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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

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

    N= 50 100 150 200 250 H 1 21 50 100 150 200 250
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
β 12, β 23 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