The phrase "assumption is rejected" is correct and usable in written English.
It can be used in contexts such as academic writing, research, or discussions where a hypothesis or belief is being dismissed or disproven.
Example: "After analyzing the data, we found that the initial assumption is rejected, leading us to reconsider our approach."
Alternatives: "hypothesis is dismissed" or "premise is invalidated."
If normality assumption is rejected, an appropriate transformation (e.g. such as logarithmic) will be employed to obtain an approximately normal distribution.
Thus, it is noteworthy that, in the experimental study of parallel adaptation by Rokyta, et al. [ 45] heralded as a critical test of the model (and indeed, as "the first empirical test of an evolutionary theory") [ 38], Orr's simplifying assumption is rejected, so as to allow transition-transversion bias in mutation, leading to a better fit with results.
Although our initial assumption was rejected, this result is important because it may provide evidence in support of the idea that the relationships among levels of knowledge and acceptance of evolution and understanding of TA-NOS are not cause-effect relationships.
If normality assumption was rejected for dependent variable distribution, we used nonparametric Wilcoxon-Mann-Whitney test.
A strict molecular clock assumption was rejected for both datasets because of significant rate heterogeneity among lineages.
The proportional hazards assumption was not rejected in each procedure subgroup model, but for the all-cardiac surgery analysis, the proportionality assumption was rejected for one BMI spline coefficient (p=0.007) and IMD Q3 (p=0.037).
If the normality assumption was rejected, a Wilcoxon non-parametric rank-sum test was used, and results are reported using medians and interquartile ranges (Q1 Q3).
All other variables are described as means with standard deviations and compared by the t-test or one-way ANOVA; Welch's test was used if the equality of variance assumption was rejected by Levene's test.
As suggested by the nonparallel hazard curves for HR+ versus HR- disease in Figure 2a, the test of the proportional hazards assumption was rejected indicating a nonconstant hazard ratio (P = 0.05).
In the final flexible spline-based multivariable model, log2 CRP had a statistically significant time-dependent effect, as the PH assumption was rejected (P=0.033), and a significant non-linear relationship with the logarithm of the mortality hazard (linearity rejected at P=0.015).
A Score test was conducted to evaluate the possible use of ordinal logistic regression; the proportional odds could not be assumed as required (i.e., the null hypothesis that the model was constrained by the proportional odds assumption was rejected [χ = 98.59; degrees of freedom = 3; P < 0.0001]).
