Biometrika

最新文章

• THE SIGNIFICANCE OF RANK CORRELATIONS WHERE PARENTAL CORRELATION EXISTS AI翻译
  作者：DANIELS, HE; KENDALL, MG
  摘要：The sampling distribution of the rank correlation t is not completely specified by the parameter [tau]. However, the distribution is asymptotically normal, with approach to normality fairly rapid when tau is not close to 1. An upper limit to, and an unbiassed estimate of, the variance of t are given. Confidence intervals are obtained for [tau] assuming normality and, also, not assuming this but using two terms in a Gram-Charlier approximation. In the formulae (16.1) and (16.2) given as estimat...
• A SIMPLE APPROACH TO CONFOUNDING AND FRACTIONAL REPLICATION IN FACTORIAL EXPERIMENTS AI翻译
  作者：KEMPTHORNE, O
  摘要：A general approach to factorial designs of the type [rho][image] is given, in which simple effects and interactions are obtained by comparisons of totals for plots corresponding to lattice points on sets of parallel hy-perplanes in n-space. The method of attack is applied to confounding and partial replication, considered as different aspects of the same process. Confounding is discussed for 33, 34 and 35 systems; fractional replication, for 2[image] and 3[image] systems. Examples are given of...
• SIGNIFICANCE TESTS FOR 2X2 TABLES AI翻译
  作者：BARNARD, GA
  摘要：Various types of expt. giving rise to results in the form of a 2 X 2 table are discussed and a test is developed for one type. The type considered is that in which samples of m and n are drawn from 2 populations and each element classified in one of 2 categories. The hypothesis tested is that the proportions in one category are the same in both populations. In this situation there is no clear-cut ordering of the sample points. An ordering is developed on the 3 criteria of convexity, sytn-metry...
• THE VARIANCE OF TAU WHEN BOTH RANKINGS CONTAIN TIES AI翻译
  作者：KENDALL, MG
  摘要：The variance of [tau] is obtained for the most general case where both rankings may contain ties. By simple specializations, results previously given by Sillitto (Biometrika, 1947) and surmised by Whitfield (Biometrika, 1947) are explicitly obtained.
• THE VARIANCE OF THE OVERLAP OF GEOMETRICAL FIGURES WITH REFERENCE TO A BOMBING PROBLEM AI翻译
  作者：GARWOOD, F
  摘要：The general problem in the mathematical study of bombing consists of estimating the overall effect on a given objective. The problem is further restricted to calculation of the mean and variance of the portion of the objective area covered by destruction areas dropped in random fashion on a section of a plane including the objective area in its interior. For the areas considered (rectangles and circles), calculation of the mean presents no great difficulty. Methods, due to H. E. Robbins and to...
• THE USE OF RANGE IN PLACE OF STANDARD DEVIATION IN THE TERT-TEST AI翻译
  作者：LORD, E
  摘要：The t-test compares the deviation of a sample mean from the assumed population value with a root-mean-square estimate of the standard error of that difference in samples from a normal population. For routine testing of exptl. data of various types, particularly data for control of quality of manufactured products, it is desirable to have a test of this nature which requires less computation. The ratio of the observed range to the known mean range in samples from a normal population with unit s...
• A COMPARISON OF STRATIFIED WITH UNRESTRICTED RANDOM SAMPLING FROM A FINITE POPULATION AI翻译
  作者：ARMITAGE, P
  摘要：Wilks has shown for infinite populations that optimum stratified sampling is more efficient (in general) than proportional sampling, which is more efficient than unrestricted random sampling. It is shown that these inequalities may be reversed in sampling from finite populations when the mean values in the strata are nearly equal, and when the population is small or the variances in the strata nearly equal.
• THE FREQUENCY DISTRIBUTION OF SQUARE-ROOT-B1 FOR SAMPLES OF ALL SIZES DRAWN AT RANDOM FROM A NORMAL POPULATION AI翻译
  作者：GEARY, RC
  摘要：A general integral relation is established between the frequency functions of [square root]b1 or a3, in samples of size n and (n[long dash]1) from a normal population. Using the known distribution for samples of size 3 given by Fisher and iterative methods, it is possible to obtain solutions to any desired degree of precision for the frequency functions for samples of 4, 5, 6, 7 and 8. At n = 8, it is shown that the frequency distribution is closely approximated by the Gram-Charlier series wit...
• THE STRATIFIED SEMI-STATIONARY POPULATION AI翻译
  作者：VAJDA, S
  摘要：A population subject to mortality dependent on age and which is supplied with entrants each year so as to keep the total population constant tends, in general, to a limiting age distribution, the intrinsic stationary population. If, in addition, the population is stratified and members of each stratum subject each year to promotion to the next higher stratum on the basis of age or of seniority in grade, a semi-stationary population results when the totals of each stratum can be held constant w...
• ON THE COMPUTATION OF UNIVERSAL MOMENTS OF TESTS OF STATISTICAL NORMALITY DERIVED FROM SAMPLES DRAWN AT RANDOM FROM A NORMAL UNIVERSE - APPLICATION TO THE CALCULATION OF THE 7TH MOMENT OF B2 AI翻译
  作者：GEARY, RC; WORLLEDGE, JPG
  摘要：A computational scheme is given for moments of samples from normal universes. The algebraic methods of C. C. Craig, rather than the combinatorial techniques of R. A. Fisher, are used. Economy of expression is achieved through the extensive use of primals and systematic methods of calculation involving these quantities are developed. A set of checks, partial or complete, is given for every stage of the computational schema.