### Abstract

Statistical error caused by sample size (i.e. number of sample particles) has been studied by use of a computer simulation. Simulated results were compared with the theoretical equation in which a log-normal size distribution was assumed. The theory gave general analytical solutions for the distribution of sample mean diameter and the number of particles required to achieve a measurement within a certain error under a given confidence level. The computer simulation confirmed the theory. Therefore, the error caused by an inadequate number of sample particles or number of particles required in a measurement can be analytically estimated. It was also found that the number of particles required is reduced by both the evaluation basis and the assigned admissible error. However, fairly large numbers of particles are required for precise measurement.

Original language | English |
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Pages (from-to) | 159-173 |

Number of pages | 15 |

Journal | Advanced Powder Technology |

Volume | 10 |

Issue number | 2 |

Publication status | Published - 1999 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Chemical Engineering(all)

### Cite this

*Advanced Powder Technology*,

*10*(2), 159-173.

**Study on the sample size required for the estimation of mean particle diameter.** / Masuda, Hiroaki; Gotoh, Kuniaki.

Research output: Contribution to journal › Article

*Advanced Powder Technology*, vol. 10, no. 2, pp. 159-173.

}

TY - JOUR

T1 - Study on the sample size required for the estimation of mean particle diameter

AU - Masuda, Hiroaki

AU - Gotoh, Kuniaki

PY - 1999

Y1 - 1999

N2 - Statistical error caused by sample size (i.e. number of sample particles) has been studied by use of a computer simulation. Simulated results were compared with the theoretical equation in which a log-normal size distribution was assumed. The theory gave general analytical solutions for the distribution of sample mean diameter and the number of particles required to achieve a measurement within a certain error under a given confidence level. The computer simulation confirmed the theory. Therefore, the error caused by an inadequate number of sample particles or number of particles required in a measurement can be analytically estimated. It was also found that the number of particles required is reduced by both the evaluation basis and the assigned admissible error. However, fairly large numbers of particles are required for precise measurement.

AB - Statistical error caused by sample size (i.e. number of sample particles) has been studied by use of a computer simulation. Simulated results were compared with the theoretical equation in which a log-normal size distribution was assumed. The theory gave general analytical solutions for the distribution of sample mean diameter and the number of particles required to achieve a measurement within a certain error under a given confidence level. The computer simulation confirmed the theory. Therefore, the error caused by an inadequate number of sample particles or number of particles required in a measurement can be analytically estimated. It was also found that the number of particles required is reduced by both the evaluation basis and the assigned admissible error. However, fairly large numbers of particles are required for precise measurement.

UR - http://www.scopus.com/inward/record.url?scp=0032647859&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032647859&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032647859

VL - 10

SP - 159

EP - 173

JO - Advanced Powder Technology

JF - Advanced Powder Technology

SN - 0921-8831

IS - 2

ER -