When to use the z-test or t-test for the mean
When dealing with large samples, usually consisting of 30 or more data points, the z-test can be applied with minimal…
independent samples t-test: The Average Height of Gnomes versus Dwarves (Testing for Equal Means)
Suppose we want to compare the average height of gnomes and dwarves. We will use an independent samples t-test to…
paired samples t-test: Better Cookie Recipe
Suppose I have two cookie recipes, Recipe A and Recipe B, and I want to determine which one produces better…
Two Types of t-Test for Equal Means
In statistics, the t-test is a common hypothesis test used to determine if there is a significant difference between the…
Student’s Distribution (t-distribution) & Independent samples
The term “Student’s distribution,” also known as the “t-distribution,” is a probability distribution that arises in statistics and is used…
Exponential distribution song
This song helps us better remember the properties of the exponential distribution. The exponential distribution models time between events in a Poisson process, where occurrences are independent at a constant rate. Key features include its probability density and cumulative distribution functions, mean, variance, and memoryless property. It has applications in queueing theory, reliability engineering, and survival analysis.
Super Impressive Bread Maker (Bonferroni Correction)
Suppose that I have a bakery store. One day, a guy came over to promote his bread-making machine. He emphasized…
A jealous wife: The Choice of Significance Level
The most common choices of significance level are 0.01, 0.05, and sometimes 0.1. The significance level can be chosen based…
Phân ph?i m?
Phân ph?i m? (exponential distribution) là m?t phân ph?i xác su?t quan tr?ng trong lý thuy?t xác su?t và th?ng…