
ASSOCIATION PLOTName:
where
This test statistic can also be formulated as
where
The d_{ij} are referred to as the standardized residuals and they show the contribution to the chisquare test statistic of each cell. The association plot is a graphical way of showing these standardized residuals. Specifically, the cells are laid out in a twoway grid and each cell is plotted with a rectangle where
For visual clarity, positive and negative standardized residuals are typically drawn in different colors.
where <y1> is the first response variable; <y2> is the second response variable; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax is used for the case where you have raw data (i.e., the data has not yet been cross tabulated into a twoway table).
where <m> is a matrix containing the twoway table; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax is used for the case where we the data have already been crosstabulated into a twoway contingency table.
where <n11> is a parameter containing the value for row 1, column 1 of a 2x2 table; <n12> is a parameter containing the value for row 1, column 2 of a 2x2 table; <n21> is a parameter containing the value for row 2, column 1 of a 2x2 table; and <n22> is a parameter containing the value for row 2, column 2 of a 2x2 table. This syntax is used for the special case where you have a 2x2 table. In this case, you can enter the 4 values directly, although you do need to be careful that the parameters are entered in the order expected above.
ASSOCIATION PLOT M ASSOCIATION PLOT N11 N12 N21 N22
Cohen (1980), "On the Graphical Display of the Significant Components in a TwoWay Contingency Table," Communications in StatisticsTheory and Methods, A9:10251041.
. Example from page 61 of Friendly read matrix m 5 29 14 16 15 54 14 10 20 84 17 94 68 119 26 7 end of data . label case asis tic mark label case asis title case asis title offset 2 . x3label title Association Plot y1label displacement 12 y1label Eye Color x1label Hair Color tic offset units data xlimits 1 4 major xtic mark number 4 minor xtic mark number 0 xtic mark offset 1 1 x1tic mark label format alpha x1tic mark label content Black Brown Red Blond ylimits 1 4 major ytic mark number 4 minor ytic mark number 0 ytic mark offset 1 1 y1tic mark label format alpha y1tic mark label content Green Hazel Blue Brown y1tic mark label justification right . line solid region fill color blue green . association plot m
 
Date created: 07/25/2007 Last updated: 12/01/2023 Please email comments on this WWW page to alan.heckert@nist.gov. 