4. Calculate SStotal, SSpetween» and SSwithin for the following set of data: Treatment 1 Treatment 2 Treatment 3 n = 10 T = 30 SS = 23 n = 10 N = 30 %3D n = 10 %3D T = 10 T = 20 G = 60 %3D %3D SS = 27 SS = 16 EX = 206 %3D %3D %3D %3D
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.
![**Problem 4**
Calculate \( SS_{\text{total}} \), \( SS_{\text{between}} \), and \( SS_{\text{within}} \) for the following set of data:
| | Treatment 1 | Treatment 2 | Treatment 3 |
|-----------|-------------|-------------|-------------|
| \( n \) | 10 | 10 | 10 |
| \( T \) | 10 | 20 | 30 |
| \( SS \) | 27 | 16 | 23 |
**Total Calculations**
- \( N = 30 \)
- \( G = 60 \)
- \( \Sigma X^2 = 206 \)
This task involves calculating the sum of squares for total, between, and within groups for the given treatments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d2b439b-9921-445d-b564-5f8ee77e0431%2Faa87a302-3dee-4f2d-acde-fda8969e4b8c%2Fwed3mtk_processed.jpeg&w=3840&q=75)
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