In the spirit of open science, I have posted a video of a talk on statistical practice that I gave in the Cognition Forum at Bowling Green State University.
This talk was in 2 parts; the first part summarizes many of the common objections to null hypothesis significance testing (NHST) that thinkers have made over the decades, and the second part goes over my current recommendations to tackle the problem.
You can view and download the full slideshow at https://drive.google.com/open?id=0B4ZtXTwxIPrjTktiMGdoQ3JBSHM. The free (and very easy-to-use!) statistical program JASP can be found at https://jasp-stats.org/. JASP is useful if you want to run the analysis on the precision-vs-oomph example that I discuss at the end of the video (at the 39:41 mark).
I have already tackled some of the issues with NHST on more than one occasion in prior posts here, and I have also provided a practical guide to psych stats as a freely available educational resource!
There are a variety of excellent papers on the topic of statistical practice in social science fields; my working paper on the subject summarizes them. In the interest of open science, I've made this working paper available at https://osf.io/preprints/psyarxiv/hp53k/. Other great resources on the topic include Gigerenzer (2004) and Ziliak & McCloskey (2009), which are also freely available.