On Analyzing Two-Way AoV Data with interaction
TechnometricsPublished 1 August 1976
Victor Hegemann, Dallas E. Johnson
Citations49
SJR quartileQ1
SJR score1.41
SNIP1.93
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
The analysis of two-way layout data with interaction and one observation pereell for the model is discussed. approximate one-sided confidence intervales for the error variance re given and many new tables of eritical values are presented in order to test for treatment effects. Also presented are eritical points for testing θ2 = 0 he model.
Keywords
Mathematics
The Annals of Mathematical StatisticsDistributions of Matrix Variates and Latent Roots Derived from Normal Samples
1,384 Citations1964A. T. James
Journal of the American Statistical AssociationDesign and Analysis of Industrial Experiments.
937 Citations1955H. A. Freeman, O. L. Davies +6 more
PsychometrikaA Statistical Model which Combines Features of Factor Analytic and Analysis of Variance Techniques
596 Citations1968Harry F. Gollob
A method of matrix decomposition is described which retains the ability of factor analytic techniques to summarize data in terms of a relatively low number of coordinates; but at the same time does not sacrifice the useful analysis of variance heuristic of partitioning data matrices into independent sources of variation which are relatively simple to interpret.
TechnometricsA New Analysis of Variance Model for Non-additive Data
334 Citations1971John Mandel
All advantage of the additive model will be lost, unless one can again partition the non-random portion of n7.i into functions of only one variable each.
Journal of the American Statistical AssociationAn Analysis of a Two-Way Model with Interaction and No Replication
208 Citations1972Dallas E. Johnson, Franklin A. Graybill
Statistica Neerlandica“Design and analysis of industrial experiments”*
125 Citations1955O. L. Davies, F. J. van Dun En +1 more
This paper is based on a lecture on the “Design and Analysis of Industrial Experiments” given by Dr O. L. Davies on the 8th of May 1954 and the recent designs developed by Box for the exploration of response surfaces are briefly considered.
Journal of the American Statistical AssociationAn Analysis of a Two-Way Model with Interaction and No Replication
57 Citations1972Dallas E. Johnson, Franklin A. Graybill
BiometrikaPercentage points of the extreme roots of a Wishart matrix
48 Citations1968R. Choudary Hanumara, William A. Thompson
Communications in StatisticsProcedures to generate random matrices with noncentral distributions
10 Citations1974Dallas E. Johnson, Victor Hegemann
