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Reading 11: Hypothesis Testing - LOS g ~ Q1-2

1.Which of the following statements about parametric and nonparametric tests is FALSE?

A)   Nonparametric tests have fewer assumptions than parametric tests.

B)   Parametric tests rely on assumptions regarding the distribution of the population.

C)   Nonparametric tests are often used in conjunction with parametric tests.

D)   Parametric tests are most appropriate when a population is heavily skewed.

2.Which of the following statements about parametric and nonparametric tests is FALSE?

A)   The test of the difference in means is used when you are comparing means from two independent samples.

B)   Nonparametric tests rely on population parameters.

C)   The test of the mean of the differences is used when performing a paired comparison.

D)   Parametric tests rely on assumptions regarding the underlying distribution of a variable.

答案和详解如下:

1.Which of the following statements about parametric and nonparametric tests is FALSE?

A)   Nonparametric tests have fewer assumptions than parametric tests.

B)   Parametric tests rely on assumptions regarding the distribution of the population.

C)   Nonparametric tests are often used in conjunction with parametric tests.

D)   Parametric tests are most appropriate when a population is heavily skewed.

The correct answer was D)

For a distribution that is non-normally distributed, a nonparametric test may be most appropriate. A nonparametric test tends to make minimal assumptions about the population, while parametric tests rely on assumptions regarding the distribution of the population. Both kinds of tests are often used in conjunction with one another.

2.Which of the following statements about parametric and nonparametric tests is FALSE?

A)   The test of the difference in means is used when you are comparing means from two independent samples.

B)   Nonparametric tests rely on population parameters.

C)   The test of the mean of the differences is used when performing a paired comparison.

D)   Parametric tests rely on assumptions regarding the underlying distribution of a variable.

The correct answer was B)

Nonparametric tests are not concerned with parameters; they make minimal assumptions about the population from which a sample comes. It is important to distinguish between the test of the difference in the means and the test of the mean of the differences. Also, it is important to understand that parametric tests rely on distributional assumptions, whereas nonparametric tests are not as strict regarding distributional properties.

 

 

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