The following bivariate data set contains an outlier. x y 52.9 788.3 55.7 583.8 43.2 12.3 50.3 486.2 60.5 297.6 48.1 176.8 60 443.1 31.7 174.6 46.6 -261.6 43.6 624 32 310.7 43.4 270.8 52.9 260.1 57.2 -955.2 146.9 6018.8 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 |
|---|---|
| 52.9 | 788.3 |
| 55.7 | 583.8 |
| 43.2 | 12.3 |
| 50.3 | 486.2 |
| 60.5 | 297.6 |
| 48.1 | 176.8 |
| 60 | 443.1 |
| 31.7 | 174.6 |
| 46.6 | -261.6 |
| 43.6 | 624 |
| 32 | 310.7 |
| 43.4 | 270.8 |
| 52.9 | 260.1 |
| 57.2 | -955.2 |
| 146.9 | 6018.8 |
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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