Monotone Bounds on the Chi-Squared Approximation to the Distribution of Pearson's X Squared Statistics.
Abstract
Monotone bounds, depending on the underlying multinomial probabilities and the sample size, are given for the chi-squared approximation to the distribution of Pearson's statistic for goodness of fit for simple hypotheses. These bounds apply to the distribution of a single statistic and to the joint distribution of two statistics associated with the margins of a two-way table, in both the central and noncentral cases.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 15, 1973
- Accession Number
- AD0767345
Entities
People
- Donald R. Jensen
Organizations
- Virginia Tech