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The Tobit Model Relies Crucially on Normality and Heteroskedasticity in the Underlying

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The Tobit model relies crucially on normality and heteroskedasticity in the underlying latent variable model.


Definitions:

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, typically in the context of parameters estimated from sample data.

Pooled-Variance T Test

A statistical test that compares the means of two independent samples while assuming that they have the same variance.

Pooled Variance

The weighted average of variances from two or more groups, assuming that these groups have the same variance.

Sampling Distribution

A sampling distribution is the probability distribution of a given statistic based on a sample, showcasing how that statistic would vary from one sample to another.

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