Questions tagged [multilevel-analysis]

Statistical analysis of datasets comprising several levels of hierarchy (e.g., students nested in classes nested in schools or hierarchical forecasting). For questions about mixed models use [mixed-model] tag. For nested random effects, use [nested-data].

Overview

Multilevel analysis is a general term referring to statistical methods appropriate for the analysis of data sets comprising several types of unit of analysis. The levels in the multilevel analysis are another name for the different types of unit of analysis. Each level of analysis will correspond to a population, so that multilevel studies will refer to several populations...

-T.A.B. Snijders, Multilevel Analysis, p. 673-677 in M. Lewis-Beck, A.E. Bryman, and T.F. Liao (eds.), The SAGE Encyclopedia of Social Science Research Methods (Volume II). Sage, 2003.

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1878 questions
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Can I probe cross-level interactions without random slope in a hierarchical linear model?

I have a HLM model with significant variance in the level 1 intercepts across groups but no significant variance in the level 1 slopes across groups and find significant cross-level moderation effects. Does it make sense to interpret these or are…
Bento
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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 the time course. Observations are made every…
dnagirl
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Is it ok to use a random intercept model without testing for random slopes?

In university we calculated a random intercept model for two-level nested data. We compared the random intercept model with all level-1 variable with the random intercept model with all level-1 and all level-2 variables. Like this we got main…
Clara
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Constructing multilevel regression design matrix

A common formulation of multilevel/hierarchical regression models is $y = Xb + Zc + e$, where $X$ is an $n \times p$ matrix of $p$ individual level predictors, $Z$ is an $n \times q$ matrix of $q$ group level predictors, $y$ is an $n \times 1$…
bythemark
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Combining two multilevel models that are a sort of two stage model

I have a study where the same people were exposed to advertisements both with and without an "endorser" or spokesperson. There were also several different kinds of endorsers (male vs. female and so on). The response was "change in desire for a…
Peter Flom
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Using days and months as levels in hierarchy

I have two different sources for order / purchase related data, one is at individual (purchase) level, the other is aggregated daily. Both sources contain different types of data points, albeit all related to purchases. I want to use this data to…
BBSysDyn
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Sign of coefficient changes when contextual variables are added

I have an interpretation question. I am running binary multilevel models on whether or not households have bank accounts. Apart from relevant economic, social and demographical household level variables I also include two contextual variables for…
KML
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Better understanding of "within" and "between" in multilevel models

In my work I mostly use latent variable modeling, but due to a recent project, I now have to also use a multilevel model. I have a situation where latent constructs of geography knowledge (measured with 20 test items) and learning motivation…
J. Doe
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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 start by discussing the multilevel linear model. On Page…
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Subsamples of multilevel data

We have the PISA data with a multi-level structure (student - school - level). The schools were selected randomly. In this case it is well known to use multilevel methods. Considering subsamples, we can use multilevel models for level 2 subsamples…
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What to do when an omitted level-2 predictor is associated with a level-1 predictor?

Raudenbusch and Byrk (2002) write on p. 261: If an omitted level-2 predictor is associated with a level-I predictor, the coefficient for that level-1 predictor will be estimated with bias. In this case, we have $Cov(u_{qj}, X_{q'ij}) \neq 0$. This…
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Multi-Level Framework for an Evalution Design

This is my first time posting here, so please forgive me if I am not following some form of etiquette. My question is in regard to the following evaluation design: We are examining the impact of policy X. It was implemented at the same time for all…
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Comparing group means in multilevel model

I have a model with a within-subject variable (two levels) and a between-subjects variable (three levels which represent experimental groups). I create two dummy codes to account for the three levels of the between-subject variable. Here is the…
KG201
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Is a multilevel linear model right for my data set?

stats/stackexchange novice here i'm afraid. I've got a data set which I believe a multilevel linear model will suit nicely but i'm struggling with a) whether this is the right technique and b) how to approach formulating the model in R. The data…
EdH
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Multiple simultaneous multilevel analyses

Let's say I have a dataset containing students in classes in teachers. A good way to analyse the data then is to conduct 3-level-analyses. Let's further assume that most of the students in the dataset visit multiple courses and we have an ID for…
Mil
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