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- W2063293015 abstract "Abstract For samples from normal populations with unknown means and unknown common standard deviation, but where an upper bound to the standard deviation is known, tests based on the normal distribution (when dealing with one population) and on the Chi-square distribution (when dealing with several populations) are suggested as alternatives to, respectively, the t-test and the F-test. The tests suggested use the upper bound to the standard deviation in place of the sample estimate. Although the tests suggested have a smaller first kind of error, their power can, under certain conditions, exceed the power of the standard t-test and F-test. Tables are constructed which for degrees of freedom, first kind of error, and second kind of error give, percentagewise, the range within which the upper bound for the standard deviation must lie if these tests are to be more powerful than the respective t-test and F-test." @default.
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- W2063293015 date "1960-03-01" @default.
- W2063293015 modified "2023-09-23" @default.
- W2063293015 title "A Test Procedure with a Sample from a Normal Population when an Upper Bound to the Standard Deviation is Known" @default.
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- W2063293015 doi "https://doi.org/10.1080/01621459.1960.10482051" @default.
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