%\VignetteIndexEntry{Dichotomous key for Type I, II, and III SS}
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\begin{document}
\title{Type I Sums of Squares dichotomous key}
\author{Ken Aho}
\maketitle

\begin{itemize}
\item [\large{\textbf{1a}}] \ul{\textbf{More than one predictor, and predictors are quantitative, i.e., multiple regression, or predictors are both quantitative and categorical, i.e., ANCOVA}}\dotfill \newline Don't use type I SS.  Use type II or III SS, e.g., \texttt{car::Anova}, or use $t$-tests to evaluate quantitative predictors using \texttt{lm()}.
\item [\large{\textbf{1b}}] \ul{\textbf{All predictors are categorical, i.e., ANOVA framework.}}\dotfill \textbf{2}
\begin{itemize}
\item [\large{\textbf{2a}}] \ul{\textbf{One factor, i.e., one-way ANOVA.}}\dotfill \linebreak
Type I SS OK, i.e., type I = type II = type III SS. 
\item [\large{\textbf{2b}}] \ul{\textbf{More than one factor, i.e., multi-way ANOVA.}}\dotfill \textbf{3}\\
\vspace{-0.1in}
\begin{itemize}
\item [\large{\textbf{3a}}] \ul{\textbf{Balanced design}}\dotfill \linebreak Type I SS OK, i.e., type I = type II = type III SS. 
\item [\large{\textbf{3a}}] \ul{\textbf{Design \textit{not} balanced}} \dotfill \linebreak Don't use Type I SS.  Use type II or type III SS, e.g., \texttt{car::Anova}.
\end{itemize}
\end{itemize}
\end{itemize}

\end{document}
