Questions tagged [design-based-inference]

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Double poststratification in a two-stage cluster design

Say we have a country divided in 100 municipalities. Within each municipality, the population can be categorised into 10-year age groups and the population size of each group is known. A two-stage ...
LBogaardt's user avatar
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Adjusting the sampling probability during sampling

Let $n$ individuals in a statistical population be identified by $p.id \in \{1, 2, ..., n\}$ where the order is randomised. Assume, for simplicity, that all individuals are included in the sampling ...
LBogaardt's user avatar
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Effective sample size when the estimated proportion is zero

In order to estimate the proportion of fradulent invoices, we did a two-stage probability weighted sample. A subset $m$ out of $M$ departments were chosen in the first stage, and $n_m$ invoices were ...
Robert Aue's user avatar
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Design of experiment question about 5 varieties of wheat (treatment) and 4 other factors

Mr. X wants to compare 5 different varieties of wheat. He has access to a piece of land which has been divided into 25 smaller plots as shown in the figure below. Mr. X has asked for your help in his ...
Tapi's user avatar
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2 votes
0 answers
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Flip test and control group in causal inference to get sufficient sample sizes for synthetic control

There was supposed to be a buy-one-get-one (BOGO) promotion for sneakers at 5,000 stores. Unfortunately, a glitch happened, and 100 of the stores did NOT get the memo about the BOGO promotion, so they ...
Iterator516's user avatar
1 vote
0 answers
25 views

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 (...
Corbjn's user avatar
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2 votes
1 answer
992 views

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 ...
jbuddy_13's user avatar
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2 votes
0 answers
71 views

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, $...
LucasMation's user avatar
4 votes
1 answer
577 views

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, ...
Nip's user avatar
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3 votes
1 answer
85 views

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 ...
Thomas's user avatar
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1 answer
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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 ...
Questioning Penguin's user avatar
2 votes
1 answer
253 views

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 ...
Javier Santibáñez's user avatar
1 vote
1 answer
284 views

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 ...
dataminer's user avatar
3 votes
0 answers
82 views

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 ...
purple51's user avatar
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3 votes
2 answers
409 views

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-...
Antoine R's user avatar
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