Finite-state recall revealed by backward learning curves constructed from confidence ratings

Two experiments were carried out to show that the constancy of Type II d’ in recall is not an artifact, but is due to finite-state processes as suggested by Bernbach (1967). The following conclusions were reached: (1) The constancy of Type II d’ is not an artifact due to the inclusion of intralist intrusions in the class of incorrect responses; (2) backward learning curves constructed from confidence ratings gave clear evidence of all-or-none recall; (3) recall appeared to be all or none whether the subjects learned by rote or with a mnemonic; (4) the discriminability index derived from Luce’s (1959) choice theory did not exhibit constancy over trials, unlike Type II d’ and despite the fact that backward rating curves indicated all-or-none processes.     

Depth of processing: When the principle of congruity fails

Two factors, level of processing (Craik & Lockhart, 1972) and congruity (Schulman, 1974), known to have large effects on the recall of experimenter-provided responses to questions, were examined in a series of five incidental learning experiments using subject-generated responses. The data show that manipulation of level of processing has the same effect on recall of subjectgenerated responses as it does on experimenter-provided responses. However, the effect of congruity is reversed for subject-generated responses. The data suggest that the difficulty of generating unrelated responses (“incongruous“ items) may account, at least in part, for the failure of the “principle of congruity“ with subject-generated responses.     

Meaning,amount of processing,and memory for words

Two experiments were carried out in order to try to resolve the controversy about whether the semantic processing of a word necessarily involves all the elements of its meaning. In the first experiment, subjects categorized a list of auditorially presented words according to whether or not they were natural consumable solids (e.g., “apple“). They were then given an unexpected test of their ability to recall the whole list, which contained equal numbers of words with none, one, two, or all three of the target components. The results confirmed the prediction that the greater the number of components a word has in common with a target category, the better it will be recalled. The second experiment used a visual presentation of a list of words, which subjects scanned for members of a particular target category. There were four different target categories assigned to independent groups of subjects. The results again confirmed the prediction. On the assumption that memorability in such tasks is determined by amount of processing, we conclude that some elements of the meaning of a word can be processed without having to process all of them.     

Matrix derivatives with chain rule and rules for simple,Hadamard, and Kronecker products

The differential calculus for scalars is used to develop theorems for a calculus of functions of matrices. No appeal to scalar notation is necessary in the resulting calculus, so that the given chain and matrix product rules have wide applicability to matrix theory and models. The chain and product rules of scalar calculus become a special case of the matrix rules. The methods are illustrated by application to a generalized stochastic process model potentially relevant to long- and short-term memory.     

Personality differences between established and less-established male and female creative artists

Past research on personality constructs of creative individuals has focused on men rather than women and has neglected the essentially social aspect of being considered creative. Therefore, personality variables of 60 male and 60 female creative artists were described using the California Psychological Inventory (CPI). Male and female groups were further divided equally into two subgroups reflecting a difference in degree of social acceptance of their work. Relationships between the four groups were explored by multiple discriminant analysis. The major conclusion noted was that creative females tend to be more like their creative male counterparts, in terms of CPI scale variation, than are males and females in general.     

On coalition formation in simple games: A mathematical analysis of Caplow's and Gamson's theories

In this paper, we propose a theory of coalition formation in simple games. The process of coalition formation is modeled as an abstract game. Two solutions of abstract games, the core and the dynamic solution, are used as the predictions of our model. Two classical theories of coalitions in sociology due to Caplow and Gamson are reformulated in a more general and mathematical setting. These theories are then analyzed using the techniques of our theory.