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Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card | 8th Edition | ISBN: 9781464158933 | Authors: David S. Moore, George P. McCabe, Bruce A. Craig
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How an outlier can affect statistical significance.

Chapter , Problem 10.35

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QUESTION:

How an outlier can affect statistical significance. Consider the data in Table 10.4 and the relationship between IBI and the percent of watershed area that was forest. The relationship between these two variables is almost significant at the 0.05 level. In this exercise you will demonstrate the potential effect of an outlier on statistical significance. Investigate what happens when you decrease the IBI to 0.0 for (1) an observation with 0% forest and (2) an observation with 100% forest. Write a short summary of what you learn from this exercise.

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QUESTION:

How an outlier can affect statistical significance. Consider the data in Table 10.4 and the relationship between IBI and the percent of watershed area that was forest. The relationship between these two variables is almost significant at the 0.05 level. In this exercise you will demonstrate the potential effect of an outlier on statistical significance. Investigate what happens when you decrease the IBI to 0.0 for (1) an observation with 0% forest and (2) an observation with 100% forest. Write a short summary of what you learn from this exercise.

ANSWER:

Step 1 of 4

The first change in the forest percent decreases the -value, indicating that the relationship between the forest percent and biotic integrity is more significant because of the positive association between the forest percent and biotic integrity; however, the second change in the forest percent increases the -value, indicating that the forest percent and the Index of biotic integrity is less significant because it displays a negative association between the forest percent and biotic integrity; however, when the third change in the forest the regression line is as follows:

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