https://community.jmp.com/t5/Discussions/Variance-components-and-REML-quot-within-quot-calculation/m-p/373065#M62289 <P>You have 8 degrees of freedom in the data. You estimate the intercept (fixed effect) and three variance components (random effect), so you have sufficient degrees of freedom.</P> <P>&nbsp;</P> <P>Your design with simulated response (null effects):</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="reml.PNG" style="width: 567px;"><img src="https://community.jmp.com/t5/image/serverpage/image-id/31761i7503E9979E00D9D3/image-size/large?v=v2&amp;px=999" role="button" title="reml.PNG" alt="reml.PNG" /></span></P> Wed, 31 Mar 2021 16:51:03 GMT Mark_Bailey 2021-03-31T16:51:03Z https://community.jmp.com/t5/Discussions/Variance-components-and-REML-quot-within-quot-calculation/m-p/372712#M62262 <P>How is the within variation calculated? even when there is only 1 data point available for a combination of factors?</P><P>I have a set of data with only one data point available for each factor combination and there is a pretty large amount of variation attributed to "within" and I'm curious how it is determining the within variation.</P><P>&nbsp;</P><P>For example:</P><TABLE><TBODY><TR><TD>Day</TD><TD>Equipment</TD><TD>Analyst</TD><TD>Data</TD></TR><TR><TD>1</TD><TD>Z</TD><TD>A</TD><TD>##</TD></TR><TR><TD>1</TD><TD>Z</TD><TD>B</TD><TD>##</TD></TR><TR><TD>1</TD><TD>Y</TD><TD>A</TD><TD>##</TD></TR><TR><TD>1</TD><TD>Y</TD><TD>B</TD><TD>##</TD></TR><TR><TD>2</TD><TD>Z</TD><TD>A</TD><TD>##</TD></TR><TR><TD>2</TD><TD>Z</TD><TD>B</TD><TD>##</TD></TR><TR><TD>2</TD><TD>Y</TD><TD>A</TD><TD>##</TD></TR><TR><TD>2</TD><TD>Y</TD><TD>B</TD><TD>##</TD></TR></TBODY></TABLE><P>&nbsp;</P><P><SPAN style="font-family: inherit;">Thanks!</SPAN></P> Fri, 09 Jun 2023 00:31:18 GMT https://community.jmp.com/t5/Discussions/Variance-components-and-REML-quot-within-quot-calculation/m-p/372712#M62262 chelseahudson 2023-06-09T00:31:18Z https://community.jmp.com/t5/Discussions/Variance-components-and-REML-quot-within-quot-calculation/m-p/373065#M62289 <P>You have 8 degrees of freedom in the data. You estimate the intercept (fixed effect) and three variance components (random effect), so you have sufficient degrees of freedom.</P> <P>&nbsp;</P> <P>Your design with simulated response (null effects):</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="reml.PNG" style="width: 567px;"><img src="https://community.jmp.com/t5/image/serverpage/image-id/31761i7503E9979E00D9D3/image-size/large?v=v2&amp;px=999" role="button" title="reml.PNG" alt="reml.PNG" /></span></P> Wed, 31 Mar 2021 16:51:03 GMT https://community.jmp.com/t5/Discussions/Variance-components-and-REML-quot-within-quot-calculation/m-p/373065#M62289 Mark_Bailey 2021-03-31T16:51:03Z