scholarly journals Two-Dimensional Measure Vector of Departure from Marginal Homogeneity in Square Contingency Tables

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Shuji Ando ◽  
◽  
Takashi Takeuchi ◽  
Kiyotaka Iki ◽  
Sadao Tomizawa ◽  
...  
Keyword(s):  
Contingency Tables ◽  
Two Dimensional ◽  
Marginal Homogeneity ◽  
Dimensional Measure

A Decomposition of the Marginal Homogeneity Model for Square Contingency Tables with Ordered Categories

1993 ◽  
Vol 43 (1-2) ◽  
pp. 123-126 ◽  
Author(s):  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Short Note ◽  
Monotonic Function ◽  
Ordered Categories ◽  
Marginal Homogeneity ◽  
Statist Assoc

For square contingency tables, with ordered categories, this short note decomposes the marginal homogeneity (MH) model into an extended MH model and the model of equality of expectation of monotonic function of row and column variables. This decomposition is a generalization of the decomposition of the MH model which was earlier considered by Tomizawa (1991, Cal. Statist. Assoc. Bull., 41, 201-207).

On the right lower circular density of two-dimensional Jordan curves in the plane

1968 ◽  
Vol 64 (1) ◽  
pp. 67-70
Author(s):  
D. G. Larman
Keyword(s):  
Jordan Curve ◽  
Two Dimensional ◽  
End Points ◽  
Jordan Curves ◽  
End Point ◽  
Dimensional Measure ◽  
Image Position ◽  
The Right

We use J(a, b) to denote a Jordan curve of positive two-dimensional measure in the plane, with end-points a and b. If υ is a point of J(a, b), we define the right lower arc density at υ bywhere J( υ, υ′) is the largest arc, whose left-end point is υ, which is contained in the disc c(υ, r).

Sign in / Sign up

Export Citation Format

Share Document