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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 )
Consider the LP min ?? = 50??1 + 100??2 3 ??.??. 7??1+2??2=28 2??1+12??2=24 ??1,??2=0 a. A basic solution of the constraint equations of this problem has how many basic variables,
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 assign
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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
- 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
Yates Correction for Continuity for 2x 2Tables If any cell frequency in 2x 2 table isles than 5thenfor the application of X 2 test it is pooled with the preceding or suc
what are the characteristics of operation research
#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
mile-high microbrewery makes a light beer and a dark beer. mile-high has a limited supply of barley, limited bottling capacity, and a limited market for light beer. profits are $0.
explanation
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