ERIC Number: ED189106
Record Type: Non-Journal
Publication Date: 1979-Jun
Reference Count: N/A
An Approximation to the True Ability Distribution in the Binomial Error Model and Applications. Research Memorandum 79-5.
Huynh, Huynh; Mandeville, Garrett K.
Assuming that the density p of the true ability theta in the binomial test score model is continuous in the closed interval (0, 1), a Bernstein polynomial can be used to uniformly approximate p. Then via quadratic programming techniques, least-square estimates may be obtained for the coefficients defining the polynomial. The approximation, in turn will yield estimates for any indices based on the univariate and/or bivariates density function associated with the binomial test score model. Numerical illustrations are provided for the projection of decision reliability and proportion of success in mastery testing. (Author)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: National Inst. of Education (DHEW), Washington, DC.
Authoring Institution: South Carolina Univ., Columbia. School of Education.