SMALL-SAMPLE EQUATING WITH LOG-LINEAR SMOOTHING

Small-Sample Equating With Prior Information

Chained Linear Equating

Generalized log-linear models with random effects, with application to smoothing contingency tables

We define a class of generalized log-linear models with random effects. For a vector of Poisson or multinomial means l and matrices of constants C and A, the model has the form C log Al 1⁄4 Xb þ Zu, where b are fixed effects and u are random effects. The model contains most standard models currently used for categorical data analysis. We suggest some new models that are special cases of this mo...

Equating with bivariate log-linear presmoothing under the common-item nonequivalent groups design: structural zeros and their implications

In equating, when common items are internal and scoring is in terms of the number of correct items, some pairs of total scores (X) and common-item scores (V ) can never be observed in a bivariate distribution of X and V ; these pairs are called structural zeros (Bishop, Fienberg, & Holland, 2007; Holland & Wang, 1987). This study examines how different approaches to handling structural zeros gi...

Adaptive smoothing of the log-spectrum with multiple tapering

A hybrid estimator of the log-spectral density of a stationary time series is proposed. First, a multiple taper estimate is performed, followed by kernel smoothing the log-multiple taper estimate. This procedure reduces the expected mean square error by (π 2 4) 4/5 over simply smoothing the log tapered periodogram. A data adaptive implementation of a variable bandwidth kernel smoother is given.