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

Steps of research process, Steps of Research Process The steps of resear...

Steps of Research Process The steps of research process have already been discussed in theory. Here we shall outline the procedure of conducting the research. i) Formulate t

Objectives of strategic management, Problem What are important objectiv...

Problem What are important objectives of strategic management and the causes for failure t of strategic management Objectives To keep pace with the changing business e

Game theory , 3 In a rectangular game, pay-off matrix of player A is as f...

3 In a rectangular game, pay-off matrix of player A is as follows:

Linear programming model, Nass food produces to kinds of popular dark choco...

Nass food produces to kinds of popular dark chocolate bars. The banana and the coffee.the

Least cost method of transportation model, how do you calculate using this ...

how do you calculate using this method where the least cost appears twice

Techniques, explain the different techniques as operation research

explain the different techniques as operation research

#title, WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

Z-test - hypothesis testing, Z-Test Prof. Fisher has  given a method  of...

Z-Test Prof. Fisher has  given a method  of testing the significance of the correlation coefficient in small  samples. According  to this method the  coefficient of correlation

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

A paper mill produces two grades of paper viz., X and Y. Because of raw each) material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of g

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