README.md

---
license: cc-by-4.0
---

# Machine Learning for Two-Sample Testing under Right-Censored Data: A Simulation Study
- [Petr PHILONENKO](https://orcid.org/0000-0002-6295-4470), Ph.D. in Computer Science;
- [Sergey POSTOVALOV](https://orcid.org/0000-0003-3718-1936), D.Sc. in Computer Science.

# About
This dataset is a supplement to the [github repositiry](https://github.com/pfilonenko/ML_for_TwoSampleTesting) and paper addressed to solve the two-sample problem under right-censored observations using Machine Learning. 
The problem statement can be formualted as H0: S1(t)=S2(t) versus H: S1(t)≠S_2(t) where S1(t) and S2(t) are survival functions of samples X1 and X2.

This dataset contains the synthetic data simulated by the Monte Carlo method and Inverse Transform Sampling.

# Repository

This dataset has following structure:
~~~
data
├── 1_raw
│   └── two_sample_problem_dataset.tsv.gz
├── 2_samples
│   ├── sample_train.tsv.gz
│   └── sample_simulation.tsv.gz
└── 3_dataset_with_ML_pred
    └── dataset_with_ML_pred.tsv.gz
~~~

- **two_sample_problem_dataset.tsv.gz** is a raw simulated data. In the github repositiry, this file must be located in the **ML_for_TwoSampleTesting/proposed_ml_for_two_sample_testing
/data/1_raw/**;
- **sample_train.tsv.gz** and **sample_simulation.tsv.gz** are train and test samples splited from the **two_sample_problem_dataset.tsv.gz**. In the github repositiry, these files must be located in the **ML_for_TwoSampleTesting/proposed_ml_for_two_sample_testing/data/2_samples/**;
- **dataset_with_ML_pred.tsv.gz** is the test sample supplemented by the predictions of the proposed ML-methods. In the github repositiry, this file must be located in **ML_for_TwoSampleTesting/proposed_ml_for_two_sample_testing/data/3_dataset_with_ML_pred/**.

# Dataset & Samples
In these files there are following fields:
- **sample** is a sample type (train, val, test);
- **H0_H1** is a true hypothesis (H0 or H1);
- **Hi** is an alternative hypothesis (H01-H09, H11-H19, or H21-H29);
- **n1** is the size of sample 1;
- **n2** is the size of sample 2;
- **real_perc1** is an actual censoring rate of sample 1;
- **real_perc2** is an actual censoring rate of sample 2;
- **perc** is the set censoring rate for the samples 1 and 2;
- **Peto_test**, **Gehan_test**, **logrank_test**, **CoxMantel_test**, **BN_GPH_test**, **BN_MCE_test**, **BN_SCE_test**, **Q_test**, **MAX_Value_test**, **MIN3_test**, **WLg_logrank_test**, **WLg_TaroneWare_test**, **WLg_Breslow_test**, **WLg_PetoPrentice_test**, **WLg_Prentice_test**, **WKM_test** are test statistics of classical two-sample tests under right-censored data;
- **CatBoost_test**, **XGBoost_test**, **LightAutoML_test**, **SKLEARN_RF_test**, **SKLEARN_LogReg_test**, **SKLEARN_GB_test** are test statistics of the proposed ML-based methods.