Difference between revisions of "ChiSquaredTest Command"
From GeoGebra Manual
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:: <math> \text{expected count} = \frac{\text{row total} × \text{column total}}{\text{total observed counts}} </math> | :: <math> \text{expected count} = \frac{\text{row total} × \text{column total}}{\text{total observed counts}} </math> | ||
:Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | :Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | ||
− | + | :{{example|1=<div><code><nowiki>ChiSquaredTest[{{1, 2, 1}, {3, 2, 3}}]</nowiki></code> yields ''{0.69, 0.75}''.</div>}} | |
;ChiSquaredTest[ <List>, <List> ] | ;ChiSquaredTest[ <List>, <List> ] | ||
:Performs a Goodness of Fit test that compares the given list of observed counts against the given list of expected counts. | :Performs a Goodness of Fit test that compares the given list of observed counts against the given list of expected counts. | ||
:Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | :Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | ||
− | + | :{{example|1=<div><code><nowiki>ChiSquaredTest[{1, 2, 3, 4}, {3, 2, 4, 2}]</nowiki></code> yields ''{0.31, 3.58}''.</div>}} | |
;ChiSquaredTest[ <Matrix>, <Matrix> ] | ;ChiSquaredTest[ <Matrix>, <Matrix> ] | ||
:Performs a [[w:Chi-squared_test|chi-squared test]] that compares the given matrix of observed counts against the given matrix of expected counts. | :Performs a [[w:Chi-squared_test|chi-squared test]] that compares the given matrix of observed counts against the given matrix of expected counts. | ||
:Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | :Results are returned in list form as ''{Probabilty value, chi-squared test statistic}''. | ||
+ | :{{example|1=<div><code><nowiki>ChiSquaredTest[{{1, 2, 1}, {3, 2, 3}}, {{2, 3, 2}, {4, 2, 3}}]</nowiki></code> yields ''{0.45, 1.58}''.</div>}} |
Revision as of 09:25, 3 September 2013
- ChiSquaredTest[ <Matrix> ]
- Performs a chi-squared test that compares the given matrix of observed counts against the matrix of expected counts determined by the hypothesis of independence.
- The matrix of expected counts is calculated internally. Each expected count is found from the row and column totals of the given matrix of observed counts using the rule:
- \text{expected count} = \frac{\text{row total} × \text{column total}}{\text{total observed counts}}
- Results are returned in list form as {Probabilty value, chi-squared test statistic}.
- Example:
ChiSquaredTest[{{1, 2, 1}, {3, 2, 3}}]
yields {0.69, 0.75}.
- ChiSquaredTest[ <List>, <List> ]
- Performs a Goodness of Fit test that compares the given list of observed counts against the given list of expected counts.
- Results are returned in list form as {Probabilty value, chi-squared test statistic}.
- Example:
ChiSquaredTest[{1, 2, 3, 4}, {3, 2, 4, 2}]
yields {0.31, 3.58}.
- ChiSquaredTest[ <Matrix>, <Matrix> ]
- Performs a chi-squared test that compares the given matrix of observed counts against the given matrix of expected counts.
- Results are returned in list form as {Probabilty value, chi-squared test statistic}.
- Example:
ChiSquaredTest[{{1, 2, 1}, {3, 2, 3}}, {{2, 3, 2}, {4, 2, 3}}]
yields {0.45, 1.58}.