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单词 ContingencyTable
释义

contingency table


Given a random sample of N observations 𝐙i=(Yi,Xi1,,Xik) where

  1. 1.

    the response variables Yi are identically distributed as Y

  2. 2.

    Y is categorical in nature (coming from a multinomial distributionMathworldPlanetmath)

  3. 3.

    each of the explanatory variables Xij is categorical in nature

Then we can analyze the data by forming a contingency tableMathworldPlanetmath. The table is customarily formed by labeling the categories for the response across the top, and then the combinationsMathworldPlanetmathPlanetmath of the levels for each explanatory variable down the left-most columns. Then the cells are filled with counts or frequencies of occurrences corresponding to the specific explanatory variable level combination to the left and the response to the top.

The simplest example of a contingency table is where the response variable Y comes from a binomial distribution (with two possible responses r1 and r2) and there is only one explanatory variable X, which has only two levels, A1 and A2. This is an instance of a 2 way contingency table:

Titlecontingency table
Canonical nameContingencyTable
Date of creation2013-03-22 14:32:53
Last modified on2013-03-22 14:32:53
OwnerCWoo (3771)
Last modified byCWoo (3771)
Numerical id11
AuthorCWoo (3771)
Entry typeDefinition
Classificationmsc 62H17
\\@unrecurse
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更新时间:2025/5/4 12:49:55