A two-state model of simple reaction time

- 12 -
S oA oB A B
S 0 I-a a 0 0
oA 0 0 I-b b 0
Q== oB 0 l-c 0 0 c 0-10)
A 0 0 0 1 0
B 0 0 0 0 1
On each trial the subject begins in the starting state,S,
goes to one or the other orienting state( oA or oB ) , and from
there, he either goes on to make the recorded response( A or B )
or shifts to the other orienting state( oB or oA ). Furthermore,
Kintsch(1963) assumes that the time required to complete each
transition step is the discrete random variable which follows
the geometric distribution,eq.(I-II);
k-l
P(k)=p 'O-p) (1-11)
From eqs.(1-10) and (1-11), the mean latency of responses
f or the case b=c can be derived;
The mean latency::::: (1 + b)· p
b· (1 - p)
In the recruitment theory proposed by LaBerge(1962),
the accumulation process is determined by sampling by replacement.
This model assumes that there are three types of elements,C 1 , C 2