Formulas & Symbols for z and t
Formulas & Symbols for z and t
M = the mean of raw scores (for a sample) = [pic]
[pic] = the mean of the population
[pic] = the population standard deviation = [pic] = SD
s = estimated population standard deviation = [pic]
z = standard score = [pic]
zM = z test or standard score for distrib. Of mean scores = [pic]
[pic] = standard error of the mean (SD for distrib of means) = [pic]
[pic] = estimated standard error of the mean = [pic]
[pic] = estimated standard error of difference = [pic]
t = t test or t ratio SINGLE SAMPLE = [pic] df = N – 1
t = t test or t ratio INDEPENDENT SAMPLES = [pic] df = Nt - 2
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