# Questions tagged [tobit-regression]

Tobit regression is used to estimate a linear regression model when the dependent variable is censored, i.e. when it is only observed over an interval of its support.

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### Which model for highly skewed data

The response variable in the dataset is highly skewed with a "ceiling effect". The errors of a fitted regression model, will thus also be skewed. I tried to fit a regression but as expected ...
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### Post-hoc analysis for Tobit model using Censreg in R

I have a blood biomarker (BHB) in my dataset with censored distribution (i.e., lower detection limit of 96). I want to use Tobit regression with the Censreg package in R. My objective is to see if ...
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### What is pseudocomplete data?

Skimming Huang et al 2019 I see references to a term "pseudocomplete-data" that I am not familiar with. It looks like they are dealing with a data censoring problem which they approach with ...
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### Mixed model with censored data in R?

My objective is to see if there is a significant difference in BHB concentration between age categories in farm animals. Farm should be a random effect in the model. The issue is that BHB ...
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### r tobit regression with random intercept [duplicate]

I apologize my knowledge in the field of statistics is limited as I am a newcomer to this area. I am trying to expand my understanding to concepts beyond simple linear regression and simple mixed ...
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### What is the difference between a Latent variable model and a Tobit model?

Wooldridge Introductory Econometrics: A Modern Approach (2018), pages 561 and 572, gives the following definitions: Latent variable model (LVM):  y^*=\beta_0+\mathbf{x} \boldsymbol{\beta}+e, y=1\...
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### How to estimate latent variable in Tobit Model

I have a Tobit model of the form: Yi* = latent variable; Yi = censored (observable) variable; Yi* = β0 + β1*Xi + ϵ where ϵ is a random variable normally distributed with mean of zero and variance of ...
131 views

### Left censored regression bounded at zero

I've been handed some data that is obviously left-censored. Many zeroes, probably due to insensitivity of the assay. However, since it is a protein level assay, it is theoretically impossible for any ...
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I am using Tobit regression approach to build a prediction model with a dependent variable censored at 0 and 1. Several R packages provide nice functions to train a Tobit model, such as censReg, vglm, ...
685 views

### Average marginal effects for censored regression (Tobit) in R

I would like to calculate average marginal effects for a Tobit regression in R. margEff.censReg can calculate marginal effects at the mean, but not average marginal ...
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### Possible censored data and Tobit regression

I want to study the impact of highways on deforestation. I am using annual data on forest cover. I define my deforestation/forest loss variable as a change in forest cover and if the change is zero or ...
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365 views

### What statistical test compare truncated distribution

I have been taking measures of two populations of mice. One population runs for 10minutes and the other can barely run for 2-3 minutes. The problem is that I have too many mice to keep testing them ...
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### Analysing a small data set with lots of zeros? Dependent variable is (semi?) continuous, one fixed (categorical) factor

I have a small data set looking at the level of a particular protein (heat shock protein 70) in individuals exposed to different thermal treatments. There are 5 different thermal treatments with 10 ...
1 vote
148 views

### Is using a tobit regression appropriate for structured missing data?

I have a data set with a significant amount of missing data and that missing data is not random. I decided to change these NA values to 999 and apply a Tobit with right censoring after a cut-off point ...
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### Zero Hidden layers + ReLu-Activation + Gradient Descent = Tobit?

when I train a neural network with zero hidden neurons and ReLu activation functions using gradient descent, can it be expected that the resulting weights are approximatly equal to those of a tobit ...
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### What type of model(s) can I use for my (definitely not linear) dependent variable?

I have dependent variable, measured with a range of 0-100% (nevertheless it takes on fairly few variables). It reflects the amount of sales reported for some purpose. The distribution looks as in the ...
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### Do I have a censored variable or not? What is the mean of my data?

I have a variable variable from a survey, which has a range from never (0) to always (100) in 10 steps (0 -100). It is obviously a discrete (ordinal) variable, but I want to try to treat is as ...
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### Wikipedia's likelihood function of tobit model

This is the likelihood of the tobit model on Wikipedia. To my understanding, the first is the normal density when y is greater than the threshold and the second is the cdf of y for everything below ...
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### Tobit Regression

I have a data set of Arsenic (As) in rice grain which is dependent of As in soil and also As in irrigation water. The permissible limit of As in rice grain is 400 ppb however in reality more than that ...
1 vote
150 views

### Manual calculation - instrumental variable with a tobit distribution in the 2nd stage, different results with robust errors

Cross Posted at Stack Exchange. I am trying to correct my standard errors, when using an ols distribution in the first stage and using a tobit distribution in the second. For some reason, I am getting ...
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### Predicted values well outside of the censored range

I am working with an endogenous independent survey variable, $x$, which has a value range from 0 - 10, where 0 is always and 10 is never. Because the question pertains to wrongdoing, the answer to the ...
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### 2SLS or IV with a tobit distribution in the first stage

I would like to use a two stage least squares approach (2SLS), where the first stage would benefit from a Tobit specification. I cross posted this on stackoverflow because there might be quite some ...
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### Is it practical to use Tobit models predictively for censored latent variables?

I'm developing a model in R estimating vehicle miles traveled (VMT) using Tobit specification, since my data include a cluster of zero VMT values. I understand that the coefficients given by a Tobit ...
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### best regression model for a percentage of function variable

I am trying to choose the best regression model for a dependent variable 'percentage of normal shoulder function'. This variable is non normal and clustered at the high end of the possible range, ie ...
1 vote
776 views

### Tobit model for continuous zero inflated data?

I would like advice on how to apply an appropriate linear model to my data. I have several continuous independent variables, and a dependant variable with continuous distance measurements. This ...
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### Asking: interpret tobit regression to estimate willingness to pay from payment card

I have a research question, that I have to evaluate the Willingness to pay data for conservation. My input data in the type of payment card : $0, <\$2, \$2-\$4, \dotsc, >\$10$. I use middle ...
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### Predictive Margins After Mixed-Effect Tobit

I'm hoping to get advice on the difference between two predictive margins outputs after running a mixed-effect tobit regression (in Stata 16.0). Here is a sample output (modified from my actual case),...
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### 2-stage selection model with censoring: Heckman selection model with second stage censoring

I am seeking to get some insights on the application of two-part Tobit-type models to a distribution with potentially selection (from 0 into +ve) and upper truncation (censoring of data at 100%). ...
1 vote
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### A workaround for using linear models (rather than Tobit) with censored data?

I have a left censored dependent variable where many of the observations have a value of zero. The data is clustered (multiple measurements over time for each person). I initially decided to use a ...
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### Estimation of censored regression model

I am refreshing my knowledge with respect to econometric modelling in general. I came across page 201 of the book 'Enjoyable Econometrics by Philip Franses' and I had some difficulties interpreting ...
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### Multiple regression for left-censored independent and dependent variables

I am interested in developing a predictive multiple regression model which predicts a concentration of one compound based on the measured concentrations of several other compounds. Both the dependent ...
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### Unbiased estimation of regression coefficients conditional on a range of the dependent variable

I am interested in the relationship between a set of explanatory variables and a particular outcome variable for values of the outcome above a certain cutoff. Can I simply regress the outcome on the ...
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### Conditional heteroscedasticity for the tobit model in Layman's terms

I have been using the crch package for modelling censored data with the tobit model. I noticed early on that the errors (by far) are not normally distributed by ...
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### Question about deriving probabilities in the Tobit model

In the Tobit model: Why do you divide by σ when deriving the probability that y = 0? Is it something to do with the assumption that ε is distributed N(0,σ^2) and not N(0,1)? If this is the case why ...
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### What is really the Scale or Sigma parameter of a tobit regression?

In this most upvoted CV answer on that topic the "scale" parameter (aka "sigma" in Stata) thrown in a tobit regression output is explained to be "the estimated standard ...
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550 views

### Hurdle model vs left censored model

When dealing with response variables that have lots and lots of zeros, is there a clear argument for when hurdle models are preferred and when left censored or tobit models are preferred?
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### Picking from Logistic vs Survival Model

I have a health data set for measuring the effectiveness of a drug. (Age, Gender(0,1), Morbidity(1,2,3), Dosage(0,1), Group (a,b), Effect (Not effective =0, effective = 1), and Time (days needed for ...
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