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

### Other articles related to "goodness of fit, fit":

**Goodness of Fit**

... Consultation of the chi-squared distribution for 1 degree of freedom shows that the probability of observing this difference (or a more extreme difference than this) if men and women are equally numerous in the population is approximately 0.23 ... This probability is higher than conventional criteria for statistical significance (0.001–0.05), so normally we would not reject the null hypothesis that the number of men in the population is the same as the number of women (i.e ...

**Goodness of Fit**

... is also a form of Moran or Moran-Darling statistic, M(θ), which can be used to test

**goodness of fit**...

**Goodness Of Fit**- Other Measures of Fit

... ratio test statistic is a measure of the

**goodness of fit**of a model, judged by whether an expanded form of the model provides a substantially improved

**fit**...

### Famous quotes containing the words goodness of, fit and/or goodness:

“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)

“Little do such men know the toil, the pains,

The daily, nightly racking of the brains,

To range the thoughts, the matter to digest,

To cull *fit* phrases, and reject the rest.”

—Charles Churchill (1731–1764)

“Come let us mock at the good

That fancied *goodness* might be gay,

And sick of solitude

Might proclaim a holiday:

Wind shrieked and where are they?”

—William Butler Yeats (1865–1939)