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" The standard deviation, mathematically, is the square root of the average of the squares of the deviations of the individual cases from the mean. "
An Introduction to the Theory of Mental and Social Measurements - Page 38
by Edward Lee Thorndike - 1904 - 212 pages
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Studies from the Yale Psychological Laboratory, Volumes 6-9

Yale University Psychology Laboratory - Psychology - 1899 - 538 pages
...another representative variation. Mean error. Another representative deviation might be found by taking the square root of the average of the squares of the deviations, or \V* . pJ >/ If I ' i ' ' t < " ' ~r M This is known as the " mean error," or "mean -square error,"...
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Educational Psychology

Edward Lee Thorndike - Education - 1903 - 196 pages
...individual measures lie between Av. — PE and Av.+ PE The standard deviation (a) of a distribution = the square root of the average of the squares of the...deviations of the individual measures from their average. The coefficient of variability = some measure of variability divided by some measure of the general...
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Educational Psychology

Edward Lee Thorndike - Education - 1903 - 198 pages
...individual measures lie between Av. — PE and Av.+ PE The standard deviation (a) of a distribution = the square root of the average of the squares of the...deviations of the individual measures from their average. The coefficient of variability = some measure of variability divided by some measure of the general...
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Some Fiscal Aspects of Public Education in American Cities

Edward Charles Elliott - Education - 1905 - 124 pages
...central tendency of any item of expenditure; or a more accurate measure yet of this group deviation, the square root of the average of the squares of the deviations of the individual measures from their median—the so-called mean square deviation, or standard deviation. As these measures are concerned...
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Empirical Studies in the Theory of Measurement, Issue 3

Edward Lee Thorndike - Variation (Biology) - 1907 - 60 pages
...Average Deviation The most burdensome of the ordinary statistical operations is the calculation of the square root of the average of the squares of the deviations of a series of measures from their central tendency, that is, of the mean square deviation. In the case...
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The Psychology of Mentally Deficient Children

Naomi Norsworthy - Children with mental disabilities - 1908 - 648 pages
...Average Deviation The most burdensome of the ordinary statistical operations is the calculation of the square root of the average of the squares of the deviations of a series of measures from their central tendency, that is, of the mean square deviation. In the case...
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Educational Psychology

Edward Lee Thorndike - Educational psychology - 1910 - 274 pages
...signs) of the individual measures from their central tendency. The Mean Square Deviation (SD dis.) = the square root of the average of the squares of the deviations of the individual measures from their central tendency. Measures of Reliability. The average deviation of the true central tendency from...
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An Empirical Study of Certain Tests for Individual Differences

Mary Theodora Whitley - Psychophysiology - 1911 - 160 pages
...smallest stroke of virtue or of vice leaves its never so little scar. m 66 The mean square deviation equals the square root of the average of the squares...individual measures from their average, median, or mode. IV The abstract scheme of successive predications, extended indefinitely, with all the possibilities...
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An Empirical Study of Certain Tests for Individual Differences, Issue 19

Mary Theodora Whitley - Psychophysiology - 1912 - 694 pages
...sorts: measures of the averaging type and measures of the percentile type. The mean square deviation equals the square root of the average of the squares...individual measures from their average, median, or mode. IV The abstract scheme of successive predications, extended indefinitely, with all the possibilities...
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Deficiency and Delinquency: An Interpretation of Mental Testing

James Burt Miner - Children with disabilities - 1918 - 382 pages
...standard deviation regarded as unity. This SD is the best measure of the scatter of the deviations. It is the square root of the average of the squares of the deviations of the separate measurements from the average of all the measurements. There are approximately four units...
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