MODEL ADITIF TERGENERALISASI UNTUK ANALISIS DESAIN KASUS TUNGGAL; GENERALIZED ADDITIVE MODELS TO ANALYZE SINGLE CASE DESIGN

Alimi, Miftah El, Herni Utami

2015 | Skripsi | FMIPA

Single case design is a design study in which subject was studied used as its own control. Problems encountered in the analysis of a single case design is modeling the functional form between two variables (often called trends). Modeling trend does not always follow the assumption of linearity and normal distribution response variables. The method will be described in this case is generalized additive models, this models excel in detecting nonlinear trends. Generalized additive models replace the linear function in generalized linear models with additive functions. The distribution of the response variable is not limited to the normal distribution but the other distributions in the exponential family. The case study about “Effects of Response Cards Evaluation on Students’ Disruptive Behavior” using single case design type A-B-A-B. Response data variable on Binomial form, then it’s using logit link function, smoothing function using thin plate splines, model estimation using Penalized Iteratively Re-Weighted Least Squares (P-IRLS) and selection of the best models use Akaike Information Criterion (AIC). Illustrations are given using the R software package mgcv. The result of research shows that generalized additive models fit properly to be used for analyzing single case design and the response cards have the significant effect on students’ disruptive behavior.

Kata Kunci : single case design; nonlinear regression; generalized additive models; Binomial; splines; P-IRLS estimation.