Analysis of variance (ANOVA)

Analysis of variance (ANOVA) can determine whether the means of three or more groups are different. Example 1): Let’s say they are couple of colleges in your area and you want to know which college give the best performance(In this case all students took same exam from different colleges) Example 2): Lets say I have threeContinue reading “Analysis of variance (ANOVA)”

One way ANOVA calculation

Lets calculate one way ANOVA with the below dataset. Assumptions:                 Null Hypothesis =         H0: µ1=µ2=µ3                 Alternative Hypothesis= Ha: µ1!=µ2!=µ3 Calculate the Mean: Grand Mean: Mean of all sample means or mean for all observation from all samples Between Group Variability: When you see below image the two different samples isContinue reading “One way ANOVA calculation”

Difference between Z-test, F-test, and T-test

Z-Test: A z-test is used for testing the mean of a population versus a standard, or comparing the means of two populations, with large (n ≥ 30) samples whether you know the population standard deviation or not. It is also used for testing the proportion of some characteristic versus a standard proportion, or comparing theContinue reading “Difference between Z-test, F-test, and T-test”