Machine Computation of Higher Moments

Jaspen, Nathan

doi:10.1080/01621459.1956.10501341

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Estimated Cumulants For True Scores and Errore1

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1957

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“…The multivariate symmetric functions of the four test scores were computed for each of the four groups separately by machine methods similar to those described by Jaspen [3]. All the multivariate k -statistics of the observed scores were then computed for the fourth and lower orders by means of equations 9 to 12.…”

Section: Estimated Cumulants For True Scores and Errorementioning

confidence: 99%

Inferring the Shape of the Frequency Distribution of True Scores and of Errors of Measurement

Lord¹

1957

ETS Research Bulletin Series

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Given k parallel, fallible measures on each individual in a group, all the multivariate cumulants of k ‐th and lover orders for the joint distribution of true scores and errors of measurement may be expressed as simple linear functions of the multivariate cumulants of the fallible measures. It is assumed only that the number of examinees is large; that over a very large number of different testings, the average error of measurement will be zero for each examinee; and that the errors of measurement for two different examinees, or for two different testings of the same examinee, are independently distributed. The form of the frequency distribution of the errors is unspecified and may be different for different individuals. The results of a numerical application to psychological test data are given.

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Section: Estimated Cumulants For True Scores and Errorementioning

confidence: 99%

Inferring the Shape of the Frequency Distribution of True Scores and of Errors of Measurement

Lord¹

1957

ETS Research Bulletin Series

View full text Add to dashboard Cite

show abstract

Machine Computation of Higher Moments

Cited by 1 publication

References 10 publications

Inferring the Shape of the Frequency Distribution of True Scores and of Errors of Measurement

Inferring the Shape of the Frequency Distribution of True Scores and of Errors of Measurement

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