\relax \citation{Horner} \citation{bsg} \citation{mcml} \citation{SigCalcNote} \newlabel{eq:poisson}{{1}{1}} \citation{Wilks} \citation{Kendall2} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip A sample distribution: (a) zeroth-order model (e.g., MC), (b) true (in general unknown), and (c) a possible data set generated from the true distribution.}}{2}} \newlabel{fig:dist}{{1}{2}} \newlabel{eq:pearson}{{2}{2}} \newlabel{eq:lr}{{3}{2}} \newlabel{eq:mle}{{4}{2}} \newlabel{eq:lnlr}{{5}{2}} \citation{Bernstein} \newlabel{eq:pval}{{6}{3}} \newlabel{eq:chi2dist}{{7}{3}} \newlabel{eq:nuimod}{{8}{3}} \newlabel{eq:bernsteindef}{{9}{3}} \newlabel{eq:scalefunc}{{10}{3}} \newlabel{eq:nested}{{11}{3}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Bernstein basis polynomials of different orders $n$.}}{4}} \newlabel{fig:bernstein}{{2}{4}} \newlabel{eq:scale0}{{12}{4}} \newlabel{eq:lr1}{{13}{4}} \newlabel{eq:qvar}{{14}{4}} \newlabel{eq:pvalchi21}{{15}{5}} \newlabel{eq:lrmm1}{{16}{5}} \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces }}{5}} \newlabel{tab:chi2}{{1}{5}} \bibcite{Horner}{1} \bibcite{bsg}{2} \bibcite{mcml}{3} \bibcite{SigCalcNote}{4} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces \relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Fits for different numbers of adjustable parameters.}}{6}} \newlabel{fig:fit}{{3}{6}} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Distributions of the test variable $q$ (a) for the zeroth-order model and (b)--(f) when comparing models with differing numbers of additional parameters.}}{7}} \newlabel{fig:chi2}{{4}{7}} \bibcite{Wilks}{5} \bibcite{Kendall2}{6} \bibcite{Bernstein}{7}