IBGE Analista Practice Questions - Concurso IBGE - Analista de Planejamento, Gestão e Infraestrutura Exam - IBGE Analista Practice Questions - Concurso IBGE - Analista de Planejamento, Gestão e Infraestrutura Exam

Question 1

In survey sampling theory applied to IBGE household investigations, how does the variance of the sample mean under Simple Random Sampling Without Replacement (SRSWOR) compare to that under Simple Random Sampling With Replacement (SRSWR) for a finite population of size N and sample size n?

SRSWOR variance is strictly smaller by a factor of (N - n) / (N - 1), known as the finite population correction factor. SRSWOR variance is strictly larger because removing sampled elements reduces the degrees of freedom in subsequent draws. SRSWOR and SRSWR have identical theoretical variances because the sample mean remains an unbiased estimator in both designs. SRSWOR variance is smaller by a factor of (N - n) / N, but this reduction applies only when the sampling fraction exceeds 50%.

Correct Answer:

SRSWOR variance is strictly smaller by a factor of (N - n) / (N - 1), known as the finite population correction factor.

Question 2

In stratified random sampling, Neyman optimal allocation determines the stratum sample size n_h to minimize total estimation variance for a fixed total sample size n. Which formula correctly defines the stratum sample size under Neyman allocation?

n_h = n * [ (N_h * S_h) / Σ (N_k * S_k) ] n_h = n * [ N_h / Σ N_k ] n_h = n * [ S_h^2 / Σ S_k^2 ] n_h = n * [ (N_h / S_h) / Σ (N_k / S_k) ]

Correct Answer:

n_h = n * [ (N_h * S_h) / Σ (N_k * S_k) ]

Question 3

When comparing single-stage cluster sampling to simple random sampling (SRS) of the same total number of elements, what role does the intraclass correlation coefficient (ρ) play in determining estimation precision?

A positive ρ indicates that elements within the same cluster are homogeneous, which increases the variance of cluster sampling relative to SRS. A positive ρ indicates that elements within the same cluster are heterogeneous, which reduces the variance of cluster sampling below that of SRS. A negative ρ always doubles the variance of the cluster estimator regardless of cluster size. The value of ρ affects only non-response rates but has no mathematical impact on the theoretical variance of the estimator.

Correct Answer:

A positive ρ indicates that elements within the same cluster are homogeneous, which increases the variance of cluster sampling relative to SRS.

Question 4

An IBGE sampling statistician designs a two-stage cluster survey where the average number of households sampled per primary sampling unit (census tract) is m̄ = 16. If the estimated intraclass correlation coefficient for household income is ρ = 0.05, what is the design effect (deff) of this sampling design?

1.75 1.05 2.60 0.80

Correct Answer:

1.75

Question 5

In probability sampling designs such as the PNAD Contínua Master Sample (Amostra Mestra), how is the basic design weight (peso amostral básico) of an individual sample unit defined?

As the reciprocal (inverse) of the unit's inclusion probability in the sample: w_i = 1 / π_i. As the ratio of the sample mean to the known population variance: w_i = ȳ / S^2. As the sample size divided by the total number of non-respondents in the primary stratum. As the standardized z-score of the unit's primary demographic characteristic.

Correct Answer:

As the reciprocal (inverse) of the unit's inclusion probability in the sample: w_i = 1 / π_i.

Question 1

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Prepare with the IBGE Analista Practice Questions - Concurso IBGE - Analista de Planejamento, Gestão e Infraestrutura Exam practice quiz. This question bank includes 100 questions covering ibge, brazilian, sampling, population, and demographic. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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IBGE Analista Practice Questions - Concurso IBGE - Analista de Planejamento, Gestão e Infraestrutura Exam

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IBGE Analista Practice Questions - Concurso IBGE - Analista de Planejamento, Gestão e Infraestrutura Exam

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