Understanding and Applying Basic Statistical Methods Using R (2017, Wiley) is a one-semester introduction to statistics aimed at undergraduates or possibly graduate students. It covers all of the standard methods typically covered, but it does not ignore the many advances and insights relevant to basic techniques. Briefly, modern advances provide vastly improved methods for dealing with skewed distributions, outliers and heteroscedasticity. As demonstrated in hundreds of journal articles, for a broad range of situations, modern methods can provide substantially higher power and more meaningful measures of effect size compared to more traditional techniques. These advances can provide a deeper and more nuanced understanding of data. Moreover, they are playing an increasingly important role in many disciplines.
My CRC book is aimed at a two-semester, graduate level course; it provides a much more thorough introduction to basic techniques that takes into account modern insights. All of my recent books include descriptions of how to apply both classic and modern methods using R.