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	<id>https://wiki.zcubes.com/index.php?action=history&amp;feed=atom&amp;title=Manuals%2Fcalci%2FANOVATWOFACTORWITHREPLICATION</id>
	<title>Manuals/calci/ANOVATWOFACTORWITHREPLICATION - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.zcubes.com/index.php?action=history&amp;feed=atom&amp;title=Manuals%2Fcalci%2FANOVATWOFACTORWITHREPLICATION"/>
	<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;action=history"/>
	<updated>2026-04-27T21:15:27Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=211095&amp;oldid=prev</id>
		<title>Devika at 21:56, 17 August 2018</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=211095&amp;oldid=prev"/>
		<updated>2018-08-17T21:56:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:56, 17 August 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=ANOVATWOFACTORWITHREPLICATION(Array, Alpha, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;NumberOfSamples&lt;/del&gt;, NewTableFlag)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;=&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot;font-size:30px&amp;quot;&amp;gt;'''&lt;/ins&gt;ANOVATWOFACTORWITHREPLICATION (Array,Alpha,&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;NumberofSamplesPerRow&lt;/ins&gt;,NewTableFlag) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*where, &amp;lt;math&amp;gt;Array&amp;lt;/math&amp;gt; is an array of numbers or reference to cells containing array&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*where, &amp;lt;math&amp;gt;Array&amp;lt;/math&amp;gt; is an array of numbers or reference to cells containing array&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot; &gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;NumberOfSamples&amp;lt;/math&amp;gt; represents the number of samples in an array   &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;NumberOfSamples&amp;lt;/math&amp;gt; represents the number of samples in an array   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;NewTableFlag&amp;lt;/math&amp;gt; that decides to display the output in the same worksheet or a new space cube.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;NewTableFlag&amp;lt;/math&amp;gt; that decides to display the output in the same worksheet or a new space cube.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;**&lt;/ins&gt;ANOVATWOFACTORWITHREPLICATION()&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/ins&gt;performs an analysis of variances between &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;more &lt;/ins&gt;more data sets&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.This should be used when you have more than one sample from each data set&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;ANOVATWOFACTORWITHREPLICATION() performs an analysis of variances between &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;two or &lt;/del&gt;more data sets.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Description ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Description ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Devika</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=207489&amp;oldid=prev</id>
		<title>Jayaram at 13:02, 14 March 2017</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=207489&amp;oldid=prev"/>
		<updated>2017-03-14T13:02:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:02, 14 March 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l176&quot; &gt;Line 176:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 176:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[http://en.wikipedia.org/wiki/Analysis_of_variance ANOVA]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[http://en.wikipedia.org/wiki/Analysis_of_variance ANOVA]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[http://en.wikipedia.org/wiki/Analysis_of_variance#ANOVA_for_multiple_factors Anova Multiple Factors]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[http://en.wikipedia.org/wiki/Analysis_of_variance#ANOVA_for_multiple_factors Anova Multiple Factors]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Z_API_Functions | List of Main Z Functions]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[ Z3 |   Z3 home ]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jayaram</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=200977&amp;oldid=prev</id>
		<title>Swapna at 18:23, 28 April 2015</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=200977&amp;oldid=prev"/>
		<updated>2015-04-28T18:23:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:23, 28 April 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l162&quot; &gt;Line 162:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 162:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| 23&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| 23&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Related Videos==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{#ev:youtube|j9ZPMlVHJVs|280|center|ANOVA}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Swapna</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=197044&amp;oldid=prev</id>
		<title>Swapna at 22:31, 6 January 2014</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=197044&amp;oldid=prev"/>
		<updated>2014-01-06T22:31:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;//wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;amp;diff=197044&amp;amp;oldid=277&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Swapna</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=277&amp;oldid=prev</id>
		<title>MassBot1: Created page with &quot;&lt;div id=&quot;6SpaceContent&quot; class=&quot;zcontent&quot; align=&quot;left&quot;&gt;Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.&lt;/div&gt;  --...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/ANOVATWOFACTORWITHREPLICATION&amp;diff=277&amp;oldid=prev"/>
		<updated>2013-10-25T02:29:42Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;div id=&amp;quot;6SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.&amp;lt;/div&amp;gt;  --...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div id=&amp;quot;6SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;1SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;ANOVA :Two-Factor with replication performs an analysis of variances between two more data sets. And used when we have more than one sample from each data set.&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;7SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
ANOVATWOFACTORWITHREPLICATION  returns #ERROR, if Alpha &amp;amp;lt;0 or Alpha &amp;amp;gt;1.&lt;br /&gt;
&lt;br /&gt;
It returns the #ERROR, when length of Array != length of NumberofSample.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;12SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
ANOVA : TWO - FACTOR WITH REPLICATION&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;10SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;justify&amp;quot;&amp;gt;what is ANOVA?&amp;lt;/div&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot;&amp;gt;&amp;lt;center&amp;gt;&amp;lt;/center&amp;gt;&amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;4SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;justify&amp;quot;&amp;gt;Remarks &amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;3SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;justify&amp;quot;&amp;gt;Examples &amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;11SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;justify&amp;quot;&amp;gt;Description &amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;9SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot; align=&amp;quot;justify&amp;quot;&amp;gt;Syntax&amp;lt;/div&amp;gt;&amp;lt;div class=&amp;quot;ZEditBox&amp;quot;&amp;gt;&amp;lt;center&amp;gt;&amp;lt;/center&amp;gt;&amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;5SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;nowiki&amp;gt;=&amp;lt;/nowiki&amp;gt;'''ANOVATWOFACTORWITHREPLICATION'''(Array, NumberofSample, Alpha, NewTableFlag)&lt;br /&gt;
&lt;br /&gt;
where,&lt;br /&gt;
&lt;br /&gt;
'''Array '''- Input range should be one or two blocks.&lt;br /&gt;
&lt;br /&gt;
'''Alpha '''- is the constant in between 0 and 1.&lt;br /&gt;
&lt;br /&gt;
'''NumberofSample''' - Input range should be one blocks.&lt;br /&gt;
&lt;br /&gt;
'''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE, the result in new sheet.If NewTableFlag is omitted, it assumed to be false.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;14SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Lets see an example in (Column3 , Row1)&lt;br /&gt;
&lt;br /&gt;
&amp;lt;nowiki&amp;gt;=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2, 2, 0.01, TRUE) &amp;lt;/nowiki&amp;gt;&lt;br /&gt;
&lt;br /&gt;
ANOVATWOFACTORWITHREPLICATION  returns the result in new sheet(13Space).&lt;br /&gt;
&lt;br /&gt;
&amp;lt;nowiki&amp;gt;=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2 , 2,-0.05, FALSE)&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
&lt;br /&gt;
It returns the #ERROR(Alpha &amp;amp;gt;1 or Alpha&amp;amp;lt;0)&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;2SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| id=&amp;quot;TABLE3&amp;quot; class=&amp;quot;SpreadSheet blue&amp;quot;&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot; &amp;quot; |&lt;br /&gt;
| class=&amp;quot;   &amp;quot; | Column1&lt;br /&gt;
| class=&amp;quot;   &amp;quot; | Column2&lt;br /&gt;
| class=&amp;quot;   &amp;quot; | Column3&lt;br /&gt;
| Column4&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot; &amp;quot; | Row1&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 1&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 3&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | 13Space&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | 5&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row2&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 2&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 5&lt;br /&gt;
| class=&amp;quot;sshl_f   &amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | #ERROR&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row3&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 6&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 41&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f SelectTD1 ChangeBGColor SelectTD1&amp;quot; |&lt;br /&gt;
&amp;lt;div id=&amp;quot;2Space_Handle&amp;quot; class=&amp;quot;zhandles&amp;quot; title=&amp;quot;Click and Drag to resize CALCI Column/Row/Cell. It is EZ!&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;&amp;lt;div id=&amp;quot;2Space_Copy&amp;quot; class=&amp;quot;zhandles&amp;quot; title=&amp;quot;Click and Drag over to AutoFill other cells.&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;&amp;lt;div id=&amp;quot;2Space_Drag&amp;quot; class=&amp;quot;zhandles&amp;quot; title=&amp;quot;Click and Drag to Move/Copy Area.&amp;quot;&amp;gt;[[Image:copy-cube.gif]]  &amp;lt;/div&amp;gt;&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row4&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 8&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 45&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row5&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 9&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 56&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row6&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 10&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 8&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row7&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 7&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 8&lt;br /&gt;
| 9&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | 128&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row8&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 12&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 5&lt;br /&gt;
| 14&lt;br /&gt;
| class=&amp;quot;sshl_f    &amp;quot; | 15&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row9&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 17&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 18&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | 10000&lt;br /&gt;
| class=&amp;quot;  &amp;quot; | 20&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row10&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 72&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 31&lt;br /&gt;
| 23&lt;br /&gt;
| 40&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row11&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 6&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 3&lt;br /&gt;
| 1.619775&lt;br /&gt;
| 0.525322&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; | Row12&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 2&lt;br /&gt;
| class=&amp;quot; &amp;quot; | 7&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
| class=&amp;quot;sshl_f&amp;quot; |&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div align=&amp;quot;left&amp;quot;&amp;gt;[[Image:calci1.gif]]&amp;lt;/div&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&amp;lt;div id=&amp;quot;8SpaceContent&amp;quot; class=&amp;quot;zcontent&amp;quot; align=&amp;quot;left&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| id=&amp;quot;TABLE1&amp;quot; class=&amp;quot;SpreadSheet blue&amp;quot;&lt;br /&gt;
|+ Anova: Two-Factor With Replication&amp;lt;br /&amp;gt;SUMMARY&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
! Groups&lt;br /&gt;
! Count&lt;br /&gt;
! Sum&lt;br /&gt;
! Average&lt;br /&gt;
! Variance&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| Array1&lt;br /&gt;
| 12&lt;br /&gt;
| 152&lt;br /&gt;
| 12.666666666666666&lt;br /&gt;
| 369.69696969696974&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| Array2&lt;br /&gt;
| 12&lt;br /&gt;
| 230&lt;br /&gt;
| 19.166666666666668&lt;br /&gt;
| 360.3333333333333&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| id=&amp;quot;TABLE2&amp;quot; class=&amp;quot;SpreadSheet blue&amp;quot;&lt;br /&gt;
|+ &amp;lt;br /&amp;gt;ANOVA&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
! Source of Variation&lt;br /&gt;
! Sum of Squares&lt;br /&gt;
! Degree of Freedom&lt;br /&gt;
! Mean Square&lt;br /&gt;
! F-Value&lt;br /&gt;
! Probability&lt;br /&gt;
! F Critical&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| Sample:&lt;br /&gt;
| 3270.333333333334&lt;br /&gt;
| 5&lt;br /&gt;
| 654.0666666666668&lt;br /&gt;
| 2.8081574239713784&lt;br /&gt;
| 0.06629115945265437&lt;br /&gt;
| 5.061984369714618&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| Columns:&lt;br /&gt;
| 253.50000000000017&lt;br /&gt;
| 1&lt;br /&gt;
| 253.50000000000017&lt;br /&gt;
| 1.0883720930232565&lt;br /&gt;
| 0.36437615127626016&lt;br /&gt;
| 9.332898584189282&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| Interaction:&lt;br /&gt;
| 1965.0000000000018&lt;br /&gt;
| 5&lt;br /&gt;
| 393.00000000000034&lt;br /&gt;
| 1.6872987477638656&lt;br /&gt;
| 0.2120282015971952&lt;br /&gt;
| 5.061984369714618&lt;br /&gt;
|- class=&amp;quot;even&amp;quot;&lt;br /&gt;
| Within:&lt;br /&gt;
| 2795&lt;br /&gt;
| 12&lt;br /&gt;
| 232.91666666666666&lt;br /&gt;
|- class=&amp;quot;odd&amp;quot;&lt;br /&gt;
| Total:&lt;br /&gt;
| 8283.833333333335&lt;br /&gt;
| 23&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
----&lt;/div&gt;</summary>
		<author><name>MassBot1</name></author>
	</entry>
</feed>