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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