# White noise test interpretation [duplicate]

How to interpret white noise test from Stata? Have a white noise means that a variable does not have autocorrelation.

Can I say here that all of my variables has a white noise (does not have autocorrelation)? How can I see it?

 wntestq a

Portmanteau test for white noise
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Portmanteau (Q) statistic =    28.0682
Prob > chi2(40)           =     0.9221

wntestq b

Portmanteau test for white noise
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Portmanteau (Q) statistic =   162.3201
Prob > chi2(40)           =     0.0000

wntestq  c

Portmanteau test for white noise
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Portmanteau (Q) statistic =   162.6615
Prob > chi2(40)           =     0.0000

wntestq  d

Portmanteau test for white noise
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Portmanteau (Q) statistic =   192.8795
Prob > chi2(40)           =     0.0000

wntestq  e

Portmanteau test for white noise
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Portmanteau (Q) statistic =   182.2451
Prob > chi2(40)           =     0.0000

wntestq  f

Portmanteau test for white noise
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Portmanteau (Q) statistic =   126.0059
Prob > chi2(40)           =     0.0000

• If a P-value reported as 0.9221 has the same interpretation as one reported as 0.0000, then anything goes. – Nick Cox Nov 17 '14 at 9:40
• Note that a White test is not the same as a white noise test. – Nick Cox Nov 17 '14 at 9:40
• Well documented at stata.com/manuals13/tswntestq.pdf – Nick Cox Nov 17 '14 at 9:43