The Measurement of Variable Quantities
The Measurement of Variable Quantities
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If a certain measurement in the unlimited series — which we shall call the type series — occurs with a certain relative frequency, the question arises whether in a limited series of observations we may expect this measurement with the same relative frequency, or whether it is probable that other relative frequencies may be found.
Digitized by Google 34 THE MEASUREMENT OF VARIABLE QUANTITIES To solve this question a nnmber of simple definitions and proposi- tions relating to the theory of probab...ilities are required.
1. Probability p is called the ratio between the frequency / of an event and the total number of cases n in which the event may occur.
(24) p: 71 If I throw one 10,000 times among 60,000 casts with an ordinary die, the probability p of the throw one is 10,000/60,000. Since the frequency / can never be less than zero nor more than n, it follows that p is always a proper fraction.
It follows from this definition that the frequency is equal to the product of the probability and the number of cases.
What to read after The Measurement of Variable Quantities?
You can find similar books in the "Read Also" column, or choose other free books by Boas, Franz, 1858-1942 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If a certain measurement in the unlimited series — which we shall call the type series — occurs with a certain relative frequency, the question arises whether in a limited series of observations we may expect this measurement with the same relative frequency, or whether it is probable that other relative frequencies may be found.
Digitized by Google 34 THE MEASUREMENT OF VARIABLE QUANTITIES To solve this question a nnmber of simple definitions and proposi- tions relating to the theory of probab...ilities are required.
1. Probability p is called the ratio between the frequency / of an event and the total number of cases n in which the event may occur.
(24) p: 71 If I throw one 10,000 times among 60,000 casts with an ordinary die, the probability p of the throw one is 10,000/60,000. Since the frequency / can never be less than zero nor more than n, it follows that p is always a proper fraction.
It follows from this definition that the frequency is equal to the product of the probability and the number of cases.
What to read after The Measurement of Variable Quantities?
You can find similar books in the "Read Also" column, or choose other free books by Boas, Franz, 1858-1942 to read onlineMoreLess
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