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Re: Randomness Test

• To: mathgroup at smc.vnet.net
• Subject: [mg58029] Re: Randomness Test
• From: Bill Rowe <readnewsciv at earthlink.net>
• Date: Thu, 16 Jun 2005 05:37:40 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

On 6/15/05 at 5:58 AM, rks74us at yahoo.com (Dave miller) wrote:

>Okay, I have a sequence of numbers as below. When i do a scatter
>plot, there seems to be a bias toward positive numbers. Although
>when I run some tests like "runs test", it shows me that the
>numbers are random. If that is the case, then when i plot the
>numbers on a scatter plot, should'nt they be equally divided up and
>below the x axis? My goal is to prove that that there is a
>significant bias towards positive numbers.

<list of numbers snipped>

Since you list contained

9 negative numbers
6 zeros
26 positive numbers

There is a clear bias toward positive numbers.

A runs test looks for a sequence of the same number and isn't the right test to use to look for a preponderence of positive numbers. The sequence of positive integers is clearly not random but will have no runs and pass a runs test.
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