Date of Award:
5-1982
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Applied Statistics
Committee Chair(s)
David White
Committee
David White
Committee
Ronald V. Canfield
Committee
Gregory W. Jones
Abstract
The purpose of this paper is to compare Analysis of Variance with Contingency Table Analysis when the data being analyzed do not satisfy Analysis of Variance assumptions. The criteria for comparison are the powers of the Standard variance-ratio and the Chi-square test.
The test statistic and powers were obtained by Monte Carlo.
1. Calculate test statistic for each of 100 trials, this process was repeated 12 times. Each time different combination of means and variances were used.
2. Powers were obtained for each of 12 combinations of means and variances.
Whether Analysis of Variance or Contingency Table Analysis is a better alternative depends on if we are interested in equality of population means or differences of population variances.
Checksum
da414b060b45ccceeed7a3268d9a7084
Recommended Citation
Chiu, Mei-Eing, "The Use of Contingency Table Analysis as a Robust Technique for Analysis of Variance" (1982). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6942.
https://digitalcommons.usu.edu/etd/6942
Included in
Copyright for this work is retained by the student. If you have any questions regarding the inclusion of this work in the Digital Commons, please email us at .