Variation ratio is a statistical termstatisticsThe research phenomenon in the middle is off centerindexone of.The difference ratio refers to the ratio of the number of times of non mode in the population to the total number of times in the population.In other words, the ratio of non crowd arrays to the total frequency.
Frequency of public array[1], m represents the number of arrays.
Calculation formula 2
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Among them,
It represents the ratio of different people,
Represents the number of modes, and N represents the total number of overall units (i.e. the overall number of times).
Purpose and significance
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The crowding ratio is mainly suitable for measuring the dispersion of classified data. Of course, forSequential dataas well asNumerical dataYou can also calculate the ratio of different people.Although it is also a relative indicator reflecting the degree of dispersionStandard deviation coefficientDifferent.
The difference ratio is mainly used to measure the representation of the mode to a group of data.The higher the ratio of non crowd, the greater the proportion of non crowd array frequency in the total frequency, and the worse the representativeness of the mode;The smaller the difference ratio, the smaller the proportion of the frequency of the non popular array in the total frequency, and the better the representativeness of the mode.
Characteristics of the ratio of different people
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The function of the ratio of different people is to measureModeRepresentation of a group of data.The higher the ratio of non crowd, the greater the proportion of non crowd array frequency in the total frequency, and the worse the representativeness of the mode;The smaller the difference ratio, the smaller the proportion of the frequency of the non popular array in the total frequency, and the better the representativeness of the mode.[1]
Scope of application of crowding ratio
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The difference ratio is mainly used formeasureClassified dataDegree of dispersionOf course, for sequential data and numerical data, the crowding ratio can also be calculated.[1]
example
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For example, we calculated that in a survey of 50 people, we bought other brands of beverages (excludingCoca ColaThe number of people from other brands is up to 70%, and the ratio of different brands is relatively large, which means that "Coca Cola" is a poor representation of consumers' purchase of beverage brands, and its mode representation is not very obvious.[2]