# What is Inferential Statistics? – Definition with Example

**What is Inferential Statistics**: In statistics, we can basically divide the domain of statistics into two subdomains. These domains are known as descriptive statistics and inferential statistics. Both subdomains function in two different ways for the concerned data or population.

### Inferential Statistics Definition

With descriptive statistics one can have the description of data or for the concerned population in general. While with inferential statistics one is able to predict the outcome on the basis of such data. Here you basically collect the data from the descriptive statistics and then make the generalization prediction with that data.

### Inferential Statistics Example

For example, if on the basis of the descriptive statistics you might ask the 100 people whether they like going to pub on weekends or not. You may prepare the data in yes or no by asking each person. On the other hand with inferential statistics, you may predict with your data and research that only 30% of the people might be going to the pub out of those 100 people.

So, this is how the inferential statistics work based on the data available and then make the correct reasoning. We can further divide the two prime broad areas of the inferential statistics as below.

- Estimation of the Parameters

Here you basically take the sample data and then you put your estimation on the population. It basically excludes the research part and makes the estimated prediction

- Hypothesis Test

In this method, the sample data basically goes through the proper research and analysis. In this section, the prediction is made based on the proper research and analysis.

## What is Inferential Statistics?

Let’s just consider another example here where you have a covid 19 vaccination and you have to make your analysis for the efficacy of this vaccine. Here you can use descriptive statistics to collect and describe the patient’s sample collection.

You can use several forms of descriptive statistics to plot this same data. It may include the following ways to represent the data of the people who have taken the shot of this covid 19 vaccine.

- Standard deviation sample
- Mean sample
- Boxplot or bar chart sample
- Probability distribution of the data.

#### Inferential Statistics are used to —

Now with the inferential statistic, you can basically use the sample of the data as has been provided above. Subsequently, you can use this data to make your proper analysis and the prediction that how well the covid 19 vaccine is going to work out on other people. Moreover, you can also use the various tool here for this purpose such as the normal distribution and post hoc testing.

So, as you can see that inferential statistics use descriptive statistics for their proper execution and showing the most accurate prediction for the data provided. There are the numbers of indexes that the inferential statistic may take into consideration. We are here including some of them for your reference.

- Hypothesis Testing
- Binomial Theorem
- T Distribution
- Normal Distribution
- Regression Analysis
- Comparison of Means
- The theorem of Central Limit

You can study the number of articles on these indexes of inferential statistic in the other articles on our website. It will provide you a depth understanding of inferential statistic so that you can easily understand its application. So, if you like our article on inferential and descriptive statistics, then kindly share it with others as well.