### Abstract

Experiments usually aim to study how changes in various factors affect the response variable of interest. Since the response model used most often at present in experimental design is expressed through the effect of each factor, it is straightforward to ascertain how each factor affects the response variable. However, since the response model contains redundant parameters, we must calculate the degrees of freedom defined by the number of independent parameters in the analysis of variance. In this paper, we show that through a description of experimental design based on an orthonormal system, the response model can be expressed using only independent parameters. Hence, we do not have to calculate the degrees of freedom defined by the number of independent parameters.

Original language | English |
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Title of host publication | 2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Conference Digest |

Pages | 2181-2185 |

Number of pages | 5 |

DOIs | |

Publication status | Published - 2011 Dec 23 |

Event | 2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Anchorage, AK, United States Duration: 2011 Oct 9 → 2011 Oct 12 |

### Publication series

Name | Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics |
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ISSN (Print) | 1062-922X |

### Other

Other | 2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 |
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Country | United States |

City | Anchorage, AK |

Period | 11/10/9 → 11/10/12 |

### Fingerprint

### Keywords

- Fourier transform
- analysis of variance
- mean square
- sum of squares

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Control and Systems Engineering
- Human-Computer Interaction

### Cite this

*2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Conference Digest*(pp. 2181-2185). [6084000] (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). https://doi.org/10.1109/ICSMC.2011.6084000