Compute the P value that the observed and expected tables come from the same distribution
This test is an alternative to Pearson's X^2
goodness-of-fit test. In contrast to Pearson's X^2, no ad hoc cell
collapsing is needed to avoid an inflated false positive rate
in situations of sparse cell frequences.
The statistic rapidly converges to the Monte-Carlo estimate
as the number of draws increases.
ptw2011.gof.test(observed, expected)
observed |
observed matrix |
expected |
expected matrix |
The P value indicating whether the two tables come from the same distribution. For example, a significant result (P < alpha level) rejects the hypothesis that the two matrices are from the same distribution.
Perkins, W., Tygert, M., & Ward, R. (2011). Computing the confidence levels for a root-mean-square test of goodness-of-fit. Applied Mathematics and Computations, 217(22), 9072-9084.
draws <- 17 observed <- matrix(c(.294, .176, .118, .411), nrow=2) * draws expected <- matrix(c(.235, .235, .176, .353), nrow=2) * draws ptw2011.gof.test(observed, expected) # not signficiant
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