The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. Such measures can be used in statistical hypothesis testing, e.g. to test for normality of residuals, to test whether two samples are drawn from identical distributions (see Kolmogorov–Smirnov test), or whether outcome frequencies follow a specified distribution (see Pearson's chi-squared test). In the analysis of variance, one of the components into which the variance is partitioned may be a lack-of-fit sum of squares.
Read more about Goodness Of Fit: Fit of Distributions, Regression Analysis, Other Measures of Fit
Famous quotes containing the words goodness of, goodness and/or fit:
“What a lovely thing a rose is!... Our highest assurance of the goodness of Providence seems to me to rest in the flowers. All other things, our powers, our desires, our food, are all really necessary for our existence in the first instance. But the rose is an extra. Its smell and its colour are an embellishment of life, not a condition of it. It is only goodness which gives extras.”
—Sir Arthur Conan Doyle (1859–1930)
“Men should not try to overstrain their goodness more than any other faculty, bodily or mental.”
—Samuel Butler (1835–1902)
“Many politicians of our time are in the habit of laying it down as a self-evident proposition that no people ought to be free till they are fit to use their freedom. The maxim is worthy of the fool in the old story who resolved not to go into the water until he had learnt to swim. If men are to wait for liberty till they become wise and good in slavery, they may indeed wait forever.”
—Thomas Babington Macaulay (1800–1859)