TABLE 1.

Symbols and Descriptions of Parameters, Random Variables, and Statistics

Symbols	Descriptions
Oi	subject i
τi	rate of subject reliability
αi, βi	shape of subject regularity
γ	rate of agreement by chance
Θ	union of parameters
$T_j^{(k)}$	whether Oj reliably response
$J_i^{(k)}$	rate of Oi agreeing with other reliable responses
$I_{i,j}^{(k)}$	whether Oi agrees with the responses from Oj
${\omega }_i^{(k)}(\cdot )$	cumulative degree of responses agreed by Oi
${\psi }_i^{(k)}(\cdot )$	cumulative degree of responses
$r_j^{(k)}(\cdot )$	a ratio amplifies or discounts the reliability of Oj
${\tilde{\tau }}_i^{(k)}$	sufficient statistics of posterior $T_i^{(k)}$, given $\tilde{\mathrm{\Theta }}$
${\tilde{\alpha }}_i^{(k)},{\tilde{\beta }}_i^{(k)}$	sufficient statistics of posterior $J_i^{(k)}$, given $\tilde{\mathrm{\Theta }}$