Table 1 3 × 2 table accounting for prevalence and missing index test results

n _i11

n _i10

n _i1+

+

(1−ω _{i m1})π _i S e _i

(1−ω _{i m0})(1−π _i )(1−S p _i )

(1−ω _{i m1})π _i S e _i +(1−ω _{i m0})(1−π _i )(1−S p _i )

n _i01

n _i00

n _i0+

−

(1−ω _{i m1})π _i (1−S e _i )

(1−ω _{i m0})(1−π _i )S p _i

(1−ω _{i m1})π _i (1−S e _i )+(1−ω _{i m0})(1−π _i )S p _i

n _{i m1}

n _{i m0}

n _{i m+}

Missing

ω _{i m1} π _i

ω _{i m0}(1−π _i )

ω _{i m1} π _i +ω _{i m0}(1−π _i )

n _i+1

n _i+0

n _i++

Total

π _i

1−π _i

1