I probably last saw this in the last century but I’ll put it in anyway!
Details #
Essentially another standardisation method but transforms raw scores so their mean is 50 and one standard deviation is 10. So the equation is:
$$x^{‘}=50 + \frac{10(x – mean_{x})}{SD_{x}}$$
To give a silly example, if the raw data are 1, 2, 3, 4 and 5 then they have mean of 3 and SD of 1.581139. The t-score transformation converts these data to 55, 60, 65, 70 and 75 which have mean 50 and SD 10.
As ever with these transformations/standardisations, that’s using the mean and SD from the data, usually the transformation would use some referential mean and SD.
Apparently this scoring/transformation is used quite a lot in Japanese education.
Try also #
Mean (arithmetic mean/average)
Standard deviation (SD)
Standardisation/normalisation
Transforming/transformation
z-scores/z-transforming
Chapters #
Not in the OMbook!
Online resources #
None currently.
Dates #
First created 2.iv.24, tweaks 3.iv.24.
