Manuals/calci/CHIDIST

CHIDIST(Number,Degreeoffreedom)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number} is the value for which distribution is evaluated.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom} is the number of degrees of freedom.

Description

• This function gives the one_tailed probability of the chi-squared distribution.
• It is denoted by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \chi^2} distribution.
• Normally categorical data's may displayed in tables.
• The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \chi^2} static used to compare the observed value in each table to the assumed value.
• The conditions of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \chi^2} test is

1. The table should be 2x2 or more than 2x2
2. Each observations should not be dependent
3. All expected values should be 10 or greater.

• The test statistic is:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \chi^2=\sum\frac{(Oi-Ei)^2}{Ei}} The degrees of freedom are: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (r–1)(c–1)}

• r = No. of rows
• c = No. of columns

Where:

• Oi-the observed value in the ith cell
• Ei- the expected value in the ith cell

Also this function will the result as Error when

1. The $Number$ & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom} values are non-numeric
2. The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number} value is negative or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom} value is not an integer
3. The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom < 1} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom > 10^{10}}
4. Here CHIDIST=P(X>x),where X is a Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \chi^2} random variable.

• CHIDIST(-2,1)=Error, because Number is negative.
• CHIDIST(2,-1)=Error, because Degreeoffreedom<1

ZOS section

• The syntax is to calculate CHIDIST in ZOS is CHIDIST(Number,Degreeoffreedom).
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number} is the value for which distribution is evaluated.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Degreeoffreedom} is the number of degrees of freedom.
• For e.g.,CHIDIST(10..12,5.1..7.1..0.6)

Chi-squared Distribution

Examples

CHIDIST(Number,Degreeoffreedom)	x	df	RESULT
CHIDIST(18,2)	18	2	0.0001234098
CHIDIST(15,1)	15	1	0.0001075112
CHIDIST(2,1)	2	1	0.157299207050
CHIDIST(-2,1)	-2	1	error
CHIDIST(2,-1)	2	-1	error

Related Videos

Chi-Square Distribution

See Also

• CHITEST

References

CHI-SQUARE Distribution