# Questions tagged [consistency]

Refers generally to a property of a statistical procedure to go to the "right" place as the sample size tends to infinity, primarily referring to estimators converging to the true parameter value as the sample sizes diverges. Use also for Fisher consistency, the property that an estimator when applied to the complete population gives the right answer.

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### Cronbach's alpha on discrete multiple-choice responses

Suppose you want to calculate the Cronbach's alpha for a test whose responses are multiple-choice, e.g. 1, 2, 3, 4. These responses are nominal and not ordinal, in they do not have any type of natural ...
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### Are the Grenander conditions on the explanatory variable to ensure OLS has consistent treatment effect estimates applicable to GLM/GLMM?

Are the Grenander conditions on the explanatory variable to ensure OLS has consistent treatment effect estimates applicable to GLM/GLMM where you have count,binary data? If you don't know what ...
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### consistency of maximum likelihood estimator

For population with n size and following density function $$f(y, a)= (1/6a^4)y^3e^{-y/a}$$ For that, I have found the maximum likelihood estimator of a which is $\hat{a}= \bar{y}/4$ I have also shon ...
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### Statistical test for questionnaire with various components

I was asked to analyze a research questionnaire that consists of a Likert scale, a checklist, and questions with yes, no, and don't know as response, as part of the pilot testing. I was struggling ...
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### Would decision tree propagate error?

Given a regression dataset $X,Y$. Suppose there are two different decision tree (CART) $T_1, T_2$ fitted from it. Each using different feature encoding method. And we get two different tree. And there ...
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### consistency of mle of double exponential distribution ( not advanced)

Let $y_i\sim DE(\mu, \sigma),$ $i=1,2,...,n, \ i.i.d.$ Where DE represents the double exponential distribution. The the MLE of \sigma is: $\hat\sigma = \frac{1}{n} \sum_{i=1}^{n}|y_i-med(y_i)|$, ...
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I have a conceptual question regarding the definition of the consistency of a Bayesian posterior. I found this definition on the web: Given the i.i.d. data $x_1,...,x_n$ and the model $f_\theta(x)$, ...