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šŸ˜ļøIn a village with 5 wards, you are to select 2 wards and then 10 households from each. What sampling design is this?

šŸ˜ļøIn a village with 5 wards, you are to select 2 wards and then 10 households from each. What sampling design is this?

Answer: This is a Two-Stage Sampling DesignĀ (a specific form of Multistage Sampling).

Explanation:

  • Stage 1 (Primary Stage): Select 2 wards out of 5 using Simple Random Sampling Without Replacement (SRSWOR). Each ward acts as a Primary Sampling Unit (PSU).

  • Stage 2 (Secondary Stage): Within each selected ward, list all households and select 10 householdsĀ by Simple Random Sampling. These are Secondary Sampling Units (SSUs).

Estimator for Overall Mean


Advantages:

  • Feasible when complete household list of the entire village is unavailable.

  • Reduces cost and fieldwork.

  • Allows analysis at both ward and household levels.


Cross-Question: šŸ‘‰ Why not sample all 5 wards?

→ Because of budget/time constraints. Two well-chosen wards can still provide reliable estimates if design weights are used properly.

ISS Example:In NSS rural employment surveys, villages are divided into blocks (like wards), and households are sampled in multiple stages exactly like this.

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\(E[X]=\mu\) \[\hat{\mu}=\frac{\sum_{i=1}^n x_i}{n}\]

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