### Abstract

In many relevant situations, such as in medical research, sample sizes may not be previously known. We extend ANOVA to those situations starting with one-way and then the general orthogonal situation. Sample sizes will be assumed to be random.

Original language | English |
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Title of host publication | Recent Researches in Applied Mathematics, Simulation and Modelling - Proceedings of the 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11 |

Pages | 84-90 |

Number of pages | 7 |

Publication status | Published - 29 Nov 2011 |

Event | 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11 - Corfu Island, Greece Duration: 14 Jul 2011 → 16 Jul 2011 |

### Publication series

Name | International Conference on Applied Mathematics, Simulation, Modelling - Proceedings |
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ISSN (Print) | 1792-4332 |

### Conference

Conference | 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11 |
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Country | Greece |

City | Corfu Island |

Period | 14/07/11 → 16/07/11 |

### Keywords

- Critical values
- Optimal properties
- Orthogonal ANOVA
- Random degrees of freedom
- Random sample sizes

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## Cite this

Mexia, J. T., Nunes, C., Ferreira, D., Ferreira, S. S., & Moreira, E. (2011). Orthogonal fixed effects ANOVA with random sample sizes. In

*Recent Researches in Applied Mathematics, Simulation and Modelling - Proceedings of the 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11*(pp. 84-90). (International Conference on Applied Mathematics, Simulation, Modelling - Proceedings).