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Experimental social psychologists routinely rely on ANOVA to study interactions between factors even when the assumptions underlying the use of parametric tests are not met.
Statistical analyses of normality (D'Agostino-Pearson omnibus and Shapiro-Wilk) and of equality of variances (Levenes) supported the use of parametric tests.
The first step we undertook in the analysis stage was to investigate whether the usual assumptions for the use of parametric tests – preferable because of their enhanced power – hold in the collected data.
Normal distribution of continuous variables was verified using the Shapiro-Wilk test and homogeneity of variances was determined using Fisher's F-test and Levene's test to ensure the assumptions were met for use of parametric tests.
T cell percentage data were arcsine square root transformed to allow the use of parametric tests [58].
This transformation facilitates the use of parametric tests and allows the magnitude of any genetic effect to be presented on a commonly understood scale in the field of cognition.
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Therefore, the use of parametric test for the assessment of treatment effect was justified, as expected.
Symptoms and nasal lavage cell counts were analyzed by use of nonparametric tests (Mann-Whitney), and RQLQ was analyzed by use of parametric testing.
Based on results of previous studies, square root transformations of these measures were used to stabilise the variance and thus to permit use of parametric test and estimation procedures.
The comparisons between the scores at SF-12 in the study groups were calculated using the ANOVA one-way statistic, in alternative, particularly when the size of the samples did not allow the use of parametric test, the U Mann Whitney test was used.
Non-parametric tests are often used in place of parametric tests when the assumptions necessary for the parametric method do not hold; for instance the data might be more variable or more skewed than expected.
More suggestions(15)
use of parametric designs
use of parametric models
use of unindicated tests
use of expensive tests
use of parametric approaches
use of parametric amplifiers
use of multiple tests
use of parametric statistics
use of parametric curves
use of ultrasound tests
use of parametric investigations
use of diagnostic tests
use of parametric games
use of partisan tests
use of parametric surfaces
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