<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Statistical analysis starts with the assessment of the distribution of experimental data. Different statistics are used to test the null hypothesis (H0) stated as Data follow a certain/specified distribution. In this paper, a new test based on Shannon’s entropy (called Shannon’s entropy statistic, H1) is introduced as goodness-of-fit test. The performance of the Shannon’s entropy statistic was tested on simulated and/or experimental data with uniform and respectively four continuous distributions (as error function, generalized extreme value, lognormal, and normal). The experimental data used in the assessment were properties or activities of active chemical compounds. Five known goodness-of-fit tests namely Anderson-Darling, Kolmogorov-Smirnov, Cramér-von Mises, Kuiper V, and Watson U2 were used to accompany and assess the performances of H1. </p></abstract>

Statistical analysis starts with the assessment of the distribution of experimental data. Different statistics are used to test the null hypothesis (H0) stated as Data follow a certain/specified distribution. In this paper, a new test based on Shannon’s entropy (called Shannon’s entropy statistic, H1) is introduced as goodness-of-fit test. The performance of the Shannon’s entropy statistic was tested on simulated and/or experimental data with uniform and respectively four continuous distributions (as error function, generalized extreme value, lognormal, and normal). The experimental data used in the assessment were properties or activities of active chemical compounds. Five known goodness-of-fit tests namely Anderson-Darling, Kolmogorov-Smirnov, Cramér-von Mises, Kuiper V, and Watson U2 were used to accompany and assess the performances of H1.

Performances of Shannon’s Entropy Statistic in Assessment of Distribution of Data

Ovidius University Annals of Chemistry

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Statistical analysis starts with the assessment of the distribution of experimental data. Different statistics are used to test the null hypothesis (H0) stated...

Performances of Shannon’s Entropy Statistic in Assessment of Distribution of Data

Online veröffentlicht: 20. Sept. 2017

Seitenbereich: 30 - 42

Eingereicht: 13. Juni 2017

Akzeptiert: 26. Juli 2017

DOI: https://doi.org/10.1515/auoc-2017-0006

Schlüsselwörter
Shannon’s entropy, statistic, continuous distribution, tests of goodness-of-fit

© Ovidius University Press

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Performances of Shannon’s Entropy Statistic in Assessment of Distribution of Data

Online veröffentlicht: 20. Sept. 2017

Seitenbereich: 30 - 42

Eingereicht: 13. Juni 2017

Akzeptiert: 26. Juli 2017

DOI: https://doi.org/10.1515/auoc-2017-0006

SchlüsselwörterShannon’s entropy, statistic, continuous distribution, tests of goodness-of-fit

© Ovidius University Press

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Schlüsselwörter
Shannon’s entropy, statistic, continuous distribution, tests of goodness-of-fit