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Cálculos Estatísticos em PHP

Esta é uma classe em PHP que contém funções que implementam alguns cálculos estatísticos. Os algoritmos que representam as fórmulas estatísticas estão escritos em uma estrutura simples e semelhante a aplicação pura das respectivas fórmulas, para deixar o código o mais limpo possível, e assim, didático.

Até o momento, estas são algumas das fórmulas estatísticas que estão implementadas:

Media1

Media2

Media3

Dispersao1

Dispersao2

Dispersao3

Dispersao4

Dispersao5

Obs.: As funções possuem versões para dados agrupados ou não agrupados e para dados amostrais ou populacionais. Esta classe não utiliza a extensão PECL "stats" pois a ideia é demonstrar os algoritmos.

Referências:

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  • ANDERSON, D. R.; SWEENEY, D. J.; WILLIAMS, T. A. Essentials of Statistics for Business and Economics, 5th Edition. Thomson South-Western, 2009.

  • ANDERSON, D. R.; SWEENEY, D. J.; WILLIAMS, T. A. Statistics for Business and Economics, 11th Edition. South-Western, Cengage Learning, 2011.

  • BLUMAN, A. G. Elementary Statistics: A Step By Step Approach, 10th Edition. McGraw-Hill, 2018.

  • BONAMENTE, M. Statistics and Analysis of Scientific Data, 2nd Edition. Springer Science Business Media, 2017.

  • BOSLAUGH, S.; WATTERS, P. A. Statistics in a Nutshell, 1st Edition. O'Reilly, 2008.

  • BRUCE, P.; BRUCE, A.; GEDECK, P. Practical Statistics for Data Scientists, 2nd Edition. O'Reilly Media, 2020.

  • DANGETI, P. Statistics for Machine Learning. Packt Publishing, 2017.

  • DEVORE, J. L. Probability and Statistics for Engineering and the Sciences, 9th Edition. Cengage Learning, 2016.

  • EMC Education Services. Data Science & Big Data Analytics: Discovering, Analyzing, Visualizing and Presenting Data. John Wiley & Sons, 2015.

  • FORSYTH, D. Probability and Statistics for Computer Science. Springer International Publishing, 2018.

  • FREEDMAN, D.; PISANI, R.; PURVES. R. Statistics, 4th Edition. W. W. Norton & Company, 2007.

  • FREUND, R. J.; WILSON, W. J. Statistical Methods, 2nd Edition. Academic Press, 2003.

  • HEUMANN, C.; SCHOMAKER, M.; SHALABH. Introduction to Statistics and Data Analysis. Springer International Publishing Switzerland, 2016.

  • HOGG, R. V.; MCKEAN, J. W.; CRAIG, A. T. Introduction to Mathematical Statistics, 8th Edition. Pearson Education, 2019.

  • JOHNSON, R.; KUBY, P. Elementary Statistics, 11th edition. Brooks/Cole, Cengage Learning, 2012.

  • KOTZ, S.; READ, C. B.; BALAKRISHNAN, N.; VIDAKOVIC, B. Encyclopedia of Statistical Sciences, 2nd Edition, Vol 1-16. John Wiley & Sons, 2005.

  • MARTIN, B. R. Statistics for Physical Sciences, An Introduction, 1st Edition. Elsevier, 2012.

  • MENDENHALL, W.; BEAVER, R. J.; BEAVER, B. M. Introduction to Probability and Statistics, 13th Edition. Brooks/Cole, Cengage Learning, 2009.

  • MENDENHALL, W. M.; SINCICH, T. L. Statistics for Engineering and the Sciences, 6th Edition. CRC Press, Taylor & Francis Group, 2016.

  • MONTGOMERY, D. C.; RUNGER, G. C. Applied Statistics and Probability for Engineers, 3rd Edition. John Wiley & Sons, 2003.

  • NISBET, R.; MINER, G.; YALE, K. Handbook of Statistical Analysis and Data Mining Applications, 2nd Edition. Academic Press, Elsevier, 2018.

  • OZDEMIR, S. Principles of Data Science: Learn the techniques and math you need to start making sense of your data. Packt Publishing, 2016.

  • PECK, R.; DEVORE, J. L. Statistics: The Exploration and Analysis of Data, 7th Edition. Brooks/Cole, Cengage Learning, 2012.

  • PECK, R.; OLSEN, C.; DEVORE, J. L. Introduction to Statistics and Data Analysis, 4th Edition. Brooks/Cole, Cengage Learning, 2012.

  • PROVOST, F.; FAWCETT, T. Data Science for Business, 1st Edition. O'Reilly Media, 2013.

  • RASCH, D.; SCHOTT, D. Mathematical Statistics. John Wiley & Sons, 2018.

  • SALKIND, N. J. Encyclopedia of Measurement and Statistics, Vol 1-3. SAGE Publications, 2007.

  • SKIENA, S. S. The Data Science Design Manual. Texts in Computer Science. Springer International Publishing, 2017.

  • SPIEGEL, M. R.; STEPHENS, L. J. Schaum's Outline of Statistics, 6th Edition. McGraw-Hill Education, 2018.

  • WALPOLE, R. E.; MYERS, R. H.; MYERS, S. L.; YE, K. Probability & Statistics for Engineers & Scientists, 9th Edition, Global Edition. Pearson Education Limited, 2016.

  • WEIERS, R. M. Introduction to Business Statistics, 6th Edition. Thomson South-Western, 2008.

  • WITTE, R. S.; WITTE, J. S. Statistics, 11th Edition. John Wiley & Sons, 2017.

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