A chi-bar-squared distribution is a mixture of chi-square distributions, mixed over their degrees of freedom. You’ll often find them when testing a hypothesis with an inequality. Uses The chi-squared distribution has many uses in statistics, including: Confidence interval estimation for a populat...
That said, while we can use skewness to describe asymmetric distributions, there isn’t a rigorous mathematical foundation to establish what is meant by “kurtosis of an asymmetric distribution” and what is needed to measure it properly [2]. When modeling stock market volatility, Gabaix et al....
Descriptive statistics vs. inferential statistics After collecting data in quantitative research, we need to understand and describe the nature and relationship of the data collected as the first step: descriptive statistics. The next step is to compare your findings with the hypothesis, confirm or di...
the distribution fits your data. This process is simple to do visually. Informally, this process is called the “fat pencil” test. If all the data points line up within the area of a fat pencil laid over the center
determined by taking several sets of random samples and calculating the mean from each one. This distribution of means does not describe the population itself–it describes the population mean. Thus, even a highly skewed population distribution yields a normal, bell-shaped distribution of the mean....
In statistics, the t-distribution is most often used to:Find the critical values for a confidence interval when the data is approximately normally distributed. Find the corresponding p-value from a statistical test that uses the t-distribution (t-tests, regression analysis)....
1. Enter data Choose a Column table, and a column scatter graph. If you are not ready to enter your own data, you may choose the Column table sample data "Frequency...
Descriptive statistics, as the name implies, refers to the statistics that describe your dataset. For a large dataset, it gives you a bite-sized summary that can help you understand your data. Imagine this as being the Resumé of the data you are going to work with, it tells you what yo...
This guide will show you how to calculate the probability (area under the curve) of a standard normal distribution. It will first show you how to interpret a Standard Normal Distribution Table. It will then show you how to calculate the:...
The calculation for a p-value varies based on the type of test performed. The three test types describe the location on the probability distribution curve: lower-tailed test, upper-tailed test, ortwo-tailed test. In each case, the degrees of freedom play a crucial role in determining the ...