Open AccessMATHEMATICAL ANALYSIS OF A MULTIPLE‐LOOK CONCEPT IDENTIFICATION MODEL
Author(s) -
Cotton John W.
Publication year - 1970
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1970.tb00801.x
Subject(s) - mathematics , focus (optics) , identification (biology) , conditional probability , section (typography) , statistics , econometrics , calculus (dental) , computer science , medicine , botany , physics , dentistry , optics , biology , operating system
ABSTRACT The behavior of focus samples central to the multiple‐look model of Trabasso and Bower (1968) is examined by three methods. First, exact probabilities of success conditional upon a certain brief history of stimulation are determined. Second, possible states of the organism during the experiment are defined and a transition matrix for those states determined, permitting prediction over all possible numbers of trials. Third, Fisher's generalizations and corrections of the Trabasso and Bower focus sample theory are examined. A general solution for the conditional probability of success is derived from Fisher's equation for the probability of n successes between any two errors. One very strong implication of the theory is given in Section 5.