Day: January 26, 2021

Statistics for Beginners in Excel – Simulation using Real Statistics

(Basic Statistics for Citizen Data Scientist) Simulation It is often useful to create a model using simulation. Usually, this takes the form of generating a series of random observations (often based on a specific statistical distribution) and then studying the resulting observations using techniques described throughout the rest of this website. This approach is commonly called Monte …

Statistics for Beginners in Excel – Comparing two means when variances are known

(Basic Statistics for Citizen Data Scientist) Comparing two means when variances are known Theorem 1: Let x̄ and ȳ be the means of two samples of size nx and ny respectively. If x and y are normal or nx and ny are sufficiently large for the Central Limit Theorem to hold, then x̄ – ȳ has normal distribution with mean μx – μy and standard deviation Proof: Since the samples are random, x̄ and ȳ are normally and independently distributed. By the Central Limit …

Statistics for Beginners in Excel – Hypothesis Testing using the Central Limit Theorem

(Basic Statistics for Citizen Data Scientist) Hypothesis Testing using the Central Limit Theorem Using the Central Limit Theorem we can extend the approach employed in Single Sample Hypothesis Testing for normally distributed populations to those that are not normally distributed. Suppose we take a sample of size n, where n is sufficiently large, and pose a null hypothesis that the …