ESTIMATOR NADARAYA-WATSON DENGAN FUNGSI KERNEL GAUSSIAN (Studi Kasus: Berat Badan Balita Kecamatan Kalasan, Kabupaten Sleman Tahun 2014); NADARAYA-WATSON ESTIMATOR WITH GAUSSIAN KERNEL (Case Study: The Weight Data of Children Under 5 Years Old at Kalasan, Sleman in 2014)

Rifqoh, Nisa K, Danardono

2015 | Skripsi | FMIPA

Nonparametric regression is a form of regression analysis in which the predictor does not take a predetermined form but is constructed according to information derived from the data. One type of function that can be used to estimate nonparametric regression is Gaussian kernel function. In the kernel regression, there are several estimator that can be used to model children's weight at Kalasan, Sleman in 2014, one of them is Nadaraya-Watson. We need a constant smoothing called bandwidth. Several methods can be used to get the value of the bandwidth that fits the data is the bandwidth “Rule of Thumb” method, Unbiased Cross Validation (UCV) method, Biased Cross Validation (BCV) method and Complete Cross Validation (CCV) method. The comparison of Mean Square Error (MSE) value is used to evaluate the best method in estimating children's weight. The smallest MSE values for both male and female weight data were obtained by using bandwidth “Rule of Thumb” method. The estimation results indicated that at the same age, male children under five years old are generally heavier than female.

Kata Kunci : Nonparametrick Regression; Kernel Regression; Gaussian Kernel; Nadaraya-Watson Estimator; Bandwidth.