Skip to main content

Table 3 The power comparisons based on 500 replicates. The underlying parameters are (β0, β1, β2) = (1, 1, 1), and ( σ a 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGymaedabaGaeGOmaidaaaaa@31D0@ , σ a 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGOmaidabaGaeGOmaidaaaaa@31D2@ , σ2, α) = (2, 1, 7, 0.5). The assumed s(t) is labeled as "c" for constant, "l" for s0 + s1t, and "q" for s0 + s1t + s2t2.

From: Linkage analysis of longitudinal data and design consideration

   

200 sib pairs

400 sib pairs

T

h g 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGObaAdaqhaaWcbaGaem4zaCgabaGaeGOmaidaaaaa@307B@

Assumed s(t)

Significance level

Significance level

   

0.05

0.01

0.001

0.0001

0.05

0.01

0.001

0.0001

True s(t) = 1 + 0.1t

5

0.392

c

0.77

0.56

0.26

0.09

0.97

0.84

0.62

0.36

  

l

0.90

0.78

0.45

0.24

0.99

0.95

0.86

0.74

  

q

0.86

0.64

0.39

0.19

0.99

0.95

0.84

0.67

4

0.353

c

0.68

0.42

0.16

0.04

0.89

0.72

0.44

0.23

  

l

0.75

0.52

0.23

0.07

0.95

0.87

0.65

0.47

  

q

0.66

0.42

0.18

0.04

0.93

0.81

0.59

0.38

2

0.272

c

0.43

0.20

0.04

0.01

0.63

0.40

0.19

0.06

  

l

0.34

0.16

0.04

0.00

0.59

0.37

0.13

0.04

  

q

0.20

0.06

0.02

0.00

0.42

0.23

0.07

0.02

5

0.2

*

0.77

0.54

0.2

0.06

0.97

0.83

0.60

0.34

1

0.2

**

0.33

0.13

0.03

0.01

0.60

0.35

0.06

0.00

True s(t) = 1

5

0.276

c

0.49

0.25

0.07

0.01

0.74

0.48

0.20

0.06

  

l

0.33

0.15

0.02

0.00

0.60

0.33

0.10

0.03

  

q

0.19

0.07

0.01

0.00

0.51

0.25

0.09

0.02

4

0.258

c

0.45

0.21

0.05

0.01

0.67

0.42

0.15

0.03

  

l

0.27

0.11

0.02

0.00

0.60

0.33

0.09

0.01

  

q

0.16

0.05

0.01

0.00

0.51

0.25

0.05

0.01

2

0.220

c

0.35

0.12

0.02

0.00

0.50

0.24

0.03

0.01

  

l

0.17

0.03

0.01

0.00

0.32

0.14

0.01

0.01

  

q

0.08

0.01

0.01

0.00

0.18

0.05

0.01

0.01

5

0.2

*

0.46

0.19

0.04

0.01

0.71

0.46

0.19

0.05

1

0.2

**

0.25

0.07

0.01

0.00

0.46

0.17

0.03

0.01

True s(t) = exp(t)/(1 + exp(t))

5

0.239

c

0.40

0.15

0.02

0.00

0.59

0.36

0.15

0.03

  

l

0.42

0.22

0.04

0.00

0.62

0.41

0.14

0.06

  

q

0.35

0.17

0.03

0.00

0.69

0.48

0.18

0.05

4

0.215

c

0.35

0.15

0.02

0.00

0.51

0.25

0.06

0.01

  

l

0.37

0.16

0.03

0.01

0.61

0.32

0.11

0.03

  

q

0.24

0.10

0.02

0.00

0.55

0.31

0.11

0.02

2

0.155

c

0.20

0.04

0.01

0.00

0.33

0.14

0.02

0.00

  

l

0.22

0.07

0.00

0.00

0.35

0.14

0.03

0.01

  

q

0.09

0.02

0.00

0.00

0.21

0.06

0.02

0.01

5

0.2

*

0.40

0.14

0.03

0.00

0.52

0.31

0.11

0.03

1

0.2

**

0.15

0.02

0.01

0.00

0.22

0.10

0.00

0.00

  1. *based on the average measurement; ** based on one measurement.