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

Some guidelines for bibliography entries , Some Guidelines  for Bibliograp...

Some Guidelines  for Bibliography Entries 1. Reference of a Back  by One Authors : Mention authors  name book title ( in italics hence  to be  underlined) city  publication

Government documents - classification of documents, Government Documents: ...

Government Documents: Government  publications are the official documents brought out at government expense. They are the records of activities of the (1) Executive, (2) Legis

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

. 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

Institutional Characteristics - information resources, Institutional Charac...

Institutional Characteristics:  An approach to an understanding of the fields of interest of individuals to be served and of the organisation as a whole could begin by acquiri

data analysis and research methodology , Case  Study - Data Analysis ...

Case  Study - Data Analysis Sandarsen  inc was testing new  packaging  and a few  recipe  for a family  desert cookie  that had  been  on the  market for several years. It wa

Chart the historical prices based on the monthly data, Choose a publicly tr...

Choose a publicly traded company (NYSE, AMX, or OTC) that interests you. If you don't know how to choose a company, think of IBM, DELL computer, Nike, Apple computer, GM, Ford, Nok

Quartiles, QUARTILES The three points on the scale  of observation ( o...

QUARTILES The three points on the scale  of observation ( or  values  of the variable) which  divide  the total  frequency  into four  equal  parts are called  quartiles for t

Management Applications of Operation Research, Some areas of applications a...

Some areas of applications are Purchasing, Procurement and Exploration Quantities and timing of purchase Replacement policies Rules for buying, supplies Finance, Budgeting and Inv

lp-model and markov decision problem, The supply of a certain good is insp...

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

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