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runs test once more

• To: mathgroup at smc.vnet.net
• Subject: [mg57284] runs test once more
• From: Csukas Attila <attila at biking.taiiku.tsukuba.ac.jp>
• Date: Mon, 23 May 2005 02:21:01 -0400 (EDT)
• References: <d6k8ia$q2$1@smc.vnet.net> <200505210641.CAA16452@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Dear Everybody,

I have checked the runs test, and it seems I have missed one step as a 
preparation. Now I have arranged all the observed and predicted values 
to the third column (third in the brackets) to the second column I 
inserted 1 for the observed values, 2 for the predicted values by the 
model (second in the brackets), and the first column contains the id 
for each case. For each id I would like to know whether there is a 
systematic bias between observed and predicted values or not. 
Basically, I am expecting nonsignificant runs test result, because that 
would prove me, that the model fitted well. I hope could make clear my 
question now and would appreciate any help, hint and comment on the 
matter.

Thank you in advance! One of the beginners..

Attila Csukas

Here is the new data :

{{id, run, obspred}, {2, 1, 116.9}, {2, 1, 122.1}, {2, 1, 126.1}, {2, 1,
    131.1}, {2, 1, 137.1}, {2, 1, 141.1}, {2, 1, 148.3}, {2, 1,
    161.2}, {2, 1, 165.9}, {2, 1, 167.8}, {2, 1, 168}, {2, 1,
    170.1}, {2, 2, 116.486}, {2, 2,
    122.073}, {2, 2, 127.074}, {2, 2, 131.598}, {2, 2, 135.899}, {2, 2,
      140.88}, {2, 2, 149.053}, {2, 2, 160.338}, {2, 2,
    166.697}, {2, 2, 168.316}, {2, 2, 168.617}, {2, 2, 168.67}, {4,
     1, 120.8}, {4, 1, 128.2}, {4, 1, 134.5}, {4, 1, 138.9}, {4,
    1, 145.2}, {4, 1, 153.7}, {4, 1, 163.7}, {4, 1, 170.1}, {4, 1, 
172.1}, {4,
     1, 174.4}, {4, 1, 177.3}, {4, 1, 177.3}, {4, 2, 121.477}, {4, 2,
     127.612}, {4, 2, 133.438}, {4, 2, 139.369}, {4, 2, 146.045}, {4, 2,
     154.016}, {4, 2, 162.616}, {4, 2, 169.62}, {4, 2, 173.697}, {4,
    2, 175.536}, {4, 2, 176.255}, {4, 2, 176.518}, {7, 1, 111.8}, {7,
    1, 115.5}, {7, 1, 122.1}, {7, 1, 126.8}, {7, 1, 132.4}, {7,
    1, 136.4}, {7, 1, 139.1}, {7, 1, 145.3}, {7, 1, 152.1}, {7,
    1, 161}, {7, 1, 163.2}, {7, 1, 164.1}, {7, 2, 110.578}, {7,
    2, 116.887}, {7, 2, 122.456}, {7, 2, 127.377}, {7, 2,
    131.743}, {7, 2, 135.698}, {7, 2, 139.616}, {7, 2, 144.669}, {7, 2,
    152.685}, {7, 2, 160.428}, {7, 2, 163.488}, {7, 2, 164.176}}


On 2005/05/21, at 15:41, Ray Koopman wrote:

> Csukas Attila wrote:
>> Dear Everybody,
>>
>> I am facing to a new problem and if it is possible would like
>> to ask some help from experts as you are.
>> I have observed values (second in the brackets) for three ids
>> (first in the brackets) and also have predicted values (third
>> in the brackets) estimated by a model. I would like to use runs
>> test to prove that the model fitted well, that is there is no
>> significant difference between observed and predicted values
>> for each id.
>>
>> Does anybody know how can it be done? Any help is appreciated!
>> Thanks in advance!
>>
>> Out[10] = {{id,obs,pred},
>> {2,116.9,116.486}, {2,122.1,122.073}, {2,126.1,127.074},
>> {2,131.1,131.598}, {2,137.1,135.899}, {2,141.1,140.88 },
>> {2,148.3,149.053}, {2,161.2,160.338}, {2,165.9,166.697},
>> {2,167.8,168.316}, {2,168. ,168.617}, {2,170.1,168.67 },
>> {4,120.8,121.477}, {4,128.2,127.612}, {4,134.5,133.438},
>> {4,138.9,139.369}, {4,145.2,146.045}, {4,153.7,154.016},
>> {4,163.7,162.616}, {4,170.1,169.62 }, {4,172.1,173.697},
>> {4,174.4,175.536}, {4,177.3,176.255}, {4,177.3,176.518},
>> {7,111.8,110.578}, {7,115.5,116.887}, {7,122.1,122.456},
>> {7,126.8,127.377}, {7,132.4,131.743}, {7,136.4,135.698},
>> {7,139.1,139.616}, {7,145.3,144.669}, {7,152.1,152.685},
>> {7,161. ,160.428}, {7,163.2,163.488}, {7,164.1,164.176}}
>>
>> One of the mathgroup contributors had comments on Wald-Wolfowitz
>> test but I have difficulties with the application for the above
>> data. [...]
>
> Me too. Runs of *what* ?
>
>

• Follow-Ups:
  • Re: runs test once more
    • From: János <janos.lobb@yale.edu>

• References:
  • Re: runs test for evaluation of model fit
    • From: "Ray Koopman" <koopman@sfu.ca>