An Introduction to the Theory of Mental and Social Measurements |
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Page 36
... approximately coincident when the distribution is of only a small number of measures , the differences between them being in the long run greater the smaller the number of measures is . A de- viation of any amount above the average is ...
... approximately coincident when the distribution is of only a small number of measures , the differences between them being in the long run greater the smaller the number of measures is . A de- viation of any amount above the average is ...
Page 45
... approximately at the average , so that both are nearly coincident with the median , and ( 2 ) characterized by a slow decrease in frequency for a certain distance above and below the mode , a more rapid decrease from then on for a way ...
... approximately at the average , so that both are nearly coincident with the median , and ( 2 ) characterized by a slow decrease in frequency for a certain distance above and below the mode , a more rapid decrease from then on for a way ...
Page 46
... approximately the same statistical problem . In these figures ( 21 to 47 ) the continuous lines enclose the sur- face of frequency of the trait in question . The dotted lines give the surface which would be found if the distribution of ...
... approximately the same statistical problem . In these figures ( 21 to 47 ) the continuous lines enclose the sur- face of frequency of the trait in question . The dotted lines give the surface which would be found if the distribution of ...
Page 57
... approximately normal distribution , which differ in respect to the amount of the trait . It is clear from the diagrams that the result on the form of distribution of the total group will be multimodality or a flattening of the top of ...
... approximately normal distribution , which differ in respect to the amount of the trait . It is clear from the diagrams that the result on the form of distribution of the total group will be multimodality or a flattening of the top of ...
Page 58
... approximately normal distribution , that it is cer- tainly advisable always , when confronted by a group measure show- ing skew distribution , to ascertain whether the group is not a par- tial picking from a normally distributed total ...
... approximately normal distribution , that it is cer- tainly advisable always , when confronted by a group measure show- ing skew distribution , to ascertain whether the group is not a par- tial picking from a normally distributed total ...
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Common terms and phrases
75 percentile a-t words A. L. Bowley A's marked absolute zero algebraic Anthropometry Aobt approximately arithmetic array average deviation boys calculated cent central tendency Cephalic Index chance chapter Clark Wissler coefficient of correlation constant error deviate less difference divergence of true Dollars equal fact form of distribution formulæ Francis Galton Franz Boas girls give given illustration individual measures instance Karl Pearson limits mean measures by relative measures of variability median mental measurements mental sciences mental traits method mode normal distribution normal probability number of causes number of children number of measures P. E.dis probability surface problem Quantity ratings ratio relationship relative position represent result Royal Statistical Society scale series of measures Square student surface of frequency table of frequencies tion total distribution true average true measure Udny Yule units of amount values variation zero points
Popular passages
Page 38 - The standard deviation, mathematically, is the square root of the average of the squares of the deviations of the individual cases from the mean.
Page 47 - Dire tengo antipatía senores; esto seria necedad, porque hombre vale siempre tanto como otro hombre. Todas clases hombres merito; resumidas cuentas, sulpa suya vizxonde; pero dire sobrina puede contar dote viente cinco duros menos, tengo apartado; pardiez tamado trabajo atesorar-los para enriquecer estrano. Vizconde rico. Mios, quiero ganado sudor frente salga familia; suyo, pertenence, tendran. Conozco marido pueda convenirle Isabel; Carlos, sobrino. Donde muchacho honrado, mejor indole, juicioso,...
Page 123 - ... would, per contra, mean that the city which spent most for one item would spend the smallest amount for the other, that any degree above the average or median in the one would be accompanied by the same degree below the average or median for the other, and vice versa. A coefficient of + 62 % would mean that (comparison being rendered fair here, as always, by reduction to the variabilities as units) any given station for one item would, on the whole, imply 62 hundredths of that station for the...
Page 127 - ... the influence of chance inaccuracy in the measures to be related is always to produce zero correlation. If two series of pairs of values are due entirely to chance the correlation will be zero, and in so far as they are at all due to chance, the correlation will be reduced toward zero. "The chance variation, which in the long run cuts its own throat in the case of averages, can not, in the case of a correlation, be . . . rendered innocuous by mere numbers.
Page 123 - It expresses the degree of relationship from which the actual cases might have arisen with least improbability. It has possible values from +100 percent through 0 to — 100 percent. A coefficient of correlation between two abilities of +100 percent means that the individual who is the best in the group in one ability will be the best in the other, that the worst man in the one will be the worst in the other, that if the individuals were ranged in order of excellence in the first ability and then...
Page 123 - A coefficient of + 62 per cent. would mean that (comparison being rendered fair here as always by reduction to the variabilities as units) any given station in the one trait would imply 62 hundredths of that station in the other. A coefficient of — 62 would of course mean that any degree of superiority would involve 62 hundredths as much inferiority, and vice versa...
Page 47 - The given words were in the case of the easy opposites — good, outside, quick, tall, big, loud, white, light, happy, false, like, rich, sick, glad, thin, empty, war, many, above, friend. Part-whole test.
Page 69 - There is nothing arbitrary or mysterious about variability which makes the so-called normal type of distribution a necessity, or any more rational than any other sort, or even more to be expected on a priori grounds. Nature does not abhor irregular distributions.