Statistics for the Behavioral Sciences, Loose-leaf Version
10th Edition
ISBN: 9781305862807
Author: GRAVETTER
Publisher: CENGAGE L
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Textbook Question
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
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
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 17 Solutions
Statistics for the Behavioral Sciences, Loose-leaf Version
Ch. 17 - l. Parametric tests (such as t or ANOVA) differ...Ch. 17 - The student population at the state college...Ch. 17 - 3.A developmental psychologist would like to deter...Ch. 17 - Data from the Motor Vehicle Department indicate...Ch. 17 - Research has demonstrated that people tend to be...Ch. 17 - Suppose that the researcher fromthe previous...Ch. 17 - A professor in the psychology department would...Ch. 17 - Automobile insurance is much more expensive for...Ch. 17 - The color red is often associated with anger and...Ch. 17 - Prob. 10P
Ch. 17 - Prob. 11PCh. 17 - 12. Many businesses use some type of customer...Ch. 17 - In a classic study, Loftus and Palmer (1974)...Ch. 17 - In a study investigating freshman weight gain, the...Ch. 17 - Research results suggest that IQ scores for boys...Ch. 17 - 16. Gender difference in dream content are wen...Ch. 17 - 17. In a study similar to one conducted by Fallon...Ch. 17 - 18. A recent study indicate that people tend to...Ch. 17 - 19. Research indicates that people who volunteer...Ch. 17 - Cialdini, Reno, andKallgre,n (11990) examined how...Ch. 17 - Although the phenomenon is not well understood, it...Ch. 17 - In the Preview for this chapter we presented a...Ch. 17 - Research has demonstrated strong gender...
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