The log-linear model is a form of Poisson regression that allows for the analysis of multi-way contingency tables.

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Using log-linear models for presence/absence data in wildlife

I'm working on a project wherein I compare the presence/absence of a number of bird and herptile species between wetlands that have received three different treatments. The populations were surveyed ...
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18 views

modeling rates with machine learning tools (svm, gbm, nnet)

I have a numeric integer variable that is knowly proportional to an exposure measure plus other continuous / categorical covariates. If I were to use classical log-linear glms i would model ...
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1answer
26 views

Ambiguity with multinomial logit models

I have always thought that, when dealing with multinomial logistic regression, the idea was to linearly model the "logistic" functions of the probability densities of the different response categories ...
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34 views

Volume contribution decomposition in Log-log models

I am currently working on pricing analysis : the effect of competitor SKU pricing on the number of units sold of my SKU. The model was built on the log(units) sold. I want to measure the contribution ...
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2answers
475 views

Log-linear regression vs. logistic regression

Can anyone provide a clear list of differences between log-linear regression and logistic regression? I understand the former is a simple linear regression model but I am not clear on when each ...
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30 views

How to model zero-inflated continuous response using categorical predictors - preferably resulting in multiplicative parameters

I'm having trouble finding a suitable model for predicting the AVG value (revenue in cents) of a single click on a product on a large e-commerce site. (assuming a click leading directly to a purchase ...
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94 views

Log-linear or poisson model with R [closed]

I have a data.frame (myData) with 6 variables which are: ...
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13 views

Correct interpretation of coefficient when dependent variable is change in log of y and independent variable is change in x? [duplicate]

Say I have a model such that the dependent variable is the change in the log of $y$, $\Delta ln(y)$ and the independent variable is the change in $x$, $\Delta x$. Let's say the coefficient is equal ...
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74 views

Use of log-linear analysis with percentage data

Although my question sounds like I have data suitable for log-linear analysis, I may not. I have a large number of students (about 1000) of two levels who solved a test of 8 different types of ...
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1answer
141 views

Correlation between a linear and a log series

I need to identify a relationship between two variables. I have two sets of measures performed by two competing systems, and I would like to compare how close the two systems are to each other. Here ...
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55 views

Log-linear vs. logistic model notation in LEM

I am not sure whether anyone still uses LEM for categorical analyses (log-linear, logistic, latent class models etc), I hope there are old-school individuals out there :) So, I have a model, which ...
3
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78 views

Penalized methods for categorical data: combining levels in a factor

Penalized models can be used to estimate models where the number of parameters is equal to or even greater than the sample size. This situation can arise in log-linear models of large sparse tables of ...
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80 views

Log-linear analysis vs Breslow-day test

I would like to test independence of several categorical variables for a few datasets. I believe Breslow-day is possible for some of the analyses I want to do, and log-linear may be possible for all, ...
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427 views

Does every log-linear model have a perfectly equivalent logistic regression?

I am trying to fit a log-linear model to a large number of variables from survey data. There are some reasons that it might be preferable to fit logistic regressions to that data instead. Several ...
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48 views

Is there a reliable algorithm to identify a low-dimensional log-linear model that fit high-dimensional data (if one exists)?

I am working with data from a complex survey, with over 100 variables per observation. From this I will be selecting 30 to 40 variables. All variables are categorical, with number of levels ranging ...
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2answers
133 views

Which statistical model should I apply when the DV is a count variable? [duplicate]

What is best statistical model to assess effect of habitat type and year (categorical factors), and ...
2
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2answers
1k views

How to test (in Stata) whether the gender distribution of employees to jobs differs across two companies?

I have data on several companies where some are headed by a male CEO while others by a female CEO. As you can imagine, the jobs within these companies have different gender compositions. What I am ...
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0answers
75 views

Replication in multivariate logit in R

I am new to both logit models and GLMs, but I think one of those two model classes might be the correct analysis for my data set: I am interested in comparing the composition of the diet of fish ...
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4answers
308 views

Log Linear Models

Can someone please explain why do we use Log Linear Models in very lay-man terms? I come from Engineering background, and this is really turning out to be a difficult subject for me, statistics that ...
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1answer
157 views

Using interaction term for describing non-linear relationship in regression model

I have created a Rscript for illustrating my question: ...
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1answer
155 views

Why can log-linear models for binary data be trained using Poisson regression

Any arbitrary distribution of a multivariate binary variable can be represented as a log-linear model. That is, for $X = (X_1,\dots,X_d)$ a $d$ dimensional binary rv, the distribution can be written ...
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2answers
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How to analyze residuals of Poisson log-linear model?

I have bird count data and use classical poisson loglinear model, i.e. we have counts obs(i,j) - observed count for site i and ...
8
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1answer
236 views

Do zero counts need to be adjusted for a likelihood ratio test of poisson/loglinear models?

If there are 0's in the contingency table and we're fitting nested poisson/loglinear models (using R's glm function) for a likelihood ratio test, do we need to ...
3
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1answer
94 views

Using an OLS coefficient to estimate a non-linear coefficient

Using OLS, I've estimated the following equation: $y_i = \alpha_0 + \alpha_1 X_i + \epsilon_i$ I know that theoretically, the following should be true: $y_i = a + (1-e^{-\lambda 60}) X_i$ Is ...
6
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3answers
873 views

Appropriate way to deal with a 3-level contingency table

I have a three level contingency table, with count data for several species, the host plant from which they were collected and whether that collection happened on a rainy day (this actually matters!). ...
4
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592 views

Mixed effects log-linear models

There are occasions where I would like to fit log-linear models where the independence assumption between observations is violated. It is the normal case that I have multiple observations from each ...