# 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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### 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 ...
24 views

### Leverage after Tobit Regression

In STATA, after running a TOBIT regression, I'm trying to calculate the leverage and Cook's Distance values. When I run: predict c, cooksd I get the error: 'option ...
41 views

### 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 ...
27 views

### 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 ...
14 views

### Elasticity estimates with Tobit using margins command in State 12

I am running a tobit regression to model education expenditures (zero for some households) and tried using margins, eydx(*) to obtain the elasticity estimates, but ...
37 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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### Difference-in-difference regression and random-effects Tobit model

I have a question about the difference-in-differences (DID) model. In general, we use random-effects Tobit model to fit the censored panel data (in Stata command: xttobit...). But to my knowledge, ...
39 views

### Tobit model with truncated data

I would like to examine the impact of institutional ownership on M&A deal size, as in Andriosopoulos & Yang (2015). However, I am in doubt which regression method to use for measuring 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 ...
25 views

### 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%). ...
65 views

### Difference-in-difference using tobit regression with mediation (controlling for fixed effects)

I want to conduct a mediation analysis in a difference-in-difference setting. I want to determine which element of the policy was effective. My difference-in-difference is based on a matched sample ...
116 views

### How to estimate high dimension fixed effects (HDFE) in a Tobit model?

I'm searching for a possibility to estimate a Tobit model with a high number of individual fixed effects. To be more precise, my goal is to estimate the individual determinants of the number of hours ...
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### $\ln(y)_{ij} = \beta_1 \ln(x_1)_{ij} + \beta_2 \ln(x_2)_{ij} + \epsilon$ for censored data, what would be the elasticity of $y$ w.r.t $x_1$?

Suppose we wish to estimate $$ln(y)_{ij} = \beta_1ln(x_1)_{ij} + \beta_2 ln(x_2)_{ij} + \epsilon$$ If the data was not censored, then the elasticity of $y$ w.r.t $x_1$ would be $\beta_1$. However, ...
34 views

### Hurdle model: different results for 2nd stage and truncated regression

I am trying to estimate a hurdle ('zero inflated') model using the R package mhurdle to model farmers' participation & participation intensity in environmental schemes. For understanding, I have ...
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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 ...
15 views

### 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 ...
56 views

### 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 ...
21 views

### 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 ...
414 views

### 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 ...
152 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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### How to get rid of zero standard error values, missing t-values and p-values

I was running a couple of Tobit regressions on SAS. Surprisingly, I found that estimates from one model show 0 standard errors, missing (.) t-values and p-values. Why did this happen? What does this ...
332 views

### Comparing the output and fit of an OLS and a Tobit model, and comparing Tobit models

I am trying to estimate a quite complicated model (many variables with different structures), with a limited dependent variable, which ranges from 0-100% with about 45% of the sample having an ...
231 views

### Censored Regression/Tobit: coefficients decrease drastically when non-normal distribution is assumed

I am trying to use a Tobit/ censored regression model to estimate the effect of a certain political condition on a tax. Our dependent variable is zero-inflated because in most of our observations this ...
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### My Tobit model gives all infinite standard deviations

I am trying to do a Tobit estimation (in R) because my dependent variable ranges from 0-100 with many values at a 100. ...
91 views

### standard error estimate in CRCH

[Disclosure: I previously posted this over at stackoverflow, but I think that was the wrong place as I got no response. I've since deleted that post.] I need to run a regression on censored data, and ...
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### Censored regression with right censored data

I'm kind of new to Stats and R in general and I'm looking to clear some doubts. I'm trying to use Censored regression models to do the analysis of my qPCR data. The response variable is continuous (Ct ...
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### Tobit model: Left and right censoring

In my data, my outcome variable days.to.event is conceptually left censored at 0 days and right censored at 30 days. However, since the ...
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### Tobit model with flexible censoring point in R

I am currently writing my MSc thesis and I am using a Tobit model. My data consists of fleet and sales data. The censored dependent variable is quantity and this quantity is higher than the fleet ...
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### How many parameters should I report in an AIC table for a tobit model?

I am considering using a tobit model in R to estimate velocity of a number of animals moving north across a landscape. I am working with simulated data, so when an ...
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### When and why should we use Tobit Regression model?

I am trying to find out determinants of corporate cash holdings for a panel dataset of 1696 firms over a period of 21 years. The dependent variable is the ratio of 'Cash and Cash Equivalents' to '...
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### How to model if a company is mentioned in a review (volume) and how it is mentioned (valence)?

I am working with social media data of Brand A and would like to model what features of posts of Brand A are linked to if a competitor (Brand B) is mentioned in the comments of different posts of ...
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### Fixed Effects for fractual response variable with many zero observations

I am investigating the impact of some independent variables on educational expenditure shares, which is given as the proportion of $\frac{educational\_expenditure_i}{total\_expenditures_i}$. The ...
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### validity of tobit estimates after multiple imputation

I want to estimate tobit marginal effects using multiply imputed data, however I see that tobit is not among the estimation commands supported by Stata's MI prefix - I understand that the validity of ...
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### Two intercepts for Tobit regression in R using VGAM

I'm fitting a Tobit regression left censored at 0 using the vglm function from the VGAM package. But, after fitting the model, I'm getting two intercepts? Is this a problem with the function? If not, ...
257 views

### Can I use a two-limit tobit model to drop certain outliers?

I am implementing a Tobit model, since my dependent variable (educational expenditure shares) is left-censored at 0. Below you'll find a swarmplot of the dependent variable and the explanatory ...
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### Are there problems with estimating regressions of longitudinal data by year?

I am studying the behavior of 900 firms for a period of 10 years. The data is a balanced panel. Multivariate analysis consists of Tobit estimations for each year and probit estimations for each year. ...
313 views

### Confidence intervals for the coefficients of a Tobit model

Given a linear regression model for a dependent variable that is left-censored at 0 (i.e., a Tobit model), how can I calculate confidence intervals for the coefficients? Ideally, you would provide ...
172 views

### Inverse Gamma Posterior variance derivation in Tobit model

I have a doubt about the posterior distribution of the variance parameter for the Tobit model as provided by Koop, Poierier, Tobias (2007) in "Bayesian Econometrics Methods" page 221. Posteriors for ...
702 views

### Using PROC QLIM OUTPUT to get predicted values from a two-step Tobit model

I am fitting a two-step Tobit model through PROC QLIM in SAS. The first step of the model is a probit model for whether someone "responds" (e.g. makes a donation). The second step of the model is ...
291 views

### Probability Density Function in a Tobit Model

I have been taught the following derivation of the tobit model from a latent underlying variable model: Suppose: $y*=$ latent variable (e.g. utility) $y=max[0,y*]$ And y* = \mathbf X\beta + u,\...
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### Confidence interval of the panel data model

I have a panel of $m$ individuals over $n$ periods of time. I am estimating decision making rules of people $Y=\beta_0+\beta_1X + ...+\epsilon$. I have reasons to believe that $\beta_1$ are very ...
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### goodness of fit in regression/ models include a significant number of insignificant variables

I have performed analyses using two different regression models, multi-nominal regression and Tobit regression. In the first model I measured the impact of 9 variables on choosing travel mode while ...
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### likelihood function for Tobit

I am trying to sort out the likelihood function for a two-limit Tobit model (data censored from above and below). To start off, suppose you have data censored from below at zero. The log-likelihood ...
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### Predicted probabilities - Tobit/probit - differences

For long I have been a silent reader of your forum, but now I have to ask you for your expertise, as I haven't found an answer to my question yet. Short to my back story: My aim is to calculate the ...