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Table 4 Power estimates of tests in a 5 × 5 table, as a function of N, with three different alternative hypotheseses , with homogeneous (left column) and heterogeneous (right column) marginal theoretical distributions described by . Estimates greater than 80% are in bold

From: Power estimation of tests in log-linear non-uniform association models for ordinal agreement

   

N=

50

100

150

200

250

H 1 11

50

100

150

200

250

β 12

OR

DD

a.

d.

.00

1

.00

 

.22

.38

.51

.59

.72

 

.14

.16

.21

.26

.32

.69

2

.50

 

.06

.05

.05

.05

.06

 

.07

.07

.07

.06

.06

1.10

3

.67

 

.11

.13

.17

.22

.26

 

.10

.10

.10

.10

.14

1.39

4

.75

 

.16

.25

.41

.48

.57

 

.13

.15

.21

.25

.28

1.61

5

.80

 

.26

.41

.56

.67

.79

 

.17

.22

.29

.36

.43

1.79

6

.83

 

.33

.52

.70

.82

.88

 

.22

.30

.39

.47

.55

1.95

7

.86

 

.38

.63

.78

.92

.94

 

.25

.34

.46

.57

.66

2.08

8

.87

 

.43

.72

.85

.94

.98

 

.30

.41

.56

.62

.74

2.20

9

.88

 

.47

.76

.90

.97

.99

 

.34

.43

.58

.70

.78

2.30

10

.90

 

.52

.79

.94

.98

.99

 

.38

.51

.67

.74

.86

2.48

12

.92

 

.58

.85

.96

.99

1

 

.39

.55

.71

.81

.91

2.64

14

.93

 

.64

.90

.97

1

1

 

.41

.58

.78

.86

.93

2.77

16

.94

 

.69

.95

.99

1

1

 

.46

.62

.84

.88

.97

β 12, β 23

OR

DD

b.

e.

.00

1

.00

 

.43

.74

.87

.96

.97

 

.34

.52

.73

.86

.92

.69

2

.50

 

.06

.06

.05

.05

.06

 

.08

.07

.06

.06

.05

1.10

3

.67

 

.12

.20

.28

.37

.44

 

.16

.19

.28

.35

.40

1.39

4

.75

 

.24

.41

.57

.66

.78

 

.28

.41

.54

.62

.74

1.61

5

.80

 

.34

.57

.78

.86

.93

 

.36

.52

.71

.81

.89

1.79

6

.83

 

.42

.69

.86

.95

.97

 

.40

.62

.81

.89

.94

1.95

7

.86

 

.51

.78

.90

.97

.98

 

.48

.71

.89

.94

.98

2.08

8

.87

 

.53

.85

.95

.98

1

 

.54

.76

.93

.96

.99

2.20

9

.88

 

.62

.88

.97

1

1

 

.55

.80

.94

.97

.99

2.30

10

.90

 

.64

.90

.97

1

1

 

.57

.85

.96

.98

1

2.48

12

.92

 

.69

.93

.99

1

1

 

.65

.86

.98

.99

1

2.64

14

.93

 

.73

.96

.99

1

1

 

.67

.87

.97

1

1

2.77

16

.94

 

.77

.98

.99

1

1

 

.71

.93

.99

1

1

β 12, β 45

OR

DD

c.

f.

.00

1

.00

 

.20

.37

.52

.63

.74

 

.10

.16

.27

.32

.37

.69

2

.50

 

.07

.05

.05

.05

.04

 

.06

.07

.05

.05

.05

1.10

3

.67

 

.11

.12

.16

.23

.26

 

.10

.10

.13

.14

.18

1.39

4

.75

 

.19

.32

.44

.52

.61

 

.15

.21

.28

.34

.38

1.61

5

.80

 

.26

.46

.62

.74

.82

 

.21

.32

.42

.52

.60

1.79

6

.83

 

.35

.58

.75

.88

.94

 

.25

.42

.54

.71

.77

1.95

7

.86

 

.45

.68

.85

.93

.97

 

.31

.49

.65

.79

.84

2.08

8

.87

 

.44

.74

.92

.96

1

 

.36

.55

.73

.86

.91

2.20

9

.88

 

.55

.84

.94

.98

.99

 

.41

.61

.78

.89

.94

2.30

10

.90

 

.58

.87

.96

.99

1

 

.47

.67

.85

.92

.96

2.48

12

.92

 

.66

.91

.99

.99

1

 

.52

.77

.91

.97

.98

2.64

14

.93

 

.70

.94

.98

1

1

 

.53

.82

.93

.98

1

2.77

16

.94

 

.74

.95

.99

1

1

 

.58

.85

.96

.98

1