A procedure is proposed for approximating attained significance levels of exact conditional tests. The procedure utilizes a sampling from the null distribution of tables having the same marginal frequencies as the obs...
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A procedure is proposed for approximating attained significance levels of exact conditional tests. The procedure utilizes a sampling from the null distribution of tables having the same marginal frequencies as the observed table. Application of the approximation through a computer subroutine yields precise approximations for practically any table dimensions and sample size.
An algorithm is described that searches for the row and column components to form an optimal row-and-column design. It is based on one given previously (Jones, 1976) for block designs. A second algorithm is described ...
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An algorithm is described that searches for the row and column components to form an optimal row-and-column design. It is based on one given previously (Jones, 1976) for block designs. A second algorithm is described for combining the components to form a row-and-column design. Both algorithms are suitable for use on a computer. The optimality criterion used allows treatment contrasts to be weighted. Examples of the use of the algorithms are given and their performance is discussed.
The two-point boundary value problem arising in the optimal control of a singularly perturbed system is considered. Using the Vasileva’s method, the asymptotic series solution is obtained in terms of the outer series...
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The two-point boundary value problem arising in the optimal control of a singularly perturbed system is considered. Using the Vasileva’s method, the asymptotic series solution is obtained in terms of the outer series expansion of the original system and the inner and intermediate series expansions of the initial and terminal boundary layer systems. The method is presented to obtain the zeroth, first and second order approximations. Due to the complex interleaving of the various steps involved in solving the equations, an algorithm indicating the sequence of the steps is developed for implementation on a digital computer. A fifth order voltage regulator problem is given as an illustrative example.
Metal-oxide-semiconductor (MOS) logic elements offer advantages over bipolar logic elements, such as smaller size, complexity, and power consumption, as well as more flexibility and versatility. Since MOS is playing a...
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The paper describes a computer program for the systematic numerical predetermination of a performance indexJ=∫∞0(xtQx+u2)dtsuch that the synthesised feedback controller that minimisesJresults in ...
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The paper describes a computer program for the systematic numerical predetermination of a performance indexJ=∫∞0(xtQx+u2)dtsuch that the synthesised feedback controller that minimisesJresults in a controlled system with satisfactory eigenvalues that all lie to the left of the set {s|s=α, α≤0} in the complex plane. The computer algorithm, which is based on the derivatives of the eigenvalues with respect to the coefficients ofQ, may be used in isolation or can be included in an overall synthesis procedure. Examples illustrating the method are included.
Two designs for comparing a judge's ratings with a known standard are presented and compared. Design A pertains to the situation where the judge is asked to categorize each ofN subjects into one ofr (known) classe...
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Two designs for comparing a judge's ratings with a known standard are presented and compared. Design A pertains to the situation where the judge is asked to categorize each ofN subjects into one ofr (known) classes with no knowledge of the actual number in each class. Design B is employed when the judge is given the actual number in each class and is asked to categorize the individuals subject to these constraints. The probability distribution of the total number of correct choices is developed in each case. A power comparison of the two procedures is undertaken.
Exact conditional tests of independence in cross-classification tables are formulated based on theχ2statistic and statistics with stronger operational interpretations, such as some nominal and ordinal measures of ass...
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Exact conditional tests of independence in cross-classification tables are formulated based on theχ2statistic and statistics with stronger operational interpretations, such as some nominal and ordinal measures of association. Guidelines for the table dimensions and sample sizes for which the tests are economically implemented on a computer are given. Some selected sample sizes and marginal distributions are used in a numerical comparison between the significance levels of the approximate and exact conditional tests based on theχ2statisti
In a one-way layout situation in which the observations are counts corresponding to ordered categories, the attractiveHtest of Kruskal and Wallis is recommended. Because of the large number of ties, the variance-covar...
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In a one-way layout situation in which the observations are counts corresponding to ordered categories, the attractiveHtest of Kruskal and Wallis is recommended. Because of the large number of ties, the variance-covariance correction factor for the chi-squared approximation is inaccurate in small samples, with approximate significance levels varying between overly conservative and overly optimistic values depending upon the tie configuration and the outcome. To overcome this problem, a computer algorithm and program are developed which calculate the exact small sample distribution. In addition, an exact Scheffé-type method of multiple comparisons is given.
Healy and Westmacott (1956) gave an iterative computer procedure for dealing with missing values in experiments. Pearce (1965) and others discussed an improved version of the procedure. This improved version is now ex...
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Healy and Westmacott (1956) gave an iterative computer procedure for dealing with missing values in experiments. Pearce (1965) and others discussed an improved version of the procedure. This improved version is now extended to deal with inadvertently pooled values.
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