The chi-square test is an alternative to the Anderson-Darling and Kolmogorov-Smirnov goodness-of-fit tests. The chi-square goodness-of-fit test can be applied to discrete distributions such as the binomial and the Poisson.
www.itl.nist.gov/div898/handbook/eda/section3/eda35f.ht... www.itl.nist.gov/div898/handbook/eda/section3/eda35f.htm
One statistical test that addresses this issue is the chi-square goodness of fit test. This test is commonly used to test association of variables in two-way tables (see "Two-Way Tables and the Chi-Square Test"), where the assumed model of independence is evaluated against the observed data.
www.stat.yale.edu/Courses/1997-98/101/chigf.htm www.stat.yale.edu/Courses/1997-98/101/chigf.htm
In the study of genetics one frequently runs into situations that are resolved using what is called a Chi-Square Goodness of Fit Test. This is a test that is particularly adept at determining how well a model fits observed data.
frank.itlab.us/datamodel/node42.html
Goodness of fit - Wikipedia, the free encyclopedia
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 ex...
en.wikipedia.org/wiki/Goodness_of_fit
Chi-square distribution - Wikipedia, the free encyclopedia
In probability theory and statistics, the chi-square distribution (also chi-squared or 'chi (letter)| χ ]] 2 -distribution ') is one of the most widely used theoretical probability distribut...
en.wikipedia.org/wiki/Chi-square_distribution
where in this case there are 10 x values, so k=10. (This formula says: find how each x deviates from the mean µ, square each difference, ... If chi-square is "a lot" bigger than expected something is wrong. Thus one purpose of chi-square is to compare observed results with expected results and see if the result is likely.
www.physics.csbsju.edu/stats/chi-square.html www.physics.csbsju.edu/stats/chi-square.html
Chi-Square "Goodness of Fit" Test ... This page will calculate the value of chi-square for a one-dimensional "goodness of fit" test, for up to 8 mutually exclusive categories labeled A through H. To enter an observed cell frequency, click the cursor into the appropriate cell, then type in the value.
faculty.vassar.edu/lowry/csfit.html faculty.vassar.edu/lowry/csfit.html
You may also see the Chi-square test called a "goodness of fit" test. That is to say, the Chi- square test is used to see if grouped data "fit" into declared groups, or if the data instead do not "fit" into the group.
www.nyx.net/~tmacfarl/STAT_TUT/chi_squa.ssi www.nyx.net/~tmacfarl/STAT_TUT/chi_squa.ssi
What it is: The Chi Square Goodness of Fit test determines if the observed frequencies are different from what we would expect to find (we expect to see equal numbers in each group within a variable).
www.wellesley.edu/Psychology/Psych205/chisquaregood.htm... www.wellesley.edu/Psychology/Psych205/chisquaregood.html
Web based materials for teaching statistics ... Instructional Demos; Chi Square Test of Deviations from Expected Frequencies; Rice Virtual Lab in Statistics; 2x2 Contingency Tables; Rice Virtual Lab in Statistics; Text; Chi Square Tutorial by Jeff Connor-Linton ; ... Chi Square by G. David Hopkins...
davidmlane.com/hyperstat/chi_square.html davidmlane.com/hyperstat/chi_square.html