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

Linear programming problems, A paper mill produces two grades of paper viz....

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

Competitive models, These models have been developed to establish a trade ...

These models have been developed to establish a trade off between costs of providing and the waiting time of a customer in the queuing system. Constructing a model entails desc

Assignment problem, a c++ program to implement assignment problem??????????...

a c++ program to implement assignment problem???????????

Simple method, solve the LPP using simple method, maximize z= 3x1+2x2 subje...

solve the LPP using simple method, maximize z= 3x1+2x2 subject to constraints

Models, Which model is described as a rule of thumb

Which model is described as a rule of thumb

Characteristics of scientific research, Horton and hunt have given follow...

Horton and hunt have given followings nine characteristics of scientific method: 1. Verifiable evidence i e, factual observations which other observers can see and check

Classification of documents by information characteristics , Classification...

Classification of documents by information Characteristics: The schemes of classification advocated by Hanson and Grogan are mainly based on the information characteristics of

Linear Programming , A paper mill produces two grades of paper viz., X and ...

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 pa

Examine the future sustainability of business, In your role as a Consultant...

In your role as a Consultant to a renowned organisation or institution, you have been asked to design and submit a research proposal to examine the future sustainability of its bus

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