
doi: 10.1007/bf02741310
SiZerSS is a shortening for ``Significant Zero crossing of derivatives for smoothing splines''. This is a 2D graphical display at which for a smoothing spline \(\hat f_\lambda(x)\) (\(\lambda\in[\lambda_{\min},\lambda_{\max}]\) being a smoothing parameter) a point with coordinates \((\lambda,x)\) is marked by its colour if \((\partial/\partial x)\widehat f_\lambda(x)\) is significantly positive, negative, \(\simeq 0\), or if the data are too sparse at \(x\) to make significant statements. Construction of SiZerSS is described and the choice of \(\lambda_{\min},\lambda_{\max}\) is discussed. The case of binned data is also considered. Results of simulations and application to family food expenditures in UK are considered.
Nonparametric tests, Smoothing splines, smoothing parameter, graphical data analysis, Graphical methods in statistics, SiZer, Nonparametric regression and quantile regression
Nonparametric tests, Smoothing splines, smoothing parameter, graphical data analysis, Graphical methods in statistics, SiZer, Nonparametric regression and quantile regression
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