### Abstract

This paper is concerned with the statistical analysis of situations where the experimental units are clusters of subjects, each of whom is classified with respect to the presence of a particular (binary response) attribute. For this purpose, the clumped binomial probability model is used to define an underlying mean rate parameter in terms of which the effects of certain treatments as well as cluster size itself can be investigated. The resulting methodology involves a synthesis of certain maximum likelihood and weighted least squares procedures; it is illustrated for a three dimensional contingency table pertaining to numbers of deaths in litters of baby mice.

Original language | English (US) |
---|---|

Pages (from-to) | 337-354 |

Number of pages | 18 |

Journal | Biometrics |

Volume | 32 |

Issue number | 2 |

State | Published - 1976 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Agricultural and Biological Sciences(all)
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics
- Statistics and Probability
- Public Health, Environmental and Occupational Health

### Cite this

*Biometrics*,

*32*(2), 337-354.

**An application of the clumped binomial model to the analysis of clustered attribute data.** / Koch, G. G.; Tolley, H. D.; Freeman, J. L.

Research output: Contribution to journal › Article

*Biometrics*, vol. 32, no. 2, pp. 337-354.

}

TY - JOUR

T1 - An application of the clumped binomial model to the analysis of clustered attribute data

AU - Koch, G. G.

AU - Tolley, H. D.

AU - Freeman, J. L.

PY - 1976

Y1 - 1976

N2 - This paper is concerned with the statistical analysis of situations where the experimental units are clusters of subjects, each of whom is classified with respect to the presence of a particular (binary response) attribute. For this purpose, the clumped binomial probability model is used to define an underlying mean rate parameter in terms of which the effects of certain treatments as well as cluster size itself can be investigated. The resulting methodology involves a synthesis of certain maximum likelihood and weighted least squares procedures; it is illustrated for a three dimensional contingency table pertaining to numbers of deaths in litters of baby mice.

AB - This paper is concerned with the statistical analysis of situations where the experimental units are clusters of subjects, each of whom is classified with respect to the presence of a particular (binary response) attribute. For this purpose, the clumped binomial probability model is used to define an underlying mean rate parameter in terms of which the effects of certain treatments as well as cluster size itself can be investigated. The resulting methodology involves a synthesis of certain maximum likelihood and weighted least squares procedures; it is illustrated for a three dimensional contingency table pertaining to numbers of deaths in litters of baby mice.

UR - http://www.scopus.com/inward/record.url?scp=0017175443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017175443&partnerID=8YFLogxK

M3 - Article

C2 - 986196

AN - SCOPUS:0017175443

VL - 32

SP - 337

EP - 354

JO - Biometrics

JF - Biometrics

SN - 0006-341X

IS - 2

ER -