Questions tagged [design-based-inference]

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What is design-based validation and what is the difference to CV?

In Wadoux et al. 2021 I came across two modes of statistical inference, design-based and model-based. I get the difference between the two modes and I know what that means regarding a sampling scheme (...
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Meaning of design matrix in context of Bayesian B-Spline regression?

I'm learning about modeling B-Splines using PyMC3. The design matrix of splines (apparently) can become quite complicated, so it's easier to delegate this construction to an API, Patsy. In the context ...
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Ex-post grouping blocks, when analyzing blocked randomization experiment, to avoid $N_b=1$ blocks

In an experiment I conducted, randomization was stratified geographically and then blocked by the baseline outcome variable, $x$. That is, within each strata, $s$, I grouped observations into blocks, $...
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Proof that random assignment guarantees the same probability for the individual to be selected?

Consider a completely randomized design, where every unit is randomly assigned to a treatment group. Let's say we have 30 observations and 3 treatment groups. When we choose one observation at random, ...
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Multistage Survey Sample for Sock Color

Here is the setup: We want to estimate the proportion of people in a country who wear black socks versus not-black socks. We have 100 cities (primary sampling units) in the country. In each city ...
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Proper tests to examine parameter/treatment effects?

I am running simulation models on 100 plots randomly selected from a real study area. I am testing the effect of different modeled treatments that are applied uniformly across the study area. The data ...
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Are sampling designs characterized by their first and second-order inclusion probabilities?

If you have two sampling designs $p_1(\cdot)$ and $p_2(\cdot)$ (defined on the same set of samples $\mathcal{S}$ from the same population $\mathcal{U}$) such that they induced the same inclusion ...
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Study design using multinomial vs logistic regression?

Suppose that I have a categorical response variable that consists of group 1-3, and I hope to see if predictors can differentiate group 1 vs group 3 (group 2 not included). The response variable is ...
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How is the hazard ratio in Cox proportional hazard models affected by the case sampling?

I'm trying to conduct survival analysis using Cox proportional hazard models, looking at a biomarker for heart disease. Age is a major risk factor, so I'm modeling the age as the time scale (counting ...
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In survey sampling, have calibration margins to be known (estimated with 0 variance)?

Calibration estimators in survey sampling (as defined by Deville and Särndal, and implemented for example in the SAS macro "Calmar") generalize many other calibration estimators, including post-...
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