At score is one form of a standardized test statistic. The t score formula enables you to take an individual score and transform it into a standardized form one which helps you to compare scores. You'll want to use the t score formula when you don't know the population standard deviation and you have a small sample (under 30).
The t score formula is
μ0 = population mean
s = sample standard deviation
n = sample size
Higher values of the t-value, also called t-score, indicate that a large difference exists between the two sample sets. The smaller the t-value, the more similarity exists between the two sample sets. A large t-score indicates that the groups are different. A small t-score indicates that the groups are similar.
It's influenced by many factors including
How many items are in your sample.
The means of your sample
The mean of the population from which your sample is drawn.
The standard deviation of your sample.
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