{"id":2566,"date":"2023-03-03T10:13:03","date_gmt":"2023-03-03T10:13:03","guid":{"rendered":"https:\/\/pickl.ai\/blog\/?p=2566"},"modified":"2024-08-13T09:23:54","modified_gmt":"2024-08-13T09:23:54","slug":"what-is-statistical-analysis","status":"publish","type":"post","link":"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/","title":{"rendered":"Statistical Analysis- Types, Methods &amp; Examples"},"content":{"rendered":"<p><b>Summary: <\/b><span style=\"font-weight: 400;\">Statistical analysis is a crucial tool for making informed decisions. It involves using various methods to summarise, analyse, and draw conclusions from data. From descriptive statistics to inferential statistics and predictive analytics, statistical analysis helps in understanding patterns, making predictions, and driving business outcomes.<\/span><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Introduction\" >Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Types_of_Statistical_Analysis\" >Types of Statistical Analysis<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Descriptive_Statistics\" >Descriptive Statistics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Inferential_Statistics\" >Inferential Statistics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Predictive_Analysis\" >Predictive Analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Prescriptive_Analysis\" >Prescriptive Analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Exploratory_Data_Analysis\" >Exploratory Data Analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Causal_Analysis\" >Causal Analysis<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Basic_Methods_of_Statistical_Analysis\" >Basic Methods of Statistical Analysis<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Mean\" >Mean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Standard_Deviation\" >Standard Deviation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Regression\" >Regression<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Hypothesis_Testing\" >Hypothesis Testing<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Statistical_Analysis_example_using_Mean_Method\" >Statistical Analysis example using Mean Method<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Statistical_Analysis_Example_using_Regression_Method\" >Statistical Analysis Example using Regression Method<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Example_Simple_Linear_Regression\" >Example: Simple Linear Regression<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Conclusion\" >Conclusion<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Frequently_Asked_Questions\" >Frequently Asked Questions<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#What_are_the_Different_Types_of_Statistical_Analysis\" >What are the Different Types of Statistical Analysis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#What_are_the_Basic_Methods_of_Statistical_Analysis\" >What are the Basic Methods of Statistical Analysis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/#Can_You_Provide_an_Example_of_Statistical_Analysis_in_Real-Life\" >Can You Provide an Example of Statistical Analysis in Real-Life?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 id=\"introduction\"><span class=\"ez-toc-section\" id=\"Introduction\"><\/span><b>Introduction<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Statistics is an important part of Data Science where using Statistical Analysis, organisations can derive the value of the data input and evaluate meaningful conclusions. There are different types of statistical analysis techniques that are essential for application in various industries with a wide range of data.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Moreover, it is important to know the different methods of statistical Analysis and the ways to use them for exploring data, finding patterns and identifying market trends.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Read this blog to find out more about What is Statistical Analysis and the different types and methods of statistical Analysis.<\/span><\/p>\n<p><b>What is Statistical Analysis?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Statistical Analysis refers to the procedure where business organisations make sense of large volumes of data and helps guide their decision-making process. It is performed on datasets where the analysis creates different types of output based on the input data.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For instance, statistical analysis can summarise data, derive the values from the input data, provide input data characteristics, prove a null hypothesis, etc. The output varies based on the method of Analysis.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Statistical Analysis is crucial for governmental organisations as well as business management professionals. Moreover, it helps the experts within an organisation understand the complexities involved in a business scenario and the association of the data.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Using statistical data, it is possible to generate information that derives political theory, campaign strategy and development of policies.<\/span><\/p>\n<h2 id=\"types-of-statistical-analysis\"><span class=\"ez-toc-section\" id=\"Types_of_Statistical_Analysis\"><\/span><b>Types of Statistical Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"radius-5 alignnone wp-image-12666 size-full\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1.jpg\" alt=\"Types of Statistical Analysis\" width=\"1000\" height=\"333\" srcset=\"https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1.jpg 1000w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-300x100.jpg 300w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-768x256.jpg 768w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-110x37.jpg 110w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-200x67.jpg 200w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-380x127.jpg 380w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-255x85.jpg 255w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-550x183.jpg 550w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-800x266.jpg 800w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-1-150x50.jpg 150w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">There are two main types of Statistical Analysis- <\/span><a href=\"https:\/\/pickl.ai\/blog\/difference-between-descriptive-and-inferential-statistics-with-examples\/\"><span style=\"font-weight: 400;\">Descriptive Statistics and Inferential Statistics<\/span><\/a><span style=\"font-weight: 400;\">. The explanation of these two types is given below:<\/span><\/p>\n<h3 id=\"descriptive-statistics\"><span class=\"ez-toc-section\" id=\"Descriptive_Statistics\"><\/span><b>Descriptive Statistics<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">The process of collecting, organising, analysing and summarising datasets and presenting them in an understandable form using graphs, charts and tables is known as Descriptive Statistics.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">With Descriptive Statistics, it is possible to make large datasets presentable and eliminates major complexities for Data Analysts to analyse the data. The format of the summarised data can be quantitative or visual.<\/span><\/p>\n<h3 id=\"inferential-statistics\"><span class=\"ez-toc-section\" id=\"Inferential_Statistics\"><\/span><b>Inferential Statistics<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">With the help of inferential statistics, it is possible to determine the inference of a large population group. Inferential Statistics focuses on the Analysis and findings of the large sample data that is gained from a large population.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">It makes the process cost-efficient and time-saving as well. Furthermore, it includes the development of interval estimates and points estimates for conducting Analysis.<\/span><\/p>\n<h3 id=\"predictive-analysis\"><span class=\"ez-toc-section\" id=\"Predictive_Analysis\"><\/span><b>Predictive Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">This<\/span><a href=\"https:\/\/pickl.ai\/blog\/complete-guide-to-predictive-modelling\/\"> <span style=\"font-weight: 400;\">analysis<\/span><\/a><span style=\"font-weight: 400;\"> is useful for forecasting future events based on present and past data. Accordingly, it uses machine learning tools, data mining processes, big data, predictive modelling, artificial intelligence and simulations for Predictive Analysis.<\/span><\/p>\n<h3 id=\"prescriptive-analysis\"><span class=\"ez-toc-section\" id=\"Prescriptive_Analysis\"><\/span><b>Prescriptive Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">The<\/span><a href=\"https:\/\/en.wikipedia.org\/wiki\/Prescriptive_analytics\"> <span style=\"font-weight: 400;\">Prescriptive Analysis<\/span><\/a><span style=\"font-weight: 400;\"> helps in prescribing the best possible outcome for assessing datasets. Moreover, it helps make informed decisions and encourages efficient decision-making processes.<\/span><\/p>\n<h3 id=\"exploratory-data-analysis\"><span class=\"ez-toc-section\" id=\"Exploratory_Data_Analysis\"><\/span><b>Exploratory Data Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">It studies datasets to highlight the major features of the data. Accordingly, the use of this type of Analysis is undertaken with statistical graphics or other visualisation approaches.<\/span><\/p>\n<h3 id=\"causal-analysis\"><span class=\"ez-toc-section\" id=\"Causal_Analysis\"><\/span><b>Causal Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">It analyses the issues of an event and identifies the reason behind them. Effectively, using <\/span><a href=\"https:\/\/pickl.ai\/blog\/what-is-data-analytics-in-data-science\/\"><span style=\"font-weight: 400;\">Data Analytics<\/span><\/a><span style=\"font-weight: 400;\">, it is possible to analyse and find the reasons for unacceptable outcomes or failures in a business or business activities.<\/span><\/p>\n<h2 id=\"basic-methods-of-statistical-analysis\"><span class=\"ez-toc-section\" id=\"Basic_Methods_of_Statistical_Analysis\"><\/span><b>Basic Methods of Statistical Analysis<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Here we will dig deeper into the fundamental methods of statistical analysis, including calculating mean, median, and mode, performing regression analysis, and conducting hypothesis testing. By mastering these techniques, you&#8217;ll be equipped to effectively analyse and interpret data, making informed decisions and driving business outcomes.<\/span><\/p>\n<h3 id=\"mean\"><span class=\"ez-toc-section\" id=\"Mean\"><\/span><b>Mean<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Calculating the mean involves finding the sum of all the numbers in a list and dividing the answer by the total number of items in the list. Effectively, it is one of the simplest forms of Statistical Analysis, which allows a user to determine the central point in a dataset. Accordingly, the formula for calculating the mean is:<\/span><\/p>\n<p><b>Mean = Set of numbers\/ number of items.<\/b><\/p>\n<h3 id=\"standard-deviation\"><span class=\"ez-toc-section\" id=\"Standard_Deviation\"><\/span><b>Standard Deviation<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Standard Deviation is the method that helps determine how data can be spread around the mean, implying the dispersion of data points. Accordingly, a high standard deviation means that data dispersion is wider from the mean, and low standard Deviation implies that data is closer to the mean. To calculate standard Deviation, here is the formula you can use:<\/span><\/p>\n<p><b>\u03c32 = \u03a3(x \u2212 \u03bc)2\/n<\/b><\/p>\n<p><span style=\"font-weight: 400;\">\u03c3 represents the Standard Deviation<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u03a3 represents the sum of the data<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x represents the value of the dataset<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u03bc represents the mean of the data<\/span><\/p>\n<p><span style=\"font-weight: 400;\">n represents the number of data points in the population<\/span><\/p>\n<h3 id=\"regression\"><span class=\"ez-toc-section\" id=\"Regression\"><\/span><b>Regression<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/pickl.ai\/blog\/a-tale-of-regression-and-regressiveness\/\"><span style=\"font-weight: 400;\">Regression<\/span><\/a><span style=\"font-weight: 400;\"> is the method in Statistical Analysis which helps in finding the relationship between a dependent and independent variable. Significantly, it helps in tracking the changes in one variable and how it affects the changes in another.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">With the help of the regression method, it is possible to show whether the relationship between two variables is strong or weak or will vary over time. The regression formula is:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Y = a + b(x)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Where,<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Y represents the independent variable<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x represents the dependent variable<\/span><\/p>\n<p><span style=\"font-weight: 400;\">a represents the y-intercept or the value of y when x is equal to 0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">b represents the slope of the regression graph.<\/span><\/p>\n<h3 id=\"hypothesis-testing\"><span class=\"ez-toc-section\" id=\"Hypothesis_Testing\"><\/span><b>Hypothesis Testing<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/pickl.ai\/blog\/hypothesis-testing-in-statistics\/\"><span style=\"font-weight: 400;\">Hypothesis Testing<\/span><\/a><span style=\"font-weight: 400;\"> is the statistical analysis method where you test if a conclusion is valid for a specific dataset by comparing against a set of assumptions.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The test result can help nullify the hypothesis, in which case it becomes a <\/span><a href=\"https:\/\/en.wikipedia.org\/wiki\/Null_hypothesis\"><span style=\"font-weight: 400;\">null hypothesis<\/span><\/a><span style=\"font-weight: 400;\"> or hypothesis 0. Additionally, anything that stands against or violates hypothesis 0 is the first hypothesis or hypothesis 1.<\/span><\/p>\n<h2 id=\"statistical-analysis-example-using-mean-method\"><span class=\"ez-toc-section\" id=\"Statistical_Analysis_example_using_Mean_Method\"><\/span><b>Statistical Analysis example using Mean Method<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Statistical analysis involves the collection and interpretation of data to make informed decisions. One of the most basic and widely used methods in statistical analysis is the <\/span><b>Mean Method<\/b><span style=\"font-weight: 400;\">. Here\u2019s an example of how to calculate the mean of a data set:<\/span><\/p>\n<p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculating the Mean of a Data Set<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suppose we have the following data set: 24, 3, 15, 6, 2.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Add the numbers together<\/b><span style=\"font-weight: 400;\">:<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">24+3+15+6+2=5024+3+15+6+2=50<\/span><\/p>\n<p style=\"text-align: left;\">\u00a0 \u00a0 \u00a02.<b> Divide by the number of data points<\/b><span style=\"font-weight: 400;\">:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">50\u00f75=1050\u00f75=10<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Conclusion<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The mean of this data set is <\/span><b>10<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><b>Explanation<\/b><\/p>\n<p><span style=\"font-weight: 400;\">The mean is the average of all the data points in a set. It is calculated by adding all the data points and then dividing by the number of data points. This method is simple to understand and widely used in various fields, including finance, education, and research<\/span><\/p>\n<h2 id=\"statistical-analysis-example-using-regression-method\"><span class=\"ez-toc-section\" id=\"Statistical_Analysis_Example_using_Regression_Method\"><\/span><b>Statistical Analysis Example using Regression Method<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Statistical analysis involves the collection and interpretation of data to make informed decisions. One of the most widely used methods in statistical analysis is the <\/span><b>Regression Method<\/b><span style=\"font-weight: 400;\">. Here\u2019s an example of how to perform regression analysis:<\/span><\/p>\n<h3 id=\"example-simple-linear-regression\"><span class=\"ez-toc-section\" id=\"Example_Simple_Linear_Regression\"><\/span><b>Example: Simple Linear Regression<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Suppose we want to understand the relationship between a company&#8217;s stock price (dependent variable) and the company&#8217;s quarterly earnings (independent variable). For several quarters, we collect historical data on the company&#8217;s earnings and stock prices.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Collect Data<\/b><span style=\"font-weight: 400;\">:<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Stock Price (dependent variable)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Quarterly Earnings (independent variable)<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Plot the Data<\/b><span style=\"font-weight: 400;\">:<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Create a scatter plot to visualize the relationship between the two variables.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Calculate the Regression Line<\/b><span style=\"font-weight: 400;\">:<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Use the data to calculate the regression equation, which represents the best-fitting line through the data points.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Interpret the Results<\/b><span style=\"font-weight: 400;\">:<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">The regression line will provide an equation that can be used to predict future stock prices based on quarterly earnings.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><b>Example Calculation<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Suppose we have the following data:<\/span><\/p>\n<p><img decoding=\"async\" class=\"radius-5 alignnone wp-image-12667 size-full\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table.png\" alt=\"Statistical Analysis Example using Regression Method\" width=\"546\" height=\"211\" srcset=\"https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table.png 546w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-300x116.png 300w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-110x43.png 110w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-200x77.png 200w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-380x147.png 380w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-255x99.png 255w, https:\/\/www.pickl.ai\/blog\/wp-content\/uploads\/2023\/03\/Statistical-Analysis-table-150x58.png 150w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/p>\n<p><b>Model:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Y = a + bX<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Y: Predicted price<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">X: House size<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">a: Intercept<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">b: Slope<\/span><\/li>\n<\/ul>\n<p><b>Calculations:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Mean of X (x\u0304) = (1500 + 1800 + 1200 + 2200 + 1600) \/ 5 = 1660<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Mean of Y (\u0233) = (200 + 250 + 180 + 300 + 220) \/ 5 = 230<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03a3XY = 1500<\/span><i><span style=\"font-weight: 400;\">200 + 1800<\/span><\/i><span style=\"font-weight: 400;\">250 + 1200<\/span><i><span style=\"font-weight: 400;\">180 + 2200<\/span><\/i><span style=\"font-weight: 400;\">300 + 1600*220 = 1890000<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03a3X\u00b2 = 1500\u00b2 + 1800\u00b2 + 1200\u00b2 + 2200\u00b2 + 1600\u00b2 = 14100000<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03a3Y\u00b2 = 200\u00b2 + 250\u00b2 + 180\u00b2 + 300\u00b2 + 220\u00b2 = 259000<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">n = 5<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">b = (n\u03a3XY &#8211; \u03a3X\u03a3Y) \/ (n\u03a3X\u00b2 &#8211; (\u03a3X)\u00b2) = (5<\/span><i><span style=\"font-weight: 400;\">1890000 &#8211; 1660<\/span><\/i><span style=\"font-weight: 400;\">1150) \/ (5*1410000 &#8211; 1660\u00b2) = 0.08<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">a = \u0233 &#8211; b<\/span><i><span style=\"font-weight: 400;\">x\u0304 = 230 &#8211; 0.08<\/span><\/i><span style=\"font-weight: 400;\">1660 = 76.8<\/span><\/li>\n<\/ul>\n<p><b>Regression Equation:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Price = 76.8 + 0.08 * Size<\/span><\/li>\n<\/ul>\n<p><b>Interpretation:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">For every additional square foot of size, the price increases by $80.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The base price of a house (with zero size) is $76,800.<\/span><\/li>\n<\/ul>\n<p><b>Note:<\/b><span style=\"font-weight: 400;\"> This is a simple example for illustrative purposes. In real-world scenarios, more complex models and statistical tests would be used.<\/span><\/p>\n<h2 id=\"conclusion\"><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span><b>Conclusion<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Hence, Statistical Analysis is a crucial part of Data Science and the different types and methods of Statistical Analysis. Moreover, Data Scientists use different methods and techniques to analyse datasets within organisations where statistical inferences become important.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">While it is not necessary for you to have a statistical background to <\/span><a href=\"https:\/\/pickl.ai\/blog\/how-to-become-a-data-scientist-in-2023\/\"><span style=\"font-weight: 400;\">become a Data Scientist<\/span><\/a><span style=\"font-weight: 400;\"> or Data Analyst, developing statistical skills will only make you more efficient in the field.<\/span><\/p>\n<h2 id=\"frequently-asked-questions\"><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><b>Frequently Asked Questions<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 id=\"what-are-the-different-types-of-statistical-analysis\"><span class=\"ez-toc-section\" id=\"What_are_the_Different_Types_of_Statistical_Analysis\"><\/span><b>What are the Different Types of Statistical Analysis?<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Statistical analysis can be categorized into three main types: descriptive statistics, inferential statistics, and predictive analytics. Descriptive statistics summarize data, inferential statistics make inferences about a population, and predictive analytics forecast future outcomes.<\/span><\/p>\n<h3 id=\"what-are-the-basic-methods-of-statistical-analysis\"><span class=\"ez-toc-section\" id=\"What_are_the_Basic_Methods_of_Statistical_Analysis\"><\/span><b>What are the Basic Methods of Statistical Analysis?<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">The basic methods of statistical analysis include calculating measures of central tendency (mean, median, mode), measures of dispersion (range, variance), and performing regression analysis to understand relationships between variables.<\/span><\/p>\n<h3 id=\"can-you-provide-an-example-of-statistical-analysis-in-real-life\"><span class=\"ez-toc-section\" id=\"Can_You_Provide_an_Example_of_Statistical_Analysis_in_Real-Life\"><\/span><b>Can You Provide an Example of Statistical Analysis in Real-Life?<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Yes, an example of statistical analysis in real-life is using regression analysis to understand the relationship between a company&#8217;s stock price and its quarterly earnings. By analysing historical data, companies can predict future stock prices and make informed investment decisions.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"Unlock the potential of statistical analysis for data-driven insights.\n","protected":false},"author":9,"featured_media":12670,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2346],"tags":[707,2611,709,708,706],"ppma_author":[2170,2178],"class_list":{"0":"post-2566","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-statistics","8":"tag-methods-of-statistical-analysis","9":"tag-statistical-analysis","10":"tag-statistical-analysis-examples","11":"tag-types-of-statistical-analysis","12":"tag-what-is-statistical-analysis"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Statistical Analysis: A Comprehensive Overview<\/title>\n<meta name=\"description\" content=\"Discover the power of statistical analysis in understanding and interpreting data, from descriptive statistics to inferential statistics and predictive analytics.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.pickl.ai\/blog\/what-is-statistical-analysis\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistical Analysis- Types, Methods &amp; 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I am a passionate writer, an ardent learner and a dedicated individual. With around 3years of experience in writing, I have developed the knack of using words with a creative flow. Writing motivates me to conduct research and inspires me to intertwine words that are able to lure my audience in reading my work. My biggest motivation in life is my mother who constantly pushes me to do better in life. 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