Table 3 Estimated required number of clusters for the WFHS study with \(\pi \in \left\{\text{0.935,0.87,0.61}\right\}\), \(\tau \in \left\{\text{0.05,0.3,0.6}\right\}\), and \(\delta \in \left\{\text{0.2,0.3}\right\}\) and the methods of direct inflation (\({n}_{0}\)), the formula under MCAR (\({n}_{1}\)), and the Monte Carlo based approach under MAR (\({n}_{2}\))

\(\pi =0.935\)

\(\pi =0.87\)

\(\pi =0.61\)

\(\delta\)

\(\tau\)

\({n}_{0}\)

\({n}_{1}\)

\({n}_{2}\)

\({n}_{0}\)

\({n}_{1}\)

\({n}_{2}\)

\({n}_{0}\)

\({n}_{1}\)

\({n}_{2}\)