TY - JOUR
AU - Pitman, E. J. G.
AB - 1937] 119 SIGNIFICANCE TESTS WHICH MAY BE ApPLIED TO SAMPLES FROM ANY POPULATIONS. By E. J. G. PITMAN, (University of Tasmania). 1. THE object of this paper is to show how we can devise valid tests of significance which involve no assumptions about the forms of the populations sampled. It is also shown that precise fiducial limits can be determined for the difference of means of populations of the same form, no matter what the form of the populations may be. While only one test is discussed in this paper, the principle is applicable to all tests. The main idea is not new, it seems to be implicit in all Fisher's writings; * but perhaps the approach to the subject, frankly starting from the sample and working towards the population instead of the reverse, may be a bit of a novelty. 2. Discordant, Concordant, and Neutral Separations. Suppose that we have m + n numbers (not necessarily all different), and that their mean is z. Numbers which are equal in value are supposed to be distinguishable from one another-we may think of the m + n numbers as painted on m + n different marbles. Consider a separation of 
TI - Significance Tests Which May be Applied to Samples from Any Populations
JF - Journal of the Royal Statistical Society Series B (Statistical Methodology)
DO - 10.2307/2984124
DA - 1937-01-01
UR - https://www.deepdyve.com/lp/oxford-university-press/significance-tests-which-may-be-applied-to-samples-from-any-951dcsClfE
SP - 119
EP - 130
VL - 4
IS - 1
DP - DeepDyve
ER -