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Table 3 Sample size required to obtain 90% disjunctive power and 90% marginal power when analysing two outcomes, after applying a Bonferroni correction

From: Methods to adjust for multiple comparisons in the analysis and sample size calculation of randomised controlled trials with multiple primary outcomes

Standardised effect sizes for each of the 2 outcomes

Sample size required to obtain 90% DISJUNCTIVE power

Sample size required to obtain 90% MARGINAL power for each outcome

Correlation between outcomes

Outcome 1

Outcome 2

0.2

0.4

0.6

0.8

Outcome 1

Outcome 2

0.2

0.2

402

436

475

522

622

622

0.2

0.3

237

251

264

274

622

278

0.2

0.4

145

150

154

156

622

157

0.2

0.5

96

98

99

100

622

101

0.3

0.3

179

194

211

232

278

278

0.3

0.4

126

135

144

152

278

157

0.3

0.5

89

93

97

99

278

101

0.4

0.4

101

109

119

131

157

157

0.4

0.5

78

84

90

96

157

101

0.5

0.5

65

70

76

84

101

101

  1. Sample sizes provided are required per arm. A Bonferroni correction is applied for all calculations to account for the multiple comparisons