International Scholarly Research Notices / 2012 / Article / Tab 6 / Research Article
On Estimating the Linear-by-Linear Parameter for Ordinal Log-Linear Models: A Computational Study Table 6 Median number of iterations needed for Newtonβs unidimensional method to converge to four decimal places. In parenthesis is the range of iterations for the 200 simulated contingency tables.
Size of contingency table True
π
2 Γ 2 2 Γ 3 2 Γ 4 2 Γ 5 3 Γ 3 3 Γ 4 3 Γ 5 4 Γ 4 4 Γ 5 5 Γ 5 0.00 2 2 2 2 2 2 2 2 2 2 (1β7) (1β6) (1β9) (1β4) (1β3) (1β4) (1β3) (2-3) (1β3) (1β3) 0.01 3 3 3 3 3 3 3 3 3 3 (2β14) (2β30) (2β95) (2β14) (2β5) (2-3) (2-3) (2-3) (2-3) (2-3) 0.05 4 4 4 4 5 4 4 4 5 5 (3β13) (1β7) (2β6) (4β6) (4β6) (4-5) (4-5) (4-5) (4-5) (4β6) 0.10 5 5 5 5 5 6 6 6 6 7 (3β29) (4β7) (5β8) (5β8) (4β6) (5β7) (5β7) (5β7) (6β8) (6β10) 0.20 7 7 7 8 8 8 9 10 11 13 (5β13) (7β12) (7β11) (7β11) (7β10) (7β11) (7β15) (8β13) (9β17) (8β21) 0.30 9 9 9 10 10 12 13 14 17 23 (3β23) (9β219) (9β128) (9β15) (9β15) (9β17) (10β22) (10β19) (12β27) (15β35) 0.40 11 11 12 13 13 16 19 21 28 39 (7β25) (6β16) (11β25) (11β23) (11β22) (12β26) (13β33) (14β47) (16β49) (20β65) 0.50 13 14 15 16.5 17 21 27 30 44 68 (4β261) (12β56) (13β28) (14β103) (13β30) (6β47) (18β53) (18β57) (23β80) (24β110) 0.60 15 16 18 21 21 28 37 42 66 113 (11β260) (15β32) (16β33) (17β66) (16β47) (18β61) (21β81) (23β98) (30β139) (41β261) 0.70 17 19 23 28 27 37 53 64 101 211 (14β737) (17β39) (19β52) (21β67) (19β43) (20β71) (26β150) (30β126) (25β195) (59β560) 0.80 20 24 28 34 34 49 75 89 170 359 (8β407) (20β40) (23β58) (25β64) (22β49) (24β140) (32β160) (38β188) (61β352) (102β1026) 0.90 24 29 34 42 43 67 107.5 128.5 255 605 (9β39) (24β46) (27β716) (29β114) (26β101) (32β116) (39β207) (58β332) (62β653) (147β2129) 1.00 28 32 42 55 53 90 145.5 172 395 1028 (16β987) (27β83) (17β101) (37β286) (31β122) (42β281) (67β349) (66β480) (99β1173) (3β3243) 1.10 32 39 52 68.5 69 116 211 275 656.5 1875.5 (29β863) (4β1983) (38β187) (48β285) (39β181) (45β383) (57β580) (68β590) (151β2370) (8β6656) 1.20 36 47 64 88 88 157.5 285 392 999 2725 (28β208) (36β94) (44β180) (51β201) (46β210) (69β579) (94β889) (129β907) (199β3120) (589β12917) 1.30 42 55 77 109.5 109 207 420.5 556 1571.5 4730 (29β1239) (33β267) (53β275) (58β265) (52β222) (69β441) (135β1104) (154β1606) (260β4833) (11β23803) 1.40 48 64 94 143.5 135.5 284 562 822.5 2249 6224 (23β2288) (45β2781) (58β262) (78β372) (63β431) (88β557) (129β1675) (187β3370) (24β7041) (3β25352) 1.50 56 75 114 177 170 369.5 827 1233 3102.5 9769 (38β92) (57β216) (74β302) (104β914) (72β624) (103β1071) (189β2641) (305β4608) (22β11773) (9β34759)