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Table 1 Variance function values for selected distributions and links ([22])

From: Power and sample size calculation for stepped-wedge designs with discrete outcomes

 

ϕ

a

v(μ)

g(μ)

g(μ)

Normal

σ2

1

1

μ

1

Bernoulli

1

1

μ(1−μ)

\(log(\frac {\mu }{1-\mu })\)

\(\frac {1}{\mu (1-\mu)}\)

Poisson

1

\(\frac {1}{m_{i}}\)

μ

log(μ)

\(\frac {1}{\mu }\)

Binomial

1

\(\frac {1}{m_{i}}\)

μ(1−μ)

\(log(\frac {\mu }{1-\mu })\)

\(\frac {1}{\mu (1-\mu)}\)

  1. *The \(\frac {1}{m_{i}}\) indicates that the ith count is based on mi intervals or units; typically, mi=1.