City education officials and a spokesman for Harcourt Assessment, the company that created the test, rejected the allegations and said that the critics had misread the technical manual.
Subsequent runs test rejected the randomness for the 5-9 v/m flow.
In addition, the statistical test rejected the null hypothesis of over dispersion in negative binomial model.
This test rejected the global null hypothesis with (p<0.001) that the medians of the groups are all equal.
Accordingly, the likelihood ratio test rejected the null hypothesis, which states equal slope coefficient for all technologies.
A likelihood ratio (LR) test rejected the null hypothesis of independent equations (i.e., the estimated correlation coefficient, ρ is equal to zero).
Nonetheless, reducing the lags to one or two generated a model with correlated residuals, and the Jarque-Bera test rejected the null hypothesis of normal disturbances on residuals.
Also, the log likelihood ratio test rejected the hypothesis of the absence of correlation between the error terms of outcome (ϵ1) and selection (ϵ2) equations (ρ = 0.690, ρ = 0.027).
Box's test rejected the hypothesis regarding equal covariance matrix; therefore, we decided to report the Pillai's trace severe distortion in the alpha levels of the tests for the six GLMs.
The Hausman-Wu test rejected the presence of endogeneity bias in the models for benign prostatic neoplasm and knee degeneration, but failed to reject in the model for cataract episodes.
Finally, the Hausman specification test rejected the null hypothesis that parameters of the random- and fixed-effects estimators are the same, suggesting that a fixed-effects estimator, which takes into account the effects of unobserved country characteristics, is preferred.
