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shahd
Quartz | Level 8

Hi all,
I have a residual plot which is shown below and I am not sure if the variance is constant or not because I can see a funnel shape.

Could you please suggest me a sas code for a test to make sure that the variance constant or not constant

 

eee.png

 

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PaigeMiller
Diamond | Level 26

@novinosrin wrote:

Sir, requesting your clarification. Should there be constant variance, does it mean outliers are not present? how does it relate to influential point? I am seeking insight in the interpretation. Can you pen down a point or two plz


You can have outliers with constant variance. 

 

I am looking for a more severe pattern before I decide that the variance is not constant. I can draw such a pattern on piece of paper, but that doesn't help here. But image the same residual plot, where the data points on the plot fit into a triangle, narrow at one end and wide at the opposite end, that would indicate to me that you have nonconstant variance. The plot shown, the data mostly fits into a rectangle, hence my opinion that there is constant variance.

 

Now you could have low variance in the middle and high variance at the edges, then the points on the plot might fit into two different triangles pushed together with the narrowest parts of the triangles in the middle and wide parts at the edges, but I don't see that either.

 

And there could be other patterns as well. That's why we use plots, because the human eye is the best pattern detector there is (although there are sitautions where it can be misled).

--
Paige Miller

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7 REPLIES 7
PaigeMiller
Diamond | Level 26

Visually, I am not seeing a problem. If the variance was not constant, you would see a much more severe and well-defined pattern.

 

I don't know if there is a formal test that takes residuals to determine if they have constant variance.

--
Paige Miller
novinosrin
Tourmaline | Level 20

Sir, requesting your clarification. Should there be constant variance, does it mean outliers are not present? how does it relate to influential point? I am seeking insight in the interpretation. Can you pen down a point or two plz

 

 

shahd
Quartz | Level 8
I need to check the variance for my model so I can decide if i need to make transformation for y variable to make the variance constant if its not constant.
novinosrin
Tourmaline | Level 20

I like your question. Sounds like very similar to the course I took. But we have a big boss @PaigeMiller  who can help us both in our understanding. Let's wait

PaigeMiller
Diamond | Level 26

@novinosrin wrote:

Sir, requesting your clarification. Should there be constant variance, does it mean outliers are not present? how does it relate to influential point? I am seeking insight in the interpretation. Can you pen down a point or two plz


You can have outliers with constant variance. 

 

I am looking for a more severe pattern before I decide that the variance is not constant. I can draw such a pattern on piece of paper, but that doesn't help here. But image the same residual plot, where the data points on the plot fit into a triangle, narrow at one end and wide at the opposite end, that would indicate to me that you have nonconstant variance. The plot shown, the data mostly fits into a rectangle, hence my opinion that there is constant variance.

 

Now you could have low variance in the middle and high variance at the edges, then the points on the plot might fit into two different triangles pushed together with the narrowest parts of the triangles in the middle and wide parts at the edges, but I don't see that either.

 

And there could be other patterns as well. That's why we use plots, because the human eye is the best pattern detector there is (although there are sitautions where it can be misled).

--
Paige Miller
novinosrin
Tourmaline | Level 20

Merci! Thank you very much indeed!

shahd
Quartz | Level 8
thannnnnnks alot

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