Partitioning of Chi-Square, Analysis of Marginal Contingency Tables, and Estimation of Expected Frequencies in Multidimensional Contingency Tables

摘要: Abstract A step-by-step method is presented herein for partitioning a certain kind of hypothesis H about the m-way contingency table into (a) series hypotheses marginal tables formed from by ignoring one or more table's m dimensions; and (b) independence, conditional equiprobability in table. This facilitates both testing calculation , estimated expected frequencies under H. The introduced calculating easier to apply than usual iterative-scaling many cases.