Download Applied statistics: principles and examples by David Roxbee Cox, E. J. Snell PDF

By David Roxbee Cox, E. J. Snell

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7] Some types of statistical procedure 39 I (v) A significance test is not directly concerned with the magnitude of any departure from H 0 • It measures only consistency with the null hypothesis. The data may be consistent with the null hypothesis and at the same time be consistent with situations radically different in their practical implications. Thus in comparing the mean yields of two processes with limited data, the data might be consistent with zero difference, a large positive difference or a large negative difference between the two processes.

Once this is expressed more formally it is a mathematical problem to find a suitable t, subject of course to feasibility of computation. 8) is a minimum. 7) are called unbiased. 8) are called mfnimum-variance unbiased. 6 Graphical analysis Graphical methods are important both in the preliminary analysis of data and in the final presentation of conclusions. There will be many illustrations in Part II and here we outline briefly a few general points, although it is difficult to give a systematic discussion.

A test of the null hypothesis that the variance is constant can be set up, but testing that hypothesis has been suggested by the magnitude of the departure observed in the data. It is clear that direct use of the ordinary significance level may overestimate the evidence in favour of the effect under study. The usual procedure is to introduce an adjustment for selection. This is approximately that if the effect studied is the largest of m effects that might have been chosen for study, the observed significance level is to be multiplied by m.

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