## Statistical Analysis

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# What Is Statistical Analysis?

Statistical analysis helps you pull meaningful insights from data. The process involves working with data and deducing numbers to tell quantitative stories. Put another way, statistical analysis is a technique to find patterns in data and make inferences about those patterns to describe variability in the results of a data set or an experiment.

In its simplest form, statistical analysis answers questions about:

**Quantification**— how big/small/tall/wide is it?**Variability**— growth, increase, decline- The
**confidence level**of these variabilities

## What Are the 2 Types of Statistical Analysis?

**Descriptive Statistics:**Descriptive statistical analysis describes the quality of the data by summarizing large data sets into single measures.**Inferential Statistics:**Inferential statistical analysis allows you to draw conclusions from your sample data set and make predictions about a population using statistical tests.

## What’s the Purpose of Statistical Analysis?

Using statistical analysis, you can determine trends in the data by calculating your data set’s mean or median. You can also analyze the variation between different data points from the mean to get the standard deviation. Furthermore, to test the validity of your statistical analysis conclusions, you can use hypothesis testing techniques, like P-value, to determine the likelihood that the observed variability could have occurred by chance.

## Statistical Analysis Methods

There are two major types of statistical data analysis: descriptive and inferential.

### Descriptive Statistical Analysis

Descriptive statistical analysis describes the quality of the data by summarizing large data sets into single measures.

Within the descriptive analysis branch, there are two main types: **measures of central tendency** (i.e. mean, median and mode) and **measures of dispersion or variation** (i.e. variance, standard deviation and range).

For example, you can calculate the average exam results in a class using central tendency or, in particular, the mean. In that case, you’d sum all student results and divide by the number of tests. You can also calculate the data set’s spread by calculating the variance. To calculate the variance, subtract each exam result in the data set from the mean, square the answer, add everything together and divide by the number of tests.

### Inferential Statistics

On the other hand, inferential statistical analysis allows you to draw conclusions from your sample data set and make predictions about a population using statistical tests.

There are two main types of inferential statistical analysis: hypothesis testing and regression analysis. We use **hypothesis testing** to test and validate assumptions in order to draw conclusions about a population from the sample data. Popular tests include Z-test, F-Test, ANOVA test and confidence intervals. On the other hand, **regression analysis** primarily estimates the relationship between a dependent variable and one or more independent variables. There are numerous types of regression analysis but the most popular ones include linear and logistic regression.

## Statistical Analysis Steps

In the era of big data and data science, there is a rising demand for a more problem-driven approach. As a result, we must approach statistical analysis holistically. We may divide the entire process into five different and significant stages by using the well-known PPDAC model of statistics: Problem, Plan, Data, Analysis and Conclusion.

### 1. Problem

In the first stage, you define the problem you want to tackle and explore questions about the problem.

### 2. Plan

Next is the planning phase. You can check whether data is available or if you need to collect data for your problem. You also determine what to measure and how to measure it.

### 3. Data

The third stage involves data collection, understanding the data and checking its quality.

### 4. Analysis

Statistical data analysis is the fourth stage. Here you process and explore the data with the help of tables, graphs and other data visualizations. You also develop and scrutinize your hypothesis in this stage of analysis.

### 5. Conclusion

The final step involves interpretations and conclusions from your analysis. It also covers generating new ideas for the next iteration. Thus, statistical analysis is not a one-time event but an iterative process.

## Statistical Analysis Uses

Statistical analysis is useful for research and decision making because it allows us to understand the world around us and draw conclusions by testing our assumptions. Statistical analysis is important for various applications, including:

- Statistical quality control and analysis in product development
- Clinical trials
- Customer satisfaction surveys and customer experience research
- Marketing operations management
- Process improvement and optimization
- Training needs

## Benefits of Statistical Analysis

Here are some of the reasons why statistical analysis is widespread in many applications and why it’s necessary:

### Understand Data

Statistical analysis gives you a better understanding of the data and what they mean. These types of analyses provide information that would otherwise be difficult to obtain by merely looking at the numbers without considering their relationship.

### Find Causal Relationships

Statistical analysis can help you investigate causation or establish the precise meaning of an experiment, like when you’re looking for a relationship between two variables.

### Make Data-Informed Decisions

Businesses are constantly looking to find ways to improve their services and products. Statistical analysis allows you to make data-informed decisions about your business or future actions by helping you identify trends in your data, whether positive or negative.

### Determine Probability

Statistical analysis is an approach to understanding how the probability of certain events affects the outcome of an experiment. It helps scientists and engineers decide how much confidence they can have in the results of their research, how to interpret their data and what questions they can feasibly answer.

## What Are the Risks of Statistical Analysis?

Statistical analysis can be valuable and effective, but it’s an imperfect approach. Even if the analyst or researcher performs a thorough statistical analysis, there may still be known or unknown problems that can affect the results. Therefore, statistical analysis is not a one-size-fits-all process. If you want to get good results, you need to know what you’re doing. It can take a lot of time to figure out which type of statistical analysis will work best for your situation.

Thus, you should remember that our conclusions drawn from statistical analysis don’t always guarantee correct results. This can be dangerous when making business decisions. In marketing, for example, we may come to the wrong conclusion about a product. Therefore, the conclusions we draw from statistical data analysis are often approximated; testing for all factors affecting an observation is impossible.