### Abstract

We consider the exact likelihood ratio test of independence conditioned on row and column margins in an r × c contingency table with multinomial sampling. We develop an update algorithm to compute the exact P-value of the test and show it is better than the network algorithm in terms of computing speed. In the algorithm the P-value is reduced to a sum of probabilities for 2 × 2 contingency tables, which we compute using the hypergeometric distribution. The same algorithm can also be used for testing homogeneity of independent multinomial populations.

Original language | English |
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Pages (from-to) | 201-215 |

Number of pages | 15 |

Journal | Journal of Statistical Computation and Simulation |

Volume | 63 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1999 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Modelling and Simulation
- Statistics, Probability and Uncertainty
- Applied Mathematics

### Cite this

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*Journal of Statistical Computation and Simulation*, vol. 63, no. 3, pp. 201-215. https://doi.org/10.1080/00949659908811953

**Updating exact P-values for the conditional likelihood ratio test of independence.** / Kang, Seung Ho; Klotz, Jerome H.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Updating exact P-values for the conditional likelihood ratio test of independence

AU - Kang, Seung Ho

AU - Klotz, Jerome H.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We consider the exact likelihood ratio test of independence conditioned on row and column margins in an r × c contingency table with multinomial sampling. We develop an update algorithm to compute the exact P-value of the test and show it is better than the network algorithm in terms of computing speed. In the algorithm the P-value is reduced to a sum of probabilities for 2 × 2 contingency tables, which we compute using the hypergeometric distribution. The same algorithm can also be used for testing homogeneity of independent multinomial populations.

AB - We consider the exact likelihood ratio test of independence conditioned on row and column margins in an r × c contingency table with multinomial sampling. We develop an update algorithm to compute the exact P-value of the test and show it is better than the network algorithm in terms of computing speed. In the algorithm the P-value is reduced to a sum of probabilities for 2 × 2 contingency tables, which we compute using the hypergeometric distribution. The same algorithm can also be used for testing homogeneity of independent multinomial populations.

UR - http://www.scopus.com/inward/record.url?scp=0033240795&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033240795&partnerID=8YFLogxK

U2 - 10.1080/00949659908811953

DO - 10.1080/00949659908811953

M3 - Article

VL - 63

SP - 201

EP - 215

JO - Journal of Statistical Computation and Simulation

JF - Journal of Statistical Computation and Simulation

SN - 0094-9655

IS - 3

ER -