amostragem_ajustar_deff_resposta: Adjust a sample size for design effect and expected response...

In sampleone: Survey Sampling Methods for Teaching and Practice

Adjust a sample size for design effect and expected response rate

Description

Inflates a base sample size (computed under a simple-random-sampling assumption) by a design effect (deff, accounting for the extra variability introduced by a more complex design such as clustering or multi-stage sampling) and by an expected response rate, following Eq. (6.6) of the course notes (Espinosa et al., 2019).

Usage

amostragem_ajustar_deff_resposta(n_prime, deff = 1.5, taxa_resposta = 0.85)

Arguments

n_prime	Base sample size (e.g. from aas_tamanho_media(), aas_tamanho_proporcao(), estr_tamanho_media(), or cong1_tamanho_media()), ignoring the design effect and non-response.
deff	Design effect (⁠>= 1⁠), default 1.5 as commonly assumed in the absence of better information. deff = 1 means no loss of efficiency relative to simple random sampling.
taxa_resposta	Expected response rate, default 0.85.

Details

Although this formula is first introduced in the course notes' cluster sampling chapter, it is a general-purpose adjustment: it only needs a base sample size, a design effect, and a response rate – nothing specific to clusters. Course exercises apply it to plain AAS and stratified problems just as often as to cluster problems (e.g. to scale up a prevalence-survey sample size for an anticipated design effect and non-response), so it is exposed here as a cross-cutting utility rather than tucked away under the cong1_ prefix. cong1_ajustar_deff() remains available as an alias, for continuity with the cluster-sampling chapter and its documentation.

Value

A sampling_result object with the adjusted sample size.

References

Espinosa et al. (2019), as cited in the course notes, Eq. (6.6).

Examples

# Cap. 3 (AAS) + deff + resposta -- ex.: planejamento de prevalencia
n_prime <- aas_tamanho_proporcao(p = 0.20, d = 0.05)$estimativa$n
amostragem_ajustar_deff_resposta(n_prime, deff = 1.2, taxa_resposta = 0.85)

sampleone documentation built on Oct. 13, 2026, 5:07 p.m.