On Mechanical Tabulation of Polynomials

McPherson, John C.

doi:10.1214/aoms/1177731714

Cited by 4 publications

(3 citation statements)

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“…Rozran and Wagner [13] cite several investigators who discovered the method before they, Rozran and Wagner, discovered it. The summation method has been extended to the computation of polynomials by McPherson [10]. Toops [14] brought the progressive summation method to the attention of psychologists and educators, and has made other contributions in this area [15,16,17,18] Mendenhall and Warren [11,12] were the first to publish a tabulating machine method for computing the moments required in correlation by progressive summation.…”

Section: Machine Computation Of Higher Moments Nathan Jaspenmentioning

confidence: 99%

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Machine Computation of Higher Moments

Jaspen

1956

Journal of the American Statistical Association

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Section: Machine Computation Of Higher Moments Nathan Jaspenmentioning

confidence: 99%

“…10. Spacing is suppressed for the first four programs, so that the four program steps for each control break print on the same line.…”

Section: Machine Computation Of Higher Moments Nathan Jaspenmentioning

confidence: 99%

Machine Computation of Higher Moments

Jaspen

1956

Journal of the American Statistical Association

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“…McPherson (54) gave the background for the mechanical tabulation of polynomials for which the machines had been adapted (89). Sandomire (68) accumulated cubes directly from punched cards and Feinstein and Schwarzschild (26) used the machines for automatic integration of differential equations.…”

Section: Statistical Applicationsmentioning

confidence: 99%

Chapter VIII: Tabulating and Test-Scoring Machines: Applications of International Business Machines to Educational Research

Lorge¹

1942

Review of Educational Research

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ANY REVIEW of the literature on applications of machine methods to tabulation, computation, and test scoring at the present time will be incomplete and inadequate. Many applications of machine methods have not yet been given formal publication. The present review will be limited to the machines developed by the International Business Machines Corporation and to applications of those machines to educational research. No single book covers the variety of machines available or the variety of applications possible. It is hoped that the long promised (since 1935) publication on "Questionnaires, Standard Codes, and Hollerith Machines" by H. A. Toops will be published soon.The IBM machines include a large variety of punches, sorters, accounting machines, auxiliary machines, and special devices. The less well-known machines are the alphabetical interpreter, which prints punched information across a card; the collator which compares two sets of punched cards in order to match them or merge them; the duplicating summary punch; the gang summary punch; the automatic reproducing punch; and the automatic multiplying punch. Some special devices are the cross-footing device which makes possible computations such as E ± [(A X B) C -D]; the card cycle total transfer device which enables speedier summation of cumulative sums; the card matching device for selection of specified profiles; the digit selector particularly useful for item analysis; the marksensing device which punches data into punch cards from pencil marks; and the test scoring device for grading questionnaires like the Strong Vocational Interest blanks. In addition, the IBM machines include the test scoring machine with its graphic item counter and the aggregate weighting device.The machines, in general, make for greater speed in recording, classifying, and tabulating data, and in computing statistics. Because of great speed, the availability of data makes for greater statistical control of multivariate background data and extends the possibilities of research reporting. General Books and ArticlesThe basic reference in the applications of punched card machines is Baehne (2), which includes chapters on the development and principles of Hollerith machines (Arkin), on applications to work of registrars*

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Machine Computation of Higher Moments

Jaspen

1956

Journal of the American Statistical Association

View full text Add to dashboard Cite

On Mechanical Tabulation of Polynomials

Cited by 4 publications

References 4 publications

Machine Computation of Higher Moments

Machine Computation of Higher Moments

Chapter VIII: Tabulating and Test-Scoring Machines: Applications of International Business Machines to Educational Research

Machine Computation of Higher Moments

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