Hi Mark,
   
  Thanx for the help. I will verify my results with PP and DF test. Also as 
suggested I will take a look at the references pointed out. One small doubt: 
How do I decide what terms ( trend, constant, seasonality ) to include while 
using these stationarity tests. Any references would be of great help. 
   
  Thanx,
  Sachin
   
  

[EMAIL PROTECTED] wrote:
  >From: 
>Date: Thu Jul 06 14:17:25 CDT 2006
>To: Sachin J 
>Subject: Re: [R] KPSS test

sachin : i think your interpretations are right given the data
but kpss is quite a different test than the usual tests
because it assumes that the null is stationarity while dickey fuller ( DF ) and 
phillips perron ( PP ) ) assume that the null is a unit root. therefore, you 
should check whetheer
the conclusions you get from kpss are consistent with what you would get from 
DF or PP. the results often are not consistent.

also, DF depends on what terms ( trend, constant ) 
you used in your estimation of the model. i'm not sure if kpss 
does also. people generally report Dickey fuller results but they
are a little biased towards acepting unit root ( lower
power ) so maybe that's why
you are using KPSS ? Eric Zivot has a nice explanation
of a lot of the of the stationarity tests in his S+Finmetrics 
book.

testing for cyclical variation is pretty complex because
that's basically the same as testing for seasonality.
check ord's or ender's book for relatively simple ways of doing that.












>
>>From: Sachin J 
>>Date: Thu Jul 06 14:17:25 CDT 2006
>>To: [email protected]
>>Subject: [R] KPSS test
>
>>Hi,
>> 
>> Am I interpreting the results properly? Are my conclusions correct?
>> 
>> > KPSS.test(df)
>> ---- ----
>> KPSS test
>> ---- ----
>> Null hypotheses: Level stationarity and stationarity around a linear trend.
>> Alternative hypothesis: Unit root.
>>----
>> Statistic for the null hypothesis of 
>> level stationarity: 1.089 
>> Critical values:
>> 0.10 0.05 0.025 0.01
>> 0.347 0.463 0.574 0.739
>>----
>> Statistic for the null hypothesis of 
>> trend stationarity: 0.13 
>> Critical values:
>> 0.10 0.05 0.025 0.01
>> 0.119 0.146 0.176 0.216
>>----
>> Lag truncation parameter: 1 
>> 
>>CONCLUSION: Reject Ho at 0.05 sig level - Level Stationary
>> Fail to reject Ho at 0.05 sig level - Trend Stationary 
>> 
>>> kpss.test(df,null = c("Trend"))
>> KPSS Test for Trend Stationarity
>> data: tsdata[, 6] 
>>KPSS Trend = 0.1298, Truncation lag parameter = 1, p-value = 0.07999
>> 
>> CONCLUSION: Fail to reject Ho - Trend Stationary as p-value < sig. level 
>> (0.05)
>> 
>>> kpss.test(df,null = c("Level"))
>> KPSS Test for Level Stationarity
>> data: tsdata[, 6] 
>>KPSS Level = 1.0891, Truncation lag parameter = 1, p-value = 0.01
>> Warning message:
>>p-value smaller than printed p-value in: kpss.test(tsdata[, 6], null = 
>>c("Level")) 
>> 
>> CONCLUSION: Reject Ho - Level Stationary as p-value > sig. level (0.05)
>> 
>> Following is my data set
>> 
>> structure(c(11.08, 7.08, 7.08, 6.08, 6.08, 6.08, 23.08, 32.08, 
>>8.08, 11.08, 6.08, 13.08, 13.83, 16.83, 19.83, 8.83, 20.83, 17.83, 
>>9.83, 20.83, 10.83, 12.83, 15.83, 11.83), .Tsp = c(2004, 2005.91666666667, 
>>12), class = "ts")
>>
>> Also how do I test this time series for cyclical varitions? 
>> 
>> Thanks in advance.
>> 
>> Sachin
>>
>> 
>>---------------------------------
>>
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>>
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