If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.
Z scores are used for standardized testing done by most school districts. It is the most common way of standardizing data. IQ scores can be standardized using z scores. The mean is 100 and the standard deviation is 15. You use the t score when the sample is small, <30 often. Many behavior ratings use t scores.
A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.
T-scores and z-scores measure the deviation from normal. The normal for T-score is 50 with standard deviation of 10. if the score on t-score is more than 50, it means that the person scored above normal (average), and vise versa. The normal for Z-score is 0. If Z-score is above 0, then it means that person scored above normal (average), and vise versa.
T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri
If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.
You calculate the z-scores and then use published tables.
Z scores are used for standardized testing done by most school districts. It is the most common way of standardizing data. IQ scores can be standardized using z scores. The mean is 100 and the standard deviation is 15. You use the t score when the sample is small, <30 often. Many behavior ratings use t scores.
T score is usually used when the sample size is below 30 and/or when the population standard deviation is unknown.
A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.
T-scores and z-scores measure the deviation from normal. The normal for T-score is 50 with standard deviation of 10. if the score on t-score is more than 50, it means that the person scored above normal (average), and vise versa. The normal for Z-score is 0. If Z-score is above 0, then it means that person scored above normal (average), and vise versa.
T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri
They should be.
True or False, One major advantage of transforming X values into z-scores is that the z-scores always form a normal distribution
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No, the Z-test is not the same as a Z-score. The Z-test is where you take the Z-score and compare it to a critical value to determine if the null hypothesis will be rejected or fail to be rejected.
After collecting raw scores you can calculate the t scores by simple using the formulas given on page 8 of the professional manual by Costa and McCrae 1992. If you do not have access to the manual google the these formulas.