learn maths with Eds
In the previous post, we learned that the t statistic can be used in a one-sample hypothesis test for means, and the sample must come from a normally distributed population. Therefore, we usually perform a “normality test” to check whetherRead More
In a previous post, we explained how statistical hypothesis testing was conducted. In principle, there are four major steps, namely 1) formulate H0 and H1, 2) determine the level of significance, 3) determine the appropriate test statistic and the H0Read More
The word “hypothesis” is rarely found in everyday conversation. However, we often hear the words “idea” or “(educated) guess”. An idea is not necessarily correct. To find out whether the idea is right, we conduct an investigation. The same isRead More
In statistics, the normal distribution is an example of a continuous probability distribution. With the normal distribution, many things can be concluded or predicted. Furthermore, the normal distribution also plays a role in communication science. Examples of applications in theRead More
In communication science, various scenarios can be modeled using the binomial distribution. For example, researchers might investigate whether a particular communication strategy increases the likelihood of a desired audience response, such as positive feedback, engagement, or participation. Other applications includeRead More
Problem 1 Find the population principal components Y1 and Y2 for the covariance matrix . Then, calculate the proportion of the total population variance explained by the first principal component. Answer Find the eigenvalues and the corresponding eigenvectors. (λ-5)(λ-2) –Read More
Manufacturing and service companies attempt to deliver the best products or services to their customers. Manufacturing companies expect that 100% of the goods they produce are non-defective. Also, service companies such as courier services expect that 100% of the packagesRead More
Before we look at the concept of statistical distance, it is worth pointing out first what is meant by distance in mathematics. Definition Suppose that V is a non-empty set and d is a function from V×V to .Read More
While the median splits data into two groups with an equal number of data, the quartiles separate them into four groups with an equal number of data. If a set of data has Q1 as its first quartile and Q3Read More