Questions tagged [design-based-inference]

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Confidence Interval for Hypergeometric Count Parameter (Cochran)

I'm reading through Cochran's Sampling Techniques (1977) book and I came across a result that I'm not sure if I understand. The book states: We first discuss the meaning of confidence limits in the ...
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1answer
232 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, ...
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1answer
63 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 ...
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1answer
22 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
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1answer
109 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 ...
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1answer
234 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 ...
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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 ...
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2answers
300 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-...