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

Overhead projector -report writing presentation , Overhead Projector  ...

Overhead Projector  Overhead  projector  casts an images of the transparencies  on a  screen. Transparencies  are frequently  used  visual  aids  especially  when  audience

Introduction to Operations research, discuss applications and scope of oper...

discuss applications and scope of operations research in diverse areas.

M/M/s queue, How do I use C# to program an M/M/s queue model?

How do I use C# to program an M/M/s queue model?

Rank methods spearman s, Rank Methods Spearman s When the variables  u...

Rank Methods Spearman s When the variables  under  consideration are  not capable  of quantitative  measurement but can  be arranged  in serial  order( ranks) we find  correla

Determine capacity of unit, Show simple vapour compression Refrigeration cy...

Show simple vapour compression Refrigeration cycle with showing all the devices and also draw T-sand P-R diagram and illustrate it also. A Bell-Coleman cycle works between 1 bar

Scope of operations research, Scope of the OR techniques can be derived ...

Scope of the OR techniques can be derived in followings various importance fields: 1. In Agriculture : With the explosion of population and consequent shortage of food O

Assignment, Q2. Six Operators are to be assigned to five jobs with the cost...

Q2. Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assign

#title. solution, Solve the following Linear Programming Problem using Simp...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2

Inventory control research, Given an inventory system where Yearly demand ...

Given an inventory system where Yearly demand = 120 units Ordering cost = Sh. 45 Price per unit = Sh. 200 Annual carrying cost = 24% of the unit cost Determine The economic or

Linear programming, Ask question #Minimum 100 words acceptNas food produces...

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

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