Stats For Behav. Science W/mindtap
Stats For Behav. Science W/mindtap
10th Edition
ISBN: 9781337367691
Author: GRAVETTER
Publisher: Cengage
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Chapter 17, Problem 1P

l. Parametric tests (such as t or ANOVA) differ from nonparametric tests (such as chi-square) primarily in terms of the assumption they require and the data they use. Explain the differences.

Expert Solution & Answer
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To determine

The differences between parametric and non-parametric tests.

Answer to Problem 1P

Solution:

Non Parametric tests Parametric tests
No information about the population is available. Information about the population is completely known.
No assumptions are made regarding the population. Specific assumptions are made regarding the population.
The null hypothesis is free from parameters. The null hypothesis is made on parameters of population distribution.

Explanation of Solution

The basic difference between parametric and non-parametric tests are the assumptions associated with non-parametric tests. They are:

  • The sample observations are independent.
  • The variable under study is continuous.
  • The probability density function is continuous.
  • Lower order moments exist.
  • The non-parametric tests do not require the population to have a normal distribution.

Conclusion:

These are the assumptions for non-parametric tests which are fewer and much weaker than those associated with parametric tests.

Justification:

This is why the non-parametric tests can be performed on data measured on any scale.

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Students have asked these similar questions
Parametric tests (such as t-tests or ANOVAs) differ from nonparametric tests (such as chi-square) primarily in terms of the assumptions they require and the data they use. Explain these differences.
What parametric test is used when you want to compare more than two independent samples?   a. Chi-square   b. Independent t-test   c. z-test   d. one-way ANOVA
Why would we want to use a Chi Squared Test for this study? What are the best ways to describe the data graphically and numerically? An investigation of the association between drink preferences and the color of teeth is proposed. Subjects will be surveyed as to the type of drink most often consumed (coffee/tea. Juice, caramel-colored soda, water, or milk).  A clinical exam will be performed after dental cleaning to determine the color of the teeth (reddish brown, reddish yellow, gray, reddish gray).
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