Dear Balkin, thank you for your video, which is helpful. Can I always use the Zscore*10+50 to calculate the T-score despite the sample number and distribution?
no. You should have a representative distribution to make sense out of the z-score, which is an extension of the mean. So, if your sample is small, there is likely more error. But if you are using a population mean for your scores, then it works.
@@richardbalkin2902 Thank you for your reply! Do you mean that I can only use Z-score when my population is a normal distribution? and then I can use Z-score to calculate the T-score by "Zscore*10+50"?
Dear Balkin, thank you for your video, which is helpful. Can I always use the Zscore*10+50 to calculate the T-score despite the sample number and distribution?
no. You should have a representative distribution to make sense out of the z-score, which is an extension of the mean. So, if your sample is small, there is likely more error. But if you are using a population mean for your scores, then it works.
@@richardbalkin2902 Thank you for your reply! Do you mean that I can only use Z-score when my population is a normal distribution? and then I can use Z-score to calculate the T-score by "Zscore*10+50"?