Independent Sample T Test Formula. µ non-athlete µ athlete 0 the difference of the means is not equal to. X1 x2 sp1n1 1n2 where x1 and x2 are the sample means n1 and n2 are the sample sizes and where sp is calculated as. The hypotheses for this example can be expressed as. T -test sample mean 1 sample mean 2 sqrt s12n1 s22n2.
Formula A one-sample t-test always uses the following null hypothesis. Usually the degrees of freedom are the sample size minus one N 1 df. The the one-sample t-test formula can be written as follow. In other words if the t-test is statistically significant we would conclude the the populations from which the samples were drawn had different population means. µ non-athlete µ athlete 0 the difference of the means is not equal to. The aim of this article is to describe the different t test formula.
Our observed effect one mean subtracted from the other mean all divided by the standard error.
You can use an Independent Samples t Test to compare the mean mile time for athletes and non-athletes. Independent t-test Independent-measures or between-subject design Null hypothesis H 0. The unpaired two sample t-test used to compare the mean of two independent samples. The independent-samples t test is what we refer to as a robust test. If the variance of the two groups are equivalent homoscedasticity the t-test value comparing the two samples A and B can be calculated as follow. The one-sample t-test used to compare the mean of a population with a theoretical value.