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 $\chi ^{2}$ 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 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} & 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