Statistical Modeling: A Fresh Approach (Project MOSAIC Books) by Daniel Kaplan
Author:Daniel Kaplan [Kaplan, Daniel]
Language: eng
Format: azw3, epub
Publisher: Project MOSAIC Books
Published: 2017-07-11T04:00:00+00:00
Example: High Income
In most societies, incomes have a skew distribution; very high incomes are more common than you might expect. In the United States, for instance, data on middle-income families in 2005 suggests a mean of about $50,000 per year and a standard deviation of about $20,000 per year (taking "middle-income" to mean the central 90% of families). If incomes were distributed in a bell-shaped, normal manner, this would imply that the 99th percentile of income would be $100,000 per year. But this understates matters. Rather than being normal, the distribution of incomes is better approximated with a log-normal distribution.(Montroll and Schlesinger 1983) Using a log-normal distribution with parameters set to match the observations for middle-income familes gives a 99th percentile of $143,000.
Examples of Log-normal Models
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