05695cam a2200769 i 4500 ocn856879313 OCoLC 20171106084256.0 m o d cr ||||||||||| 130823s2014 nju ob 001 0 eng 2013034788 9781118763940 (epub) 1118763947 (epub) 9781118763902 (pdf) 1118763904 (pdf) 9781118763971 (electronic bk.) 1118763971 (electronic bk.) 1118764048 9781118764046 9781118764046 (cloth) AU@ 000053336455 DEBBG BV042490198 DEBSZ 434833789 NZ1 15495711 NZ1 15905577 DEBBG BV043396174 (OCoLC)856879313 (OCoLC)864997729 (OCoLC)874968067 (OCoLC)895288368 (OCoLC)929527155 (OCoLC)961629619 (OCoLC)962642489 CL0500000502 Safari Books Online DLC eng rda pn DLC YDX N$T YDXCP DG1 CUI OCLCF UMI COO RECBK DEBBG STF E7B OCLCO EBLCP OCLCQ pcc MAIN QA276 MAT 003000 bisacsh MAT 029000 bisacsh 519.5 23 Panik, Michael J. Growth curve modeling : theory and applications / Michael J. Panik, Department of Economics, University of Hartford, West Hartford, Connecticut. [electronic resource] Hoboken, New Jersey : John Wiley & Sons, Inc., [2014] 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Title page; copyright; dedication; preface; 1 mathematical preliminaries; 1.1 arithmetic progression; 1.2 geometric progression; 1.3 the binomial formula; 1.4 the calculus of finite differences; 1.5 the number e; 1.6 the natural logarithm; 1.7 the exponential function; 1.8 exponential and logarithmic functions: another look; 1.9 change of base of a logarithm; 1.10 the arithmetic (natural) scale versus the logarithmic scale; 1.11 compound interest arithmetic; 2 fundamentals of growth; 2.1 time series data; 2.2 relative and average rates of change; 2.3 annual rates of change. 2.4 discrete versus continuous growth2.5 the growth of a variable expressed in terms of the growth of its individual arguments; 2.6 growth rate variability; 2.7 growth in a mixture of variables; 3 parametric growth curve modeling; 3.1 introduction; 3.2 the linear growth model; 3.3 the logarithmic reciprocal model; 3.4 the logistic model; 3.5 the gompertz model; 3.6 the weibull model; 3.7 the negative exponential model; 3.8 the von bertalanffy model; 3.9 the log-logistic model; 3.10 the brody growth model; 3.11 the janoschek growth model; 3.12 the lundqvist-korf growth model. 3.13 the hossfeld growth model3.14 the stannard growth model; 3.15 the schnute growth model; 3.16 the morgan-mercer-flodin (m-m-f) growth model; 3.17 the mcdill-amateis growth model; 3.18 an assortment of additional growth models; appendix 3.a the logistic model derived; appendix 3.b the gompertz model derived; appendix 3.c the negative exponential model derived; appendix 3.d the von bertalanffy and richards models derived; appendix 3.e the schnute model derived; appendix 3.f the mcdill-amateis model derived; appendix 3.g the sloboda model derived. Appendix 3.h a generalized michaelis-menten growth equation4 estimation of trend; 4.1 linear trend equation; 4.2 ordinary least squares (ols) estimation; 4.3 maximum likelihood (ml) estimation; 4.4 the sas system; 4.5 changing the unit of time; 4.6 autocorrelated errors; 4.7 polynomial models in t; 4.8 issues involving trended data; appendix 4.a ols estimated and related growth rates; 5 dynamic site equations obtained from growth models; 5.1 introduction; 5.2 base-age-specific (bas) models; 5.3 algebraic difference approach (ada) models. 5.4 generalized algebraic difference approach (gada) models5.5 a site equation generating function; 5.6 the grounded gada (g-gada) model; appendix 5.a glossary of selected forestry terms; 6 nonlinear regression; 6.1 intrinsic linearity/nonlinearity; 6.2 estimation of intrinsically nonlinear regression models; appendix 6.a gauss-newton iteration scheme: the single parameter case; appendix 6.b gauss-newton iteration scheme: the r parameter case; appendix 6.c the newton-raphson and scoring methods; appendix 6.d the levenberg-marquardt modification/compromise. Print version record and CIP data provided by publisher. Mathematical statistics. Time-series analysis. Regression analysis. Multivariate analysis. Time series analysis. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical statistics. fast (OCoLC)fst01012127 Multivariate analysis. fast (OCoLC)fst01029105 Regression analysis. fast (OCoLC)fst01432090 Time-series analysis. fast (OCoLC)fst01151190 Electronic books. Electronic books. Print version: Panik, Michael J. Growth curve modeling. Hoboken, New Jersey : John Wiley & Sons, Inc., [2013] 9781118764046 (DLC) 2013026535 http://onlinelibrary.wiley.com/book/10.1002/9781118763971 Wiley Online Library ddc BK 206952 206952