# 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 ...
• 582
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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 ...
• 582
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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 ...
32 views

### 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 ...
• 291
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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 ...
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1 vote
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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 (...
• 111
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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 ...
• 3,010
71 views

1 vote
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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 ...
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 ...
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