A note on the S10Reasoning files
The data are those in Figure 2 of Dube, Rotello, & Heit (submitted).
S10Reasoning_SDT.xls: Contains labels for bias conditions (cells A2-A21), response
proportions (B2-B21), corresponding observed counts (C2-C21), corresponding
observed proportions (D2-D21), predicted proportions (E2-E21), corresponding
G^2 values (F2-F21), G^2 computed for the dataset as a whole (G22) and the
corresponding p-value (H22).
The equations in E2-E21 involved the parameter values which are listed in cells
C23-C29. The corresponding labels are listed in B23-B29. “nd” is the mean of the
valid item distribution, ns is 1/SD of the valid distribution, and nc1-nc5 are the
yes/no response criteria for the five bias conditions.
The SDT equations used in E2-E21 are analogous to the ones reported in DRH, but
for binary data rather than ratings (see, e.g., Macmillan & Creelman, 2005).
There is also an ROC plot containing the observed and predicted response
proportions (observed are circles).
Excel Solver was used to fit the data, by changing the values in C23-C29 such that
the value in G22 is minimized.
S10Reasoning_MPT.xls is analogous to the SDT file, but contains equations for the
MPT model as construed in Bröder and Schütz (2009). The parameters have been
renamed to reflect reasoning rather than recognition data. Hence, p0 is now ‘rvb’
and pn is now ‘rib’. The bias parameters are ab_1-ab_5.