(Basic Statistics for Citizen Data Scientist) Power and Sample Size using Real Statistics Real Statistics Functions: The Real Statistics Resource Pack supplies the following functions for calculating the power and sample size requirements for one-sample and two-sample hypothesis testing of the mean using the normal distribution. NORM1_POWER(d, n, tails, α) = the power of a …
(Basic Statistics for Citizen Data Scientist) Sampling Excel provides a Sampling data analysis tool that can be used to create samples. The tool works by defining the population as an array in an Excel worksheet and then using the following input parameters to determine how you would like to carry out the sampling. Input Range – Specify …
(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 …
(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 …
(Basic Statistics for Citizen Data Scientist) Descriptive Statistics Tools Excel provides a data analysis tool called Descriptive Statistics which produces a summary of the key statistics for a data set. Example 1: Provide a table of the most common descriptive statistics for the scores in column A of Figure 1. Figure 1 – Output from Descriptive Statistics data …
(Basic Statistics for Citizen Data Scientist) Measures of Variability We consider a random variable x and a data set S = {x1, x2, …, xn} of size n which contains possible values of x. The data set can represent either the population being studied or a sample drawn from the population. The mean is the statistic used most often to characterize the center of the …
(Basic Statistics for Citizen Data Scientist) Basic Probability Concepts Definition 1: Typically in the field of statistics we study data that results from experiments. An experiment can be considered to be a series of trials, each with a particular outcome. An event is a collection of outcomes corresponding to some result in the experiment. The number of outcomes in event E (i.e. …
(Basic Statistics for Citizen Data Scientist) Basic Statistical Concepts Statistics plays a central role in research in the social sciences, pure sciences and medicine. A simplified view of experimental research is as follows: You make some observations about the world and then create a theory consisting of a hypothesis and possible alternative hypotheses that try …
(R Tutorials for Citizen Data Scientist) Statistics with R for Business Analysts – Analysis of Covariance We use Regression analysis to create models which describe the effect of variation in predictor variables on the response variable. Sometimes, if we have a categorical variable with values like Yes/No or Male/Female etc. The simple regression analysis gives …
(R Tutorials for Citizen Data Scientist) Statistics with R for Business Analysts – Poisson Regression Poisson Regression involves regression models in which the response variable is in the form of counts and not fractional numbers. For example, the count of number of births or number of wins in a football match series. Also the values …