To use this function, choose .
Conducts the Freeman-Tukey transformation to stabilize variance for binomial data. For example, you can transform attribute data so the assumptions of the regression or ANOVA model are met.
Syntax
FTP(Trials,Events)
Specify the number of Trials and the number of Events; each can be a column or stored constant. Trials must be a positive integer. Events must be an integer between 0 and the number of trials, inclusive.
Example
A software developer tracks the proportion of words understood by a voice recognition software in various audio samples. To stabilize the variance and normalize the distribution of the data before performing regression or ANOVA, the developer transforms the proportion of the number events over the number of trials. The developer enters the expression FTP(C1,C2) and stores the results in C3.
| C1 | C2 | C3 |
|---|---|---|
| Total number of words (trial) | Number of words understood (event) | Transform Proportion |
| 260 | 78 | 0.58047 |
| 160 | 24 | 0.40072 |
| 335 | 67 | 0.46476 |
| 100 | 22 | 0.49152 |
| 75 | 69 | 1.27422 |
| 525 | 273 | 0.80537 |
Formula
Bisgaard, Soren and Howard T. Fuller (1994) Quality Quandaries, Analysis of Factorial Experiments with Defects or Defectives as the Response, Quality Engineering, 7(2), 429–443.
