add proportions_ztest to test examples

[paulz]

Add proportions_ztest

and compare it with current StatisticalAnalysis

Testing framework updates:

• examples/team_recommender/tests/test_helpers.py: Added new test cases and modified existing ones to improve the accuracy of success rate measurements and sample size calculations. [1] [2] [3] [4]
• examples/team_recommender/tests/test_proportions_ztest.py: Added new tests for the proportions_ztest function to check for statistical significance and improvements in success rates.

Contributors update:

• CONTRIBUTORS.md: Added Carl Jackson to the list of contributors.

Dependency update:

• pyproject.toml: Added statsmodels to the list of test dependencies.

[Copilot]

Pull Request Overview

This PR, titled "Cat math", updates several test cases related to success rate calculations and sample size estimations, while also adding a new contributor to the project.

• Updated test parameters and messages in team_recommender tests to refine the numerical boundaries.
• Added a new test suite for sample size functions and introduced an alternative implementation using a loop.
• Updated CONTRIBUTORS.md to include a new contributor.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
examples/team_recommender/tests/test_helpers.py	Updated test cases and added new tests for success rate and sample size calculations.
CONTRIBUTORS.md	Added a new contributor entry.

Comments suppressed due to low confidence (1)

examples/team_recommender/tests/test_helpers.py:118

• The test tuple uses a success rate value of 0.9997 (99.97%) while the accompanying message states 99.99%; please update one of these to ensure clarity and consistency.

(1, 50000, 0.9997, "99.99% success rate is below expected 97% success rate"),

[Copilot]

Pull Request Overview

This pull request, titled "Cat math", introduces additional tests for statistical functions related to proportions z-test calculations and augments helper functions for sample size estimation.

• Adds comprehensive tests to validate proportions z-test outcomes under various scenarios.
• Introduces helper functions for determining the next sample size along with corresponding tests.
• Updates dependency configuration (pyproject.toml) and contributors list.

Reviewed Changes

Copilot reviewed 5 out of 5 changed files in this pull request and generated 4 comments.

File	Description
examples/team_recommender/tests/test_proportions_ztest.py	Adds new tests for proportions z-test functionality with various statistical scenarios.
examples/team_recommender/tests/test_helpers.py	Introduces helper functions and tests related to sample size calculations.
CONTRIBUTORS.md	Updates contributors list by adding a new contributor.
pyproject.toml	Adds a new dependency required for statistical computations.

[carl]

🐻 approved