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STATISTICAL CONSIDERATIONS BASED ON AN INSTRUMENT FOR MEASURING ADVISER PERCEPTION
Author(s) -
Kupper Lawrence L.,
Hulka Barbara S.,
Cassel John C.
Publication year - 1973
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1973.tb00514.x
Subject(s) - perception , set (abstract data type) , measure (data warehouse) , mathematics , null hypothesis , statistics , statistical hypothesis testing , psychology , social psychology , econometrics , computer science , data mining , neuroscience , programming language
An instrument is described for measuring the degree to which an adviser perceives' his advisees' attitudes. Its application requires each of n advisees to respond to a form consisting of c items. For each item, the adviser is instructed to respond as he thinks the particular advisee under consideration did. If X ij = j th advisee's response to the i th item, and if Y ij = adviser's estimate of X ij , then θ ij = | X ij – Y ij | is a reasonable measure of response discrepancy. Since the distribution of θ ij for a given patient response X ij = x depends on x , an ‘equitable’ comparison between two advisers must take into account differences in the distributions of advisee responses. A ‘standardized’ perception score is developed which reflects the fractional gain in perception from its worst possible value, conditional on the observed set of advisee responses. A method for testing the null hypothesis that two advisers are equally perceptive is given and a numerical example is included which illustrates the necessity for standardizing.