One sample runs test - hypothesis testing, Operation Research

ONE SAMPLE  RUNS  TEST

A number of  methods have been  developed fro  judging the randomness of samples on the basis of  the order in which  teh observations  are taken. It is possible  to determine whether the samples  that look  suspiciously non random may be attributed to chance. The technique discussed below is based on the theory of runs. A run is  a  succession of identical letters ( or  other kinds  of symbols) which is followed  or preceded by different letter or no  letters at all. To illustrate consider the following  arrangement of letters.

AAA     BBBB     CCCC      DDDDDD         KKK      NNN

Using  underlines to combine the letters which  constitute the runs  we find that first  share is  a run of three a then a run  of four

B then a run  four C  then a run  of six D then a run of two K s and  lastly a run of three N s. In  all there  are six  runs  of varying lengths.

It may  be pointed  to that the total  number of runs  appearing  in an agreement is often a good  indication of a possible lack of randomness. If  there are  too few runs a definite grouping clustering  or trend may be suspected. On  the other hand if there are too many runs some sort of repeated alternating pattern may be suspected. Thus  it may  be possible  to prove that too  many  or too  few  runs  in a sample  indicate something  other than chance when the items  were  selected.

The  number of runs of r is a statistic with  its own  special  sampling  distribution  and its own  test. To  derive the mean  of the  sampling  distribution  of  r statistic  the following  formula  is used.

 

 

Posted Date: 2/27/2013 12:54:16 AM | Location : United States







Related Discussions:- One sample runs test - hypothesis testing, Assignment Help, Ask Question on One sample runs test - hypothesis testing, Get Answer, Expert's Help, One sample runs test - hypothesis testing Discussions

Write discussion on One sample runs test - hypothesis testing
Your posts are moderated
Related Questions
The supply of a certain good is inspected periodically. If an order is placed of size x >0 (integer), the ordering costs are 8+2. x. The delivery time is zero. The demand is stoc

layout of any retailer shop and the reasons for the layout

Question 1 A) Differentiate among descriptive and inferential analysis of data B) Describe with examples various measures of Central Tendency Question 2 The chi-square

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Ask question #Minimum 100 words acceptNas food produces to kinds of popular dark chocolate bars. the banana and coffee. the banana bar costs 0.22 to make and sells of 0.35, where a

a paper mill produce two grades of paper viz., X and Y. because of raw material restrictions, it cannot produce more than 400 tona of grade X and 300 tons of grade Yin a week. ther

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i


the following table gives place under different states of nature Strategies States of nature s1 s2 s3 A 10000 3000 2000 B

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i