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Speaking Stata: Smoothing in various directions AgEcon
Cox, Nicholas J..
Identifying patterns in bivariate data on a scatterplot remains a basic statistical problem, with special avor when both variables are on the same footing. Ideas of double, diagonal, and polar smoothing inspired by Cleveland and McGill’s 1984 paper in the Journal of the American Statistical Association are revisited with various examples from environmental datasets. Double smoothing means smoothing both y given x and x given y. Diagonal smoothing means smoothing based on the sum and difference of y and x that treats the two variables symmetrically, possibly under standardization. Polar smoothing is based on the transformation from Cartesian to polar coordinates followed by smoothing and then reverse transformation; here the smoothing is implemented by...
Tipo: Journal Article Palavras-chave: Exploratory data analysis; Statistical graphics; Bivariate data; Double smoothing; Doublesm; Diagonal smoothing; Diagsm; Polar smoothing; Polarsm; Research Methods/ Statistical Methods.
Ano: 2005 URL: http://purl.umn.edu/117548
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Speaking Stata: Density probability plots AgEcon
Cox, Nicholas J..
Density probability plots show two guesses at the density function of a continuous variable, given a data sample. The first guess is the density function of a specified distribution (e.g., normal, exponential, gamma, etc.) with appropriate parameter values plugged in. The second guess is the same density function evaluated at quantiles corresponding to plotting positions associated with the sample’s order statistics. If the specified distribution fits well, the two guesses will be close. Such plots, suggested by Jones and Daly in 1995, are explained and discussed with examples from simulated and real data. Comparisons are made with histograms, kernel density estimation, and quantile–quantile plots.
Tipo: Journal Article Palavras-chave: Density probability plots; Distributions; Histograms; Kernel density estimation; Quantile–quantile plots; Statistical graphics; Research Methods/ Statistical Methods.
Ano: 2005 URL: http://purl.umn.edu/117517
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Speaking Stata: The protean quantile plot AgEcon
Cox, Nicholas J..
Quantile plots showing by default ordered values versus cumulative probabilities are both well known and also often neglected, considering their major advantages. Their flexibility and power is emphasized by using the qplot program to show several variants on the standard form, making full use of options for reverse, ranked, and transformed scales and for superimposing and juxtaposing quantile traces. Examples are drawn from the analysis of species abundance data in ecology. A revised version of qplot is formally released with this column. Distribution plots in which the axes are interchanged are also discussed briefly, in conjunction with a revised version of distplot, also released now.
Tipo: Journal Article Palavras-chave: Qplot; Distplot; Distributions; Quantile plots; Statistical graphics; Species abundance; Ecology; Whittaker plots; Broken stick; Lognormal; Power laws; Scaling laws; Research Methods/ Statistical Methods.
Ano: 2005 URL: http://purl.umn.edu/117532
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