One sample runs test - hypothesis testing, Operation Research

Assignment Help:

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.

 

 


Related Discussions:- One sample runs test - hypothesis testing

Decision theory, the following table gives place under different states of ...

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

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

Problems based on lpp when feasible region is unbounded, Problems based on ...

Problems based on LPP when feasible region is unbounded.     1.    Minimize z = 3x + 5y subject to constraints  X + y ≥ 2 X + 3y ≥ 3 X, y ≥ 0 script

Post-optimal analysis, It can be seen from the optimal solution for the fou...

It can be seen from the optimal solution for the foundry problem that two resources, raw material-1 and labor, are exhausted whereas the other two resources, raw materi

Operation Research, A paper mill produces two grades of paper viz., X & Y. ...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

Method of concurrent deviations, Method of Concurrent Deviations The  ...

Method of Concurrent Deviations The  coefficient  of concurrent  deviation or coefficient  of correlation  b the concurrent deviation  methods  is given  by the formula. R

Conflicts of interest and related change in medical research, Conflicts of ...

Conflicts of Interest and Related Change in Medical Research The significant increase in private industry drug studies has spawned three other changes in medical research: med

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd