The following bivariate data set contains an outlier. x y 58.2 2259.1 64.9 1059.8 43.1 -646.2 56.5 -256 70.8 -1054.5 50.1 1182.4 74.7 45.3 48 3001.3 65.2 -2772.6 77.1 -2509.3 42.1 -1433.9 53.3 -1090.9 44 -1861.2 62.5 -573.1 182.1 -20094.3 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 |
|---|---|
| 58.2 | 2259.1 |
| 64.9 | 1059.8 |
| 43.1 | -646.2 |
| 56.5 | -256 |
| 70.8 | -1054.5 |
| 50.1 | 1182.4 |
| 74.7 | 45.3 |
| 48 | 3001.3 |
| 65.2 | -2772.6 |
| 77.1 | -2509.3 |
| 42.1 | -1433.9 |
| 53.3 | -1090.9 |
| 44 | -1861.2 |
| 62.5 | -573.1 |
| 182.1 | -20094.3 |
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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