To summarize what we just said in a very simplified manner, we can state that regression analysis is a complex analytical process that makes use of several models and scales. To illustrate, it’s possible to have regressions for a person’s height, weight, and age, or even a regression of an individual’s age on how long he or she has been an employee.
The data from the regression is just the starting point of a statistical analysis. Statistical methods are designed to give us accurate and consistent answers, not just the analysis itself. It’s hard to predict whether one regression would yield different results than another if the measurements and variables are not completely adjusted.
Statistical models are designed to combine several scales to come up with the final model output. This statistical process involves using several scales from which we can choose, as well as several linear, quadratic, and cubic functions. Statistics don’t guarantee accuracy, but they help us understand and measure relationships much better than anything else.
Before proceeding further, it’s important to understand the basic concepts of regression analysis, such as its theory and history. In essence, the regression analysis is the study of changes in variables over time.
Statisticians use regression to learn about population-level changes in variables and to study how these changes can affect the outcome of a given system of laws. The simplest example of a regression analysis is one that relates one variable, like age, to another, like height.
Statistical models are designed to fit a data set to a set of equations that determine an outcome. It’s important to note that the data from the regression are only a means of determining the final model. Even though it’s necessary to adjust variables in order to produce a valid regression model, statistical models are never complete or free from error.
As a student of statistics, I think it’s essential to understand the three different types of statistical analysis. One type of statistical analysis is called bivariate, where the variables are ones that are directly associated with one another.
When bivariate data are analyzed, multiple variables are considered. This means that you can also calculate multiple equations for each variable, since it has a direct correlation with other variables. A bivariate equation for the height can be the sum of a few different factors, like weight, age, and bone mass.
Bivariate regression is usually a single equation that can be used to predict an outcome. However, these equations aren’t all the same, so it’s important to use multiple regression equations to control for a few more variables, including age, sex, and weight.
The second type of statistical analysis is ordinal, which uses order in the variables. Ordinal equations only have a single equation, which allows them to be much easier to understand and analyze than bivariate or unordered equations.
Some of the most popular statistical analyses include Student’s t-test, chi-square, Wilcoxon, and Pearson’s chi-square tests. Of course, this is only a short overview of the complex world of statistical analysis.