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. Author manuscript; available in PMC: 2009 Oct 1.
Published in final edited form as: J Am Stat Assoc. 2008 Mar 1;103(481):61–73. doi: 10.1198/016214507000000329

Table 2.

Estimation of prevalence and rater-specific sensitivity and specificity for digital radiography with no gold standard (GS) and with the consensus rating as the gold standard

Estimator CI GRE FM



Rater GS No GS GS No GS GS No GS
Pd Est .24 .18 .24 .22 .24 .22
SE (.04)b (.04) (.04) (.07) (.04) (.07)
1 SENS Est .67 .88 .66 .77 .67 .78
SE (.09) (.11) (.09) (.16) (.09) (.11)
SPEC Est .99 .99 .99 1.00 .99 1.00
SE (.01) (.01) (.01) (.01) (.01) (.01)
2 SENS Est .78 .89 .77 .80 .78 .81
SE (.08) (.07) (.08) (.14) (.08) (.08)
SPEC Est .87 .85 .87 .86 .87 .86
SE (.04) (.04) (.04) (.05) (.04) (.04)
3 SENS Est .52 .68 .51 .57 .52 .57
SE (.10) (.13) (.10) (.14) (.10) (.13)
SPEC Est .99 .99 .99 .97 .99 .99
SE (.01) (.01) (.01) (.01) (.01) (.01)
4 SENS Est .81 1.00 .82 .92 .81 1.00
SE (.07) (.05) (.07) (.14) (.08) (.01)
SPEC Est .97 .95 .97 1.00 .97 .99
SE (.02) (.03) (.02) (.03) (.02) (.03)
5 SENS Est .85 1.0 .86 .92 .85 .92
SE (.07) (.05) (.07) (.14) (.07) (.04)
SPEC Est .72 .71 .72 .72 .72 .72
SE (.05) (.05) (.05) (.06) (.05) (.05)
6 SENS Est .89 .94 .88 .84 .89 .85
SE (.06) (.07) (.07) (.09) (.06) (.06)
SPEC Est .90 .85 .89 .86 .90 .86
SE (.03) (.04) (.03) (.05) (.03) (.04)

NOTE: Models were fit under the conditional independence (CI), finite mixture (FM), and Gaussian random effects (GRE) modelsa using Iinuma et al.'s data.

a

There are 13 (2J + 1) parameters for the CI model and 15 (2J + 3) parameters for the FM and GRE models.

b

Standard errors were estimated using a bootstrap with 1,000 bootstrap samples.