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

Limitations of operational researchers, Among other limitations of O. R the...

Among other limitations of O. R the followings deserve mention: a. Basis: The operational researchers must be unbiased. An attempt to shoehorn result sin to a confirmation of ma

Game thoery, In a rectangular game, pay-off matrix of player A is as follow...

In a rectangular game, pay-off matrix of player A is as follows: i) Solve the game. ii) Write down the pay-off matrix of B and then, solve the game.

Level of significance - hypothesis testing , Level of Significance I...

Level of Significance In testing a given  hypothesis  the maximum  probability with which  we would  be willing  to take  risk is called  level of  significance of the  test.

Liner, b. A paper mill produces two grades of paper viz., X and Y. Because ...

b. 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 pape

Use of t -tables - hypothesis testing , Use of t -tables            ...

Use of t -tables            Similar  to normal  curve  tables  there  exist t- distribution  tables. However  whereas the properties of  the normal  curve are constant for all

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 assignm

Two sample tests- hypothesis testing, Two Sample Tests In some  situat...

Two Sample Tests In some  situation the researchers may be taking  statistical decisions based on two samples. Each  of the  two  samples may  represent a particular under con

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

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