[Idea]: add strided implementations of statistical hypothesis tests

[kgryte]

Idea

In the @stdlib/stats namespace, we implement a number of hypothesis tests (e.g., z-test, t-test, chi-square test, Bartlett test, and more). Recently, we began work to create lower-level strided array implementations (e.g., see @stdlib/stats/strided/dztest). These strided APIs allow us to create type-specialized implementations which can be implemented in both JavaScript and C, and they allow us to create higher-level ndarray APIs which can operate on one or more ndarray dimensions.

The goal of this idea is to build on the work implementing strided APIs for ztest and ztest2 to implement strided APIs for the remainder of the statistical hypothesis test APIs.

For those interested in this idea, you should

• study https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/strided/dztest, https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/strided/sztest, https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/strided/ztest, etc, along with their dependency trees, in order to understand how these packages are put together.
• create a list of currently supported hypothesis tests (e.g., in a Google spreadsheet)
• find which ones we have already implemented lower-level strided array APIs
• identify which APIs have not already been implemented
• identify the prerequisite packages, such as dependencies, which are not currently available (e.g., C APIs) and will need to be implemented
• describe a plan for implementing the missing functions

Expected Outcomes

Users will be able to use strided implemented APIs to operate on one-dimensional strided arrays.

Involved Software

No other software is necessary.

Prerequisite Knowledge

JavaScript, Node.js.

Difficulty

Intermediate. There may be some instances where we will need to ensure implementation of certain functions in C (e.g., certain stats/base/dists/* packages) and those may vary in difficulty (e.g., beta functions).

Project Length

90/175/350 hours. Can be scoped accordingly. Scope can be expanded to implement additional statistical hypothesis tests which are not currently available in stdlib.

[kgryte]

If we are missing a C dependency, at minimum, we could go ahead and implement the "generic" pure JavaScript strided API for a hypothesis test.