The t-Distribution | how to use t distribution
Whatisthet-distribution?The t-distributiondescribesthestandardizeddistancesofsamplemeanstothepopulationmeanwhenthepopulationstandarddeviationisnotknown,andtheobservationscomefromanormallydistributedpopulation.Isthet-distributionthesameastheStudent’st-distribution?Yes.What’sthekeydifferencebetweenthe t-andz-distributions?Thestandardnormalorz-distributionassumesthatyouknowthepopulationstandarddeviation.The t-distributionisbasedonthesamplestandarddeviation.t-Distributionvs.normaldistributionThe...
What is the t-distribution?The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Is the t-distribution the same as the Student’s t-distribution?Yes.
What’s the key difference between the t- and z-distributions?The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.
t-Distribution vs. normal distributionThe t-distribution is similar to a normal distribution[1]. It has a precise mathematical definition. Instead of diving into complex math, let’s look at the useful properties of the t-distribution and why it is important in analyses.
Like the normal distribution, the t-distribution has a smooth shape.Like the normal distribution, the t-distribution is symmetric. If you think about folding ...