Well, to be honest. I think it is better to give more explanation. There are definitely a variety of statistical methods to answer you and analyze your data. However, they do not know what your work, hypotheses and questions are.

Babajide Olabamiyo , in the case you want to build a model, you may be interested in estimating an ordinal regression model, as e.g. an ordinal logit regression. See for example:

In R, for example:

dat

"Ranking frequency of usage" is not enough information in this situation for a meaniful rather than black box suggestions. There are many conditional choices based on your research question and objectives. From non parametric weighted sign test, to non parametric equivalent of two factor, one blocking factor and completely randomize Block design, to repeated measured non parametric, to alternative to one way ANOVA.

For example: Do you have clusters, with your count response of frequencies process. What do you mean by weighted means? Give a minimal insight into your research question.

Note: When one of the two factors is a blocking factor, we can use Friedman's Test for a nonparametric Randomized Complete Block Design. The Friedman test is the non-parametric alternative to the one-way ANOVA ( continuous response variable, and categorical IV) with repeated measures. While, Kruskal – Wallis test is the nonparametric equivalent of the one - way ANOVA and essentially tests whether the medians of three or more independent group levels are significantly different.

Best wishes

Ibiloye