(Basic Statistics for Citizen Data Scientist) Two Sample t Test: equal variances We now consider an experimental design where we want to determine whether there is a difference between two groups within the population. For example, let’s suppose we want to test whether there is any difference between the effectiveness of a new drug for …
Day: January 31, 2021
(Basic Statistics for Citizen Data Scientist) One Sample t Test The t distribution provides a good way to perform one-sample tests on the mean when the population variance is not known provided the population is normal or the sample is sufficiently large so that the Central Limit Theorem applies. It turns out that the t distribution provides good results even …
(Basic Statistics for Citizen Data Scientist) Basic Concepts of t Distribution The one sample hypothesis test described in Hypothesis Testing using the Central Limit Theorem using the normal distribution is fine when one knows the standard deviation of the population distribution and the population is either normally distributed or the sample is sufficiently large that the Central Limit …
(Basic Statistics for Citizen Data Scientist) Required Sample Size for the Binomial Testing We now show how to determine the sample size required to achieve a specified power objective. Example 1: A company has made a major improvement in their manufacturing process and wants to test whether this improvement will result in 80% of the components …
(Basic Statistics for Citizen Data Scientist) Statistical Power for the Binomial Distribution Power of one-tailed test Example 1: What is the power of the test in Example 3 of Hypothesis Testing for the Binomial Distribution? For this example we found 13 successes in a sample of size 24 and used a one-tailed test with α = .05 …