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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