Exam 12: The T-Test

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Nonnormality is sometimes overcome through variable transformation.

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A combination of visual inspection and statistical testing should always be used to determine normality.

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All t-tests first test for equality of means and then test for equality of variances.

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The signed rank test is an independent samples test that examines differences of mean ranks to evaluate whether two samples come from the same population.

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A paired t-test violates the assumption of homogeneity.

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Recoding continuous variables as categorical variables is discouraged because it results in a loss of information.

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Analysts should always examine the robustness of their findings.

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One-tailed tests are used most often, unless compelling a priori knowledge exists or it is known that one group cannot have a larger mean than the other.

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The term robust is used, generally, to describe the extent to which test conclusions are unaffected by departures from test assumptions.

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The Mann-Whitney and Wilcoxon tests are equivalent.

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When both variables are categorical, the t-test should be used for hypothesis testing.

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The Kolmogorov-Smirnov test is a test of equal variance.

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The term parametric statistics refers to tests that make assumptions about the distribution of data.

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The paired samples t-test tests the null hypothesis that the mean difference between the before and after test scores is zero.

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The t-test has four test assumptions.

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The critical values of the t-test are provided by Student's t-test distribution.

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When problems of nonnormality cannot be resolved adequately, analysts should consider nonparametric alternatives to the t-test.

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A test for the equality of variances is the Levene's test.

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The one-sample t-test tests whether the mean of a single variable is different from a prespecified value (norm).

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The Mann-Whitney and Wilcoxon tests assign ranks to the testing variable and test whether the sums of ranks differ between the two categories.

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