Testing Simultaneous Marginal Homogeneity in Clustered Matched-Pair Multinomial Data

• Author / Creator

  Deng, Bo

• For matched-pair data with a multinomial reponse, the Stuart-Maxwell
  test (1955, 1970) and the Bhapkar test (1966) are commonly used to test the
  marginal homogeneity. However, in medical research, many studies for assess-
  ing safety consider multiple multinomial endpoints to detect the treatment ef-
  fects. To test the simultaneous marginal homogeneity (SMH) in such clustered
  matched-pair multinomial data, three overall tests are proposed. Furthermore,
  when the outcome is ordinal, three ordinal statistics which test SMH against
  stochastic ordering are proposed.
  To evaluate the performance of our methods, we generated a total of 5000
  clustered matched-pair data sets, considering number of endpoints = 2; 3; 4 and sample size ranging from 25 to 200. Then our methods are applied to these
  5000 datasets and the empirical size and power are compared. The simulation
  shows that the Score-type tests perform well with respect to nominal size and
  power even with small sample size. For ordinal endpoints, the ordinal statistic
  provides uniformly larger power than the one which does not utilize the ordinal
  feature.

• Subjects / Keywords

  • Multinomial
  • Match-Pair Data
  • Simultaneous Marginal Homogeneity

• Graduation date

  Spring 2015

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/R3QV3C973

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.