FOCAL8-69 AnalysisOfVarianc

This document describes FOCAL8-69: ANALYSIS OF VARIANCE, a program developed by Jerry D. Burns of Exotic Environments Laboratory, Arizona State University, and released on January 13, 1970. Written in FOCAL, the program is designed to solve and table the results of analysis of variance (ANOVA) problems.

Key features and operation:

• Purpose: Primarily for the two-factor completely randomized design, it can also evaluate one-factor or two-factor designs using an alternate program form. The output format is tailored for scientific publication.
• Ease of Use: Both input and output formats are designed for simplicity.
• Initialization: The program is initiated by typing "GO".
• Data Input: Users are prompted for "N" (number of entries per cell), "No. of Rows," and "No. of Columns." Data samples are then entered as (Row, Column) pairs. A one-factor analysis is performed if "1" is entered for either rows or columns.
• Calculations: The document lists the specific equations used for calculating the correction term (C), row variable (A), column variable (B), interaction (AB), total variance (T), and within-cells variance (S/AB).

• Restrictions:

  • Maximum input size is approximately 27 cells for Format One and 20 cells for Format Two.
  • The number of entries per cell ("N") is unlimited.
  • Output is formatted to seven significant digits with two decimal places, which may occasionally lead to a loss of accuracy but can be modified.

• Technical Note: Specific modifications to the FOCAL (DEC-08-AJAD-PB) system are required for optimal input and output display.

The document includes the FOCAL source code for two formats of the ANOVA program and provides examples of input data and the resulting analysis of variance tables.