### Abstract

Conventional multiple types of perfluorocarbon tracers use the number of gases equal to the number of zones (n). The possible nxn+n airflows are solved from the mass balance of the gas and the airflow balance. However, some airflows may not occur because of the actual interzonal geometry, and the introduction of unnecessary, unknown parameters can impair the accuracy of the estimations. Also, various error factors often yield an irrational negative airflow rate. Conventional methods have insufficient procedure for the evaluation of error. This study describes a way to use the least-squares technique to improve the precision of estimates and to evaluate reliability. From the equations' residual the error variance and covariance matrix Λ _{q} of the estimated airflow rate error is deduced and also the coefficient of determinant using the residual square sum and total variation is introduced. Further the error matrix _{m}Λ _{q} caused by the measurement error of the gas concentration and gas emission rate is deduced. The discrepancy ratio of the model premise is defined by dividing the former diagonal elements by the latter ones. Moreover the index of irrationality of the estimated negative airflow rate is defined based on the difference of the three estimation methods results.

Original language | English |
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Title of host publication | IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment |

Pages | 169-176 |

Number of pages | 8 |

Volume | 3 |

Publication status | Published - 2007 |

Event | 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007 - Sendai Duration: 2007 Oct 28 → 2007 Oct 31 |

### Other

Other | 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007 |
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City | Sendai |

Period | 07/10/28 → 07/10/31 |

### Fingerprint

### Keywords

- Error analysis
- Least squares
- Multizonal airflow measurement
- Perfluorocarbon tracer gas

### ASJC Scopus subject areas

- Energy Engineering and Power Technology
- Renewable Energy, Sustainability and the Environment

### Cite this

*IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment*(Vol. 3, pp. 169-176)

**Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas.** / Okuyama, Hiroyasu; Onishi, Yoshinori; Tanabe, Shinichi; Kashihara, Seiichi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment.*vol. 3, pp. 169-176, 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007, Sendai, 07/10/28.

}

TY - GEN

T1 - Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas

AU - Okuyama, Hiroyasu

AU - Onishi, Yoshinori

AU - Tanabe, Shinichi

AU - Kashihara, Seiichi

PY - 2007

Y1 - 2007

N2 - Conventional multiple types of perfluorocarbon tracers use the number of gases equal to the number of zones (n). The possible nxn+n airflows are solved from the mass balance of the gas and the airflow balance. However, some airflows may not occur because of the actual interzonal geometry, and the introduction of unnecessary, unknown parameters can impair the accuracy of the estimations. Also, various error factors often yield an irrational negative airflow rate. Conventional methods have insufficient procedure for the evaluation of error. This study describes a way to use the least-squares technique to improve the precision of estimates and to evaluate reliability. From the equations' residual the error variance and covariance matrix Λ q of the estimated airflow rate error is deduced and also the coefficient of determinant using the residual square sum and total variation is introduced. Further the error matrix mΛ q caused by the measurement error of the gas concentration and gas emission rate is deduced. The discrepancy ratio of the model premise is defined by dividing the former diagonal elements by the latter ones. Moreover the index of irrationality of the estimated negative airflow rate is defined based on the difference of the three estimation methods results.

AB - Conventional multiple types of perfluorocarbon tracers use the number of gases equal to the number of zones (n). The possible nxn+n airflows are solved from the mass balance of the gas and the airflow balance. However, some airflows may not occur because of the actual interzonal geometry, and the introduction of unnecessary, unknown parameters can impair the accuracy of the estimations. Also, various error factors often yield an irrational negative airflow rate. Conventional methods have insufficient procedure for the evaluation of error. This study describes a way to use the least-squares technique to improve the precision of estimates and to evaluate reliability. From the equations' residual the error variance and covariance matrix Λ q of the estimated airflow rate error is deduced and also the coefficient of determinant using the residual square sum and total variation is introduced. Further the error matrix mΛ q caused by the measurement error of the gas concentration and gas emission rate is deduced. The discrepancy ratio of the model premise is defined by dividing the former diagonal elements by the latter ones. Moreover the index of irrationality of the estimated negative airflow rate is defined based on the difference of the three estimation methods results.

KW - Error analysis

KW - Least squares

KW - Multizonal airflow measurement

KW - Perfluorocarbon tracer gas

UR - http://www.scopus.com/inward/record.url?scp=84857478316&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857478316&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84857478316

SN - 9784861630729

VL - 3

SP - 169

EP - 176

BT - IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment

ER -