Question

In: Statistics and Probability

For the following, identify the independent variable and the dependent variable and explain why we should...

For the following, identify the independent variable and the dependent variable and explain why we should use a parametric or nonparametric procedure. (a) When ranking the intelligence of a group of people given a smart pill. (b) When compar- ing the median income for a group of college professors to that of the national population of all incomes. (c) When comparing the mean reading speed for a sam- ple of hearing-impaired children to the average reading speed in the population of hearing children. (d) When measuring interval scores from a personality test given to a group of emotionally troubled people and comparing them to the population ?? for emotionally healthy people.

Expert Solution

As a general rule of thumb, when the dependent variable’s level of measurement is nominal (categorical) or ordinal, then a non-parametric test should be selected. When the dependent variable is measured on a continuous scale, then a parametric test should typically be selected.

a) When ranking the intelligence of a group of people given a smart pill.

Independent variable - Smart pill given or not.

Dependent variable - Rank of intelligence

As, the dependent variable is an ordinal variable, nonparametric procedure should be used.

(b) When comparing the median income for a group of college professors to that of the national population of all incomes.

Independent variable - college professors or not.

Dependent variable - median income

As, the dependent variable (median income) is an ordinal variable, nonparametric procedure should be used.

(c) When comparing the mean reading speed for a sample of hearing-impaired children to the average reading speed in the population of hearing children.

Independent variable - hearing-impaired children or not.

Dependent variable - mean reading speed

As, the dependent variable (mean reading speed) is a continuous variable, parametric procedure should be used.

(d) When measuring interval scores from a personality test given to a group of emotionally troubled people and comparing them to the population ?? for emotionally healthy people.

Independent variable - emotionally troubled people or not.

Dependent variable - interval scores from a personality test

As, the dependent variable (interval scores) is a continuous variable, parametric procedure should be used.

orchestra answered 2 years ago

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