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.
| x | y |
|---|---|
| 43.8 | 3639.7 |
| 79.8 | -1224 |
| 57.7 | 1958.4 |
| 83.9 | 1990.3 |
| 90.6 | 175.1 |
| 68.6 | -467.2 |
| 54.4 | -366.9 |
| 40.1 | 161.3 |
| 52.4 | -254.4 |
| 74.9 | -296 |
| 81.9 | -2111.1 |
| 69.9 | -1341.2 |
| 79.5 | 235.5 |
| 81.9 | 234.2 |
| 242.1 | 20892.1 |
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.
Question for thought: Would you always draw the same conclusion with the addition of an outlier?
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