)<0.05$. When I add dummy variables for industries that my firms ...
BEF's user avatar
  • 131
10 votes
3 answers
2k views

Why the exchangeability of random variables is essential in hierarchical bayesian models?

Why the exchangeability of random variables is essential for the hierarchical Bayesian modeling?
user3125's user avatar
  • 3,089
4 votes
0 answers
3k views

Panel Data: In a fixed effects model, does auto-correlation introduce bias?

Given a panel of countries over time, a fixed effects estimator makes sense to control for country-specific effects. My intuition tells me that if the dependent variable is correlated with lags of the ...
Wilduck's user avatar
  • 395
3 votes
1 answer
355 views

Predicting index from multiple predictors using panel data over 10 years: logit or probit? Fixed or random?

I am writing my master´s thesis in finance on the topic of voluntary disclosure of financial targets in annual reports of manufacturing firms. Context I have created a dependent variable that is an ...
BEF's user avatar
  • 131
46 votes
4 answers
80k views

Standard error clustering in R (either manually or in plm)

I am trying to understand standard error "clustering" and how to execute in R (it is trivial in Stata). In R I have been unsuccessful using either plm or writing my ...
Richard Herron's user avatar
6 votes
2 answers
3k views

Correct specification of longitudinal model in lme4

I am trying to fit a multilevel longitudinal model and i have a question regarding how to specify it. The data consist of about 8k observations collected from about 3k individuals at four time points. ...
George Michaelides's user avatar
6 votes
2 answers
899 views

Deriving mathematical model of pLSA

After knowing how LSA works, I went on continue reading on pLSA but couldn't really make sense of the mathematical formula. This is what I get from wikipedia (other academic papers/tutorial show ...
Jeffrey04's user avatar
  • 207
22 votes
2 answers
836 views

Fisher information in a hierarchical model

Given the following hierarchical model, $$ X \sim {\mathcal N}(\mu,1), $$ and, $$ \mu \sim {\rm Laplace}(0, c) $$ where $\mathcal{N}(\cdot,\cdot)$ is a normal distribution. Is there a way to get an ...
emakalic's user avatar
  • 2,099
10 votes
1 answer
6k views

Clustered standard errors and multi-level models

Stata allows estimating clustered standard errors in models with fixed effects but not in models random effects? Why is this? By clustered standard errors, I mean clustering as done by stata's ...
DanB's user avatar
  • 958
2 votes
1 answer
2k views

Multiple imputation for clustered data

I have a few questions regarding multiple imputation for nested data. Context: I have repeated measures (4 times) from a survey and these are clustered in workplaces (205 workplaces). There are about ...
George Michaelides's user avatar
25 votes
2 answers
15k views

Why is a $p(\sigma^2)\sim\text{IG(0.001, 0.001)}$ prior on variance considered weak?

Background One of the most commonly used weak prior on variance is the inverse-gamma with parameters $\alpha =0.001, \beta=0.001$ (Gelman 2006). However, this distribution has a 90%CI of ...
David LeBauer's user avatar
25 votes
3 answers
624 views

Equations in the news: Translating a multi-level model to a general audience

The New York Times has a long comment on the 'value-added' teacher evaluation system being used to give feedback to New York City educators. The lede is the equation used to calculate the scores - ...
Andrew's user avatar
  • 575
5 votes
2 answers
6k views

Why do I get different heteroscedasticity robust standard errors in R when using the plm package?

I am now writing my bachelors thesis and I have come across some difficulties. I am about to do some panel regressions with time and entity fixed effects and I would therefore like to use the plm ...
Skolnick's user avatar
4 votes
2 answers
7k views

Evaluating effect sizes of interactions in multiple regression

I have been running 3-level multilevel models with HLM, and my main interest is in some cross-level interaction effects that I am finding. My concern is that the effect sizes of these interactions ...
user avatar
15 votes
3 answers
5k views

Removing factors from a 3-way ANOVA table

In a recent paper, I fitted a three-way fixed effects model. Since one of the factors wasn't significant (p > 0.1), I removed it and refitted the model with two fixed effects and an interaction. I'...
csgillespie's user avatar
  • 12.9k
5 votes
1 answer
3k views

Multi-stage selection model with panel data in R

My data consists of individual level observations nested within countries over time. I would like to use multilevel models along with some sort of selection model. I have three related questions. ...
Robert's user avatar
  • 285
10 votes
4 answers
9k views

How to test random effects in a multilevel model in R

I have been reading a good book called Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence by Judith Singer and John Willet. The book shows that by modeling in 2 levels, we can ...
biostat_newbie's user avatar
440 votes
9 answers
893k views

What is the difference between fixed effect, random effect in mixed effect models?

In simple terms, how would you explain (perhaps with simple examples) the difference between fixed effect, random effect in mixed effect models?
Andrew's user avatar
  • 6,318
41 votes
3 answers
10k views

What's the relation between hierarchical models, neural networks, graphical models, bayesian networks?

They all seem to represent random variables by the nodes and (in)dependence via the (possibly directed) edges. I'm esp interested in a bayesian's point-of-view.
cespinoza's user avatar
  • 812
5 votes
4 answers
552 views

Are these equivalent representations of the same hierarchical Bayesian model?

If $X$ is a categorical variable, and I am interested in the posterior distributions of $\beta_1$, where $\beta_1$ is a vector of coefficients, one for each level of X, are these equivalent models? ...
David LeBauer's user avatar
4 votes
3 answers
278 views

What is a good internet based source of information on Hierarchical Modeling?

I am talking about the regression method that measures the impact of several layers of independent variables upon a dependent variable.
Sympa's user avatar
  • 7,882
7 votes
2 answers
2k views

Combining repeated experiments into one dataset

I hope you all won't mind a basic question. We are examining the effects of a compound at various concentration on the behaviour of an organism. The compound is administered once at the beginning of ...
dnagirl's user avatar
  • 397
42 votes
8 answers
26k views

Under what conditions should one use multilevel/hierarchical analysis?

Under which conditions should someone consider using multilevel/hierarchical analysis as opposed to more basic/traditional analyses (e.g., ANOVA, OLS regression, etc.)? Are there any situations in ...
Patrick's user avatar
  • 783

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