### Abstract

We have established a cumulative sum (CUSUM) test for a peri-stimulus time histogram (PSTH) for the case where a conditioning stimulus is delivered at a fixed interval after previous discharge of a motor unit. (We refer to this kind of PSTH as an 'arranged PSTH'). Expectations of the firing probability after the conditioning stimulus vary among the bins in this arranged PSTH, while the expectations among the bins are all the same in the original PSTH; thus, we could not apply conventional tests for statistical analysis. We, therefore, propose a novel CUSUM test that uses the Monte Carlo method. With this method, the range of the statistical scattering noise on a CUSUM is computationally found by simulating the statistical process in order to calculate the confidence interval. We verified this CUSUM test using both simulated and actual experiments. This paper presents the procedure for performing this new method, along with an example of its application.

Original language | English |
---|---|

Pages (from-to) | 207-214 |

Number of pages | 8 |

Journal | Journal of Neuroscience Methods |

Volume | 118 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2002 Aug 30 |

### Fingerprint

### Keywords

- CUSUM test
- Electro-physiology
- Monte Carlo method
- Moving average method
- Peri-stimulus time histogram
- Statistics

### ASJC Scopus subject areas

- Neuroscience(all)

### Cite this

*Journal of Neuroscience Methods*,

*118*(2), 207-214. https://doi.org/10.1016/S0165-0270(02)00145-0

**A cumulative sum test for a peri-stimulus time histogram using the Monte Carlo method.** / Ushiba, Junichi; Tomita, Yutaka; Masakado, Yoshihisa; Komune, Yoko.

Research output: Contribution to journal › Article

*Journal of Neuroscience Methods*, vol. 118, no. 2, pp. 207-214. https://doi.org/10.1016/S0165-0270(02)00145-0

}

TY - JOUR

T1 - A cumulative sum test for a peri-stimulus time histogram using the Monte Carlo method

AU - Ushiba, Junichi

AU - Tomita, Yutaka

AU - Masakado, Yoshihisa

AU - Komune, Yoko

PY - 2002/8/30

Y1 - 2002/8/30

N2 - We have established a cumulative sum (CUSUM) test for a peri-stimulus time histogram (PSTH) for the case where a conditioning stimulus is delivered at a fixed interval after previous discharge of a motor unit. (We refer to this kind of PSTH as an 'arranged PSTH'). Expectations of the firing probability after the conditioning stimulus vary among the bins in this arranged PSTH, while the expectations among the bins are all the same in the original PSTH; thus, we could not apply conventional tests for statistical analysis. We, therefore, propose a novel CUSUM test that uses the Monte Carlo method. With this method, the range of the statistical scattering noise on a CUSUM is computationally found by simulating the statistical process in order to calculate the confidence interval. We verified this CUSUM test using both simulated and actual experiments. This paper presents the procedure for performing this new method, along with an example of its application.

AB - We have established a cumulative sum (CUSUM) test for a peri-stimulus time histogram (PSTH) for the case where a conditioning stimulus is delivered at a fixed interval after previous discharge of a motor unit. (We refer to this kind of PSTH as an 'arranged PSTH'). Expectations of the firing probability after the conditioning stimulus vary among the bins in this arranged PSTH, while the expectations among the bins are all the same in the original PSTH; thus, we could not apply conventional tests for statistical analysis. We, therefore, propose a novel CUSUM test that uses the Monte Carlo method. With this method, the range of the statistical scattering noise on a CUSUM is computationally found by simulating the statistical process in order to calculate the confidence interval. We verified this CUSUM test using both simulated and actual experiments. This paper presents the procedure for performing this new method, along with an example of its application.

KW - CUSUM test

KW - Electro-physiology

KW - Monte Carlo method

KW - Moving average method

KW - Peri-stimulus time histogram

KW - Statistics

UR - http://www.scopus.com/inward/record.url?scp=0037200724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037200724&partnerID=8YFLogxK

U2 - 10.1016/S0165-0270(02)00145-0

DO - 10.1016/S0165-0270(02)00145-0

M3 - Article

C2 - 12204311

AN - SCOPUS:0037200724

VL - 118

SP - 207

EP - 214

JO - Journal of Neuroscience Methods

JF - Journal of Neuroscience Methods

SN - 0165-0270

IS - 2

ER -