Hypotheses Of ‘No Interaction’ In Multi-dimensional Contingency Tables
TechnometricsPublished 1 February 1968
V. P. Bhapker, Gary G. Koch
Citations45
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.
TL;DR
The statistical analysis of multi-dimensional contingency tables is discussed from the point of view of the associated underlying model and different formulations of hypotheses of ‘no interaction’ are considered.
Abstract
Abstract The statistical analysis of multi-dimensional contingency tables is discussed from the point of view of the associated underlying model. Different formulations of hypotheses of 'no interaction' are considered. The corresponding test statistics are based on a general and computationally simple criterion originally due to Wald [1943]. The suggested methods are illustrated with several numerical examples.
Keywords
ChemistryMathematicsPsychology
Springer series in statisticsMeasures of Association for Cross Classifications
2,260 Citations1979Leo A. Goodman, William Kruskal
Transactions of the American Mathematical SocietyTests of statistical hypotheses concerning several parameters when the number of observations is large
2,259 Citations1943Abraham Wald
BiometricsHow to Use Ridit Analysis
638 Citations1958Irwin D. J. Bross
A ridit analysis of data from the Cornell Automotive Crash Injury Research Program (ACIR) will be presented to illustrate the various problems that come up in actual studies, problems ranging from difficulties due to peculiarities and imperfections of the basic data to questions of presentation and interpretation of the results.
The Annals of Mathematical StatisticsMaximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables
401 Citations1963I. J. Good
The Annals of Mathematical StatisticsSimultaneous Confidence Intervals for Contrasts Among Multinomial Populations
368 Citations1964Leo A. Goodman
Springer series in statisticsMeasures of Association for Cross Classifications III: Approximate Sampling Theory
300 Citations1979Leo A. Goodman, William Kruskal
Springer series in statisticsMeasures of Association for Cross Classifications. II: Further Discussion and References
264 Citations1979Leo A. Goodman, William Kruskal
Journal of the American Statistical AssociationMeasures of Association for Cross Classifications III: Approximate Sampling Theory
247 Citations1963Leo A. Goodman, William Kruskal
Journal of the American Statistical AssociationMeasures of Association for Cross Classifications. II: Further Discussion and References
228 Citations1959Leo A. Goodman, William Kruskal
Journal of the American Statistical AssociationA Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data
225 Citations1966V. P. Bhapkar
The Annals of Mathematical StatisticsThe Bayesian Analysis of Contingency Tables
170 Citations1964D. V. Lindley
The Annals of Mathematical StatisticsOn the Hypothesis of No "Interaction" In a Multi-way Contingency Table
120 Citations1956Sourav Roy, Marvin A. Kastenbaum
Journal of the Royal Statistical Society Series B (Statistical Methodology)Interactions in Multi-Factor Contingency Tables
113 Citations1962J. N. Darroch
Journal of the American Statistical AssociationSimple Methods for Analyzing Three-Factor Interaction in Contingency Tables
99 Citations1964Leo A. Goodman
Journal of the Royal Statistical Society Series B (Statistical Methodology)A Note on Interactions in Contingency Tables
94 Citations1962R. L. Plackett
The Annals of Mathematical StatisticsInteractions in Multidimensional Contingency Tables
73 Citations1964Leo A. Goodman
Journal of the Royal Statistical Society Series B (Statistical Methodology)On Plackett’s Test for Contingency Table Interactions
35 Citations1963Leo A. Goodman
American Journal of SociologyModifications of the Dorn-Stouffer-Tibbitts Method for "Testing the Significance of Comparisons in Sociological Data"
11 Citations1961Leo A. Goodman
Journal of the American Statistical AssociationOn Comparing Intensities of Association between Two Binary Characteristics in Two Different Populations
6 Citations1961Agnes Berger