# Accession Number:

## AD0750725

# Title:

## A Method for Separation of Residual and Inetraction Effects in Cross Classifications.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1972-09-01

# Pagination or Media Count:

## 12.0

# Abstract:

Consider a two-way cross-classification with factors R rows and C columns at r, c levels respectively and suppose that the expected value of an observation at the i-th level of R and the j-th level of C is represented in the form epsilon roh sub i kappa sub j rho kappa sub ij. The last term represents the interaction effect between R and C, usually denoted in the abbreviated form RxC. Variability about this expected value is represented by addition of a random variable with zero expected value. It is usually assumed that these random variables are mutually independent and have a common variance. If there is only one observation for each of the rc combinations of levels of R and C it is not possible to estimate the common variance separately from the interaction effects. author

# Descriptors:

# Subject Categories:

- Statistics and Probability