{"id":58,"date":"2016-03-08T05:28:53","date_gmt":"2016-03-08T10:58:53","guid":{"rendered":"http:\/\/oleoresins.melbia.com\/anova-test-procedure.html"},"modified":"2021-07-02T11:22:40","modified_gmt":"2021-07-02T11:22:40","slug":"anova-test-procedure","status":"publish","type":"post","link":"https:\/\/www.melbia.com\/oleoresins\/anova-test-procedure.html","title":{"rendered":"ANOVA Test Procedure"},"content":{"rendered":"<p>ANNOVA test was performed to determine whether there are deviations due to varieties of chilli and effect of solvents.<\/p>\n<h2><span style=\"text-decoration: underline;\"><strong>ANOVA Test Procedure<\/strong><\/span><\/h2>\n<p>Table 6.1 is represented again. The detailed calculations are given below.<\/p>\n<div>\n<div>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"4\">\n<colgroup>\n<col width=\"127\" \/>\n<col width=\"128\" \/>\n<col width=\"120\" \/>\n<col width=\"136\" \/><\/colgroup>\n<tbody>\n<tr valign=\"TOP\">\n<td rowspan=\"3\" width=\"127\">chilli type<\/td>\n<td colspan=\"3\" width=\"400\">\n<div align=\"CENTER\">Solvents<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"128\">\n<div align=\"CENTER\">Acetone<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">Hexane<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">Ethyelenedichloride<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"128\">\n<div align=\"CENTER\">% of Extraction<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">% of Extraction<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">% of Extraction<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"127\">Byadgi chilli<\/td>\n<td width=\"128\">\n<div align=\"CENTER\">19.988<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">16.576<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">17.890<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"127\">Ramnad Mundu<\/td>\n<td width=\"128\">\n<div align=\"CENTER\">16.930<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">16.998<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">18.436<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"127\">Sattur Chilli<\/td>\n<td width=\"128\">\n<div align=\"CENTER\">18.105<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">17.390<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">17.070<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"127\">Guntur Sannam- S4 Type<\/td>\n<td width=\"128\">\n<div align=\"CENTER\">19.110<\/div>\n<\/td>\n<td width=\"120\">\n<div align=\"CENTER\">16.309<\/div>\n<\/td>\n<td width=\"136\">\n<div align=\"CENTER\">18.090<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>1) X1 = 18.533 X2 = 16.816 X3 = 17.87<\/p>\n<p>2) Total : 4 + 4 + 4 = 12 = n<\/p>\n<p>3) Find \u2211x = 19.988 + 16.93 + 18.105 + 19.11 + 16.567 + 16.998 + 17.39 + 16.309 + 17.89 + 18.436 + 17.07 + 18.09<br \/>\n= 212.883<\/p>\n<p>4) Find X = \u2211x \/ n = 17.74<\/p>\n<p>5) \u2211x2 = {19.9882 + 16.932 + 18.1052 + 19.112 + 16.5672 + 16.9982<br \/>\n+ 17.392 + 16.3092 + 17.892 + 18.4362 + 17.072 + 18.092}<br \/>\n= S x2<br \/>\n= 3789.483<\/p>\n<p>6) ( \u2211x )2 \/ n = 3776.598<\/p>\n<p>7) S x2 &#8211; ( \u2211x )2 \/ n = 12.885<\/p>\n<p>8) [ ( 19.988 + 16.93 + 18.105+ 19.11)2 \/ 4 + ( 16.567 + 16.998 + 17.39 + 16.309 )2 \/ 4 + ( 17.89 + 18.436 + 17.07 + 18.09)2 \/ 4 ] &#8211; ( \u2211x )2 \/ n<br \/>\n= [1373.925 + 1131.11 + 1277.56 ] &#8211; 3776.598<br \/>\n= 3782.595 \u2013 3776.598<br \/>\n= 5.999<\/p>\n<p>9) Find : 7) &#8211; 8) = 12.885 &#8211; 5.999<br \/>\n= 6.886<\/p>\n<p>10) Degree of freedom : a) n-1 = 12-1 =11<br \/>\nb) 3-1 = 2<br \/>\nFind : 11-2 = 9<\/p>\n<p>11) Find Variance:<br \/>\nBetween groups = 8) \/ 2 = y1 = 2.99<br \/>\nWithin groups = 9) \/ 11 = y2 = 0.626<\/p>\n<\/div>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"4\">\n<colgroup>\n<col width=\"140\" \/>\n<col width=\"115\" \/>\n<col width=\"144\" \/>\n<col width=\"111\" \/> <\/colgroup>\n<tbody>\n<tr valign=\"TOP\">\n<td width=\"140\"><\/td>\n<td width=\"115\">Sum of Squares<\/td>\n<td width=\"144\">\n<div>Degree of Freedom<\/div>\n<\/td>\n<td width=\"111\">Mean Square<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"140\">Between Groups<\/td>\n<td width=\"115\">\n<div align=\"CENTER\">5.998<\/div>\n<\/td>\n<td width=\"144\">\n<div align=\"CENTER\">2<\/div>\n<\/td>\n<td width=\"111\">\n<div align=\"CENTER\">2.999<\/div>\n<\/td>\n<\/tr>\n<tr valign=\"TOP\">\n<td width=\"140\">Within Groups<\/td>\n<td width=\"115\">\n<div align=\"CENTER\">6.886<\/div>\n<\/td>\n<td width=\"144\">\n<div align=\"CENTER\">9<\/div>\n<\/td>\n<td width=\"111\">\n<div align=\"CENTER\">0.626<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Therefore , F = 2.999\/0.626 = 4.79<\/p>\n<p>We have to check F table at 2 degree of freedom and at 9 degree of freedom at 5% significant level<\/p>\n<p>Comparing F test values from the analysis with the standard table ( Table .6.3) 2 &amp; 9 degrees of freedom F 2\/9 at 95% confidence = 4.3<\/p>\n<p>The analysis showed F annova = 4.79<\/p>\n<p>Since Fannova &gt; Ftable , this shows there is effect of sources of chilli and solvents .<\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANNOVA test was performed to determine whether there are deviations due to varieties of chilli and effect of solvents. ANOVA Test Procedure Table 6.1 is represented again. The detailed calculations&#8230; <a href=\"https:\/\/www.melbia.com\/oleoresins\/anova-test-procedure.html\">Read more &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/posts\/58"}],"collection":[{"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/comments?post=58"}],"version-history":[{"count":1,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/posts\/58\/revisions"}],"predecessor-version":[{"id":114,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/posts\/58\/revisions\/114"}],"wp:attachment":[{"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/media?parent=58"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/categories?post=58"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.melbia.com\/oleoresins\/wp-json\/wp\/v2\/tags?post=58"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}