Analysis of Variance: Selection of a Model and Summary Statistics

Abstract

The topics of this paper are models for the analysis of variance (ANOVA) (fixed, random, or mixed models) and the subsequent summary statistics (F ratio, quasi-F ratio, and magnitude of treatment effect) that may be computed following the ANOVA. ANOVA is a useful method for assessing the statistical significance of treatment effects. But the significance of an effect is a function of two decisions. The first decision is the selection of a model and an appropriate sampling plan for elements within each of the treatment factors. The second decision is the choice of summary statistics that indicate the extent of significance achieved. In this paper, comparisons will be made between models and between summary statistics. Specific issues will be clarified concerning the interpretation of results when various models and summary statistics are used on the same set of data.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA077965

Entities

People

  • Frederick H. Steinheiser Jr.
  • Kenneth I. Epstein

Organizations

  • U.S. Army Research Institute for the Behavioral and Social Sciences

Tags

Communities of Interest

  • Counter IED
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Behavioral Research
  • Computer Simulations
  • Data Science
  • Experimental Design
  • Information Science
  • Military Police
  • Military Research
  • Observation
  • Probability
  • Sampling
  • Simulations
  • Social Sciences
  • Statistical Samples
  • Statistics
  • Training

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Computational Modeling and Simulation
  • Psychological Intervention/Treatment for Stress, Anxiety, PTSD, and Related Emotional and Cognitive Health Symptoms.