An adaptive cluster sample initially selects a random

Question

For Exercise 1, use the estimator based on overall intersection probabilities

Exercise 1

An adaptive cluster sample initially selects a random sample of n = 4 strips from the N = 25 in the study region. Each strip contains M = 12 secondary units. Neighborhoods are defined to include adjacent secondary units as in the example in the text. The first sample unit intersects a network that intersects m₁ = 3 strips in the population and has y₁ = 50 animals. Another network, with _y2 = 30 animals, intersects both the first and second sample strips, and intersects m² = 5 strips altogether; m₁₂ = 2 strips in the population intersect both these networks. No other animals are observed. Estimate the number of animals in the study area using draw-by-draw initial probabilities. Estimate the variance of the estimator.