The word "rigour" means being very strict, precise, and thorough in doing something. It's about being diligent, following rules, and paying attention to all the details. Full definition
The lack of rigour of many of the alarmist prognostications is a feature of the current AGW MSM literature, which has been mirrored more often than not by sceptical commenters. (judithcurry.com)
If the case boils down to getting to grips with rigours of the Premier League, then we can expect a swift return to top from for Di Maria. (caughtoffside.com)
There is a lack of rigour in this report which leads to sensationalist conclusions. (schoolsweek.co.uk)