{"id":72,"date":"2018-06-06T21:30:00","date_gmt":"2018-06-06T19:30:00","guid":{"rendered":"https:\/\/kindsonthegenius.com\/blog\/2018\/06\/06\/advanced-statistics-quiz-9-concepts-from-factor-analysis-and-pca\/"},"modified":"2020-08-22T08:53:13","modified_gmt":"2020-08-22T06:53:13","slug":"advanced-statistics-quiz-9-concepts-from-factor-analysis-and-pca","status":"publish","type":"post","link":"https:\/\/kindsonthegenius.com\/blog\/advanced-statistics-quiz-9-concepts-from-factor-analysis-and-pca\/","title":{"rendered":"Advanced Statistics Quiz 9 &#8211; Concepts from Factor Analysis and PCA"},"content":{"rendered":"<p>I&#8217;m here to help you understand some of the advanced concepts of statistics.<br \/>\nToday&#8217;s quiz would be based on the concept of Factor Analysis. I guess you will find it clear and interesting.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 1: Briefly explain Factor Analysis?<\/b><br \/>\nFactor analysis is a statistical procedure used to draw inferences on quantities that cannot be quantified numerically. Quantities such as intelligence, friendliness and patriotism.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 2: What is the goal of Factor Analysis?<\/b><br \/>\nThe objective a factor analysis is to describe the correlation between p measured attributes in terms of variation in few underlying unobservable factors.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 3: Explain Communality and Uniqueness in Factor Analysis<\/b><br \/>\nThese explains the variation caused by the different factors under consideration. The portion of the variance that is contributed by the k common factors is the communality and the portion that is not explained by the common factor is the uniqueness also known as specific variance<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 4: Outline the various methods of carrying out Factor Analysis problem<\/b><\/p>\n<ul>\n<li>Maximum Likelihood Method<\/li>\n<li>Least Squares Method<\/li>\n<li>Principal Components<\/li>\n<li>Alpha Factoring<\/li>\n<li>Image Factoring<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>Question 5:\u00a0 What is the concept of Rotation in Factor Analysis?<\/b><br \/>\nRotation is the process of obtaining a different set of loadings by multiplying\u00a0 the loadings by an orthogonal matrix chosen based on a specific criteria.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 6: Outline and explain the types of rotations you know?<\/b><br \/>\n<i>Varimax<\/i>: Orthogonal rotation that minimizes the number of variables that have high loadings on each other. It simplifies interpretation of factors<br \/>\n<i>Quartimax<\/i>: A rotation mentod that minimizes the number of factors needed to explain each variable. It simplifies interpretation of observed variable<br \/>\n<i>Equamax<\/i>:A mixed rotation method which is a combination of the Varimax and the Quatimax methods.<br \/>\n<i>Direct Oblimin<\/i>: Non-orthogonal rotation<br \/>\n<i>Promax Rotation<\/i>: Non-orthogonal rotation\u00a0 that allows correlation of factors.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 7: What is Keiser-Meyer-Olkin(KMO) Test used for?<\/b><br \/>\nThe KMO is a measure of how suitable the available data is to be used for Factor Analysis. The value of the KMO statistic ranges from 0 to 1.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 8: What is Principal Component Analysis(PCA)?<\/b><br \/>\nPCA is a variance-maximization procedure that aims are transforming a set of features into\u00a0 few principal components<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 9: How if Principal Component Analysis Performed?<\/b><\/p>\n<ul>\n<li>Compute teh sample covariance matrix<\/li>\n<li>Compute the eigenvalues<\/li>\n<li>Choose a dimension k<\/li>\n<li>Define the dimension reduced data<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>Question 10: Briefly Explain Bartlett&#8217;s Test of Sphericity<\/b><br \/>\nBartlett&#8217;s test is a measure of sampling adequacy and relates to the significance of the study and just like the KMO, test how suitable the data is.<\/p>\n<p>Take some time to get used to these concepts in your own word and I would like to thank you or reading!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;m here to help you understand some of the advanced concepts of statistics. Today&#8217;s quiz would be based on the concept of Factor Analysis. I &hellip; <\/p>\n","protected":false},"author":2,"featured_media":602,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[15,552],"tags":[],"_links":{"self":[{"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/posts\/72"}],"collection":[{"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/comments?post=72"}],"version-history":[{"count":2,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/posts\/72\/revisions"}],"predecessor-version":[{"id":603,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/posts\/72\/revisions\/603"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/media\/602"}],"wp:attachment":[{"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/media?parent=72"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/categories?post=72"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kindsonthegenius.com\/blog\/wp-json\/wp\/v2\/tags?post=72"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}