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

Deviation taken from assumed mean, Deviation Taken from Assumed Mean ...

Deviation Taken from Assumed Mean This methods  is assorted  when the  arithmetic  average  is a  fractional value. Taking  deviation from  fractional value would  be a ver

Determine the required factors of production in a company, 1)  Provide a de...

1)  Provide a description of the required factors of production, grouping them according to whether the factors of production are a) Fixed and hence unlikely to vary much accord

Higher order table, Higher Order  Table   When  three  or more  charac...

Higher Order  Table   When  three  or more  characteristics are represented in the same  table such a table  is called  higher order table. The  need  for such  a table arises

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

Differentiate among descriptive and inferential analysis o, Question 1 ...

Question 1 A) Differentiate among descriptive and inferential analysis of data B) Describe with examples various measures of Central Tendency Question 2 The chi-square

Model, Importance of models

Importance of models

Simple size -sampling decisions, simple Size When a survey  is underta...

simple Size When a survey  is undertaken and  it is not  possible  to cover  the entire population, the marketing  researcher has to  answer a basic  question  - how  large  s

ASSIGNMENT, #A paper mill produces two grades of paper viz., X and Y. Becau...

#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

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 material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

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