Least-squares means are predictions from a linear model, or averages thereof. They are useful in the analysis of experimental data for summarizing the effects of factors, and for testing linear contrasts among predictions. The lsmeans package (Lenth 2016) provides a simple way of obtaining least-squares means and contrasts thereof. It supports many models fitted by R (R Core Team 2015) core packages (as well as a few key contributed ones) that fit linear or mixed models, and provides a simple way of extending it to cover more model classes.

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When a linear model is rank-deficient, then predictions based on that model become questionable because not all predictions are uniquely estimable. However, some of them are, and the estimability package provides tools that package developers can use to tell which is which. With the use of these tools, a model object's predict method could return estimable predictions as-is while flagging non-estimable ones in some way, so that the user can know which predictions to believe. The estimability package also provides, as a demonstration, an estimability-enhanced epredict method to use in place of predict for models fitted using the stats package.

This article describes the recent package rsm, which was designed to provide R support for standard response-surface methods. Functions are provided to generate centralcomposite and Box-Behnken designs. For analysis of the resulting data, the package provides for estimating the response surface, testing its lack of fit, displaying an ensemble of contour plots of the fitted surface, and doing follow-up analyses such as steepest ascent, canonical analysis, and ridge analysis. It also implements a coded-data structure to aid in this essential aspect of the methodology. The functions are designed in hopes of providing an intuitive and effective user interface. Potential exists for expanding the package in a variety of ways.

Box and Meyer (1986) introduced a method for assessing the sizes of contrasts in unreplicated factorial and fractional factorial designs. This is a useful technique, and an associated graphical display popularly known as a Bayes plot makes it even more effective. This article presents a competing technique that is also effective and is computationally simple. An advantage of the new method is that the results are given in terms of the original units of measurement. This direct association with the data may make the analysis easier to explain.