
164 Sample Size Calculations for Clustered and Longitudinal Outcomes
TABLE 5.4
Sample size and power for detecting an effect δ
(f)
on slope differences in a
random-slope model (5.4.5) with r
τ
= 0.1 when randomizations occur at the
second level (two-sided significance level α = 0.05)
λ
2
ρ ∆
(r)
N
1
N
(0)
2
Total N ϕ
(r)
1 0.1 0.4/4 5 299 2990 0.801
0.4/8 9 723 13104 0.800
0.2 0.4/4 5 283 2830 0.801
0.4/8 9 712 12816 0.800
0.1 0.5/4 5 191 1910 0.800
0.5/8 9 463 8834 0.801
0.2 0.5/4 5 181 1810 0.800
0.5/8 9 456 8208 0.800
1.5 0.1 0.4/4 5 249 3113 0.801
0.4/8 9 602 13545 0.800
0.2 0.4/4 5 236 2950 0.801
0.4/8 9 594 13365 0.801
0.1 0.5/4 5 160 2000 0.802
0.5/8 9 386 8685 0.801
0.2 ...