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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 consideration. For example one may be interested to study the effectiveness of teaching methods like unstructured teaching and structured teaching. Suppose college have changed their method of teaching from unstructured teaching to structured teaching recently. Then the researcher has to take a random sample of students of a particular programme from different colleges and collect their performances before introducing the structured methods of teaching and after introducing the structured method of teaching. The respective observation will form two samples .
There are many more examples which are as listed below:
a.Number of defects found in the daily lots of items produced by a set of similar machines before and after installing a costly automatic inspection systems in them.
b. Monthly sales revenues of a product in different regions before launching an advertisement campaign and after launching the advertisement campaign.
c.Number of daily transaction in a bank before and after introducing computers.
d. Number of outpatients treated in a government hospital before and after providing modern infrastructure.
There are various non parametric tests but we will discuss only a few of the better known and more widely used ones.
a.The sign test
1. One samples test
2.Two sample sign test ( sing test for paired data)
3.A rank sum test ( Mann Whitney u test)
4. The one sample runs test
5.Rank correlation ( described in chapter 10 )
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
#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
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
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 pa
undertake the proposed research investigation in accordance with the agreed specification and procedures
Standard Deviation The standard deviation of samples (s) can be estimated by the pilot study past studies and the ranges of distribution. A pilot study may be conducted
the dual form of the following lpp min z=3x1+2.5x2 constraints:2x1+4x2>=40, 3x1+2x2>=50 and x1,x2>=0
Support Supporting materials is vital for making the presentation effective. It clarifies the speaker ideas makes the presentation more illuminating as well as intere
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3. 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
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