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Table 1 Coverage of selected gamma CIs for county-level age-adjusted mortality rates, by race and Hispanic origin. Coverage of the Anderson–Rosenberg, Tiwari, Fay–Kim, and Fay–Feuer gamma CIs is based on 10,000 replications for 3147 county-level age-adjusted mortality rates R = ∑(wi/Pi) Di by overall numerator size (D = ∑Di < 10 vs. D = 10–19, D = 20–99, or D ≥ 100), coefficient of variation (CV) of the weights ui = wi/pi (CV > 0.5 vs. CV ≤ 0.5), and race and Hispanic origin for four causes of death, using 1999–2019 aggregate data. Causes of death include: all causes; external causes of morbidity and mortality (ICD-10 codes: V01–Y89); congenital malformations, deformations, and chromosomal anomalies (Q00–Q99); and Alzheimer disease and other degenerative diseases of the nervous system, not elsewhere classified (G30–G31)

From: Evaluation of four gamma-based methods for calculating confidence intervals for age-adjusted mortality rates when data are sparse

  

Counties with D < 10

Counties with D = 10–19

Counties with D = 20–99

Counties with D ≥ 100

  

(percent of total, n = 3147 counties)

CV ≤ 0.5 and nominal coverage achieved

(% of total with CV ≤ 0.5)

CV > 0.5 and nominal coverage achieved

(% of total with CV > 0.5)

CV ≤ 0.5 and nominal coverage achieved

(% of total with CV ≤ 0.5)

CV > 0.5 and nominal coverage achieved

(% of total with CV > 0.5)

CV ≤ 0.5 and nominal coverage achieved

(% of total with CV ≤ 0.5)

CV > 0.5 and nominal coverage achieved

(% of total with CV > 0.5)

Anderson–Rosenberg CI

All-causes

American Indian or Alaska Native, Not Hispanic or Latino

1697 (53.9%)

243/247 (98.4%)

100/147 (68.0%)

380/380 (100%)

180/217 (82.9%)

282/282 (100%)

177/177 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

1673 (53.2%)

205/205 (100%)

171/236 (72.5%)

259/259 (100%)

288/302 (95.4%)

259/259 (100%)

213/213 (100%)

 

Black or African American, Not Hispanic or Latino

823 (26.2%)

63/63 (100%)

132/207 (63.8%)

254/254 (100%)

239/260 (91.9%)

1298/1303 (99.6%)

237/237 (100%)

 

Hispanic or Latino

599 (19.0%)

162/162 (100%)

345/443 (77.9%)

173/173 (100%)

716/741 (96.6%)

258/259 (99.6%)

770/770 (100%)

 

White, Not Hispanic or Latino

1 (0.0%)

1/1 (100%)

0/2 (0.0%)

19/19 (100%)

5/8 (62.5%)

3020/3027 (99.8%)

89/89 (100%)

G30–G31

American Indian or Alaska Native, Not Hispanic or Latino

3026 (96.2%)

54/54 (100%)

25/25 (100%)

29/29 (100%)

11/11 (100%)

1/1 (100%)

1/1 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2917 (92.7%)

52/52 (100%)

41/41 (100%)

67/67 (100%)

34/34 (100%)

34/34 (100%)

2/2 (100%)

 

Black or African American, Not Hispanic or Latino

2084 (66.2%)

226/226 (100%)

37/37 (100%)

503/503 (100%)

49/49 (100%)

228/228 (100%)

20/20 (100%)

 

Hispanic or Latino

2611 (83.0%)

52/52 (100%)

156/156 (100%)

72/72 (100%)

138/138 (100%)

52/52 (100%)

66/66 (100%)

 

White, Not Hispanic or Latino

123 (3.9%)

108/108 (100%)

6/6 (100%)

795/795 (100%)

32/32 (100%)

2053/2053 (100%)

30/30 (100%)

Q00–Q99

American Indian or Alaska Native, Not Hispanic or Latino

3099 (98.5%)

16/16 (100%)

10/14 (71.4%)

10/10 (100%)

6/8 (75.0%)

0/0 (–)

0/0 (–)

 

Asian or Pacific Islander, Not Hispanic or Latino

3018 (95.9%)

44/44 (100%)

25/28 (89.3%)

31/31 (100%)

15/15 (100%)

11/11 (100%)

0/0 (–)

 

Black or African American, Not Hispanic or Latino

2597 (82.5%)

196/196 (100%)

28/37 (75.7%)

212/212 (100%)

30/35 (85.7%)

64/64 (100%)

6/6 (100%)

 

Hispanic or Latino

2720 (86.4%)

40/41 (97.6%)

101/139 (72.7%)

40/40 (100%)

105/145 (72.4%)

23/23 (100%)

36/39 (92.3%)

 

White, Not Hispanic or Latino

1047 (33.3%)

717/717 (100%)

12/12 (100%)

1060/1060 (100%)

11/11 (100%)

292/292 (100%)

8/8 (100%)

V01–Y89

American Indian or Alaska Native, Not Hispanic or Latino

2594 (82.4%)

115/115 (100%)

45/66 (68.2%)

156/156 (100%)

86/97 (88.7%)

58/58 (100%)

60/61 (98.4%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2593 (82.4%)

88/88 (100%)

86/124 (69.4%)

98/98 (100%)

102/115 (88.7%)

96/96 (100%)

33/33 (100%)

 

Black or African American, Not Hispanic or Latino

1615 (51.3%)

162/163 (99.4%)

53/86 (61.6%)

511/511 (100%)

87/114 (76.3%)

580/581 (99.8%)

76/77 (98.7%)

 

Hispanic or Latino

1657 (52.7%)

71/71 (100%)

251/375 (66.9%)

103/103 (100%)

383/533 (71.9%)

120/120 (100%)

280/288 (97.2%)

 

White, Not Hispanic or Latino

22 (0.7%)

41/41 (100%)

5/11 (45.5%)

376/376 (100%)

31/35 (88.6%)

2610/2614 (99.8%)

48/48 (100%)

Tiwari CI

All-causes

American Indian or Alaska Native, Not Hispanic or Latino

1697 (53.9%)

247/247 (100%)

111/147 (75.5%)

380/380 (100%)

180/217 (82.9%)

282/282 (100%)

176/177 (99.4%)

 

Asian or Pacific Islander, Not Hispanic or Latino

1673 (53.2%)

205/205 (100%)

178/236 (75.4%)

259/259 (100%)

285/302 (94.4%)

259/259 (100%)

213/213 (100%)

 

Black or African American, Not Hispanic or Latino

823 (26.2%)

63/63 (100%)

155/207 (74.9%)

254/254 (100%)

234/260 (90.0%)

1296/1303 (99.5%)

237/237 (100%)

 

Hispanic or Latino

599 (19.0%)

162/162 (100%)

358/443 (80.8%)

173/173 (100%)

703/741 (94.9%)

258/259 (99.6%)

770/770 (100%)

 

White, Not Hispanic or Latino

1 (0.0%)

1/1 (100%)

0/2 (0.0%)

19/19 (100%)

5/8 (62.5%)

3021/3027 (99.8%)

89/89 (100%)

G30–G31

American Indian or Alaska Native, Not Hispanic or Latino

3026 (96.2%)

54/54 (100%)

24/25 (96.0%)

29/29 (100%)

11/11 (100%)

1/1 (100%)

1/1 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2917 (92.7%)

52/52 (100%)

40/41 (97.6%)

67/67 (100%)

34/34 (100%)

34/34 (100%)

2/2 (100%)

 

Black or African American, Not Hispanic or Latino

2084 (66.2%)

226/226 (100%)

37/37 (100%)

503/503 (100%)

49/49 (100%)

228/228 (100%)

20/20 (100%)

 

Hispanic or Latino

2611 (83.0%)

52/52 (100%)

153/156 (98.1%)

72/72 (100%)

138/138 (100%)

52/52 (100%)

66/66 (100%)

 

White, Not Hispanic or Latino

123 (3.9%)

108/108 (100%)

6/6 (100%)

795/795 (100%)

32/32 (100%)

2053/2053 (100%)

30/30 (100%)

Q00–Q99

American Indian or Alaska Native, Not Hispanic or Latino

3099 (98.5%)

16/16 (100%)

12/14 (85.7%)

10/10 (100%)

7/8 (87.5%)

0/0 (–)

0/0 (–)

 

Asian or Pacific Islander, Not Hispanic or Latino

3018 (95.9%)

44/44 (100%)

28/28 (100%)

31/31 (100%)

15/15 (100%)

11/11 (100%)

0/0 (–)

 

Black or African American, Not Hispanic or Latino

2597 (82.5%)

196/196 (100%)

36/37 (97.3%)

212/212 (100%)

35/35 (100%)

64/64 (100%)

6/6 (100%)

 

Hispanic or Latino

2720 (86.4%)

41/41 (100%)

134/139 (96.4%)

40/40 (100%)

140/145 (96.6%)

23/23 (100%)

39/39 (100%)

 

White, Not Hispanic or Latino

1047 (33.3%)

717/717 (100%)

12/12 (100%)

1060/1060 (100%)

11/11 (100%)

292/292 (100%)

8/8 (100%)

V01–Y89

American Indian or Alaska Native, Not Hispanic or Latino

2594 (82.4%)

115/115 (100%)

61/66 (92.4%)

156/156 (100%)

94/97 (96.9%)

58/58 (100%)

60/61 (98.4%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2593 (82.4%)

88/88 (100%)

113/124 (91.1%)

98/98 (100%)

110/115 (95.7%)

96/96 (100%)

33/33 (100%)

 

Black or African American, Not Hispanic or Latino

1615 (51.3%)

163/163 (100%)

79/86 (91.9%)

511/511 (100%)

106/114 (93.0%)

580/581 (99.8%)

77/77 (100%)

 

Hispanic or Latino

1657 (52.7%)

71/71 (100%)

359/375 (95.7%)

103/103 (100%)

505/533 (94.7%)

120/120 (100%)

286/288 (99.3%)

 

White, Not Hispanic or Latino

22 (0.7%)

41/41 (100%)

11/11 (100%)

376/376 (100%)

32/35 (91.4%)

2610/2614 (99.8%)

48/48 (100%)

Fay–Kim CI

All-causes

American Indian or Alaska Native, Not Hispanic or Latino

1697 (53.9%)

247/247 (100%)

147/147 (100%)

380/380 (100%)

217/217 (100%)

281/282 (99.6%)

177/177 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

1673 (53.2%)

205/205 (100%)

236/236 (100%)

258/259 (99.6%)

302/302 (100%)

256/259 (98.8%)

213/213 (100%)

 

Black or African American, Not Hispanic or Latino

823 (26.2%)

63/63 (100%)

207/207 (100%)

254/254 (100%)

260/260 (100%)

1289/1303 (98.9%)

237/237 (100%)

 

Hispanic or Latino

599 (19.0%)

162/162 (100%)

443/443 (100%)

173/173 (100%)

741/741 (100%)

257/259 (99.2%)

768/770 (99.7%)

 

White, Not Hispanic or Latino

1 (0.0%)

1/1 (100%)

2/2 (100%)

19/19 (100%)

8/8 (100%)

3004/3027 (99.2%)

88/89 (98.9%)

G30–G31

American Indian or Alaska Native, Not Hispanic or Latino

3026 (96.2%)

53/54 (98.1%)

25/25 (100%)

29/29 (100%)

11/11 (100%)

1/1 (100%)

1/1 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2917 (92.7%)

52/52 (100%)

41/41 (100%)

67/67 (100%)

34/34 (100%)

33/34 (97.1%)

2/2 (100%)

 

Black or African American, Not Hispanic or Latino

2084 (66.2%)

226/226 (100%)

37/37 (100%)

501/503 (99.6%)

49/49 (100%)

228/228 (100%)

20/20 (100%)

 

Hispanic or Latino

2611 (83.0%)

46/52 (88.5%)

153/156 (98.1%)

71/72 (98.6%)

138/138 (100%)

52/52 (100%)

65/66 (98.5%)

 

White, Not Hispanic or Latino

123 (3.9%)

108/108 (100%)

6/6 (100%)

794/795 (99.9%)

32/32 (100%)

2046/2053 (99.7%)

30/30 (100%)

Q00–Q99

American Indian or Alaska Native, Not Hispanic or Latino

3099 (98.5%)

16/16 (100%)

14/14 (100%)

10/10 (100%)

8/8 (100%)

0/0 (–)

0/0 (–)

 

Asian or Pacific Islander, Not Hispanic or Latino

3018 (95.9%)

44/44 (100%)

28/28 (100%)

31/31 (100%)

15/15 (100%)

11/11 (100%)

0/0 (–)

 

Black or African American, Not Hispanic or Latino

2597 (82.5%)

194/196 (99.0%)

37/37 (100%)

212/212 (100%)

35/35 (100%)

64/64 (100%)

6/6 (100%)

 

Hispanic or Latino

2720 (86.4%)

41/41 (100%)

139/139 (100%)

40/40 (100%)

145/145 (100%)

23/23 (100%)

39/39 (100%)

 

White, Not Hispanic or Latino

1047 (33.3%)

676/717 (94.3%)

12/12 (100%)

1059/1060 (99.9%)

11/11 (100%)

289/292 (99.0%)

8/8 (100%)

V01–Y89

American Indian or Alaska Native, Not Hispanic or Latino

2594 (82.4%)

115/115 (100%)

66/66 (100%)

156/156 (100%)

97/97 (100%)

57/58 (98.3%)

61/61 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2593 (82.4%)

88/88 (100%)

124/124 (100%)

98/98 (100%)

115/115 (100%)

96/96 (100%)

33/33 (100%)

 

Black or African American, Not Hispanic or Latino

1615 (51.3%)

163/163 (100%)

86/86 (100%)

511/511 (100%)

114/114 (100%)

580/581 (99.8%)

76/77 (98.7%)

 

Hispanic or Latino

1657 (52.7%)

71/71 (100%)

375/375 (100%)

103/103 (100%)

533/533 (100%)

119/120 (99.2%)

287/288 (99.7%)

 

White, Not Hispanic or Latino

22 (0.7%)

41/41 (100%)

11/11 (100%)

376/376 (100%)

35/35 (100%)

2592/2614 (99.2%)

47/48 (97.9%)

Fay–Feuer CI

All-causes

American Indian or Alaska Native, Not Hispanic or Latino

1697 (53.9%)

247/247 (100%)

147/147 (100%)

380/380 (100%)

217/217 (100%)

282/282 (100%)

177/177 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

1673 (53.2%)

205/205 (100%)

236/236 (100%)

259/259 (100%)

302/302 (100%)

259/259 (100%)

213/213 (100%)

 

Black or African American, Not Hispanic or Latino

823 (26.2%)

63/63 (100%)

207/207 (100%)

254/254 (100%)

260/260 (100%)

1299/1303 (99.7%)

237/237 (100%)

 

Hispanic or Latino

599 (19.0%)

162/162 (100%)

443/443 (100%)

173/173 (100%)

741/741 (100%)

258/259 (99.6%)

770/770 (100%)

 

White, Not Hispanic or Latino

1 (0.0%)

1/1 (100%)

2/2 (100%)

19/19 (100%)

8/8 (100%)

3022/3027 (99.8%)

89/89 (100%)

G30–G31

American Indian or Alaska Native, Not Hispanic or Latino

3026 (96.2%)

54/54 (100%)

25/25 (100%)

29/29 (100%)

11/11 (100%)

1/1 (100%)

1/1 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2917 (92.7%)

52/52 (100%)

41/41 (100%)

67/67 (100%)

34/34 (100%)

34/34 (100%)

2/2 (100%)

 

Black or African American, Not Hispanic or Latino

2084 (66.2%)

226/226 (100%)

37/37 (100%)

503/503 (100%)

49/49 (100%)

228/228 (100%)

20/20 (100%)

 

Hispanic or Latino

2611 (83.0%)

52/52 (100%)

156/156 (100%)

72/72 (100%)

138/138 (100%)

52/52 (100%)

66/66 (100%)

 

White, Not Hispanic or Latino

123 (3.9%)

108/108 (100%)

6/6 (100%)

795/795 (100%)

32/32 (100%)

2053/2053 (100%)

30/30 (100%)

Q00–Q99

American Indian or Alaska Native, Not Hispanic or Latino

3099 (98.5%)

16/16 (100%)

14/14 (100%)

10/10 (100%)

8/8 (100%)

0/0 (–)

0/0 (–)

 

Asian or Pacific Islander, Not Hispanic or Latino

3018 (95.9%)

44/44 (100%)

28/28 (100%)

31/31 (100%)

15/15 (100%)

11/11 (100%)

0/0 (–)

 

Black or African American, Not Hispanic or Latino

2597 (82.5%)

196/196 (100%)

37/37 (100%)

212/212 (100%)

35/35 (100%)

64/64 (100%)

6/6 (100%)

 

Hispanic or Latino

2720 (86.4%)

41/41 (100%)

139/139 (100%)

40/40 (100%)

145/145 (100%)

23/23 (100%)

39/39 (100%)

 

White, Not Hispanic or Latino

1047 (33.3%)

717/717 (100%)

12/12 (100%)

1060/1060 (100%)

11/11 (100%)

292/292 (100%)

8/8 (100%)

V01–Y89

American Indian or Alaska Native, Not Hispanic or Latino

2594 (82.4%)

115/115 (100%)

66/66 (100%)

156/156 (100%)

97/97 (100%)

58/58 (100%)

61/61 (100%)

 

Asian or Pacific Islander, Not Hispanic or Latino

2593 (82.4%)

88/88 (100%)

124/124 (100%)

98/98 (100%)

115/115 (100%)

96/96 (100%)

33/33 (100%)

 

Black or African American, Not Hispanic or Latino

1615 (51.3%)

163/163 (100%)

86/86 (100%)

511/511 (100%)

114/114 (100%)

580/581 (99.8%)

77/77 (100%)

 

Hispanic or Latino

1657 (52.7%)

71/71 (100%)

375/375 (100%)

103/103 (100%)

533/533 (100%)

120/120 (100%)

288/288 (100%)

 

White, Not Hispanic or Latino

22 (0.7%)

41/41 (100%)

11/11 (100%)

376/376 (100%)

35/35 (100%)

2611/2614 (99.9%)

48/48 (100%)