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Table 1 Estimated numbers of required subjects for 2, 3, 4 and 5 observations with ICC = 0.1

From: Sample size determination for mediation analysis of longitudinal data

Observations

 

2

3

4

5

Effect sizea

Sobel

Product

Bootstrap

Sobel

Product

Bootstrap

Sobel

Product

Bootstrap

Sobel

Product

Bootstrap

SS

365

299

304

257

215

215

207

163

169

169

136

142

SH

272

235

237

194

172

180

151

140

150

133

126

131

SM

248

226

230

188

188

200

146

144

145

132

126

130

SL

238

248

251

176

176

176

148

147

149

124

126

128

HS

238

201

209

161

138

143

123

104

108

99

83

85

HH

109

88

94

78

65

69

61

50

57

51

42

40

HM

87

77

99

58

55

57

49

42

52

42

40

40

HL

74

72

73

57

51

25

47

46

20

40

38

39

MS

215

200

209

138

134

140

110

102

105

86

83

85

MH

79

65

69

54

46

46

42

35

36

35

29

31

MM

51

41

44

38

30

33

29

23

28

24

21

23

ML

40

36

38

29

27

28

24

22

25

20

18

20

LS

204

206

204

139

132

140

105

101

103

83

82

82

LH

65

60

69

44

41

40

34

31

32

28

24

24

LM

36

31

33

25

22

24

19

17

18

17

15

15

LL

24

20

22

17

16

15

14

13

12

12

11

11

  1. aEffect size: The first letter is the size of β a , the second letter is the size of β b ; S is small (0.14), M is medium (0.39), L is large (0.59) and H is halfway (0.26) between large and medium effect sizes