Description Usage Arguments Value Note Author(s) References Examples
It provides the partition of the Marcotorchino's index and of the $C_M$-statistic, revised formula, under the Scenario 1 when probabilities are set homogeneous.
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X |
The three-way contingency table. |
pi |
The input parameter for specifying the theoretical probabilities of rows categories. When |
pj |
The input parameter for specifying the theoretical probabilities of columns categories. When |
pk |
The input parameter for specifying the theoretical probabilities of tube categories. When |
digits |
The minimum number of decimal places, |
Description of of the output returned
z |
The Marcotorchino's index partition under Scenario 1, we get seven terms partitioning the Marcotorchino's index and the revised $C_M$-statistic, three main terms, two bivariate terms and a trivariate term. The output is in a matrix, the six rows of this matrix indicate the tau index numerator, the tau index, the percentage of explained inertia, the revised $C_M$-statistic, the degree of freedom, the p-value, respectively. |
This function belongs to the class chi3class
.
Lombardo R, Takane Y and Beh EJ
Beh EJ and Lombardo R (2014) Correspondence Analysis: Theory, Practice and New Strategies. John Wiley & Sons.
Lancaster H O (1951) Complex contingency tables treated by the partition of the chi-square. Journal of Royal Statistical Society, Series B, 13, 242-249.
Loisel S and Takane Y (2015) Partitions of Pearson's chi-square statistic for frequency tables: A comprehensive account. Computational Statistics, 31, 1429-1452.
Lombardo R Carlier A D'Ambra L (1996) Nonsymmetric correspondence analysis for three-way contingency tables. Methodologica, 4, 59-80.
Marcotorchino F (1985) Utilisation des comparaisons par paires en statistique des contingencies: Partie III. Etude du Centre Scientifique, IBM, France. No F 081
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Loading required package: tools
$z
I J K IJ IK JK IJK M
Numerator 0.005 0.000 0.000 0.008 0.004 0.000 0.002 0.019
Index 0.005 0.000 0.000 0.008 0.004 0.000 0.002 0.019
% of Inertia 28.636 0.744 0.035 41.404 19.702 0.433 9.046 100.000
CS-statistic 20.515 0.533 0.025 29.662 14.115 0.310 6.481 71.640
df 5.000 2.000 1.000 10.000 5.000 2.000 10.000 35.000
p-value 0.001 0.766 0.875 0.001 0.015 0.856 0.773 0.000
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