Structure and module numbering

There are 6 modules (each with 6 items) numbered as follows

stage1 stage2 stage3
M6
M3
M1 M5
M2
M4

Plots of theoretical and empirical modells

Theoretical probabilities

The overall final probabilites and probabilities as a function of \(\theta\)

risk low med high
8.4 17.1 27.9 46.3

Items and cutoffs

The cutoffs (need at least the following number of correct responses to branch up)

M1 M2 M3 M4 M5 M6
4 4 4 5 4 4

Items per module

## [[1]]
##                   a          b c d
## B3_vsk009s 1.636786 -1.1515359 0 1
## B3_vo006s  2.217111 -0.8181374 0 1
## B3_vo051s  1.938056 -0.8459407 0 1
## B3_vo085s  1.413604 -0.9553732 0 1
## B3_vo063s  2.128242 -0.9725566 0 1
## B3_my507s  2.075539 -1.0883254 0 1
## 
## [[2]]
##                    a         b c d
## B3_vsk010s 1.5040306 -1.254817 0 1
## B3_vo065s  1.8886205 -1.435543 0 1
## B3_vo076s  1.2086765 -1.218528 0 1
## B3_my605s  0.9831046 -1.455567 0 1
## B3_my612s  1.6555905 -1.339067 0 1
## B3_my629s  1.3807429 -1.224769 0 1
## 
## [[3]]
##                  a          b c d
## B3_vo054s 2.123201 -0.6643373 0 1
## B3_vo045s 2.334448 -0.6311405 0 1
## B3_vo046s 2.171658 -0.4607203 0 1
## B3_vo064s 1.996399 -0.4821619 0 1
## B3_vo027s 2.461618 -0.6557993 0 1
## B3_vo028s 2.082432 -0.7601061 0 1
## 
## [[4]]
##                  a         b c d
## B3_vsf46s 1.949771 -1.759149 0 1
## B3_vsf45s 1.428476 -1.714043 0 1
## B3_vsf40s 1.401311 -1.866043 0 1
## B3_vo078s 1.297184 -1.673983 0 1
## B3_my607s 1.364925 -1.933361 0 1
## B3_my614s 1.822873 -1.944879 0 1
## 
## [[5]]
##                    a          b c d
## B3_vsk006s 1.8331640 -0.7971389 0 1
## B3_vsk011s 1.1875052 -0.7735830 0 1
## B3_vo074s  0.6767774 -1.0947315 0 1
## B3_my601s  0.6299792 -1.2139064 0 1
## B3_my604s  0.7853485 -1.0367481 0 1
## B3_my611s  1.0218587 -0.8736314 0 1
## 
## [[6]]
##                   a           b c d
## B3_vsk005s 1.782335 -0.19171787 0 1
## B3_vo004s  1.539260 -0.16259194 0 1
## B3_vo011s  1.418559 -0.06595774 0 1
## B3_vo056s  1.872989 -0.39161642 0 1
## B3_vo052s  1.720254 -0.28464765 0 1
## B3_vo026s  1.455878 -0.13287873 0 1