ASU contains a number of articles on different topics. Be sure to check "Peer reviewed" on the left when you're looking at article results. Try to structure your search by looking for the method you need. (For example, add "Quantitative or statistic" to the second search box). See image below.
Science Direct provides full text articles in the sciences. Just like ASU above, search for your topic and then add search terms for your methods to the search. (For example, "Statistics OR statistical OR Quantitative")
Note that while PsycArticles has a methodology (quantitative or qualitative) limiter, the other two databases do not.
Make sure that you include search terms related to the methodology you're seeking. For example, adding "Quantitative OR Statistics OR Statistical to Academic Search Ultimate or Science Direct will help to narrow down your result list to only quantitative articles. See the image below for a sense.
Once you've found an article you like, try to find one on a similar topic. For example, if I begin searching for articles about baseball and find info about shoulder injuries (such as the example article) try to add injury to your search as well, so that you're looking at a focused set of information.