Table 6: Median number of iterations needed for Newton’s 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 2 × 2 2 × 3 2 × 4 2 × 5 3 × 3 3 × 4 3 × 5 4 × 4 4 × 5 5 × 5 0.00 2 2 2 2 2 2 2 2 2 2 (1–7) (1–6) (1–9) (1–4) (1–3) (1–4) (1–3) (2-3) (1–3) (1–3) 0.01 3 3 3 3 3 3 3 3 3 3 (2–14) (2–30) (2–95) (2–14) (2–5) (2-3) (2-3) (2-3) (2-3) (2-3) 0.05 4 4 4 4 5 4 4 4 5 5 (3–13) (1–7) (2–6) (4–6) (4–6) (4-5) (4-5) (4-5) (4-5) (4–6) 0.10 5 5 5 5 5 6 6 6 6 7 (3–29) (4–7) (5–8) (5–8) (4–6) (5–7) (5–7) (5–7) (6–8) (6–10) 0.20 7 7 7 8 8 8 9 10 11 13 (5–13) (7–12) (7–11) (7–11) (7–10) (7–11) (7–15) (8–13) (9–17) (8–21) 0.30 9 9 9 10 10 12 13 14 17 23 (3–23) (9–219) (9–128) (9–15) (9–15) (9–17) (10–22) (10–19) (12–27) (15–35) 0.40 11 11 12 13 13 16 19 21 28 39 (7–25) (6–16) (11–25) (11–23) (11–22) (12–26) (13–33) (14–47) (16–49) (20–65) 0.50 13 14 15 16.5 17 21 27 30 44 68 (4–261) (12–56) (13–28) (14–103) (13–30) (6–47) (18–53) (18–57) (23–80) (24–110) 0.60 15 16 18 21 21 28 37 42 66 113 (11–260) (15–32) (16–33) (17–66) (16–47) (18–61) (21–81) (23–98) (30–139) (41–261) 0.70 17 19 23 28 27 37 53 64 101 211 (14–737) (17–39) (19–52) (21–67) (19–43) (20–71) (26–150) (30–126) (25–195) (59–560) 0.80 20 24 28 34 34 49 75 89 170 359 (8–407) (20–40) (23–58) (25–64) (22–49) (24–140) (32–160) (38–188) (61–352) (102–1026) 0.90 24 29 34 42 43 67 107.5 128.5 255 605 (9–39) (24–46) (27–716) (29–114) (26–101) (32–116) (39–207) (58–332) (62–653) (147–2129) 1.00 28 32 42 55 53 90 145.5 172 395 1028 (16–987) (27–83) (17–101) (37–286) (31–122) (42–281) (67–349) (66–480) (99–1173) (3–3243) 1.10 32 39 52 68.5 69 116 211 275 656.5 1875.5 (29–863) (4–1983) (38–187) (48–285) (39–181) (45–383) (57–580) (68–590) (151–2370) (8–6656) 1.20 36 47 64 88 88 157.5 285 392 999 2725 (28–208) (36–94) (44–180) (51–201) (46–210) (69–579) (94–889) (129–907) (199–3120) (589–12917) 1.30 42 55 77 109.5 109 207 420.5 556 1571.5 4730 (29–1239) (33–267) (53–275) (58–265) (52–222) (69–441) (135–1104) (154–1606) (260–4833) (11–23803) 1.40 48 64 94 143.5 135.5 284 562 822.5 2249 6224 (23–2288) (45–2781) (58–262) (78–372) (63–431) (88–557) (129–1675) (187–3370) (24–7041) (3–25352) 1.50 56 75 114 177 170 369.5 827 1233 3102.5 9769 (38–92) (57–216) (74–302) (104–914) (72–624) (103–1071) (189–2641) (305–4608) (22–11773) (9–34759)