The following bivariate data set contains an outlier. x y 52.1 -1079.6 46.8 -626.4 27.1 -539.1 54.2 88.7 38.5 -512.5 55.2 461.1 49.2 975.4 35.5 -1773.3 39.4 1392.5 48.8 -1035.8 62.5 -517.7 36.8 -1138.2 48.7 -2534.1 43.2 60.2 168.7 13172.3 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following bivariate data set contains an outlier.
| x | y |
|---|---|
| 52.1 | -1079.6 |
| 46.8 | -626.4 |
| 27.1 | -539.1 |
| 54.2 | 88.7 |
| 38.5 | -512.5 |
| 55.2 | 461.1 |
| 49.2 | 975.4 |
| 35.5 | -1773.3 |
| 39.4 | 1392.5 |
| 48.8 | -1035.8 |
| 62.5 | -517.7 |
| 36.8 | -1138.2 |
| 48.7 | -2534.1 |
| 43.2 | 60.2 |
| 168.7 | 13172.3 |
What is the
rw =
What is the correlation coefficient without the outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a significant
- No. Including the outlier does not change the evidence regarding a linear correlation.
- Yes. Including the outlier changes the evidence regarding a linear correlation.
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