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?
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.
| x | y |
|---|---|
| 26.1 | 211.3 |
| 35.4 | -464.7 |
| 41.6 | -98.6 |
| 19.9 | 305.9 |
| 31.9 | 99.5 |
| 50.1 | -676.3 |
| 42.3 | -180.3 |
| 32 | 494.1 |
| 21 | 345.4 |
| 35.4 | 792.7 |
| 22.4 | -46.3 |
| 30.5 | -22.6 |
| 50.9 | 700.4 |
| 16.8 | 146.3 |
| 153.2 | -5083.3 |
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
- Yes. Including the outlier changes the evidence regarding a linear correlation.
- No. Including the outlier does not change the evidence regarding a linear correlation.
Question for thought: Would you always draw the same conclusion with the addition of an outlier?
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