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Table 3 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

 

50

100

150

200

250

β 12

OR

DD

a.

d.

.00

1

.00

 

.34

.57

.74

.85

.92

 

.21

.30

.43

.54

.63

.69

2

.50

 

.10

.12

.16

.19

.21

 

.10

.10

.10

.11

.13

1.10

3

.67

 

.07

.06

.06

.05

.05

 

.09

.10

.07

.06

.06

1.39

4

.75

 

.08

.08

.10

.11

.12

 

.11

.13

.11

.10

.10

1.61

5

.80

 

.11

.14

.17

.21

.26

 

.14

.17

.16

.16

.18

1.79

6

.83

 

.15

.20

.27

.35

.42

 

.15

.21

.21

.23

.25

1.95

7

.86

 

.18

.27

.38

.46

.55

 

.17

.25

.26

.29

.33

2.08

8

.87

 

.22

.34

.45

.56

.67

 

.18

.29

.31

.34

.40

2.20

9

.88

 

.24

.39

.54

.66

.76

 

.20

.30

.35

.40

.48

2.30

10

.90

 

.28

.43

.60

.73

.82

 

.21

.35

.40

.44

.52

2.48

12

.92

 

.33

.53

.70

.83

.89

 

.23

.39

.45

.52

.61

2.64

14

.93

 

.38

.61

.78

.89

.95

 

.26

.43

.52

.58

.67

2.77

16

.94

 

.42

.67

.83

.92

.97

 

.26

.47

.56

.63

.73

β 12, β 23

OR

DD

b.

e.

.00

1

.00

 

.73

.95

.99

1

1

 

.59

.84

.96

.99

1

.69

2

.50

 

.14

.21

.28

.35

.42

 

.13

.17

.24

.29

.37

1.10

3

.67

 

.06

.06

.05

.05

.05

 

.09

.07

.06

.06

.06

1.39

4

.75

 

.09

.10

.13

.15

.18

 

.12

.13

.14

.15

.17

1.61

5

.80

 

.13

.19

.26

.33

.39

 

.17

.20

.26

.31

.36

1.79

6

.83

 

.19

.29

.40

.50

.59

 

.21

.27

.36

.43

.51

1.95

7

.86

 

.22

.37

.51

.64

.74

 

.26

.34

.46

.55

.66

2.08

8

.87

 

.27

.47

.62

.74

.82

 

.28

.39

.54

.64

.74

2.20

9

.88

 

.32

.53

.69

.81

.89

 

.32

.45

.61

.71

.81

2.30

10

.90

 

.35

.57

.76

.87

.92

 

.35

.49

.66

.77

.85

2.48

12

.92

 

.41

.67

.84

.92

.97

 

.40

.56

.74

.84

.92

2.64

14

.93

 

.46

.74

.89

.96

.99

 

.44

.61

.79

.88

.95

2.77

16

.94

 

.50

.79

.93

.97

.99

 

.46

.66

.84

.92

.97

β 12, β 45

OR

DD

c.

f.

.00

1

.00

 

.37

.64

.80

.90

.95

 

.18

.32

.45

.57

.67

.69

2

.50

 

.10

.13

.17

.21

.25

 

.09

.10

.11

.13

.15

1.10

3

.67

 

.06

.06

.05

.05

.05

 

.08

.06

.06

.05

.05

1.39

4

.75

 

.08

.08

.10

.12

.14

 

.09

.09

.09

.09

.10

1.61

5

.80

 

.11

.16

.21

.27

.31

 

.12

.13

.16

.18

.22

1.79

6

.83

 

.15

.24

.33

.42

.49

 

.15

.19

.24

.30

.35

1.95

7

.86

 

.20

.32

.44

.55

.66

 

.18

.25

.32

.41

.47

2.08

8

.87

 

.25

.41

.55

.67

.77

 

.21

.30

.40

.50

.59

2.20

9

.88

 

.28

.47

.63

.76

.84

 

.23

.35

.47

.58

.67

2.30

10

.90

 

.32

.53

.71

.82

.90

 

.27

.40

.53

.65

.74

2.48

12

.92

 

.38

.64

.81

.90

.95

 

.32

.18

.64

.76

.84

2.64

14

.93

 

.45

.71

.87

.95

.98

 

.37

.56

.73

.84

.90

2.77

16

.94

 

.49

.77

.91

.97

.99

 

.40

.61

.78

.89

.94