Table 5 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

β ₁₂

OR

DD

a.

d.

.00

1

.00

.40

.66

.82

.92

.97

.21

.31

.43

.50

.65

.69

2

.50

.16

.22

.31

.35

.45

.11

.12

.16

.18

.24

1.10

3

.67

.07

.09

.08

.12

.12

.09

.08

.07

.08

.08

1.39

4

.75

.06

.05

.05

.04

.06

.08

.07

.07

.06

.05

1.61

5

.80

.08

.06

.06

.08

.08

.08

.08

.08

.07

.06

1.79

6

.83

.09

.10

.12

.14

.16

.07

.09

.10

.10

.11

1.95

7

.86

.11

.11

.17

.22

.25

.12

.12

.12

.13

.15

2.08

8

.87

.13

.17

.24

.31

.36

.11

.14

.15

.18

.23

2.20

9

.88

.15

.21

.30

.37

.45

.13

.17

.20

.23

.27

2.30

10

.90

.18

.24

.34

.43

.52

.14

.19

.25

.24

.30

2.48

12

.92

.21

.35

.45

.58

.67

.19

.21

.31

.32

.40

2.64

14

.93

.24

.38

.53

.66

.77

.19

.26

.33

.42

.49

2.77

16

.94

.29

.46

.61

.76

.84

.20

.28

.39

.45

.55

OR

DD

b.

e.

.00

1

.00

.85

.99

1

1

1

.71

.92

.99

1

1

.69

2

.50

.23

.43

.60

.67

.76

.22

.34

.50

.61

.72

1.10

3

.67

.09

.12

.13

.15

.18

.11

.10

.11

.11

.15

1.39

4

.75

.05

.05

.05

.06

.05

.07

.06

.08

.06

.05

1.61

5

.80

.07

.08

.11

.10

.10

.11

.08

.10

.10

.11

1.79

6

.83

.11

.11

.15

.21

.22

.16

.13

.17

.17

.20

1.95

7

.86

.14

.18

.25

.28

.35

.16

.19

.21

.29

.30

2.08

8

.87

.14

.22

.31

.40

.45

.18

.23

.27

.30

.42

2.20

9

.88

.17

.29

.41

.50

.57

.23

.26

.36

.39

.49

2.30

10

.90

.23

.33

.49

.56

.69

.23

.30

.40

.46

.53

2.48

12

.92

.25

.41

.59

.73

.81

.28

.33

.49

.57

.67

2.64

14

.93

.29

.51

.67

.79

.86

.32

.42

.55

.65

.76

2.77

16

.94

.30

.56

.75

.86

.92

.35

.47

.60

.71

.81

β ₁₂, β ₄₅

OR

DD

c.

f.

.00

1

.00

.45

.77

.90

.97

.99

.26

.47

.60

.71

.82

.69

2

.50

.14

.26

.36

.44

.50

.11

.15

.21

.25

.32

1.10

3

.67

.08

.09

.10

.13

.12

.08

.09

.08

.09

.10

1.39

4

.75

.05

.06

.05

.05

.06

.08

.06

.06

.06

.06

1.61

5

.80

.06

.07

.08

.07

.09

.10

.08

.09

.08

.07

1.79

6

.83

.08

.12

.14

.16

.21

.12

.11

.12

.14

.14

1.95

7

.86

.12

.15

.20

.24

.33

.14

.14

.17

.19

.23

2.08

8

.87

.13

.22

.28

.38

.44

.14

.17

.22

.28

.33

2.20

9

.88

.20

.25

.36

.47

.56

.17

.20

.27

.35

.41

2.30

10

.90

.20

.31

.46

.55

.66

.17

.22

.33

.41

.49

2.48

12

.92

.26

.38

.54

.67

.80

.23

.31

.43

.50

.60

2.64

14

.93

.28

.50

.64

.77

.87

.26

.42

.51

.63

.73

2.77

16

.94

.35

.55

.75

.87

.90

.29

.45

.61

.70

.79