Questions tagged [design-based-inference]

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3
votes
1answer
133 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, ...
2
votes
1answer
58 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 ...
0
votes
1answer
21 views

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 ...
2
votes
1answer
86 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 ...
1
vote
1answer
211 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 ...
3
votes
0answers
70 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 ...
1
vote
2answers
282 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-...