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

compute probabilities-transitions and transition rate, Consider a queueing...

Consider a queueing system with 1 counter, to which groups of customers arrive according to a Poisson proces with intensity l. The size of a group is 1 with probability p and 2 wit

Markov chain models - operation research model, These models are used for a...

These models are used for analyzing a system which changes over a period of time among various possible outcomes or states. The models while dealing with such systems describe tra

Answering questions for minimum spanning tree problems, Sample Assignment f...

Sample Assignment for minimum spanning tree problems For the subsequent graph get the minimum spanning tree. The numbers on the branches presents the cost.

Model., is model the essence of oprational research.

is model the essence of oprational research.

Lpp linear programming problems exercise, Exercise Define the t...

Exercise Define the terms used in LPP. Mention the advantages of LPP. What are the assumptions and limitations of LPP? A firm produces three pro

Linear programming., Q3. Solve the following Linear Programming Problem usi...

Q3. Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X

A paper mill produces two grades of paper viz., A paper mill produces two g...

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.

Tied ranks equal or repeated rank, Tied Ranks Equal or Repeated Rank W...

Tied Ranks Equal or Repeated Rank When  two or more  items  have equal values  it is  difficult  to give ranks  to them. In  that case  the items are given  the average of the

Methodology of operation research, The systematic methodology developed f...

The systematic methodology developed for an operation research study with problems involving conflicting multiple objective policies and alternatives. Operation research in

Steps involved in linear programming problem formulation, Question A - Line...

Question A - Linear Programming is most widely used technique for large number of applications in business industry as well as in various other fields. Describe in brief the steps

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