# Accession Number:

## AD0683028

# Title:

## SEQUENCES OF FRACTIONAL FACTORIAL PLANS.

# Descriptive Note:

## Final technical rept. Oct 67-Oct 68,

# Corporate Author:

## STATE UNIV OF NEW YORK ALBANY RESEARCH FOUNDATION

# Personal Author(s):

# Report Date:

## 1968-11-01

# Pagination or Media Count:

## 123.0

# Abstract:

The report begins with the rationale underlying the performance of an experiment as a sequence of blocks and analyzing the data after each block has been observed. A description is given of several procedures for augmenting one-factor-at-a-time plans, some of which permit the estimation of interaction effects. The general procedure for obtaining orthogonal resolution IV plans as a sequence of two orthogonal main-effect plans is outlined. Consideration is given to adding small numbers of treatment combinations to resolution IV plans in order to obtain some information on a relatively few two-factor interaction effects. The remainder of the report deals with sequences of three or more fractional factorial plans involving from three to seventeen two-level factors. A summary of the properties of each sequence is presented. This summary contains the following information at each stage of every sequence 1 The number of estimable main effects, 2 the number of estimable two-factor interaction effects, 3 the variance of the estimate of the mean, 4 the average variance of the estimable main effects, 5 the average variance of the estimable two-factor interaction effects, and 6 the average variance of the estimable main and two-factor interaction effects. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability