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Confusion matrix; Pivot table, in spreadsheet software, cross-tabulates sampling data with counts (contingency table) and/or sums. TPL Tables is a tool for generating and printing crosstabs. The iterative proportional fitting procedure essentially manipulates contingency tables to match altered joint distributions or marginal sums.
For hand calculations, the test is feasible only in the case of a 2 × 2 contingency table. However the principle of the test can be extended to the general case of an m × n table, [9] [10] and some statistical packages provide a calculation (sometimes using a Monte Carlo method to obtain an approximation) for the more general case. [11]
The effect of Yates's correction is to prevent overestimation of statistical significance for small data. This formula is chiefly used when at least one cell of the table has an expected count smaller than 5. = = The following is Yates's corrected version of Pearson's chi-squared statistics:
For , and matrices of size the two methods produces the same transformed table provided ranks the contingency tables the same as the scalar-valued Liu-Lu index does. [20] However, for Z {\displaystyle {Z}} matrices larger than 2×2, the generalized Liu-Lu index is matrix-valued, so it is different from the scalar-valued v ( Z ) {\displaystyle v ...
In predictive analytics, a table of confusion (sometimes also called a confusion matrix) is a table with two rows and two columns that reports the number of true positives, false negatives, false positives, and true negatives. This allows more detailed analysis than simply observing the proportion of correct classifications (accuracy).
In statistics, the phi coefficient (or mean square contingency coefficient and denoted by φ or r φ) is a measure of association for two binary variables.. In machine learning, it is known as the Matthews correlation coefficient (MCC) and used as a measure of the quality of binary (two-class) classifications, introduced by biochemist Brian W. Matthews in 1975.
The typical response to such a scenario is to add 0.5 to all cells in the contingency table, [1] [7] although this should not be seen as a correction as it introduces a bias to results. [5] It is suggested that the adjustment is made to all contingency tables, even if there are no cells with zero entries. [5]
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