The Response Surface Methodology revisited – comparison of analytical and non-parametric approaches

Anderson, T.W., Darling, D.A., 1952. Asymptotic theory of certain "goodness- of-fit" criteria based on stochastic processes. Annals of Mathematical Statistics 23, 193-212.10.1214/aoms/1177729437Open DOISearch in Google Scholar

Box, G.E.P., Wilson, K.B., 1951. On the Experimental Attainment of Optimum Conditions. Journal of the Royal Statistical Society B 13, 1-45.10.1111/j.2517-6161.1951.tb00067.xSearch in Google Scholar

Efron, B., 1979. Bootstrap Methods: Another Look at the Jackknife. The Annals of Statistics 7, 1-26.10.1214/aos/1176344552Open DOISearch in Google Scholar

Gentle, J.E., Hardle, W.K., 2012. Handbook of Computational Statistics. Springer-Verlag, Berlin-Heidelberg.Search in Google Scholar

Kempthorne, O., Hinkelmann, K., 2007. Design and analysis of experiments. Vol.1. Introduction to experimental design. John Wiley & Sons, Hoboken.10.1002/9780470191750Search in Google Scholar

Kiefer, J., Wolfowitz, J., 1952. Stochastic Estimation of the Maximum of a Regression Function. The Annals of Mathematical Statistics 23, 462-466.10.1214/aoms/1177729392Open DOISearch in Google Scholar

Kolmogorov, A., 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari 4, 83-91.Search in Google Scholar

Osocha, P., Ulewicz, R., Szataniak, P., Pietraszek, M., Kołomycki, M., Dwornicka, R., 2015. The empirical assessment of the convergence rate for the bootstrap estimation in design of experiment approach. Solid State Phenomena 235, 16-23.10.4028/www.scientific.net/SSP.235.16Search in Google Scholar

Pietraszek, J., Wojnar, L., 2016. The bootstrap approach to the statistical significance of parameters in RSM model. ECCOMAS 2016 European Congress on Computational Methods in Applied Sciences and Engineering, Hersonissos, Crete, vol.1, 2003-2009.10.7712/100016.1937.9138Search in Google Scholar

Quenouille, M.H., 1949. Problems in Plane Sampling. The Annals of Mathematical Statistics 20, 355-375.10.1214/aoms/1177729989Open DOISearch in Google Scholar

Robbins, H., Monro, S., 1951. A Stochastic Approximation Method. The Annals of Mathematical Statistics 22, 400-407.10.1214/aoms/1177729586Open DOISearch in Google Scholar

Shao, J., Tu, D., 1995. The Jackknife and Bootstrap. Springer, New York.10.1007/978-1-4612-0795-5Search in Google Scholar

Shapiro, S.S., Wilk, M.B., 1965. An Analysis of Variance Test for Normality. Biometrika 52, 591-611.10.1093/biomet/52.3-4.591Open DOISearch in Google Scholar

Smirnov, N., 1948. Table for estimating the goodness of fit of empirical distributions. Annals of Mathematical Statistics 19, 279-281.10.1214/aoms/1177730256Open DOISearch in Google Scholar

Tukey, J.W., 1958. Bias and confidence in not quite large samples (abstract). The Annals of Mathematical Statistics 29, 614-614.10.1214/aoms/1177706647Search in Google Scholar