Sing test- hypothesis testing, Operation Research

Assignment Help:

SING TEST

The sign test  is the simplest  of the  parametric  tests. Its name comes  from the  fact  that it is based  on the direction ( or sings  for  pluses or minuses ) of  a part of observation and  not on  their numerical  magnitude.

In any problem  in which sign  test is used we count:

Number of + sings

Number of  - sings

Number of 0 s  ( i, e, which  cannot be included either as positive or negative)

We take  H0  p= 0.5( Null hypothesis)

If the difference is due  to chance effects the   probability of a +sing for any particular pair is 1/2as is the probability of a  -sing. If s  is the number of times  the less  frequent sign  occurs then S has  the  binomial distribution with p= ½.

The  critical value for a two  sided alternative at α= 0.05 can be  conveniently found  by the  expression.

K = (n -1)/ 2 -( 0.98)√n

Ho is rejected if S ≤ K for  the sign  tests.

The sign  test can be  of two  types:

a.The one  sample  sign test

b.  The paired sample sign test

 


Related Discussions:- Sing test- hypothesis testing

Data collection procedure, A series of questionnaire for Delphi were mailed...

A series of questionnaire for Delphi were mailed to the selected experts who meet the criteria that mention in above. The overall purpose of the Delphi technique was to achieve the

Assignments, 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 i

Observation and data collection - research phases, Observation and Data Col...

Observation and Data Collection for Better Understanding of the Problem: Many times actual observations by trained observers at the scene of operation may be difficult and da

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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

Area under standard normal curve, Area under Standard Normal Curve The...

Area under Standard Normal Curve The graph  of the  standard  normal  curve y = p(z) with  different percentages areas is  shown here. Since p(z) is  a probability  distributi

Purchasing power of customers, This is determined by disposable personal ...

This is determined by disposable personal income( personal income minus direct taxes and other deductions ). Some people suggest the use of discretionary income in place of

Medical industry payments to physicians, Medical Industry Payments to Physi...

Medical Industry Payments to Physicians The relationships between physicians and medical related companies in the United States, generally acknowledged to be familiar given th

Summary report - report writing presentation, Summary  Report The  r...

Summary  Report The  report  format  suggested  above  does  not  contain  any  summary  section. This exclusion  is deliberate. The summary  should  not be  prepared until t

Operating system, represent a diagrammatic way of components of the os

represent a diagrammatic way of components of the os

Sequential sampling -sampling decisons, Sequential Samplin The previou...

Sequential Samplin The previous  has shown  that the sampling  units  were drawn  prior  to the drawing of the actual   sample  and has  a fixed  size. But the  sequential  sa

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