How to know whether a methodological technique is quantitative or qualitative?
ANOVA and t-tests are statistical tests for significance and therefore quantitative.

The other mentioned items are scales (adding numbers to a certain choice) and therefore they can be considered as ordinal scales, and hence as quantitative as they are based on numbers. 

The NASA one can be administered by using a sliding scale which can be considered to be a continuous scale, allowing for parametric statistical testing. However, if divided in say 10 choices, it becomes an ordinal scale and non-parametric tests have to be used.